Kazimir Majorinc http://kazimirmajorinc.blogspot.com http://instprog.com Lot of Reduced Lambda Expressions ------ 25001/1378137. ------ 1. ==[ start ]==> (((a a) a)((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 25002/1378155. ------ 1. ==[ start ]==> (((^a.a)(a a))((a (a a))(^b.(^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. ------ 25003/1378164. ------ 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))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.z))) 9. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 10. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 25004/1378191. ------ 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))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 25005/1378218. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 25006/1378236. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 25007/1378245. ------ 1. ==[ start ]==> (((a a) b)((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a) b)((^x.x)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a) b)((^y.y)(a a))) 4. ==[ alpha ]==> (((a a) b)((^x.x)(a a))) 5. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 25008/1378263. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^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. ------ 25009/1378272. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 25010/1378290. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a b) b)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a b) b)) 3. ==[ beta ]==> ((a (^y.y))((a b) b)) 4. ==[ alpha ]==> ((a (^x.x))((a b) b)) REDUCED to normal form. ------ 25011/1378299. ------ 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. ------ 25012/1378380. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^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. ------ 25013/1378461. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.a)(^b.(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. ------ 25014/1378506. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.b) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.b) b)) 3. ==[ beta ]==> (((^y.y) a)((^z.b) b)) 4. ==[ alpha ]==> (((^x.x) a)((^y.b) b)) 5. ==[ beta ]==> (a ((^y.b) b)) 6. ==[ alpha ]==> (a ((^x.b) b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 25015/1378605. ------ 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)(^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)(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. ------ 25016/1378632. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))((a a) a))) REDUCED to normal form. ------ 25017/1378659. ------ 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. ------ 25018/1378677. ------ 1. ==[ start ]==> (((^a.(a a)) a)(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(a (^y.(a a)))) 3. ==[ beta ]==> ((a a)(a (^y.(a a)))) 4. ==[ alpha ]==> ((a a)(a (^x.(a a)))) REDUCED to normal form. ------ 25019/1378695. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a b)(^z.z))) 3. ==[ beta ]==> ((^y.(y y))((a b)(^z.z))) 4. ==[ alpha ]==> ((^x.(x x))((a b)(^y.y))) 5. ==[ beta ]==> (((a b)(^y.y))((a b)(^y.y))) 6. ==[ alpha ]==> (((a b)(^x.x))((a b)(^y.y))) REDUCED to normal form. ------ 25020/1378722. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((a a) a)(^a.(^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. ------ 25021/1378758. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.(^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. ------ 25022/1378776. ------ 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 ]==> (((^y.y)(^y.y))((a (a a))(^z.(z z)))) 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. ------ 25023/1378785. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(x x))(a (a a)))) 3. ==[ beta ]==> (((a (a a)) a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 25024/1378803. ------ 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)))) 5. ==[ beta ]==> ((a (a a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 25025/1378812. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 25026/1378839. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(^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. ------ 25027/1378866. ------ 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. ------ 25028/1378884. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a b) a)) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a b) a)) 3. ==[ beta ]==> (((a a)(a a))((a b) a)) REDUCED to normal form. ------ 25029/1378893. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.b)(^z.z))) 3. ==[ beta ]==> (((a (a a))(^x.x)) b) REDUCED to normal form. ------ 25030/1378911. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a) b)) REDUCED to normal form. ------ 25031/1379001. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b b)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b b)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 25032/1379037. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(b ((a a) a))) 3. ==[ beta ]==> ((a (^y.y))(b ((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))(b ((a a) a))) REDUCED to normal form. ------ 25033/1379073. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.b) a)) 3. ==[ beta ]==> ((^y.y)((^x1.b) a)) 4. ==[ alpha ]==> ((^x.x)((^y.b) a)) 5. ==[ beta ]==> ((^y.b) a) 6. ==[ alpha ]==> ((^x.b) a) 7. ==[ beta ]==> b REDUCED to normal form. ------ 25034/1379127. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.(^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. ------ 25035/1379190. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c (^z.(^x1.x1)))) REDUCED to normal form. ------ 25036/1379217. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(b (^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(b (^z.a))) REDUCED to normal form. ------ 25037/1379244. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(a (^z.b))) 3. ==[ beta ]==> ((a (^y.a))(a (^z.b))) 4. ==[ alpha ]==> ((a (^x.a))(a (^y.b))) REDUCED to normal form. ------ 25038/1379262. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((a a) a)(^z.z))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((a a) a)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a) a)(^z.z))) REDUCED to normal form. ------ 25039/1379298. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 8. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 25040/1379676. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(c (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(c (^x1.(x1 x1)))) REDUCED to normal form. ------ 25041/1379703. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 25042/1379730. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(a (^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(a (^y.a))) REDUCED to normal form. ------ 25043/1379757. ------ 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.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. ------ 25044/1379784. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 25045/1379802. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((a (^x.b))(a (^z.a))) 4. ==[ alpha ]==> ((a (^x.b))(a (^y.a))) REDUCED to normal form. ------ 25046/1379973. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 25047/1379982. ------ 1. ==[ start ]==> ((a (a b))(b (a (a a)))) REDUCED to normal form. ------ 25048/1380072. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a) c)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.a) c)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a) c)) IRREDUCIBLE: cycle. ------ 25049/1380135. ------ 1. ==[ start ]==> ((((a a) a) b)(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 25050/1380153. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a (a a))(^z.z))) 3. ==[ beta ]==> (b ((a (a a))(^z.z))) 4. ==[ alpha ]==> (b ((a (a a))(^x.x))) REDUCED to normal form. ------ 25051/1380162. ------ 1. ==[ start ]==> (((a b) a)((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a b) a)((^x.(x x))(a a))) 3. ==[ beta ]==> (((a b) a)((a a)(a a))) REDUCED to normal form. ------ 25052/1380180. ------ 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. ------ 25053/1380189. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 25054/1380207. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.a))) 5. ==[ beta ]==> ((a (^y.y))(^z.a)) 6. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 25055/1380243. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 25056/1380261. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.(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. ------ 25057/1380270. ------ 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))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((^z.z)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 25058/1380297. ------ 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. ------ 25059/1380324. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.(^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. ------ 25060/1380351. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.(z z))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 25061/1380369. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y)) a)) 3. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 25062/1380387. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x) a)(a a))) 3. ==[ beta ]==> (((a a)(a b))(a (a a))) REDUCED to normal form. ------ 25063/1380414. ------ 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)))) REDUCED to normal form. ------ 25064/1380441. ------ 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.x1) a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a a)((^z.z) a))) 5. ==[ beta ]==> ((a (^y.y))((a a)((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.x))((a a)((^y.y) a))) 7. ==[ beta ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 25065/1380522. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(b c)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(b c)) REDUCED to normal form. ------ 25066/1380540. ------ 1. ==[ start ]==> (((^a.b) b)((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) 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 ((^y.y) a)) 6. ==[ alpha ]==> (b ((^x.x) a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 25067/1380585. ------ 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 a) REDUCED to normal form. ------ 25068/1380612. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 25069/1380666. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^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 ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 25070/1380747. ------ 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. ------ 25071/1380756. ------ 1. ==[ start ]==> (((a b) b)((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.x)(a (^y.y)))) 3. ==[ beta ]==> (((a b) b)(a (^y.y))) 4. ==[ alpha ]==> (((a b) b)(a (^x.x))) REDUCED to normal form. ------ 25072/1380783. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.(^a.a))(^a.a))) 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. ------ 25073/1380801. ------ 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. ------ 25074/1380810. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 25075/1380828. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 25076/1380837. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(b (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(b (^z.z))) REDUCED to normal form. ------ 25077/1380882. ------ 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 ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a a)(^x1.x1))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a a)(^y1.y1))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a a)(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a)(^x1.x1))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a a)(^x1.x1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.z))) 9. ==[ beta ]==> ((^y.y)((a a)(^z.z))) 10. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 11. ==[ beta ]==> ((a a)(^y.y)) 12. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 25078/1380891. ------ 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))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 25079/1380918. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.z))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^y.y)(^z.z))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 11. ==[ beta ]==> ((^y.y)(^z.z)) 12. ==[ alpha ]==> ((^x.x)(^y.y)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 25080/1380945. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(a (^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(a (^y.y))) REDUCED to normal form. ------ 25081/1380962. ------ 1. ==[ start ]==> (^a.((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (^x.((^y.b)(x (^z.z)))) 3. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 25082/1380963. ------ 1. ==[ start ]==> (a ((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (a ((^x.b)(a (^y.y)))) 3. ==[ beta ]==> (a b) REDUCED to normal form. ------ 25083/1381560. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.(^z.(y y)))) 3. ==[ beta ]==> ((^y.(^z.(y y)))((^y.(^z.(y y)))(^y.(^z.(y y))))) 4. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.(z z)))(^y1.(^z1.(y1 y1))))) 5. ==[ beta ]==> (^y.(((^z.(^x1.(z z)))(^y1.(^z1.(y1 y1))))((^z.(^x1.(z z)))(^y1.(^z1.(y1 y1)))))) 6. ==[ alpha ]==> (^x.(((^y.(^z.(y y)))(^x1.(^y1.(x1 x1))))((^z1.(^x2.(z1 z1)))(^y2.(^z2.(y2 y2)))))) 7. ==[ beta ]==> (^x.((^z.((^x1.(^y1.(x1 x1)))(^x1.(^y1.(x1 x1)))))((^z1.(^x2.(z1 z1)))(^y2.(^z2.(y2 y2)))))) 8. ==[ alpha ]==> (^x.((^y.((^z.(^x1.(z z)))(^y1.(^z1.(y1 y1)))))((^x2.(^y2.(x2 x2)))(^z2.(^x3.(z2 z2)))))) 9. ==[ beta ]==> (^x.((^z.(^x1.(z z)))(^y1.(^z1.(y1 y1))))) 10. ==[ alpha ]==> (^x.((^y.(^z.(y y)))(^x1.(^y1.(x1 x1))))) 11. ==[ beta ]==> (^x.(^z.((^x1.(^y1.(x1 x1)))(^x1.(^y1.(x1 x1)))))) 12. ==[ alpha ]==> (^x.(^y.((^z.(^x1.(z z)))(^y1.(^z1.(y1 y1)))))) 13. ==[ beta ]==> (^x.(^y.(^x1.((^y1.(^z1.(y1 y1)))(^y1.(^z1.(y1 y1))))))) 14. ==[ alpha ]==> (^x.(^y.(^z.((^x1.(^y1.(x1 x1)))(^z1.(^x2.(z1 z1))))))) 15. ==[ beta ]==> (^x.(^y.(^z.(^y1.((^z1.(^x2.(z1 z1)))(^z1.(^x2.(z1 z1)))))))) 16. ==[ alpha ]==> (^x.(^y.(^z.(^x1.((^y1.(^z1.(y1 y1)))(^x2.(^y2.(x2 x2)))))))) 17. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^z1.((^x2.(^y2.(x2 x2)))(^x2.(^y2.(x2 x2))))))))) 18. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.((^z1.(^x2.(z1 z1)))(^y2.(^z2.(y2 y2))))))))) 19. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^x2.((^y2.(^z2.(y2 y2)))(^y2.(^z2.(y2 y2)))))))))) 20. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.((^x2.(^y2.(x2 x2)))(^z2.(^x3.(z2 z2)))))))))) 21. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^y2.((^z2.(^x3.(z2 z2)))(^z2.(^x3.(z2 z2))))))))))) 22. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.((^y2.(^z2.(y2 y2)))(^x3.(^y3.(x3 x3))))))))))) 23. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^z2.((^x3.(^y3.(x3 x3)))(^x3.(^y3.(x3 x3)))))))))))) 24. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.((^z2.(^x3.(z2 z2)))(^y3.(^z3.(y3 y3)))))))))))) 25. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^x3.((^y3.(^z3.(y3 y3)))(^y3.(^z3.(y3 y3))))))))))))) 26. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.((^x3.(^y3.(x3 x3)))(^z3.(^x4.(z3 z3))))))))))))) 27. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^y3.((^z3.(^x4.(z3 z3)))(^z3.(^x4.(z3 z3)))))))))))))) 28. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.((^y3.(^z3.(y3 y3)))(^x4.(^y4.(x4 x4)))))))))))))) 29. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^z3.((^x4.(^y4.(x4 x4)))(^x4.(^y4.(x4 x4))))))))))))))) 30. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.((^z3.(^x4.(z3 z3)))(^y4.(^z4.(y4 y4))))))))))))))) 31. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^x4.((^y4.(^z4.(y4 y4)))(^y4.(^z4.(y4 y4)))))))))))))))) 32. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.((^x4.(^y4.(x4 x4)))(^z4.(^x5.(z4 z4)))))))))))))))) 33. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^y4.((^z4.(^x5.(z4 z4)))(^z4.(^x5.(z4 z4))))))))))))))))) 34. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^x4.((^y4.(^z4.(y4 y4)))(^x5.(^y5.(x5 x5))))))))))))))))) 35. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^x4.(^z4.((^x5.(^y5.(x5 x5)))(^x5.(^y5.(x5 x5)))))))))))))))))) UNREDUCED: maximal number of reductions reached. ------ 25084/1383243. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(z (z z)))) 3. ==[ beta ]==> (^y.((^z.(z (z z)))(^z.(z (z z))))) 4. ==[ alpha ]==> (^x.((^y.(y (y y)))(^z.(z (z z))))) 5. ==[ beta ]==> (^x.((^z.(z (z z)))((^z.(z (z z)))(^z.(z (z z)))))) 6. ==[ alpha ]==> (^x.((^y.(y (y y)))((^z.(z (z z)))(^x1.(x1 (x1 x1)))))) 7. ==[ beta ]==> (^x.(((^z.(z (z z)))(^x1.(x1 (x1 x1))))(((^z.(z (z z)))(^x1.(x1 (x1 x1))))((^z.(z (z z)))(^x1.(x1 (x1 x1))))))) 8. ==[ alpha ]==> (^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))))))) 9. ==[ beta ]==> (^x.(((^z.(z (z z)))((^z.(z (z z)))(^z.(z (z z)))))(((^x1.(x1 (x1 x1)))(^y1.(y1 (y1 y1))))((^z1.(z1 (z1 z1)))(^x2.(x2 (x2 x2))))))) 10. ==[ alpha ]==> (^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))))))) 11. ==[ beta ]==> (^x.((((^z.(z (z z)))(^x1.(x1 (x1 x1))))(((^z.(z (z z)))(^x1.(x1 (x1 x1))))((^z.(z (z z)))(^x1.(x1 (x1 x1))))))(((^y1.(y1 (y1 y1)))(^z1.(z1 (z1 z1))))((^x2.(x2 (x2 x2)))(^y2.(y2 (y2 y2))))))) 12. ==[ alpha ]==> (^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))))))) 13. ==[ beta ]==> (^x.((((^z.(z (z z)))((^z.(z (z z)))(^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))))))) 14. ==[ alpha ]==> (^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))))))) 15. ==[ beta ]==> (^x.(((((^z.(z (z z)))(^x1.(x1 (x1 x1))))(((^z.(z (z z)))(^x1.(x1 (x1 x1))))((^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))))))) 16. ==[ alpha ]==> (^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))))))) 17. ==[ beta ]==> (^x.(((((^z.(z (z z)))((^z.(z (z z)))(^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))))))) 18. ==[ alpha ]==> (^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))))))) 19. ==[ beta ]==> (^x.((((((^z.(z (z z)))(^x1.(x1 (x1 x1))))(((^z.(z (z z)))(^x1.(x1 (x1 x1))))((^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))))))) 20. ==[ alpha ]==> (^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))))))) 21. ==[ beta ]==> (^x.((((((^z.(z (z z)))((^z.(z (z z)))(^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))))))) 22. ==[ alpha ]==> (^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))))))) 23. ==[ beta ]==> (^x.(((((((^z.(z (z z)))(^x1.(x1 (x1 x1))))(((^z.(z (z z)))(^x1.(x1 (x1 x1))))((^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))))))) 24. ==[ alpha ]==> (^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))))))) 25. ==[ beta ]==> (^x.(((((((^z.(z (z z)))((^z.(z (z z)))(^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))))))) 26. ==[ alpha ]==> (^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))))))) 27. ==[ beta ]==> (^x.((((((((^z.(z (z z)))(^x1.(x1 (x1 x1))))(((^z.(z (z z)))(^x1.(x1 (x1 x1))))((^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))))))) 28. ==[ alpha ]==> (^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))))))) 29. ==[ beta ]==> (^x.((((((((^z.(z (z z)))((^z.(z (z z)))(^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))))))) 30. ==[ alpha ]==> (^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))))))) 31. ==[ beta ]==> (^x.(((((((((^z.(z (z z)))(^x1.(x1 (x1 x1))))(((^z.(z (z z)))(^x1.(x1 (x1 x1))))((^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))))))) 32. ==[ alpha ]==> (^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))))))) 33. ==[ beta ]==> (^x.(((((((((^z.(z (z z)))((^z.(z (z z)))(^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))))))) 34. ==[ alpha ]==> (^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))))))) 35. ==[ beta ]==> (^x.((((((((((^z.(z (z z)))(^x1.(x1 (x1 x1))))(((^z.(z (z z)))(^x1.(x1 (x1 x1))))((^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))))))) UNREDUCED: maximal number of reductions reached. ------ 25085/1383822. ------ 1. ==[ start ]==> ((((a a) a)(^b.a)) c) 2. ==[ alpha ]==> ((((a a) a)(^x.a)) c) REDUCED to normal form. ------ 25086/1383840. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a))) a) 2. ==[ alpha ]==> (((^x.b)(a (^y.y))) a) 3. ==[ beta ]==> (b a) REDUCED to normal form. ------ 25087/1383846. ------ 1. ==[ start ]==> ((^a.a)((^a.b)(a (^a.a)))) 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. ------ 25088/1383900. ------ 1. ==[ start ]==> ((^a.b)((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 25089/1383981. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((^z.(^x1.x1))(a b))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.z)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 25090/1384002. ------ 1. ==[ start ]==> (((a a) b)(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((a a) b)(^x.(^y.(a a)))) REDUCED to normal form. ------ 25091/1384170. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.a)(^x1.a))) 3. ==[ eta ]==> ((^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. ------ 25092/1384341. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (a a))(a (a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 25093/1384440. ------ 1. ==[ start ]==> ((^a.(a (a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(a (^y.(a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))((a (^y.(a a)))(a (^y.(a a))))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.(a a)))(a (^z.(a a))))) REDUCED to normal form. ------ 25094/1384443. ------ 1. ==[ start ]==> ((a (a (a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.(x x)))) REDUCED to normal form. ------ 25095/1384830. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^a.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(^x1.(x1 b))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 b))) 4. ==[ alpha ]==> ((^x.x)(^y.(y b))) 5. ==[ beta ]==> (^y.(y b)) 6. ==[ alpha ]==> (^x.(x b)) REDUCED to normal form. ------ 25096/1385172. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.((a a) a))) REDUCED to normal form. ------ 25097/1385223. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.(^a.a))(^a.(^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. ------ 25098/1385631. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^b.((^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)))(^x.(^z.z))) 6. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 25099/1385736. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.(x1 x1))) b) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z))) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 25100/1386000. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 25101/1386108. ------ 1. ==[ start ]==> (((a b)(^a.a))(^c.d)) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.d)) REDUCED to normal form. ------ 25102/1386123. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(a (a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(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))))) REDUCED to normal form. ------ 25103/1386126. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(y (y y)))) REDUCED to normal form. ------ 25104/1386225. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(^y.(y y)))) REDUCED to normal form. ------ 25105/1386297. ------ 1. ==[ start ]==> (((^a.b) b)(^c.(^b.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. ------ 25106/1386306. ------ 1. ==[ start ]==> (((a b)(a a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a a))(^x.((^y.y) a))) 3. ==[ beta ]==> (((a b)(a a))(^x.a)) REDUCED to normal form. ------ 25107/1386330. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(((^z.a)(^x1.x1))((^z.a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.a)(^z.z))((^x1.a)(^y1.y1)))) 5. ==[ beta ]==> (((^y.a)(^z.z))((^x1.a)(^y1.y1))) 6. ==[ alpha ]==> (((^x.a)(^y.y))((^z.a)(^x1.x1))) 7. ==[ beta ]==> (a ((^z.a)(^x1.x1))) 8. ==[ alpha ]==> (a ((^x.a)(^y.y))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 25108/1386513. ------ 1. ==[ start ]==> (((a b) b)(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 25109/1386567. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^c.b)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.b)) REDUCED to normal form. ------ 25110/1386585. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (^z.z)))) 5. ==[ beta ]==> (^y.(y (^z.z))) 6. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 25111/1386648. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^c.(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 25112/1386702. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^b.a)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.a)) REDUCED to normal form. ------ 25113/1386720. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^a.a)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.z)) 3. ==[ beta ]==> (b (^z.z)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 25114/1386732. ------ 1. ==[ start ]==> ((a a)((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.b)(a (^y.y)))) 3. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 25115/1386750. ------ 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. ------ 25116/1386777. ------ 1. ==[ start ]==> (((a a) a)(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a a) a)((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(^y.(y y)))) 5. ==[ beta ]==> (((a a) a)(^y.(y y))) 6. ==[ alpha ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 25117/1386786. ------ 1. ==[ start ]==> ((a b)((^b.(^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. ------ 25118/1386804. ------ 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. ------ 25119/1386831. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.a))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.a))) 5. ==[ beta ]==> (b (a (^y.a))) 6. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 25120/1386840. ------ 1. ==[ start ]==> (((a a)(a a))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.a)((a a) a))) 3. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 25121/1386858. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a (^z.z))(^x1.b))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.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. ------ 25122/1386867. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 25123/1386885. ------ 1. ==[ start ]==> (((a a) b)((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a) b)((a a)(^x.(a a)))) REDUCED to normal form. ------ 25124/1386912. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(a a)) a)) 3. ==[ beta ]==> (((a (^x.x)) a)((a a) a)) REDUCED to normal form. ------ 25125/1386939. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a b) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b) b)) REDUCED to normal form. ------ 25126/1387002. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 25127/1387029. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.x1))(^z.(^x1.x1)))) 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. ------ 25128/1387056. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.a))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.a))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 25129/1387065. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(c ((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(c ((a a) a))) 3. ==[ beta ]==> ((^y.a)(c ((a a) a))) 4. ==[ alpha ]==> ((^x.a)(c ((a a) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 25130/1387092. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^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. ------ 25131/1387128. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(a a)) a)) 3. ==[ beta ]==> ((a a)((^y.(a a)) a)) 4. ==[ alpha ]==> ((a a)((^x.(a a)) a)) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 25132/1387146. ------ 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. ------ 25133/1387155. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.b) b)) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.b) b)) 3. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 25134/1387173. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((a a) a)(a (^x1.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. ------ 25135/1387227. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 25136/1387299. ------ 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. ------ 25137/1387326. ------ 1. ==[ start ]==> ((a (a (a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))(a (^x.(a a)))) REDUCED to normal form. ------ 25138/1387398. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a)(^a.a))(^b.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. ------ 25139/1387425. ------ 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. ------ 25140/1387452. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 25141/1387479. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 25142/1387506. ------ 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. ------ 25143/1387533. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a b) a)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a b) a)) REDUCED to normal form. ------ 25144/1387596. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 25145/1387623. ------ 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))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> ((a (a (^x.x)))((^z.(z z))(^z.(z z)))) 6. ==[ alpha ]==> ((a (a (^x.x)))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 25146/1387650. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 25147/1387686. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(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. ------ 25148/1387713. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(a (a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 25149/1387767. ------ 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)(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(a (^x2.x2)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(a (^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(a (^x1.x1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.z))) 9. ==[ beta ]==> ((^y.y)(a (^z.z))) 10. ==[ alpha ]==> ((^x.x)(a (^y.y))) 11. ==[ beta ]==> (a (^y.y)) 12. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 25150/1387776. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.(^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. ------ 25151/1387821. ------ 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)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(a (a a)))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)(a (a a)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (a a)))) 7. ==[ beta ]==> (((^y.y) a)(a (a a))) 8. ==[ alpha ]==> (((^x.x) a)(a (a a))) 9. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 25152/1387848. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((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. ------ 25153/1387911. ------ 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. ------ 25154/1387938. ------ 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))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 11. ==[ beta ]==> (^y.(^z.z)) 12. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 25155/1387974. ------ 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))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.x))(((^z.z) a)((^z.z) a))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> (((a a)(^x.x))(a ((^z.z) a))) 8. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y) a))) 9. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 25156/1388001. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) a) REDUCED to normal form. ------ 25157/1388028. ------ 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.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x) 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. ------ 25158/1388055. ------ 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. ------ 25159/1388109. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.(^a.a))(^a.(^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. ------ 25160/1388199. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(b ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (a (b ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (a (b ((^x.x)(^y.y)))) 7. ==[ beta ]==> (a (b (^y.y))) 8. ==[ alpha ]==> (a (b (^x.x))) REDUCED to normal form. ------ 25161/1388235. ------ 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. ------ 25162/1388262. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y)) b)) 3. ==[ beta ]==> ((((a a) a) a)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 25163/1388280. ------ 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. ------ 25164/1388307. ------ 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.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. ------ 25165/1388361. ------ 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 ]==> ((((^y.y) a)((^y.y) a))((a a)((^z.z)(^x1.x1)))) 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 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. ------ 25166/1388397. ------ 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.z1))(^x2.x2))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.x2))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.z1))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.z1))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.y1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 25167/1388424. ------ 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. ------ 25168/1388460. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.a)((^y.y) a))) 3. ==[ beta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 25169/1388487. ------ 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.y1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 25170/1388514. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.x)((^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. ------ 25171/1388541. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (((a (a a)) a)(^y.y)) 6. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 25172/1388568. ------ 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 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))((^z.(^x1.x1))(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((a (^x.x))(^z.z)) 10. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 25173/1388595. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.a)(^y.a))) 3. ==[ beta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 25174/1388622. ------ 1. ==[ start ]==> ((a (a b))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 25175/1388631. ------ 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. ------ 25176/1388712. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z) a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) a)(a (^x1.x1)))) IRREDUCIBLE: cycle. ------ 25177/1388802. ------ 1. ==[ start ]==> (((a b) a)((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a b) a)((a (a a))(^x.x))) REDUCED to normal form. ------ 25178/1388829. ------ 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. ------ 25179/1388883. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.(z z)))) REDUCED to normal form. ------ 25180/1388910. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a (a a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a (a a)) a)) REDUCED to normal form. ------ 25181/1388937. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1) a) b)) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1) a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a) b)) 5. ==[ beta ]==> ((^y.a)(((^z.z) a) b)) 6. ==[ alpha ]==> ((^x.a)(((^y.y) a) b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 25182/1388982. ------ 1. ==[ start ]==> (((^a.b)(a a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 25183/1389009. ------ 1. ==[ start ]==> ((a (^b.(a a)))(a (a (a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(a (a (a a)))) REDUCED to normal form. ------ 25184/1389081. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(b (^x1.a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(b (^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(b (^z.a))) 5. ==[ beta ]==> ((a (^y.y))(b (^z.a))) 6. ==[ alpha ]==> ((a (^x.x))(b (^y.a))) REDUCED to normal form. ------ 25185/1389108. ------ 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. ------ 25186/1389135. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.a)(a a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.a)(a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a)(a a))) 5. ==[ beta ]==> (((^y.y) a)((^z.a)(a a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.a)(a a))) 7. ==[ beta ]==> (a ((^y.a)(a a))) 8. ==[ alpha ]==> (a ((^x.a)(a a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 25187/1389162. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.z))(a (^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. ------ 25188/1389180. ------ 1. ==[ start ]==> (((^a.b) b)((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.b) b)((a a)(^y.a))) 3. ==[ beta ]==> (b ((a a)(^y.a))) 4. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 25189/1389189. ------ 1. ==[ start ]==> (((a b)(a a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.x)((^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. ------ 25190/1389216. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.a)(^z.z))) 3. ==[ beta ]==> ((a (a a))((^y.a)(^z.z))) 4. ==[ alpha ]==> ((a (a a))((^x.a)(^y.y))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 25191/1389225. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(c (a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c (a a))) 3. ==[ beta ]==> ((^y.(a a))(c (a a))) 4. ==[ alpha ]==> ((^x.(a a))(c (a a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 25192/1389252. ------ 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. ------ 25193/1389306. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(a a))) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1))(a a))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(a a))) 7. ==[ beta ]==> ((a (^y.y))(a a)) 8. ==[ alpha ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 25194/1389387. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(b b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b b)) 3. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 25195/1389396. ------ 1. ==[ start ]==> (((a b) b)((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 25196/1389423. ------ 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)) REDUCED to normal form. ------ 25197/1389441. ------ 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. ------ 25198/1389450. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a a) b)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a a) b)) REDUCED to normal form. ------ 25199/1389468. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(a (a (^z.z)))) 3. ==[ beta ]==> ((^y.y)(a (a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)(a (a (^y.y)))) 5. ==[ beta ]==> (a (a (^y.y))) 6. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 25200/1389477. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 25201/1389522. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(b a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(b a)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(b a)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b a)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b a)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b a)) 7. ==[ beta ]==> (((^y.y)(^z.z))(b a)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(b a)) 9. ==[ beta ]==> ((^y.y)(b a)) 10. ==[ alpha ]==> ((^x.x)(b a)) 11. ==[ beta ]==> (b a) REDUCED to normal form. ------ 25202/1389531. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 25203/1389558. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a a) a)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a a) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a) a)) 5. ==[ beta ]==> ((^y.(y y))((a a) a)) 6. ==[ alpha ]==> ((^x.(x x))((a a) a)) 7. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 25204/1389585. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.a) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y) a)) 3. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 25205/1389603. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(a a)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(a a)) 3. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 25206/1389611. ------ 1. ==[ start ]==> (^a.((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (^x.((x b)(^y.(^z.z)))) REDUCED to normal form. ------ 25207/1389612. ------ 1. ==[ start ]==> (a ((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (a ((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 25208/1391892. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.((^z.(^x1.(x1 x1)))(^z.(^x1.(x1 x1))))) 4. ==[ alpha ]==> (^x.((^y.(^z.(z z)))(^x1.(^y1.(y1 y1))))) 5. ==[ beta ]==> (^x.(^z.(z z))) 6. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 25209/1392489. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a))) b) 2. ==[ alpha ]==> (((^x.b)(a (^y.y))) b) 3. ==[ beta ]==> (b b) REDUCED to normal form. ------ 25210/1392498. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a))) a) 2. ==[ alpha ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 25211/1392504. ------ 1. ==[ start ]==> ((^a.a)((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a b)(^y.(^z.z))) 4. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 25212/1392513. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 25213/1392531. ------ 1. ==[ start ]==> ((^a.(a a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.(x x))(((a a) a)(^y.a))) 3. ==[ beta ]==> ((((a a) a)(^y.a))(((a a) a)(^y.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(((a a) a)(^y.a))) REDUCED to normal form. ------ 25214/1392558. ------ 1. ==[ start ]==> ((^a.b)(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 25215/1392594. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 25216/1392639. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> (((a (^z.z))(^x1.b))(^y.y)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 25217/1392678. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (^y.((^z.z)(a a))) 6. ==[ alpha ]==> (^x.((^y.y)(a a))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 25218/1392756. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a)(^x1.a))) 3. ==[ beta ]==> (^y.((^z.a)(^x1.a))) 4. ==[ alpha ]==> (^x.((^y.a)(^z.a))) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 25219/1392903. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.((^z.z)(y y)))) 3. ==[ beta ]==> ((a a)(^y.((^z.z)(y y)))) 4. ==[ alpha ]==> ((a a)(^x.((^y.y)(x x)))) 5. ==[ beta ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 25220/1393110. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(^x1.(z z)))) 3. ==[ beta ]==> ((^y.(y y))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(y y)))) 5. ==[ beta ]==> ((^y.(^z.(y y)))(^y.(^z.(y y)))) 6. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(^x1.(z z)))) 7. ==[ beta ]==> (^y.((^z.(^x1.(z z)))(^z.(^x1.(z z))))) 8. ==[ alpha ]==> (^x.((^y.(^z.(y y)))(^x1.(^y1.(x1 x1))))) 9. ==[ beta ]==> (^x.(^z.((^x1.(^y1.(x1 x1)))(^x1.(^y1.(x1 x1)))))) 10. ==[ alpha ]==> (^x.(^y.((^z.(^x1.(z z)))(^y1.(^z1.(y1 y1)))))) 11. ==[ beta ]==> (^x.(^y.(^x1.((^y1.(^z1.(y1 y1)))(^y1.(^z1.(y1 y1))))))) 12. ==[ alpha ]==> (^x.(^y.(^z.((^x1.(^y1.(x1 x1)))(^z1.(^x2.(z1 z1))))))) 13. ==[ beta ]==> (^x.(^y.(^z.(^y1.((^z1.(^x2.(z1 z1)))(^z1.(^x2.(z1 z1)))))))) 14. ==[ alpha ]==> (^x.(^y.(^z.(^x1.((^y1.(^z1.(y1 y1)))(^x2.(^y2.(x2 x2)))))))) 15. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^z1.((^x2.(^y2.(x2 x2)))(^x2.(^y2.(x2 x2))))))))) 16. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.((^z1.(^x2.(z1 z1)))(^y2.(^z2.(y2 y2))))))))) 17. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^x2.((^y2.(^z2.(y2 y2)))(^y2.(^z2.(y2 y2)))))))))) 18. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.((^x2.(^y2.(x2 x2)))(^z2.(^x3.(z2 z2)))))))))) 19. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^y2.((^z2.(^x3.(z2 z2)))(^z2.(^x3.(z2 z2))))))))))) 20. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.((^y2.(^z2.(y2 y2)))(^x3.(^y3.(x3 x3))))))))))) 21. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^z2.((^x3.(^y3.(x3 x3)))(^x3.(^y3.(x3 x3)))))))))))) 22. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.((^z2.(^x3.(z2 z2)))(^y3.(^z3.(y3 y3)))))))))))) 23. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^x3.((^y3.(^z3.(y3 y3)))(^y3.(^z3.(y3 y3))))))))))))) 24. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.((^x3.(^y3.(x3 x3)))(^z3.(^x4.(z3 z3))))))))))))) 25. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^y3.((^z3.(^x4.(z3 z3)))(^z3.(^x4.(z3 z3)))))))))))))) 26. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.((^y3.(^z3.(y3 y3)))(^x4.(^y4.(x4 x4)))))))))))))) 27. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^z3.((^x4.(^y4.(x4 x4)))(^x4.(^y4.(x4 x4))))))))))))))) 28. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.((^z3.(^x4.(z3 z3)))(^y4.(^z4.(y4 y4))))))))))))))) 29. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^x4.((^y4.(^z4.(y4 y4)))(^y4.(^z4.(y4 y4)))))))))))))))) 30. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.((^x4.(^y4.(x4 x4)))(^z4.(^x5.(z4 z4)))))))))))))))) 31. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^y4.((^z4.(^x5.(z4 z4)))(^z4.(^x5.(z4 z4))))))))))))))))) 32. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^x4.((^y4.(^z4.(y4 y4)))(^x5.(^y5.(x5 x5))))))))))))))))) 33. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^x4.(^z4.((^x5.(^y5.(x5 x5)))(^x5.(^y5.(x5 x5)))))))))))))))))) 34. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^x4.(^y4.((^z4.(^x5.(z4 z4)))(^y5.(^z5.(y5 y5)))))))))))))))))) 35. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^x4.(^y4.(^x5.((^y5.(^z5.(y5 y5)))(^y5.(^z5.(y5 y5))))))))))))))))))) UNREDUCED: maximal number of reductions reached. ------ 25221/1393299. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(^y.(a y))) 3. ==[ eta ]==> (((^x.(x x))(a a)) a) 4. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 25222/1393323. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 25223/1393488. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 25224/1393659. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^c.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.((a a) a))) 3. ==[ beta ]==> ((a (^y.a))(^z.((a a) a))) 4. ==[ alpha ]==> ((a (^x.a))(^y.((a a) a))) REDUCED to normal form. ------ 25225/1393677. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.(^x1.b))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.b))) REDUCED to normal form. ------ 25226/1393881. ------ 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. ------ 25227/1394010. ------ 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. ------ 25228/1394145. ------ 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))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 25229/1394214. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 25230/1394550. ------ 1. ==[ start ]==> ((((a a) a) b)(^c.(a (a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(a (a a)))) REDUCED to normal form. ------ 25231/1394568. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 25232/1394676. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(^y.(a (a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.(a (a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(a (a a)))) REDUCED to normal form. ------ 25233/1394781. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.(((^z.z)(^x1.(x1 x1)))((^z.z)(^x1.(x1 x1))))) 4. ==[ alpha ]==> (^x.(((^y.y)(^z.(z z)))((^x1.x1)(^y1.(y1 y1))))) 5. ==[ beta ]==> (^x.((^z.(z z))((^x1.x1)(^y1.(y1 y1))))) 6. ==[ alpha ]==> (^x.((^y.(y y))((^z.z)(^x1.(x1 x1))))) 7. ==[ beta ]==> (^x.(((^z.z)(^x1.(x1 x1)))((^z.z)(^x1.(x1 x1))))) 8. ==[ alpha ]==> (^x.(((^y.y)(^z.(z z)))((^x1.x1)(^y1.(y1 y1))))) IRREDUCIBLE: cycle. ------ 25234/1394784. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 25235/1394964. ------ 1. ==[ start ]==> (((a b)(a a))(^c.(^b.a))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(^y.a))) REDUCED to normal form. ------ 25236/1394988. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z) a) a)) 3. ==[ beta ]==> ((^y.y)((((^z.z) a) a)(((^z.z) a) a))) 4. ==[ alpha ]==> ((^x.x)((((^y.y) a) a)(((^z.z) a) a))) 5. ==[ beta ]==> ((((^y.y) a) a)(((^z.z) a) a)) 6. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y) a) a)) 7. ==[ beta ]==> ((a a)(((^y.y) a) a)) 8. ==[ alpha ]==> ((a a)(((^x.x) a) a)) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 25237/1395243. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^b.(^a.(^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. ------ 25238/1395252. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 25239/1395297. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 10. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 11. ==[ beta ]==> (^y.(^z.(^x1.x1))) 12. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 25240/1395333. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^a.b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.b)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.b)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.b)) 5. ==[ beta ]==> ((^y.(y y))(^z.b)) 6. ==[ alpha ]==> ((^x.(x x))(^y.b)) 7. ==[ beta ]==> ((^y.b)(^y.b)) 8. ==[ alpha ]==> ((^x.b)(^y.b)) 9. ==[ beta ]==> b REDUCED to normal form. ------ 25241/1395360. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^a.(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(y y))) REDUCED to normal form. ------ 25242/1395378. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 25243/1395387. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^a.a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 25244/1395399. ------ 1. ==[ start ]==> ((a a)((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a a)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 25245/1395408. ------ 1. ==[ start ]==> ((a (^a.a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 25246/1395426. ------ 1. ==[ start ]==> ((a (a a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((a (a a))(((a a) a)(^x.a))) REDUCED to normal form. ------ 25247/1395453. ------ 1. ==[ start ]==> ((a b)(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a b)(((^x.x)(^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. ------ 25248/1395462. ------ 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)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 25249/1395489. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(((^x1.x1)(^y1.y1))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.x1))) 9. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 10. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 25250/1395534. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 25251/1395543. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 25252/1395570. ------ 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)((^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. ------ 25253/1395597. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.z))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 25254/1395624. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 25255/1395651. ------ 1. ==[ start ]==> ((a (^b.a))((^c.a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 25256/1395732. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((^y.a)((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((^x.a)((^y.a)(^z.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 25257/1395759. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(^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. ------ 25258/1395768. ------ 1. ==[ start ]==> (((a (^a.a)) b)(b (a b))) 2. ==[ alpha ]==> (((a (^x.x)) b)(b (a b))) REDUCED to normal form. ------ 25259/1395795. ------ 1. ==[ start ]==> ((((^a.a) a) a)(a ((^a.a)(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. ------ 25260/1395822. ------ 1. ==[ start ]==> (((a a)(^b.a))((a b)(a a))) 2. ==[ alpha ]==> (((a a)(^x.a))((a b)(a a))) REDUCED to normal form. ------ 25261/1395849. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a)(a (^x1.x1)))) REDUCED to normal form. ------ 25262/1395876. ------ 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.y1) a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z) a))) 7. ==[ beta ]==> ((a (^x.x))((^z.z) a)) 8. ==[ alpha ]==> ((a (^x.x))((^y.y) a)) 9. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 25263/1395984. ------ 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)(a b))) REDUCED to normal form. ------ 25264/1396002. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a (^z.(a a)))) 3. ==[ beta ]==> ((^y.(y y))(a (^z.(a a)))) 4. ==[ alpha ]==> ((^x.(x x))(a (^y.(a a)))) 5. ==[ beta ]==> ((a (^y.(a a)))(a (^y.(a a)))) 6. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.(a a)))) REDUCED to normal form. ------ 25265/1396029. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^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. ------ 25266/1396083. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 25267/1396110. ------ 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. ------ 25268/1396137. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^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. ------ 25269/1396191. ------ 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)(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. ------ 25270/1396218. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 25271/1396236. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((a a) a) b)) REDUCED to normal form. ------ 25272/1396353. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 25273/1396380. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 25274/1396443. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a (a a)) b)((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a)) b)((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (((a (a a)) b)(a (^y.y))) 6. ==[ alpha ]==> (((a (a a)) b)(a (^x.x))) REDUCED to normal form. ------ 25275/1396470. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a (a a))((^z.z) a))) 3. ==[ beta ]==> (((^y.y) a)((a (a a))((^z.z) a))) 4. ==[ alpha ]==> (((^x.x) a)((a (a a))((^y.y) a))) 5. ==[ beta ]==> (a ((a (a a))((^y.y) a))) 6. ==[ alpha ]==> (a ((a (a a))((^x.x) a))) 7. ==[ beta ]==> (a ((a (a a)) a)) REDUCED to normal form. ------ 25276/1396497. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 25277/1396524. ------ 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.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a (^z.z))(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 25278/1396551. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a a)((a a) a))) 3. ==[ beta ]==> ((a (^y.a))((a a)((a a) a))) 4. ==[ alpha ]==> ((a (^x.a))((a a)((a a) a))) REDUCED to normal form. ------ 25279/1396569. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(a (^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(a (^z.b))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(a (^z.b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.b))) REDUCED to normal form. ------ 25280/1396641. ------ 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))) 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. ------ 25281/1396668. ------ 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.(z z)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(a (^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(a (^y.(y y)))) REDUCED to normal form. ------ 25282/1396695. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)((a (^y.y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 25283/1396749. ------ 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. ------ 25284/1396776. ------ 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. ------ 25285/1396812. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.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. ------ 25286/1396866. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 25287/1396902. ------ 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. ------ 25288/1396929. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(^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. ------ 25289/1396983. ------ 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.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a ((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a ((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 25290/1397010. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 25291/1397028. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(b (^z.(^x1.x1)))) 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)))) 7. ==[ beta ]==> ((a a)(b (^y.(^z.z)))) 8. ==[ alpha ]==> ((a a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 25292/1397037. ------ 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)))) 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. ------ 25293/1397109. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.b))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.b))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 25294/1397127. ------ 1. ==[ start ]==> (((a a)((a a) a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a a)((a a) a))(((^x.x) a)(^y.a))) 3. ==[ beta ]==> (((a a)((a a) a))(a (^y.a))) 4. ==[ alpha ]==> (((a a)((a a) a))(a (^x.a))) REDUCED to normal form. ------ 25295/1397154. ------ 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.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 25296/1397181. ------ 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. ------ 25297/1397208. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y)(^z.z)) a)) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(^y.y)) a)) 5. ==[ beta ]==> (((a (a a)) a)((^y.y) a)) 6. ==[ alpha ]==> (((a (a a)) a)((^x.x) a)) 7. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 25298/1397235. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a (a a)) b)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (a a)) b)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (a a)) b)) 5. ==[ beta ]==> ((a (^y.y))((a (a a)) b)) 6. ==[ alpha ]==> ((a (^x.x))((a (a a)) b)) REDUCED to normal form. ------ 25299/1397280. ------ 1. ==[ start ]==> (((^a.b) a)(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 25300/1397298. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 25301/1397442. ------ 1. ==[ start ]==> ((((a a) a) b)((a a)(a (a a)))) REDUCED to normal form. ------ 25302/1397460. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 25303/1397487. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 25304/1397514. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((^y.a)(a (^z.z))) 6. ==[ alpha ]==> ((^x.a)(a (^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 25305/1397568. ------ 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. ------ 25306/1397649. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (b ((^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. ------ 25307/1397658. ------ 1. ==[ start ]==> (((a b)(^a.a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.x))(b ((^y.y) a))) 3. ==[ beta ]==> (((a b)(^x.x))(b a)) REDUCED to normal form. ------ 25308/1397676. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.(z z))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(y y))) REDUCED to normal form. ------ 25309/1397694. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a a)(a b))((^x.(x x)) a)) 3. ==[ beta ]==> (((a a)(a b))(a a)) REDUCED to normal form. ------ 25310/1397721. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.a) b)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.a) b)) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) a) REDUCED to normal form. ------ 25311/1397802. ------ 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) a)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z) a)(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(^z.z))) 7. ==[ beta ]==> (a (((^y.y) a)(^z.z))) 8. ==[ alpha ]==> (a (((^x.x) a)(^y.y))) 9. ==[ beta ]==> (a (a (^y.y))) 10. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 25312/1397829. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 25313/1397847. ------ 1. ==[ start ]==> (((^a.b) b)(b c)) 2. ==[ alpha ]==> (((^x.b) b)(b c)) 3. ==[ beta ]==> (b (b c)) REDUCED to normal form. ------ 25314/1397856. ------ 1. ==[ start ]==> (((a b)(a a))((a a)(^b.a))) 2. ==[ alpha ]==> (((a b)(a a))((a a)(^x.a))) REDUCED to normal form. ------ 25315/1397883. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) a) a)) 3. ==[ beta ]==> ((a (a a))(((^y.y) a) a)) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a) a)) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 25316/1397892. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((^y.(a a))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.(a a))((^y.a)(^z.z))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 25317/1397919. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(^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. ------ 25318/1397973. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(c (^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(c (^x1.x1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(c (^x1.x1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c (^y1.y1))) 5. ==[ beta ]==> ((^y.y)(c (^y1.y1))) 6. ==[ alpha ]==> ((^x.x)(c (^y.y))) 7. ==[ beta ]==> (c (^y.y)) 8. ==[ alpha ]==> (c (^x.x)) REDUCED to normal form. ------ 25319/1398054. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 25320/1398063. ------ 1. ==[ start ]==> (((a b) b)(b b)) REDUCED to normal form. ------ 25321/1398108. ------ 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))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 25322/1398117. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(b (a a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(b (a a))) REDUCED to normal form. ------ 25323/1398135. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 25324/1398144. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(a (a (^z.z)))) REDUCED to normal form. ------ 25325/1398189. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(a (^y1.(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(a (^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a (^x1.(^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(a (^x1.(^y1.y1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.(^x1.x1)))) 9. ==[ beta ]==> ((^y.y)(a (^z.(^x1.x1)))) 10. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 11. ==[ beta ]==> (a (^y.(^z.z))) 12. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 25326/1398198. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(b a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b a)) REDUCED to normal form. ------ 25327/1398225. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(a b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^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. ------ 25328/1398252. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(a (a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(a (a a))) REDUCED to normal form. ------ 25329/1398270. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(a (^z.z))) 3. ==[ beta ]==> (b (a (^z.z))) 4. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 25330/1398279. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(a a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 25331/1400568. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^c.d)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.d)) 3. ==[ beta ]==> (^y.((^z.d)(^z.d))) 4. ==[ alpha ]==> (^x.((^y.d)(^z.d))) 5. ==[ beta ]==> (^x.d) REDUCED to normal form. ------ 25332/1401165. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a))) c) 2. ==[ alpha ]==> (((^x.b)(a (^y.y))) c) 3. ==[ beta ]==> (b c) REDUCED to normal form. ------ 25333/1401174. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a))) b) 2. ==[ alpha ]==> (((a b)(^x.(^y.y))) b) REDUCED to normal form. ------ 25334/1401198. ------ 1. ==[ start ]==> ((^a.(^a.a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 25335/1401279. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 25336/1401372. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^y.(a a))) REDUCED to normal form. ------ 25337/1401441. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a) a) c)) 2. ==[ alpha ]==> ((^x.(^y.x))(((a a) a) c)) 3. ==[ beta ]==> (^y.(((a a) a) c)) 4. ==[ alpha ]==> (^x.(((a a) a) c)) REDUCED to normal form. ------ 25338/1401588. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^b.(^b.(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. ------ 25339/1401783. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a a)(a b))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a a)(a b))) 3. ==[ beta ]==> (((a a)(a b))(((a a)(a b))((a a)(a b)))) REDUCED to normal form. ------ 25340/1401993. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^b.(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(a y))) 3. ==[ eta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 25341/1402008. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a b) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 25342/1402371. ------ 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. ------ 25343/1402695. ------ 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. ------ 25344/1402899. ------ 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. ------ 25345/1403079. ------ 1. ==[ start ]==> ((^a.(a b))(c ((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x b))(c ((^y.y) a))) 3. ==[ beta ]==> ((c ((^y.y) a)) b) 4. ==[ alpha ]==> ((c ((^x.x) a)) b) 5. ==[ beta ]==> ((c a) b) REDUCED to normal form. ------ 25346/1403262. ------ 1. ==[ start ]==> (((a b) a)(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 25347/1403370. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(a (a a)))) REDUCED to normal form. ------ 25348/1403469. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^c.d)) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.d)) REDUCED to normal form. ------ 25349/1403487. ------ 1. ==[ start ]==> (((a a)(a b))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(x (x x)))) REDUCED to normal form. ------ 25350/1403883. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.(a (^z.z)))) 3. ==[ beta ]==> (((a a) a)(^y.(a (^z.z)))) 4. ==[ alpha ]==> (((a a) a)(^x.(a (^y.y)))) REDUCED to normal form. ------ 25351/1403928. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^c.b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.b)) 3. ==[ beta ]==> ((^y.y)(^z.b)) 4. ==[ alpha ]==> ((^x.x)(^y.b)) 5. ==[ beta ]==> (^y.b) 6. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 25352/1403937. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 25353/1403982. ------ 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)(^z.z))((^y.y)(^z.z)))(^x1.x1)) 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. ------ 25354/1403991. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 25355/1404018. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^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. ------ 25356/1404045. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^b.(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 25357/1404063. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^b.a)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.a)) 3. ==[ beta ]==> (b (^z.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 25358/1404072. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 25359/1404102. ------ 1. ==[ start ]==> ((a (^a.a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 25360/1404111. ------ 1. ==[ start ]==> (((^a.a) a)((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (a ((^y.b)(a (^z.z)))) 4. ==[ alpha ]==> (a ((^x.b)(a (^y.y)))) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 25361/1404129. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((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. ------ 25362/1404156. ------ 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)))) 7. ==[ beta ]==> ((a a)(^y.(y y))) 8. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 25363/1404165. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 25364/1404183. ------ 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. ------ 25365/1404192. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (((^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. ------ 25366/1404219. ------ 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)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 25367/1404237. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 25368/1404246. ------ 1. ==[ start ]==> (((a a) b)((^a.(^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. ------ 25369/1404264. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((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. ------ 25370/1404273. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^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. ------ 25371/1404291. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(a a)) a)) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a)) a)) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a)) a)) 5. ==[ beta ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 25372/1404300. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 25373/1404318. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a b) b)) 3. ==[ beta ]==> ((^y.y)((a b) b)) 4. ==[ alpha ]==> ((^x.x)((a b) b)) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 25374/1404327. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 25375/1404345. ------ 1. ==[ start ]==> ((a (^b.a))(((a a) a) c)) 2. ==[ alpha ]==> ((a (^x.a))(((a a) a) c)) REDUCED to normal form. ------ 25376/1404381. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.(^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. ------ 25377/1404462. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 25378/1404489. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.y)(^z.(a a)))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.(a a)))) 5. ==[ beta ]==> ((a a)(^y.(a a))) 6. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 25379/1404507. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(a a)) a)) 3. ==[ beta ]==> (((^y.y) a)((^z.(a a)) a)) 4. ==[ alpha ]==> (((^x.x) a)((^y.(a a)) a)) 5. ==[ beta ]==> (a ((^y.(a a)) a)) 6. ==[ alpha ]==> (a ((^x.(a a)) a)) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 25380/1404534. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 25381/1404606. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a (a a))(a (a a)))) 3. ==[ beta ]==> (((a a) a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 25382/1404633. ------ 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) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.z))) REDUCED to normal form. ------ 25383/1404660. ------ 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. ------ 25384/1404678. ------ 1. ==[ start ]==> (((^a.(a a)) a)(b (^a.b))) 2. ==[ alpha ]==> (((^x.(x x)) a)(b (^y.b))) 3. ==[ beta ]==> ((a a)(b (^y.b))) 4. ==[ alpha ]==> ((a a)(b (^x.b))) REDUCED to normal form. ------ 25385/1404687. ------ 1. ==[ start ]==> ((a (a (a a)))((a a)(a b))) REDUCED to normal form. ------ 25386/1404723. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((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. ------ 25387/1404759. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((a b)((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> ((a b)((^x.a)(a (^y.y)))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 25388/1404777. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.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. ------ 25389/1404786. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a (a a)) a)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 25390/1404804. ------ 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. ------ 25391/1404813. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 25392/1404831. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^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. ------ 25393/1404840. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 25394/1404867. ------ 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. ------ 25395/1404885. ------ 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 a)(^y.b))) 4. ==[ alpha ]==> (((a a)(a a))((a a)(^x.b))) REDUCED to normal form. ------ 25396/1404894. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.a)(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(a b))) 3. ==[ beta ]==> (((a (a a))(^x.x))(a b)) REDUCED to normal form. ------ 25397/1404912. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a b) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a b) a)) REDUCED to normal form. ------ 25398/1405002. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((b b)((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> ((b b)((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> ((b b)((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> ((b b)((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 25399/1405245. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(b (^z.a))) 3. ==[ beta ]==> ((a (^y.a))(b (^z.a))) 4. ==[ alpha ]==> ((a (^x.a))(b (^y.a))) REDUCED to normal form. ------ 25400/1405272. ------ 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. ------ 25401/1405506. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((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. ------ 25402/1405596. ------ 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. ------ 25403/1405641. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.(^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)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 25404/1405731. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 25405/1405785. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 25406/1405803. ------ 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. ------ 25407/1405974. ------ 1. ==[ start ]==> (((^a.b) a)((^b.a)(^b.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. ------ 25408/1405983. ------ 1. ==[ start ]==> ((a (a b))(c ((^a.a) a))) 2. ==[ alpha ]==> ((a (a b))(c ((^x.x) a))) 3. ==[ beta ]==> ((a (a b))(c a)) REDUCED to normal form. ------ 25409/1406073. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z)) b)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(z z)) b)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z)) b)) IRREDUCIBLE: cycle. ------ 25410/1406136. ------ 1. ==[ start ]==> ((((a a) a) b)(b (^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(b (^x.(x x)))) REDUCED to normal form. ------ 25411/1406163. ------ 1. ==[ start ]==> (((a b) a)(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 25412/1406181. ------ 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. ------ 25413/1406190. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(y y))(a a))) 3. ==[ beta ]==> (((a a)(^x.b))((a a)(a a))) REDUCED to normal form. ------ 25414/1406208. ------ 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. ------ 25415/1406244. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(^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. ------ 25416/1406262. ------ 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 y)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a a)(^y.(y y)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a a)(^x.(x x)))) REDUCED to normal form. ------ 25417/1406271. ------ 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. ------ 25418/1406298. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(x1 x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))(^x1.x1))) 5. ==[ beta ]==> ((^y.a)((^z.(z z))(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)((^y.(y y))(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 25419/1406325. ------ 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)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 25420/1406343. ------ 1. ==[ start ]==> (((^a.b)(a a))((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(a a))((a (^y.y)) c)) 3. ==[ beta ]==> (b ((a (^y.y)) c)) 4. ==[ alpha ]==> (b ((a (^x.x)) c)) REDUCED to normal form. ------ 25421/1406352. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(^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. ------ 25422/1406388. ------ 1. ==[ start ]==> (((a a)(a b))(a (a (a a)))) REDUCED to normal form. ------ 25423/1406415. ------ 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 (^x.x))((a a) a))(a (a a))) REDUCED to normal form. ------ 25424/1406442. ------ 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 (^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 25425/1406469. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((a a)((^x.x) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a a) a)) REDUCED to normal form. ------ 25426/1406541. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(^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. ------ 25427/1406550. ------ 1. ==[ start ]==> (((a b)(a a))(b c)) REDUCED to normal form. ------ 25428/1406586. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z) a) a)) 3. ==[ beta ]==> ((^y.(a a))(((^z.z) a) a)) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y) a) a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 25429/1406613. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((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. ------ 25430/1406667. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a) a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a) a)) 5. ==[ beta ]==> ((^y.y)((^y1.a) a)) 6. ==[ alpha ]==> ((^x.x)((^y.a) a)) 7. ==[ beta ]==> ((^y.a) a) 8. ==[ alpha ]==> ((^x.a) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 25431/1406748. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (b ((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 25432/1406757. ------ 1. ==[ start ]==> (((a b) b)((^a.(^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. ------ 25433/1406784. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a a) a)((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (((a a) a)(a (^y.y))) 6. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 25434/1406802. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (^z.z)) a)) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.z)) a)) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y)) a)) 5. ==[ beta ]==> ((a a)((a (^y.y)) a)) 6. ==[ alpha ]==> ((a a)((a (^x.x)) a)) REDUCED to normal form. ------ 25435/1406811. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 25436/1406829. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a 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. ------ 25437/1406838. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.x1))) REDUCED to normal form. ------ 25438/1406883. ------ 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)(^z.z))((^y.y)(^z.z)))((^x1.x1) b)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.y1) b)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1) b)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1) b)) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1) b)) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) b)) 9. ==[ beta ]==> ((^y.y)((^z.z) b)) 10. ==[ alpha ]==> ((^x.x)((^y.y) b)) 11. ==[ beta ]==> ((^y.y) b) 12. ==[ alpha ]==> ((^x.x) b) 13. ==[ beta ]==> b REDUCED to normal form. ------ 25439/1406892. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 25440/1406919. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.x1)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.x1)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(a a))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(a a))) 7. ==[ beta ]==> (((^y.y)(a a))((^y.y)(a a))) 8. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a a))) 9. ==[ beta ]==> ((a a)((^y.y)(a a))) 10. ==[ alpha ]==> ((a a)((^x.x)(a a))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 25441/1406946. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 25442/1406964. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.a) a)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.z) a)) 3. ==[ beta ]==> (b ((^z.z) a)) 4. ==[ alpha ]==> (b ((^x.x) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 25443/1406973. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 25444/1406990. ------ 1. ==[ start ]==> (^a.((^b.(a a))(a a))) 2. ==[ alpha ]==> (^x.((^y.(x x))(x x))) 3. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 25445/1406991. ------ 1. ==[ start ]==> (a ((^b.(a a))(a a))) 2. ==[ alpha ]==> (a ((^x.(a a))(a a))) 3. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 25446/1409478. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((^z.((^x1.x1) a))(^z.((^x1.x1) 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) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 25447/1409877. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a))) c) 2. ==[ alpha ]==> (((a b)(^x.(^y.y))) c) REDUCED to normal form. ------ 25448/1409901. ------ 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)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 25449/1409928. ------ 1. ==[ start ]==> ((^a.(a a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (((^y.b)(a (^z.z)))((^y.b)(a (^z.z)))) 4. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^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. ------ 25450/1409955. ------ 1. ==[ start ]==> ((^a.b)((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.b)((^y.a)((^z.z) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 25451/1410036. ------ 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 (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 25452/1410225. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ eta ]==> ((^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. ------ 25453/1410318. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (((^y.y) a)(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.((^z.z)(y y)))) 5. ==[ beta ]==> (a (^y.((^z.z)(y y)))) 6. ==[ alpha ]==> (a (^x.((^y.y)(x x)))) 7. ==[ beta ]==> (a (^x.(x x))) REDUCED to normal form. ------ 25454/1410396. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 25455/1410495. ------ 1. ==[ start ]==> ((^a.(a (a a)))(b (^a.b))) 2. ==[ alpha ]==> ((^x.(x (x x)))(b (^y.b))) 3. ==[ beta ]==> ((b (^y.b))((b (^y.b))(b (^y.b)))) 4. ==[ alpha ]==> ((b (^x.b))((b (^y.b))(b (^z.b)))) REDUCED to normal form. ------ 25456/1410846. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^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. ------ 25457/1411254. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.((a a) a))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.((a a) a))) 5. ==[ beta ]==> ((a a)(^y.((a a) a))) 6. ==[ alpha ]==> ((a a)(^x.((a a) a))) REDUCED to normal form. ------ 25458/1411713. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) a)(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (a a)) a)(^x.(^z.z))) 6. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.y))) REDUCED to normal form. ------ 25459/1411791. ------ 1. ==[ start ]==> ((^a.(a b))((^b.a)(^b.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. ------ 25460/1411965. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^c.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(a (a a)))) 3. ==[ beta ]==> (b (^z.(a (a a)))) 4. ==[ alpha ]==> (b (^x.(a (a a)))) REDUCED to normal form. ------ 25461/1412178. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(b ((^z.z) a))) 3. ==[ beta ]==> (^y.((b ((^z.z) a))(b ((^z.z) a)))) 4. ==[ alpha ]==> (^x.((b ((^y.y) a))(b ((^z.z) a)))) 5. ==[ beta ]==> (^x.((b a)(b ((^z.z) a)))) 6. ==[ alpha ]==> (^x.((b a)(b ((^y.y) a)))) 7. ==[ beta ]==> (^x.((b a)(b a))) REDUCED to normal form. ------ 25462/1412199. ------ 1. ==[ start ]==> (((a a)(a b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(^y.(y y)))) REDUCED to normal form. ------ 25463/1412307. ------ 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 y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(z z)))) 7. ==[ beta ]==> (a (^y.(^z.(z z)))) 8. ==[ alpha ]==> (a (^x.(^y.(y y)))) REDUCED to normal form. ------ 25464/1412385. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)((^x1.x1) a))((^z.z)((^x1.x1) a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)((^z.z) a))((^x1.x1)((^y1.y1) a)))) 5. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.x1)((^y1.y1) a))) 6. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)((^x1.x1) a))) 7. ==[ beta ]==> (((^y.y) a)((^z.z)((^x1.x1) a))) 8. ==[ alpha ]==> (((^x.x) a)((^y.y)((^z.z) a))) 9. ==[ beta ]==> (a ((^y.y)((^z.z) a))) 10. ==[ alpha ]==> (a ((^x.x)((^y.y) a))) 11. ==[ beta ]==> (a ((^y.y) a)) 12. ==[ alpha ]==> (a ((^x.x) a)) 13. ==[ beta ]==> (a a) REDUCED to normal form. ------ 25465/1412388. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.((^z.z) a))) 3. ==[ beta ]==> ((a (a a))(^y.((^z.z) a))) 4. ==[ alpha ]==> ((a (a a))(^x.((^y.y) a))) 5. ==[ beta ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 25466/1412478. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^a.((^a.a) a))) 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. ------ 25467/1412649. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^c.b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.b)) REDUCED to normal form. ------ 25468/1412703. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^b.b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 25469/1412757. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^c.a)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.a)) REDUCED to normal form. ------ 25470/1412775. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(z z))) 3. ==[ beta ]==> (b (^z.(z z))) 4. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 25471/1412784. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^b.a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 25472/1412814. ------ 1. ==[ start ]==> ((a a)((^b.(a a))(a a))) 2. ==[ alpha ]==> ((a a)((^x.(a a))(a a))) 3. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 25473/1412832. ------ 1. ==[ start ]==> (((^a.a) a)((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((a b)(^y.(^z.z)))) 3. ==[ beta ]==> (a ((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> (a ((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 25474/1412841. ------ 1. ==[ start ]==> ((a (a a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (a a))((^x.b)(a (^y.y)))) 3. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 25475/1412859. ------ 1. ==[ start ]==> (((a a) a)(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a a) a)(((a a) a)(^x.a))) REDUCED to normal form. ------ 25476/1412868. ------ 1. ==[ start ]==> ((a b)((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((a b)((^x.a)((^y.y) a))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 25477/1412886. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.(z z))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 25478/1412913. ------ 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. ------ 25479/1412922. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(x x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))((^y.y)(^z.z)))) 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. ------ 25480/1412949. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.a)((a a) a))) 3. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 25481/1412967. ------ 1. ==[ start ]==> (((a a) b)((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a) b)((a (^x.x))(^y.b))) REDUCED to normal form. ------ 25482/1412994. ------ 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. ------ 25483/1413021. ------ 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. ------ 25484/1413048. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a b) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b) b)) REDUCED to normal form. ------ 25485/1413111. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 25486/1413138. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^y.(^z.z)))) 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. ------ 25487/1413228. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.y) a)(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)(a ((^y.y)(a a)))) 5. ==[ beta ]==> (a (a ((^y.y)(a a)))) 6. ==[ alpha ]==> (a (a ((^x.x)(a a)))) 7. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 25488/1413237. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(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. ------ 25489/1413255. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 25490/1413264. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.b) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 25491/1413309. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.(x x)))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(x x)))((^z.z) a)) 6. ==[ alpha ]==> ((a (^x.(x x)))((^y.y) a)) 7. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 25492/1413408. ------ 1. ==[ start ]==> ((a (a (a a)))(b (^a.b))) 2. ==[ alpha ]==> ((a (a (a a)))(b (^x.b))) REDUCED to normal form. ------ 25493/1413417. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a a)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a)(a b))) 3. ==[ beta ]==> ((^y.(y y))((a a)(a b))) 4. ==[ alpha ]==> ((^x.(x x))((a a)(a b))) 5. ==[ beta ]==> (((a a)(a b))((a a)(a b))) REDUCED to normal form. ------ 25494/1413480. ------ 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. ------ 25495/1413507. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(^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. ------ 25496/1413534. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 25497/1413561. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z) a)(^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. ------ 25498/1413615. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a a)(^y.b))) REDUCED to normal form. ------ 25499/1413651. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.b)(^y.y))) 3. ==[ beta ]==> (((a a)(a (a a))) b) REDUCED to normal form. ------ 25500/1413705. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.(^a.a))(^b.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. ------ 25501/1413732. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(x x))(^y.(y y)))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(y y))(^y.(y y)))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 25502/1413759. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 25503/1413768. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(c ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(c ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 25504/1413795. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 25505/1413849. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a) a)(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a) a)(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)(a a))) 5. ==[ beta ]==> ((^y.y)(((a a) a)(a a))) 6. ==[ alpha ]==> ((^x.x)(((a a) a)(a a))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 25506/1413858. ------ 1. ==[ start ]==> (((a (a a)) b)((^c.a) b)) 2. ==[ alpha ]==> (((a (a a)) b)((^x.a) b)) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 25507/1413885. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) 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)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 25508/1413903. ------ 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. ------ 25509/1413930. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (a a)))) 5. ==[ beta ]==> (((^y.y) a)(a (a a))) 6. ==[ alpha ]==> (((^x.x) a)(a (a a))) 7. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 25510/1413984. ------ 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 (^y.y))(a (^y.y)))((a a)((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)((a a) a))) REDUCED to normal form. ------ 25511/1414020. ------ 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. ------ 25512/1414056. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 25513/1414083. ------ 1. ==[ start ]==> (((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))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(a (a a)))(a ((^z.z) a))) 6. ==[ alpha ]==> (((a (^x.x))(a (a a)))(a ((^y.y) a))) 7. ==[ beta ]==> (((a (^x.x))(a (a a)))(a a)) REDUCED to normal form. ------ 25514/1414110. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.a)(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(a (a a)))) 5. ==[ beta ]==> ((a a)((^y.a)(a (a a)))) 6. ==[ alpha ]==> ((a a)((^x.a)(a (a a)))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 25515/1414137. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 25516/1414164. ------ 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))) 7. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 25517/1414281. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(c (a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(c (a (a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(c (a (a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(c (a (a a)))) 5. ==[ beta ]==> (a (c (a (a a)))) REDUCED to normal form. ------ 25518/1414362. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^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. ------ 25519/1414389. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a (a a))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a (^y.y)))) 5. ==[ beta ]==> ((a (a a))(a (^y.y))) 6. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 25520/1414398. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(a a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(x1 x1)) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(c c)) REDUCED to normal form. ------ 25521/1414443. ------ 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)((^y.y) a))((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.z))(a (a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))((a (^z.z))(a (a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))(a (a a)))) 7. ==[ beta ]==> ((a a)((a (^y.y))(a (a a)))) 8. ==[ alpha ]==> ((a a)((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 25522/1414506. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(^z.z))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 25523/1414542. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(x x))(a (^y.y)))) 3. ==[ beta ]==> (((a a)((a a) a))((a (^y.y))(a (^y.y)))) 4. ==[ alpha ]==> (((a a)((a a) a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 25524/1414569. ------ 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.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 25525/1414596. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> ((a (a (a a)))(^y.y)) 6. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 25526/1414623. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.x)((^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. ------ 25527/1414650. ------ 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.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.x1))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 25528/1414677. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 25529/1414695. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.b) 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. ------ 25530/1414704. ------ 1. ==[ start ]==> ((a (a b))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((a (a b))((^x.a)(^y.a))) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 25531/1414713. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(c ((^z.z) a))) 3. ==[ beta ]==> ((^y.b)(c ((^z.z) a))) 4. ==[ alpha ]==> ((^x.b)(c ((^y.y) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 25532/1414794. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (a a))(a a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (a a))(a a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (a a))(a a))) IRREDUCIBLE: cycle. ------ 25533/1414875. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a a)(a (a a)))) 3. ==[ beta ]==> (b ((a a)(a (a a)))) REDUCED to normal form. ------ 25534/1414911. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (a a))(^y.y))) REDUCED to normal form. ------ 25535/1414965. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 25536/1414992. ------ 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 y)))) REDUCED to normal form. ------ 25537/1415019. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a (a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a (a a)) a)) 3. ==[ beta ]==> (((^y.y)(^z.a))((a (a a)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a (a a)) a)) 5. ==[ beta ]==> ((^y.a)((a (a a)) a)) 6. ==[ alpha ]==> ((^x.a)((a (a a)) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 25538/1415046. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^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. ------ 25539/1415064. ------ 1. ==[ start ]==> (((^a.b)(a a))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(c (a (^y.y)))) 3. ==[ beta ]==> (b (c (a (^y.y)))) 4. ==[ alpha ]==> (b (c (a (^x.x)))) REDUCED to normal form. ------ 25540/1415073. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (^a.a)) c)) 2. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y)) c)) REDUCED to normal form. ------ 25541/1415091. ------ 1. ==[ start ]==> ((a (^b.(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(b ((^y.y) a))) 3. ==[ beta ]==> ((a (^x.(a a)))(b a)) REDUCED to normal form. ------ 25542/1415109. ------ 1. ==[ start ]==> (((a a)(a b))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.x)(^y.(y y)))) 3. ==[ beta ]==> (((a a)(a b))(^y.(y y))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(x x))) REDUCED to normal form. ------ 25543/1415190. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(b (^b.a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(b (^x.a))) REDUCED to normal form. ------ 25544/1415217. ------ 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. ------ 25545/1415244. ------ 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) REDUCED to normal form. ------ 25546/1415262. ------ 1. ==[ start ]==> (((^a.b) b)((a (^a.a))(^a.(^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. ------ 25547/1415271. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(^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. ------ 25548/1415298. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((a (a a))((^y.y)((^z.z) a))) 4. ==[ alpha ]==> ((a (a a))((^x.x)((^y.y) a))) 5. ==[ beta ]==> ((a (a a))((^y.y) a)) 6. ==[ alpha ]==> ((a (a a))((^x.x) a)) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 25549/1415334. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(c (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(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. ------ 25550/1415388. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a ((^x1.x1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a ((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a ((^y1.y1) a))) 5. ==[ beta ]==> ((^y.y)(a ((^y1.y1) 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. ------ 25551/1415469. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(c a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c a)) 3. ==[ beta ]==> (b (c a)) REDUCED to normal form. ------ 25552/1415478. ------ 1. ==[ start ]==> (((a b) b)((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b) b)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 25553/1415505. ------ 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. ------ 25554/1415532. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (^y.y)) a)) REDUCED to normal form. ------ 25555/1415550. ------ 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. ------ 25556/1415559. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a a) b)) REDUCED to normal form. ------ 25557/1415604. ------ 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 ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((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. ------ 25558/1415613. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z) b)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) b) REDUCED to normal form. ------ 25559/1415640. ------ 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 ]==> (((^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. ------ 25560/1415667. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a a) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a a) a)) REDUCED to normal form. ------ 25561/1415685. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(a (a a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(a (a a))) 3. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 25562/1415694. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z) a)) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 25563/1415720. ------ 1. ==[ start ]==> (^a.(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (^x.(((^y.y)(x x))(^z.z))) 3. ==[ beta ]==> (^x.((x x)(^z.z))) 4. ==[ alpha ]==> (^x.((x x)(^y.y))) REDUCED to normal form. ------ 25564/1415721. ------ 1. ==[ start ]==> (a (((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (a (((^x.x)(a a))(^y.y))) 3. ==[ beta ]==> (a ((a a)(^y.y))) 4. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 25565/1416543. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(a x1))) 3. ==[ eta ]==> ((^x.(^y.(^z.z))) a) 4. ==[ beta ]==> (^y.(^z.z)) 5. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 25566/1418634. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a)) a) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y)) a) 3. ==[ beta ]==> (((a a)(^y.y)) a) 4. ==[ alpha ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 25567/1418640. ------ 1. ==[ start ]==> ((^a.a)(((^a.a)(a a))(^a.a))) 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. ------ 25568/1418649. ------ 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. ------ 25569/1418667. ------ 1. ==[ start ]==> ((^a.(a a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(^y.(^z.z)))((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 25570/1418694. ------ 1. ==[ start ]==> ((^a.b)(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.b)(((a a) a)(^y.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 25571/1418730. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 25572/1418841. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.y))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 25573/1418892. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (^x.((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 25574/1419057. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^b.(^b.(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. ------ 25575/1419066. ------ 1. ==[ start ]==> (((a a)(^b.a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (((a a)(^x.a))(^y.(y y))) REDUCED to normal form. ------ 25576/1419273. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^a.(^b.(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. ------ 25577/1419459. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(a b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 25578/1419462. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a z))) 3. ==[ eta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 25579/1420017. ------ 1. ==[ start ]==> ((^a.((a a) a))(((a a) a) a)) 2. ==[ alpha ]==> ((^x.((x x) x))(((a a) a) a)) 3. ==[ beta ]==> (((((a a) a) a)(((a a) a) a))(((a a) a) a)) REDUCED to normal form. ------ 25580/1420173. ------ 1. ==[ start ]==> ((((a a) a) a)(^a.((a a) a))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.((x x) x))) REDUCED to normal form. ------ 25581/1420350. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 25582/1420530. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a) a) c)) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y) a) c)) 3. ==[ beta ]==> ((((^y.y) a) c) b) 4. ==[ alpha ]==> ((((^x.x) a) c) b) 5. ==[ beta ]==> ((a c) b) REDUCED to normal form. ------ 25583/1420713. ------ 1. ==[ start ]==> (((a b) a)(^c.(a (a a)))) 2. ==[ alpha ]==> (((a b) a)(^x.(a (a a)))) REDUCED to normal form. ------ 25584/1420731. ------ 1. ==[ start ]==> (((^a.a)(a b))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 25585/1420917. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(^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. ------ 25586/1420938. ------ 1. ==[ start ]==> (((a a)(a b))(^c.d)) 2. ==[ alpha ]==> (((a a)(a b))(^x.d)) REDUCED to normal form. ------ 25587/1421124. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a a)(^z.a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.a))((a a)(^z.a)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.a))((a a)(^z.a)))) 5. ==[ beta ]==> (((a a)(^y.a))((a a)(^z.a))) 6. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.a))) REDUCED to normal form. ------ 25588/1421136. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(a a))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(a a))(^y.((^z.z) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 25589/1421217. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^b.(^b.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. ------ 25590/1421298. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> (b (^x1.(^y1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 25591/1421352. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(a (^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(a (^z.z)))) 6. ==[ alpha ]==> ((a a)(^x.(a (^y.y)))) REDUCED to normal form. ------ 25592/1421361. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^a.c)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.c)) REDUCED to normal form. ------ 25593/1421442. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^c.(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 25594/1421496. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^a.b)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.b)) REDUCED to normal form. ------ 25595/1421514. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 25596/1421523. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 25597/1421550. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^a.a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.z)) 3. ==[ beta ]==> (((a a)(^y.y))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 25598/1421562. ------ 1. ==[ start ]==> ((a a)(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((a a)(((^x.x)(a a))(^y.y))) 3. ==[ beta ]==> ((a a)((a a)(^y.y))) 4. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 25599/1421571. ------ 1. ==[ start ]==> ((a (^a.a))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(a a))) 3. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 25600/1421589. ------ 1. ==[ start ]==> ((a (a a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 25601/1421598. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)(a (^x1.x1)))) 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. ------ 25602/1421616. ------ 1. ==[ start ]==> ((a b)(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((a b)(((a a) a)(^x.a))) REDUCED to normal form. ------ 25603/1421652. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.(^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. ------ 25604/1421670. ------ 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. ------ 25605/1421706. ------ 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. ------ 25606/1421733. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((^y.(^z.z))(a b)) 6. ==[ alpha ]==> ((^x.(^y.y))(a b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 25607/1421760. ------ 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 (^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. ------ 25608/1421787. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.z))) 5. ==[ beta ]==> ((^y.(a a))(^z.z)) 6. ==[ alpha ]==> ((^x.(a a))(^y.y)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 25609/1421814. ------ 1. ==[ start ]==> ((a (^b.a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 25610/1421895. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 25611/1421922. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.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. ------ 25612/1421931. ------ 1. ==[ start ]==> (((a (^a.a)) b)(c ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(c ((a a) a))) REDUCED to normal form. ------ 25613/1421958. ------ 1. ==[ start ]==> ((((^a.a) a) a)(b (a b))) 2. ==[ alpha ]==> ((((^x.x) a) a)(b (a b))) 3. ==[ beta ]==> ((a a)(b (a b))) REDUCED to normal form. ------ 25614/1421976. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.(a a)))) 5. ==[ beta ]==> (a ((^y.y)(^z.(a a)))) 6. ==[ alpha ]==> (a ((^x.x)(^y.(a a)))) 7. ==[ beta ]==> (a (^y.(a a))) 8. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 25615/1421985. ------ 1. ==[ start ]==> (((a a)(^b.a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(a ((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(^x.a))(a (a a))) REDUCED to normal form. ------ 25616/1422012. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a b)(a a))) REDUCED to normal form. ------ 25617/1422039. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((a a) a)(a (^z.z)))) 3. ==[ beta ]==> ((a (^y.y))(((a a) a)(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 25618/1422147. ------ 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)((a (^y.y))((a a) a))) 4. ==[ alpha ]==> ((a a)((a (^x.x))((a a) a))) REDUCED to normal form. ------ 25619/1422165. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(b (^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b (^z.b))) 3. ==[ beta ]==> ((^y.(y y))(b (^z.b))) 4. ==[ alpha ]==> ((^x.(x x))(b (^y.b))) 5. ==[ beta ]==> ((b (^y.b))(b (^y.b))) 6. ==[ alpha ]==> ((b (^x.b))(b (^y.b))) REDUCED to normal form. ------ 25620/1422192. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(a (^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(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. ------ 25621/1422273. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 25622/1422300. ------ 1. ==[ start ]==> (((^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 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. ------ 25623/1422354. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a a)(a 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. ------ 25624/1422381. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(a b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a b)) REDUCED to normal form. ------ 25625/1422399. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a b) a)) REDUCED to normal form. ------ 25626/1422426. ------ 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 (^x.x)) a)(((a a) a) b)) REDUCED to normal form. ------ 25627/1422516. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.a)(^b.(^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. ------ 25628/1422606. ------ 1. ==[ start ]==> (((a (a a)) b)(((a a) a)(a a))) REDUCED to normal form. ------ 25629/1422633. ------ 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))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (a (((^y.y)(^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))(a (^z.z)))) 7. ==[ beta ]==> (a ((^y.y)(a (^z.z)))) 8. ==[ alpha ]==> (a ((^x.x)(a (^y.y)))) 9. ==[ beta ]==> (a (a (^y.y))) 10. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 25630/1422660. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 25631/1422687. ------ 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)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a (a (a a)))) REDUCED to normal form. ------ 25632/1422714. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.a))((a (^y.y))(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.a))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 25633/1422732. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(b (^z.a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(b (^z.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (^z.a))) REDUCED to normal form. ------ 25634/1422741. ------ 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. ------ 25635/1422804. ------ 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.(^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. ------ 25636/1422831. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a (a a))(^y.a))) REDUCED to normal form. ------ 25637/1422858. ------ 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.(x1 x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^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)))) 7. ==[ beta ]==> ((a a)(a (^y.(y y)))) 8. ==[ alpha ]==> ((a a)(a (^x.(x x)))) REDUCED to normal form. ------ 25638/1422885. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 25639/1422939. ------ 1. ==[ start ]==> ((a ((a a) a))(((a a) a) a)) REDUCED to normal form. ------ 25640/1422975. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.(^a.a))(^a.(^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. ------ 25641/1423029. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (a ((^z.a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (a ((^x.a)(^y.(y y)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 25642/1423065. ------ 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. ------ 25643/1423092. ------ 1. ==[ start ]==> ((((a a) a) a)(a ((a a) a))) REDUCED to normal form. ------ 25644/1423146. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (a a))(a (^x1.x1)))) REDUCED to normal form. ------ 25645/1423173. ------ 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.x1) a))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(x x)))(a ((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.(x x)))(a ((^y.y) a))) 7. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 25646/1423200. ------ 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)))) REDUCED to normal form. ------ 25647/1423227. ------ 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.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. ------ 25648/1423272. ------ 1. ==[ start ]==> ((a (^a.b))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 25649/1423290. ------ 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. ------ 25650/1423317. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a (^x1.a))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.a))) REDUCED to normal form. ------ 25651/1423344. ------ 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. ------ 25652/1423371. ------ 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. ------ 25653/1423398. ------ 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.y1)) a)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1)(^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(^x1.x1)) a)) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1)) a)) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z)) a)) 7. ==[ beta ]==> ((a (^x.x))((^z.z) a)) 8. ==[ alpha ]==> ((a (^x.x))((^y.y) a)) 9. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 25654/1423425. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a (a a)) b)) REDUCED to normal form. ------ 25655/1423452. ------ 1. ==[ start ]==> ((a (a b))(((^a.a) a) c)) 2. ==[ alpha ]==> ((a (a b))(((^x.x) a) c)) 3. ==[ beta ]==> ((a (a b))(a c)) REDUCED to normal form. ------ 25656/1423461. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.a)(^b.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. ------ 25657/1423605. ------ 1. ==[ start ]==> ((((a a) a) b)((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a) b)((a (^x.x))((^y.y) a))) 3. ==[ beta ]==> ((((a a) a) b)((a (^x.x)) a)) REDUCED to normal form. ------ 25658/1423623. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(b (^z.(z z)))) 3. ==[ beta ]==> (b (b (^z.(z z)))) 4. ==[ alpha ]==> (b (b (^x.(x x)))) REDUCED to normal form. ------ 25659/1423632. ------ 1. ==[ start ]==> (((a b) a)((a a)(a (a a)))) REDUCED to normal form. ------ 25660/1423650. ------ 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. ------ 25661/1423677. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(z z))(a a))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a a))) 5. ==[ beta ]==> ((^y.(y y))(a a)) 6. ==[ alpha ]==> ((^x.(x x))(a a)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 25662/1423713. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(c c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(c c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(c c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(c c)) REDUCED to normal form. ------ 25663/1423731. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))((^z.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. ------ 25664/1423812. ------ 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)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 25665/1423821. ------ 1. ==[ start ]==> (((a b)(^a.a))(c (a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(c (a (^y.y)))) REDUCED to normal form. ------ 25666/1423839. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(^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. ------ 25667/1423884. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(y y)) a)) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(a a)) REDUCED to normal form. ------ 25668/1423911. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.a) b)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.a) b)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a) b)) 5. ==[ beta ]==> ((a (^y.y))((^z.a) b)) 6. ==[ alpha ]==> ((a (^x.x))((^y.a) b)) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 25669/1423992. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a (^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 25670/1424010. ------ 1. ==[ start ]==> (((^a.b) b)(c b)) 2. ==[ alpha ]==> (((^x.b) b)(c b)) 3. ==[ beta ]==> (b (c b)) REDUCED to normal form. ------ 25671/1424019. ------ 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. ------ 25672/1424046. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x)(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. ------ 25673/1424055. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(a a))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.y)((^z.z) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 25674/1424082. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 25675/1424136. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.a))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.a))) 7. ==[ beta ]==> ((^y.y)(^z.a)) 8. ==[ alpha ]==> ((^x.x)(^y.a)) 9. ==[ beta ]==> (^y.a) 10. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 25676/1424217. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a (^x1.a))) 3. ==[ beta ]==> (b (a (^x1.a))) 4. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 25677/1424226. ------ 1. ==[ start ]==> (((a b) b)(c a)) REDUCED to normal form. ------ 25678/1424253. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(b b)) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(b b)) 3. ==[ beta ]==> (((a a) a)(b b)) REDUCED to normal form. ------ 25679/1424271. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((a a)((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> ((a a)((^x.x)(a (^y.y)))) 7. ==[ beta ]==> ((a a)(a (^y.y))) 8. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 25680/1424280. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(a c)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(a c)) REDUCED to normal form. ------ 25681/1424298. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(^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. ------ 25682/1424307. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(b (a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(b (a a))) REDUCED to normal form. ------ 25683/1424352. ------ 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)(^z.z))((^y.y)(^z.z)))(b (^x1.x1))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b (^y1.y1))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b (^y1.y1))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b (^x1.x1))) 7. ==[ beta ]==> (((^y.y)(^z.z))(b (^x1.x1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.z))) 9. ==[ beta ]==> ((^y.y)(b (^z.z))) 10. ==[ alpha ]==> ((^x.x)(b (^y.y))) 11. ==[ beta ]==> (b (^y.y)) 12. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 25684/1424361. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 25685/1424388. ------ 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. ------ 25686/1424415. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(a b)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(a b)) REDUCED to normal form. ------ 25687/1424433. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (b ((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.x)(^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 25688/1424442. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(a (a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 25689/1424469. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(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)) REDUCED to normal form. ------ 25690/1425300. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^c.(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 25691/1427391. ------ 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) REDUCED to normal form. ------ 25692/1427415. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 25693/1427496. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 25694/1427616. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 25695/1427658. ------ 1. ==[ start ]==> ((^a.(^b.a))((a b) b)) 2. ==[ alpha ]==> ((^x.(^y.x))((a b) b)) 3. ==[ beta ]==> (^y.((a b) b)) 4. ==[ alpha ]==> (^x.((a b) b)) REDUCED to normal form. ------ 25696/1427832. ------ 1. ==[ start ]==> (((a a)(^b.a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.(a a)))) REDUCED to normal form. ------ 25697/1428000. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a (^y.y))((a a) a))) 3. ==[ beta ]==> (((a (^y.y))((a a) a))(((a (^y.y))((a a) a))((a (^y.y))((a a) a)))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(((a (^y.y))((a a) a))((a (^z.z))((a a) a)))) REDUCED to normal form. ------ 25698/1428225. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(^x1.b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 25699/1428228. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^c.(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.b))) REDUCED to normal form. ------ 25700/1428615. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.b))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.b))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.b))) 7. ==[ beta ]==> (^y.(^z.b)) 8. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 25701/1428939. ------ 1. ==[ start ]==> ((((a a) a) a)(^b.(^c.a))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.a))) REDUCED to normal form. ------ 25702/1429116. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 25703/1429506. ------ 1. ==[ start ]==> (((a a)(^a.b))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 25704/1429614. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(a (a a)))) 5. ==[ beta ]==> ((^y.a)(^z.(a (a a)))) 6. ==[ alpha ]==> ((^x.a)(^y.(a (a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 25705/1429683. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (^a.a)) c)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (^z.z)) c)) 3. ==[ beta ]==> (^y.(((a (^z.z)) c)((a (^z.z)) c))) 4. ==[ alpha ]==> (^x.(((a (^y.y)) c)((a (^z.z)) c))) REDUCED to normal form. ------ 25706/1429731. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(y (y y)))) REDUCED to normal form. ------ 25707/1429890. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(b c)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(b c)) 3. ==[ beta ]==> ((^y.y)((b c)(b c))) 4. ==[ alpha ]==> ((^x.x)((b c)(b c))) 5. ==[ beta ]==> ((b c)(b c)) REDUCED to normal form. ------ 25708/1429902. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^c.(^b.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. ------ 25709/1429983. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^c.c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.x1)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.x1)) 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. ------ 25710/1430064. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^b.c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.c)) 3. ==[ beta ]==> (b (^x1.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 25711/1430073. ------ 1. ==[ start ]==> (((a b) b)(^a.(^b.a))) 2. ==[ alpha ]==> (((a b) b)(^x.(^y.x))) REDUCED to normal form. ------ 25712/1430127. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 25713/1430235. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 25714/1430262. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^b.(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(a a))) REDUCED to normal form. ------ 25715/1430280. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^c.a)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.a)) 3. ==[ beta ]==> (b (^z.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 25716/1430289. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 25717/1430316. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^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))) REDUCED to normal form. ------ 25718/1430346. ------ 1. ==[ start ]==> ((a (^a.a))(((^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. ------ 25719/1430355. ------ 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))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 25720/1430373. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 25721/1430382. ------ 1. ==[ start ]==> (((a a) a)((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a) a)((^x.b)(a (^y.y)))) 3. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 25722/1430400. ------ 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. ------ 25723/1430427. ------ 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 y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 25724/1430436. ------ 1. ==[ start ]==> (((^a.a) b)((^b.(^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. ------ 25725/1430463. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.z))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^y.y)(^z.z))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 11. ==[ beta ]==> ((^y.y)(^z.z)) 12. ==[ alpha ]==> ((^x.x)(^y.y)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 25726/1430490. ------ 1. ==[ start ]==> (((a a) b)((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a a) b)((^x.a)((a a) a))) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 25727/1430508. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.b))) 5. ==[ beta ]==> ((a (^y.y))(^z.b)) 6. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 25728/1430517. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 25729/1430535. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a a)(^z.(a a)))) 3. ==[ beta ]==> ((a (^y.y))((a a)(^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(a a)))) REDUCED to normal form. ------ 25730/1430544. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^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. ------ 25731/1430562. ------ 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)(((^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. ------ 25732/1430571. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 25733/1430589. ------ 1. ==[ start ]==> ((a (^b.a))((a b) b)) 2. ==[ alpha ]==> ((a (^x.a))((a b) b)) REDUCED to normal form. ------ 25734/1430625. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 25735/1430706. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(^z.a))) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 25736/1430733. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(^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))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 25737/1430760. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.a)(^b.(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. ------ 25738/1430778. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 25739/1430850. ------ 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) 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)((^y.y)((^z.z) a))) 6. ==[ alpha ]==> (((a a) a)((^x.x)((^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. ------ 25740/1430877. ------ 1. ==[ start ]==> (((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 a)))) REDUCED to normal form. ------ 25741/1430904. ------ 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))(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. ------ 25742/1430931. ------ 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. ------ 25743/1431003. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.b)(a a))) 3. ==[ beta ]==> ((a b)((^y.b)(a a))) 4. ==[ alpha ]==> ((a b)((^x.b)(a a))) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 25744/1431021. ------ 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)(^y.y))(((a a) a)(^z.(^x1.x1)))) 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. ------ 25745/1431048. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> ((a (a a))((^y.y)(^z.a))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(^y.a))) 7. ==[ beta ]==> ((a (a a))(^y.a)) 8. ==[ alpha ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 25746/1431057. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 25747/1431075. ------ 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 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. ------ 25748/1431084. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 25749/1431111. ------ 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. ------ 25750/1431138. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 25751/1431156. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.b))) REDUCED to normal form. ------ 25752/1431246. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 25753/1431372. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.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) 9. ==[ beta ]==> b REDUCED to normal form. ------ 25754/1431426. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) c)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) c)) 7. ==[ beta ]==> ((^y.(^z.z)) c) 8. ==[ alpha ]==> ((^x.(^y.y)) c) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 25755/1431489. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))(c (^y.(^z.z)))) REDUCED to normal form. ------ 25756/1431516. ------ 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. ------ 25757/1431543. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(a (^x1.b))) 3. ==[ beta ]==> (((^y.y)(^z.z))(a (^x1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.b))) 5. ==[ beta ]==> ((^y.y)(a (^z.b))) 6. ==[ alpha ]==> ((^x.x)(a (^y.b))) 7. ==[ beta ]==> (a (^y.b)) 8. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 25758/1431750. ------ 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. ------ 25759/1431840. ------ 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. ------ 25760/1431912. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.(^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 ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 25761/1431975. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(c (^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(c (^y.(y y)))) REDUCED to normal form. ------ 25762/1432002. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(b (^b.(^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. ------ 25763/1432047. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (^x.b))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.z))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 25764/1432218. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 25765/1432236. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a) c)) 3. ==[ beta ]==> ((^y.b)(((^z.z) a) c)) 4. ==[ alpha ]==> ((^x.b)(((^y.y) a) c)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 25766/1432317. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1)) a)) IRREDUCIBLE: cycle. ------ 25767/1432380. ------ 1. ==[ start ]==> ((((a a) a) b)(c (^b.a))) 2. ==[ alpha ]==> ((((a a) a) b)(c (^x.a))) REDUCED to normal form. ------ 25768/1432407. ------ 1. ==[ start ]==> (((a b) a)(b (^a.(a a)))) 2. ==[ alpha ]==> (((a b) a)(b (^x.(x x)))) REDUCED to normal form. ------ 25769/1432434. ------ 1. ==[ start ]==> (((a a)(^a.b))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(a (^y.(^z.z)))) REDUCED to normal form. ------ 25770/1432452. ------ 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))(^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. ------ 25771/1432488. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 25772/1432506. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a (^y.y))(^z.a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a (^y.y))(^z.a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 25773/1432515. ------ 1. ==[ start ]==> (((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))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 25774/1432542. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)(a (a a)))) 5. ==[ beta ]==> ((^y.a)((^z.z)(a (a a)))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(a (a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 25775/1432569. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.x1)(^x1.x1))) 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. ------ 25776/1432587. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.b)(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. ------ 25777/1432596. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 25778/1432614. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (^a.a)) c)) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y)) c)) REDUCED to normal form. ------ 25779/1432632. ------ 1. ==[ start ]==> (((a a)(a b))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a b))(b ((^x.x) a))) 3. ==[ beta ]==> (((a a)(a b))(b a)) REDUCED to normal form. ------ 25780/1432659. ------ 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. ------ 25781/1432686. ------ 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) a)(a a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1) a)(a a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) a)(a a))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(a a))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(a a))) 7. ==[ beta ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 25782/1432713. ------ 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. ------ 25783/1432740. ------ 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. ------ 25784/1432785. ------ 1. ==[ start ]==> (((^a.b) b)((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.a)(a a))) 3. ==[ beta ]==> (b ((^y.a)(a a))) 4. ==[ alpha ]==> (b ((^x.a)(a a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 25785/1432794. ------ 1. ==[ start ]==> (((a b)(a a))(c b)) REDUCED to normal form. ------ 25786/1432821. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(b c)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(b c)) 3. ==[ beta ]==> ((a (a a))(b c)) REDUCED to normal form. ------ 25787/1432830. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a a)(^z.a))) 3. ==[ beta ]==> ((^y.(a a))((a a)(^z.a))) 4. ==[ alpha ]==> ((^x.(a a))((a a)(^y.a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 25788/1432857. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1) a) a)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a) a)) 5. ==[ beta ]==> (((^y.y) a) a) 6. ==[ alpha ]==> (((^x.x) a) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 25789/1432911. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a a) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a) c)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a) c)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((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. ------ 25790/1432992. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1) c)) 3. ==[ beta ]==> (b ((^x1.x1) c)) 4. ==[ alpha ]==> (b ((^x.x) c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 25791/1433001. ------ 1. ==[ start ]==> (((a b) b)(a (^b.a))) 2. ==[ alpha ]==> (((a b) b)(a (^x.a))) REDUCED to normal form. ------ 25792/1433028. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a 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))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 25793/1433046. ------ 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. ------ 25794/1433055. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(a (^y.y))) REDUCED to normal form. ------ 25795/1433073. ------ 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)((a (^z.z)) 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. ------ 25796/1433082. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(^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. ------ 25797/1433127. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1)) a)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1)) a)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1)) a)) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1)) a)) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1)) a)) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 11. ==[ beta ]==> ((^y.(^z.z)) a) 12. ==[ alpha ]==> ((^x.(^y.y)) a) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 25798/1433136. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 25799/1433163. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))(a (^y.(^z.z)))) 7. ==[ beta ]==> ((a (^y.(^z.z)))(a (^y.(^z.z)))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 25800/1433190. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.a)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(a a)) REDUCED to normal form. ------ 25801/1433208. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a a) a)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a a) a)) 3. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 25802/1433217. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 25803/1433244. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(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))) REDUCED to normal form. ------ 25804/1434642. ------ 1. ==[ start ]==> ((^a.((a a) a))(^b.((a a) a))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.((a a) a))) 3. ==[ beta ]==> (((^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))) 5. ==[ beta ]==> (((a a) a)(^z.((a a) a))) 6. ==[ alpha ]==> (((a a) a)(^x.((a a) a))) REDUCED to normal form. ------ 25805/1436226. ------ 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)((^y.(a a))(a a))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(a a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 25806/1436253. ------ 1. ==[ start ]==> ((^a.b)((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.b)(a (^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 25807/1436334. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^z.(z z))((^x1.x1)(^y1.y1)))(^y.y)) 4. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.x1)) 5. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.x1)) 6. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.y1)) 7. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.y1)) 8. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.x1)) 9. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 10. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 11. ==[ beta ]==> ((^y.y)(^z.z)) 12. ==[ alpha ]==> ((^x.x)(^y.y)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 25808/1436523. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ eta ]==> ((^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. ------ 25809/1436643. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 25810/1436694. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((a a) a)(a (^z.z)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 25811/1436832. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^c.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(a b))) 3. ==[ beta ]==> ((^y.y)(^x1.(a b))) 4. ==[ alpha ]==> ((^x.x)(^y.(a b))) 5. ==[ beta ]==> (^y.(a b)) 6. ==[ alpha ]==> (^x.(a b)) REDUCED to normal form. ------ 25812/1437039. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^b.(a b))) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.(a x))) 3. ==[ eta ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 25813/1437144. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(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. ------ 25814/1437237. ------ 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))(^y.(^z.z)))(^x1.(x1 b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(y1 b))) 5. ==[ beta ]==> ((^y.y)(^y1.(y1 b))) 6. ==[ alpha ]==> ((^x.x)(^y.(y b))) 7. ==[ beta ]==> (^y.(y b)) 8. ==[ alpha ]==> (^x.(x b)) REDUCED to normal form. ------ 25815/1437576. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((^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))) 4. ==[ alpha ]==> ((((^x.x)((a a) a))((^y.y)((a a) a)))((^z.z)((a a) a))) 5. ==[ beta ]==> ((((a a) a)((^y.y)((a a) a)))((^z.z)((a a) a))) 6. ==[ alpha ]==> ((((a a) a)((^x.x)((a a) a)))((^y.y)((a a) a))) 7. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)((a a) a))) 8. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)((a a) a))) 9. ==[ beta ]==> ((((a a) a)((a a) a))((a a) a)) REDUCED to normal form. ------ 25816/1437579. ------ 1. ==[ start ]==> ((a ((a a) a))(^b.((a a) a))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.((a a) a))) REDUCED to normal form. ------ 25817/1437750. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.((y y) y))) 3. ==[ beta ]==> (((a a) a)(^y.((y y) y))) 4. ==[ alpha ]==> (((a a) a)(^x.((x x) x))) REDUCED to normal form. ------ 25818/1438038. ------ 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.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))(^y.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 25819/1438089. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))(^z.(^x1.x1))) b) 4. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z))) b) 5. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z))) b) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1))) b) 7. ==[ beta ]==> ((^y.y) b) 8. ==[ alpha ]==> ((^x.x) b) 9. ==[ beta ]==> b REDUCED to normal form. ------ 25820/1438182. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.((^x1.x1)(^y1.y1)))) IRREDUCIBLE: cycle. ------ 25821/1438290. ------ 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)))) REDUCED to normal form. ------ 25822/1438407. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.(z z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 25823/1438476. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(c (a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(c (a (^z.z)))) 3. ==[ beta ]==> (^y.((c (a (^z.z)))(c (a (^z.z))))) 4. ==[ alpha ]==> (^x.((c (a (^y.y)))(c (a (^z.z))))) REDUCED to normal form. ------ 25824/1438524. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(^z.(z z)))) REDUCED to normal form. ------ 25825/1438632. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 25826/1438683. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))(a (^y1.y1)))((^z.(^x1.x1))(a (^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(a (^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2))))) 5. ==[ beta ]==> (((^y.(^z.z))(a (^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2)))) 6. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 7. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (^z1.z1)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 9. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 10. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 25827/1438857. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> (b (^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 25828/1438866. ------ 1. ==[ start ]==> (((a b) b)(^b.c)) 2. ==[ alpha ]==> (((a b) b)(^x.c)) REDUCED to normal form. ------ 25829/1438920. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 25830/1438938. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^a.c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.c)) 3. ==[ beta ]==> ((^y.y)(^z.c)) 4. ==[ alpha ]==> ((^x.x)(^y.c)) 5. ==[ beta ]==> (^y.c) 6. ==[ alpha ]==> (^x.c) REDUCED to normal form. ------ 25831/1438992. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.(x1 (^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(y1 (^z1.z1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(y1 (^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(x1 (^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 (^y1.y1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z (^x1.x1)))) 9. ==[ beta ]==> ((^y.y)(^z.(z (^x1.x1)))) 10. ==[ alpha ]==> ((^x.x)(^y.(y (^z.z)))) 11. ==[ beta ]==> (^y.(y (^z.z))) 12. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 25832/1439028. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^b.b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.x1)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.x1)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.z)) 5. ==[ beta ]==> ((^y.(y y))(^z.z)) 6. ==[ alpha ]==> ((^x.(x x))(^y.y)) 7. ==[ beta ]==> ((^y.y)(^y.y)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 25833/1439055. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^c.(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 25834/1439073. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^a.b)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.b)) 3. ==[ beta ]==> (b (^z.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 25835/1439082. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^c.a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 25836/1439109. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^b.a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.a)) 3. ==[ beta ]==> (((a a)(^y.y))(^z.a)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 25837/1439157. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a)(a a))(^a.a))) 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. ------ 25838/1439166. ------ 1. ==[ start ]==> ((a (a a))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((a (a a))((^x.(a a))(a a))) 3. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 25839/1439184. ------ 1. ==[ start ]==> (((a a) a)((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 25840/1439193. ------ 1. ==[ start ]==> ((a b)((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.b)(a (^y.y)))) 3. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 25841/1439211. ------ 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. ------ 25842/1439238. ------ 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 ((^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. ------ 25843/1439247. ------ 1. ==[ start ]==> (((a a)(a a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 25844/1439265. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 25845/1439274. ------ 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)))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (a (^x.x)))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (a (^x.x)))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(^z.z))) 9. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 10. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 25846/1439292. ------ 1. ==[ start ]==> (((a a) b)(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((a a) b)(((^x.x) a)(^y.a))) 3. ==[ beta ]==> (((a a) b)(a (^y.a))) 4. ==[ alpha ]==> (((a a) b)(a (^x.a))) REDUCED to normal form. ------ 25847/1439319. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))(^z.b))) REDUCED to normal form. ------ 25848/1439346. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.(a a)))) REDUCED to normal form. ------ 25849/1439373. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(a a)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((a a) a)) REDUCED to normal form. ------ 25850/1439409. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.b)(^a.(^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. ------ 25851/1439427. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((a a) a) c)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((a a) a) c)) 3. ==[ beta ]==> ((^y.y)(((a a) a) c)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) c)) 5. ==[ beta ]==> (((a a) a) c) REDUCED to normal form. ------ 25852/1439463. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) 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)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 25853/1439553. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(b (a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(b (a b))) 3. ==[ beta ]==> (((^y.y) a)(b (a b))) 4. ==[ alpha ]==> (((^x.x) a)(b (a b))) 5. ==[ beta ]==> (a (b (a b))) REDUCED to normal form. ------ 25854/1439580. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 25855/1439589. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(a a)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 25856/1439616. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.b) b)) 3. ==[ beta ]==> ((a (^y.y))((^z.b) b)) 4. ==[ alpha ]==> ((a (^x.x))((^y.b) b)) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 25857/1439634. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 25858/1439742. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z))((a a) a))) 3. ==[ beta ]==> ((^y.(y y))((a (^z.z))((a a) a))) 4. ==[ alpha ]==> ((^x.(x x))((a (^y.y))((a a) a))) 5. ==[ beta ]==> (((a (^y.y))((a a) a))((a (^y.y))((a a) a))) 6. ==[ alpha ]==> (((a (^x.x))((a a) a))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 25859/1439769. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 25860/1439805. ------ 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. ------ 25861/1439832. ------ 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. ------ 25862/1439859. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.a)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.a)) REDUCED to normal form. ------ 25863/1439886. ------ 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 z)))) REDUCED to normal form. ------ 25864/1439913. ------ 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. ------ 25865/1439976. ------ 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. ------ 25866/1440003. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.b)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.b)(^z.z))) 5. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 25867/1440048. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> ((b b)(((^y.y)(^z.z)) c)) 4. ==[ alpha ]==> ((b b)(((^x.x)(^y.y)) c)) 5. ==[ beta ]==> ((b b)((^y.y) c)) 6. ==[ alpha ]==> ((b b)((^x.x) c)) 7. ==[ beta ]==> ((b b) c) REDUCED to normal form. ------ 25868/1440057. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 25869/1440084. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.x))((^z.(z z))(^z.(z z)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 25870/1440174. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(a (a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a (a b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a (a b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(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. ------ 25871/1440183. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.b) a)) 2. ==[ alpha ]==> (((a (a a)) b)((^x.b) a)) 3. ==[ beta ]==> (((a (a a)) b) b) REDUCED to normal form. ------ 25872/1440228. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(a (^x1.x1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.z))) 9. ==[ beta ]==> ((^y.y)(a (^z.z))) 10. ==[ alpha ]==> ((^x.x)(a (^y.y))) 11. ==[ beta ]==> (a (^y.y)) 12. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 25873/1440237. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 25874/1440255. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a (a a))((^z.z) a))) 3. ==[ beta ]==> ((^y.y)((a (a 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. ------ 25875/1440309. ------ 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.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 25876/1440408. ------ 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 (^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. ------ 25877/1440435. ------ 1. ==[ start ]==> ((((^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))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> ((a a)((^y.(y y))((^z.z) 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. ------ 25878/1440462. ------ 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. ------ 25879/1440489. ------ 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)(^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. ------ 25880/1440516. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.x)((a a) a))) 3. ==[ beta ]==> ((a ((a a) a))((a a) a)) REDUCED to normal form. ------ 25881/1440687. ------ 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. ------ 25882/1440714. ------ 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)(((^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. ------ 25883/1440723. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1)) 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. ------ 25884/1440768. ------ 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.x1) a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z) a)((^x1.x1) 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. ------ 25885/1440867. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))(a a))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 25886/1440894. ------ 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 x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(x1 x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((a (^x1.x1))(a (^x1.x1)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 25887/1440921. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((a (a (a a)))((^y.a)((^z.z) a))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.a)((^y.y) a))) 5. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 25888/1440948. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(^z.z))(a (a a)))) 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. ------ 25889/1440975. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 9. ==[ beta ]==> ((a (^x.x))(^z.z)) 10. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 25890/1441002. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.(^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. ------ 25891/1441020. ------ 1. ==[ start ]==> (((^a.b) a)((a (a a)) b)) 2. ==[ alpha ]==> (((^x.b) a)((a (a a)) b)) 3. ==[ beta ]==> (b ((a (a a)) b)) REDUCED to normal form. ------ 25892/1441029. ------ 1. ==[ start ]==> ((a (a b))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a b))((^y.(^z.z))(^y.(^z.z)))) 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. ------ 25893/1441119. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a ((^z.z)(^x1.x1)))) IRREDUCIBLE: cycle. ------ 25894/1441182. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.a) c)) 2. ==[ alpha ]==> ((((a a) a) b)((^x.a) c)) 3. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 25895/1441200. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((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. ------ 25896/1441227. ------ 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. ------ 25897/1441290. ------ 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. ------ 25898/1441317. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 25899/1441344. ------ 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 REDUCED to normal form. ------ 25900/1441371. ------ 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. ------ 25901/1441398. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) a) b)) 3. ==[ beta ]==> (((a b)(^x.x))(a b)) REDUCED to normal form. ------ 25902/1441416. ------ 1. ==[ start ]==> ((a (^b.(a a)))(c (a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(c (a (^y.y)))) REDUCED to normal form. ------ 25903/1441434. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(^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. ------ 25904/1441461. ------ 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 (^x.x))((a a) a))(^z.(z z))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(y y))) REDUCED to normal form. ------ 25905/1441542. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(b (^b.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. ------ 25906/1441569. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(a (^y.(y y)))) REDUCED to normal form. ------ 25907/1441587. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.z))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.y))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 25908/1441596. ------ 1. ==[ start ]==> (((a b)(a a))((^b.a)(a a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.a)(a a))) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 25909/1441623. ------ 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)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 25910/1441632. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(b c)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(b c)) 3. ==[ beta ]==> ((^y.(a a))(b c)) 4. ==[ alpha ]==> ((^x.(a a))(b c)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 25911/1441713. ------ 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. ------ 25912/1441794. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 25913/1441803. ------ 1. ==[ start ]==> (((a b) b)((^a.a) c)) 2. ==[ alpha ]==> (((a b) b)((^x.x) c)) 3. ==[ beta ]==> (((a b) b) c) REDUCED to normal form. ------ 25914/1441830. ------ 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. ------ 25915/1441848. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(b b)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(b b)) 3. ==[ beta ]==> (((^y.y)(a a))(b b)) 4. ==[ alpha ]==> (((^x.x)(a a))(b b)) 5. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 25916/1441857. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 25917/1441875. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(a c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(a c)) 3. ==[ beta ]==> ((^y.y)(a c)) 4. ==[ alpha ]==> ((^x.x)(a c)) 5. ==[ beta ]==> (a c) REDUCED to normal form. ------ 25918/1441884. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (^z.z)) a)) REDUCED to normal form. ------ 25919/1441929. ------ 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 ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(a (a (^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(a (a (^y1.y1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(a (a (^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a (a (^x1.x1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(a (a (^x1.x1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(a (a (^z.z)))) 9. ==[ beta ]==> ((^y.y)(a (a (^z.z)))) 10. ==[ alpha ]==> ((^x.x)(a (a (^y.y)))) 11. ==[ beta ]==> (a (a (^y.y))) 12. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 25920/1441938. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.(^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. ------ 25921/1441965. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.x1) b)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.x1) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z) b)) 5. ==[ beta ]==> ((^y.(y y))((^z.z) b)) 6. ==[ alpha ]==> ((^x.(x x))((^y.y) b)) 7. ==[ beta ]==> (((^y.y) b)((^y.y) b)) 8. ==[ alpha ]==> (((^x.x) b)((^y.y) b)) 9. ==[ beta ]==> (b ((^y.y) b)) 10. ==[ alpha ]==> (b ((^x.x) b)) 11. ==[ beta ]==> (b b) REDUCED to normal form. ------ 25922/1441992. ------ 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. ------ 25923/1442010. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(a b)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(a b)) 3. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 25924/1442019. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a a) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 25925/1442046. ------ 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)(^x.x)) a) REDUCED to normal form. ------ 25926/1443786. ------ 1. ==[ start ]==> ((^a.(^a.b))(^a.(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.z))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 25927/1445046. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> ((((^y.y)(a a))(^z.z))(((^y.y)(a a))(^z.z))) 4. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((^z.z)(a a))(^x1.x1))) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(a a))(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))(^z.z))) 7. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.z))) 8. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 25928/1445073. ------ 1. ==[ start ]==> ((^a.b)((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((a b)(^y.(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 25929/1445154. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^z.(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 25930/1445247. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (^y.((^z.z)(a a))) 6. ==[ alpha ]==> (^x.((^y.y)(a a))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 25931/1445271. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.(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. ------ 25932/1445463. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^b.(^b.(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. ------ 25933/1445472. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(x1 x1))) REDUCED to normal form. ------ 25934/1445838. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(^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. ------ 25935/1446057. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.x1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.y1))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.y1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 7. ==[ beta ]==> (^y.(^z.y)) 8. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 25936/1446066. ------ 1. ==[ start ]==> (((a (a a)) b)(^a.(a b))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(x b))) REDUCED to normal form. ------ 25937/1446570. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(^z.a))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.a))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.a))) REDUCED to normal form. ------ 25938/1446729. ------ 1. ==[ start ]==> ((^a.(^a.b))(a (^c.a))) 2. ==[ alpha ]==> ((^x.(^y.b))(a (^z.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 25939/1446732. ------ 1. ==[ start ]==> ((a (^a.b))(^a.(^c.a))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(^z.y))) REDUCED to normal form. ------ 25940/1446909. ------ 1. ==[ start ]==> ((^a.(a b))((a (a a)) b)) 2. ==[ alpha ]==> ((^x.(x b))((a (a a)) b)) 3. ==[ beta ]==> (((a (a a)) b) b) REDUCED to normal form. ------ 25941/1447002. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(^x1.(^y1.y1)))) IRREDUCIBLE: cycle. ------ 25942/1447119. ------ 1. ==[ start ]==> (((a a)(^a.b))(^c.(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(a (a a)))) REDUCED to normal form. ------ 25943/1447137. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 25944/1447296. ------ 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 ((^y1.a)(^z1.(^x2.x2))))) 6. ==[ alpha ]==> (^x.(a ((^y.a)(^z.(^x1.x1))))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 25945/1447503. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a (^z.z))(^x1.(^y1.y1)))((a (^z.z))(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(((a (^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.(^x2.x2))))) 5. ==[ beta ]==> (((a (^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 25946/1447542. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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 ]==> (^x.a) REDUCED to normal form. ------ 25947/1447686. ------ 1. ==[ start ]==> (((a b) b)(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a b) b)(^x.(a (^y.y)))) REDUCED to normal form. ------ 25948/1447758. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^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))) REDUCED to normal form. ------ 25949/1447767. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^a.c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.c)) REDUCED to normal form. ------ 25950/1447812. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 10. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 11. ==[ beta ]==> (^y.(^z.(^x1.x1))) 12. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 25951/1447821. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 25952/1447893. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(a a))) 3. ==[ beta ]==> (b (^z.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 25953/1447902. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^a.b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 25954/1447929. ------ 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. ------ 25955/1447995. ------ 1. ==[ start ]==> ((a (a a))(((^a.a)(a a))(^a.a))) 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. ------ 25956/1448004. ------ 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. ------ 25957/1448022. ------ 1. ==[ start ]==> ((a b)((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a b)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 25958/1448031. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> ((a a)((^y.b)(a (^z.z)))) 4. ==[ alpha ]==> ((a a)((^x.b)(a (^y.y)))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 25959/1448076. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^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)))) 5. ==[ beta ]==> (((a a)(a a))(^y.(y y))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(x x))) REDUCED to normal form. ------ 25960/1448103. ------ 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. ------ 25961/1448112. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 25962/1448139. ------ 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)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 25963/1448166. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 25964/1448193. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 7. ==[ beta ]==> ((^y.y)(a a)) 8. ==[ alpha ]==> ((^x.x)(a a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 25965/1448220. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(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. ------ 25966/1448238. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a b) b)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a b) b)) REDUCED to normal form. ------ 25967/1448301. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(^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. ------ 25968/1448328. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(a a))(^b.(^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. ------ 25969/1448382. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> (a ((^y.(^z.z))(^x1.b))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.b))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 25970/1448391. ------ 1. ==[ start ]==> (((a a)(^b.a))(b (a b))) 2. ==[ alpha ]==> (((a a)(^x.a))(b (a b))) REDUCED to normal form. ------ 25971/1448409. ------ 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)((^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. ------ 25972/1448418. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (a a))) REDUCED to normal form. ------ 25973/1448445. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a b)(a a))) 3. ==[ beta ]==> ((a (^y.y))((a b)(a a))) 4. ==[ alpha ]==> ((a (^x.x))((a b)(a a))) REDUCED to normal form. ------ 25974/1448553. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a a)(((^y.y) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(((^x.x) 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. ------ 25975/1448598. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(b (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(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. ------ 25976/1448652. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.b)(a a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.b)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(a a))) 5. ==[ beta ]==> ((^y.y)((^z.b)(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(a a))) 7. ==[ beta ]==> ((^y.b)(a a)) 8. ==[ alpha ]==> ((^x.b)(a a)) 9. ==[ beta ]==> b REDUCED to normal form. ------ 25977/1448706. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^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. ------ 25978/1448760. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 25979/1448787. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(^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. ------ 25980/1448805. ------ 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. ------ 25981/1448832. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a b) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a b) a)) 3. ==[ beta ]==> (((a (^x.x)) a)((a b) a)) REDUCED to normal form. ------ 25982/1448859. ------ 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)) REDUCED to normal form. ------ 25983/1448922. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 25984/1448949. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 25985/1449003. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.b))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.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. ------ 25986/1449012. ------ 1. ==[ start ]==> (((a (a a)) b)(a (a b))) REDUCED to normal form. ------ 25987/1449039. ------ 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. ------ 25988/1449066. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 25989/1449093. ------ 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.z) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a (a a)) a)) REDUCED to normal form. ------ 25990/1449120. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)(a (a a)))) 5. ==[ beta ]==> ((a (^x.a))(a (a (a a)))) REDUCED to normal form. ------ 25991/1449147. ------ 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. ------ 25992/1449174. ------ 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. ------ 25993/1449210. ------ 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))) 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. ------ 25994/1449237. ------ 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))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)(^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. ------ 25995/1449264. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (a a))(^z.a))) 3. ==[ beta ]==> ((a ((^y.y) a))((a (a a))(^z.a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a (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. ------ 25996/1449291. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(a (^z.(z z)))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(a (^y.(y y)))) REDUCED to normal form. ------ 25997/1449318. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)((a (^y.y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 25998/1449381. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.z))) 5. ==[ beta ]==> ((^y.a)(^z.z)) 6. ==[ alpha ]==> ((^x.a)(^y.y)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 25999/1449435. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> (a ((^z.(z z))(^x1.a))) 6. ==[ alpha ]==> (a ((^x.(x x))(^y.a))) 7. ==[ beta ]==> (a ((^y.a)(^y.a))) 8. ==[ alpha ]==> (a ((^x.a)(^y.a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 26000/1449471. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(c (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(c (a (a a)))) 3. ==[ beta ]==> (((^y.y) b)(c (a (a a)))) 4. ==[ alpha ]==> (((^x.x) b)(c (a (a a)))) 5. ==[ beta ]==> (b (c (a (a a)))) REDUCED to normal form. ------ 26001/1449498. ------ 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. ------ 26002/1449552. ------ 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.y1))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(a a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 26003/1449579. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a (a a))(a (^z.z)))) 3. ==[ beta ]==> ((a (^y.(y y)))((a (a a))(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (a a))(a (^y.y)))) REDUCED to normal form. ------ 26004/1449606. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y) a)((^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. ------ 26005/1449633. ------ 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.y1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(a (a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a (a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 26006/1449660. ------ 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)(^x.x))((a a)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 26007/1449678. ------ 1. ==[ start ]==> ((a (^a.b))(a (^c.a))) 2. ==[ alpha ]==> ((a (^x.b))(a (^y.a))) REDUCED to normal form. ------ 26008/1449696. ------ 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))((^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. ------ 26009/1449723. ------ 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. ------ 26010/1449750. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x) 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. ------ 26011/1449777. ------ 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)))) 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. ------ 26012/1449804. ------ 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)))) REDUCED to normal form. ------ 26013/1449831. ------ 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. ------ 26014/1449858. ------ 1. ==[ start ]==> ((a (a b))((a (a a)) b)) REDUCED to normal form. ------ 26015/1449867. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 26016/1449948. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.a)(^b.(^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. ------ 26017/1450011. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x) 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. ------ 26018/1450029. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(c (^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(c (^z.a))) 3. ==[ beta ]==> (b (c (^z.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 26019/1450038. ------ 1. ==[ start ]==> (((a b) a)((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b) a)((a (^x.x))((^y.y) a))) 3. ==[ beta ]==> (((a b) a)((a (^x.x)) a)) REDUCED to normal form. ------ 26020/1450056. ------ 1. ==[ start ]==> (((^a.a)(a b))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 26021/1450065. ------ 1. ==[ start ]==> (((a a)(^a.b))((a a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((a a)(a (a a)))) REDUCED to normal form. ------ 26022/1450083. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 26023/1450137. ------ 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) REDUCED to normal form. ------ 26024/1450218. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 26025/1450245. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 26026/1450263. ------ 1. ==[ start ]==> (((a a)(a b))((a (^a.a)) c)) 2. ==[ alpha ]==> (((a a)(a b))((a (^x.x)) c)) REDUCED to normal form. ------ 26027/1450317. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(z z)) a)) 5. ==[ beta ]==> ((a (^y.y))((^z.(z z)) a)) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y)) a)) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 26028/1450344. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^b.a) b)) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.a) b)) 3. ==[ beta ]==> (((a (a a))(a (a a))) a) REDUCED to normal form. ------ 26029/1450425. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x) a)(^y.y))) 3. ==[ beta ]==> (((a b)(a a))(a (^y.y))) 4. ==[ alpha ]==> (((a b)(a a))(a (^x.x))) REDUCED to normal form. ------ 26030/1450452. ------ 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)))) 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. ------ 26031/1450461. ------ 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 a) REDUCED to normal form. ------ 26032/1450488. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^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. ------ 26033/1450542. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(^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. ------ 26034/1450623. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 26035/1450632. ------ 1. ==[ start ]==> (((a b) b)((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b) b)((a a)(a (^x.x)))) REDUCED to normal form. ------ 26036/1450677. ------ 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))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 26037/1450686. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(b b)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(b b)) REDUCED to normal form. ------ 26038/1450704. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 26039/1450713. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(a c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(a c)) REDUCED to normal form. ------ 26040/1450758. ------ 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)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.y1)(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)(^z1.(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.y1)))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 11. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 12. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 13. ==[ beta ]==> (^y.(^z.z)) 14. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 26041/1450767. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (a (^z.z)))) REDUCED to normal form. ------ 26042/1450794. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a a)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a)(a a))) 5. ==[ beta ]==> ((^y.(y y))((a a)(a a))) 6. ==[ alpha ]==> ((^x.(x x))((a a)(a a))) 7. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 26043/1450821. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(b a)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(b a)) REDUCED to normal form. ------ 26044/1450839. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.z)(a a))) 3. ==[ beta ]==> (b ((^z.z)(a a))) 4. ==[ alpha ]==> (b ((^x.x)(a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 26045/1450848. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(a b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a b)) REDUCED to normal form. ------ 26046/1450875. ------ 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. ------ 26047/1450910. ------ 1. ==[ start ]==> (^a.((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (^x.((x x)((^y.y)(x x)))) 3. ==[ beta ]==> (^x.((x x)(x x))) REDUCED to normal form. ------ 26048/1450911. ------ 1. ==[ start ]==> (a ((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (a ((a a)((^x.x)(a a)))) 3. ==[ beta ]==> (a ((a a)(a a))) REDUCED to normal form. ------ 26049/1453860. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a))) a) 2. ==[ alpha ]==> (((a a)((^x.x)(a a))) a) 3. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 26050/1453866. ------ 1. ==[ start ]==> ((^a.a)((a a)((^a.a)(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. ------ 26051/1453956. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a) a)(^x1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 26052/1454103. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^z.(a a))) REDUCED to normal form. ------ 26053/1454118. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z)(a a)) a)) 3. ==[ beta ]==> (^y.(((^z.z)(a a)) a)) 4. ==[ alpha ]==> (^x.(((^y.y)(a a)) a)) 5. ==[ beta ]==> (^x.((a a) a)) REDUCED to normal form. ------ 26054/1454319. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.(a a)))) REDUCED to normal form. ------ 26055/1454361. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.b) b)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.b) b)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 26056/1454460. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^z.z)(^x1.x1)))((((^y.y) a)((^z.z)(^x1.x1)))(((^y.y) a)((^z.z)(^x1.x1))))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((((^x1.x1) a)((^y1.y1)(^z1.z1)))(((^x2.x2) a)((^y2.y2)(^z2.z2))))) 5. ==[ beta ]==> ((a ((^y.y)(^z.z)))((((^x1.x1) a)((^y1.y1)(^z1.z1)))(((^x2.x2) a)((^y2.y2)(^z2.z2))))) 6. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((((^z.z) a)((^x1.x1)(^y1.y1)))(((^z1.z1) a)((^x2.x2)(^y2.y2))))) 7. ==[ beta ]==> ((a (^y.y))((((^z.z) a)((^x1.x1)(^y1.y1)))(((^z1.z1) a)((^x2.x2)(^y2.y2))))) 8. ==[ alpha ]==> ((a (^x.x))((((^y.y) a)((^z.z)(^x1.x1)))(((^y1.y1) a)((^z1.z1)(^x2.x2))))) 9. ==[ beta ]==> ((a (^x.x))((a ((^z.z)(^x1.x1)))(((^y1.y1) a)((^z1.z1)(^x2.x2))))) 10. ==[ alpha ]==> ((a (^x.x))((a ((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1))))) 11. ==[ beta ]==> ((a (^x.x))((a (^z.z))(((^x1.x1) a)((^y1.y1)(^z1.z1))))) 12. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(((^z.z) a)((^x1.x1)(^y1.y1))))) 13. ==[ beta ]==> ((a (^x.x))((a (^y.y))(a ((^x1.x1)(^y1.y1))))) 14. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a ((^z.z)(^x1.x1))))) 15. ==[ beta ]==> ((a (^x.x))((a (^y.y))(a (^x1.x1)))) 16. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 26057/1454535. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^a.(^b.(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. ------ 26058/1454685. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 26059/1454913. ------ 1. ==[ start ]==> (((a (a a)) b)(^b.(^a.b))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.x))) REDUCED to normal form. ------ 26060/1456101. ------ 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. ------ 26061/1456143. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z) a) b)) 3. ==[ beta ]==> (^y.((((^z.z) a) b)(((^z.z) a) b))) 4. ==[ alpha ]==> (^x.((((^y.y) a) b)(((^z.z) a) b))) 5. ==[ beta ]==> (^x.((a b)(((^z.z) a) b))) 6. ==[ alpha ]==> (^x.((a b)(((^y.y) a) b))) 7. ==[ beta ]==> (^x.((a b)(a b))) REDUCED to normal form. ------ 26062/1456218. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(^x1.(x1 (x1 x1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(z (z z)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(z (z z)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(y (y y)))) REDUCED to normal form. ------ 26063/1456317. ------ 1. ==[ start ]==> (((^a.b) b)(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(^z.(z z)))) 3. ==[ beta ]==> (b (^y.(^z.(z z)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 26064/1456389. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^c.(^b.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. ------ 26065/1456560. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.(^z.y))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.y))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.x))) REDUCED to normal form. ------ 26066/1456605. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^c.(^a.(^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. ------ 26067/1456614. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 26068/1456668. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 26069/1456722. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 26070/1456740. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 26071/1456749. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 26072/1456776. ------ 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. ------ 26073/1456812. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^a.a)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.y)) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 26074/1456824. ------ 1. ==[ start ]==> ((a a)((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a a)((a a)((^x.x)(a a)))) 3. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 26075/1456860. ------ 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. ------ 26076/1456869. ------ 1. ==[ start ]==> (((a a) a)((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a a) a)((^x.(a a))(a a))) 3. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 26077/1456887. ------ 1. ==[ start ]==> (((^a.a)(a a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 26078/1456896. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 26079/1456914. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)(^z.a))) REDUCED to normal form. ------ 26080/1456923. ------ 1. ==[ start ]==> (((^a.a) b)((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x) b)((^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. ------ 26081/1456950. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 26082/1456968. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^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. ------ 26083/1456977. ------ 1. ==[ start ]==> (((a a) b)((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.(x x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a) b)(((^y.y)(^z.z))((^y.y)(^z.z)))) 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. ------ 26084/1457004. ------ 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 (^x.x)) a) a) REDUCED to normal form. ------ 26085/1457022. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 26086/1457031. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(^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. ------ 26087/1457049. ------ 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)(^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. ------ 26088/1457058. ------ 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))(^y.y))((^x1.x1)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(a a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 26089/1457076. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y)(a a)) a)) 3. ==[ beta ]==> ((a (^x.a))((a a) a)) REDUCED to normal form. ------ 26090/1457112. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 26091/1457193. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(a a))(^b.(^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. ------ 26092/1457220. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.a)(^z.a))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.a))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.a))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 26093/1457247. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 26094/1457274. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(a a))) REDUCED to normal form. ------ 26095/1457319. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.b) b)) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.b) b)) 3. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 26096/1457337. ------ 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)))) 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. ------ 26097/1457364. ------ 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)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1) a)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z) a)) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 26098/1457391. ------ 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. ------ 26099/1457418. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x) 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. ------ 26100/1457490. ------ 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. ------ 26101/1457508. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a b)(^z.z))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a b)(^z.z))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(^z.z))) 5. ==[ beta ]==> ((^y.y)((a b)(^z.z))) 6. ==[ alpha ]==> ((^x.x)((a b)(^y.y))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 26102/1457517. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.b)(a a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.b)(a a))) 3. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 26103/1457535. ------ 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. ------ 26104/1457562. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^x1.x1)(^y1.y1))(^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. ------ 26105/1457571. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 26106/1457598. ------ 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. ------ 26107/1457616. ------ 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)(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. ------ 26108/1457625. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 26109/1457643. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 26110/1457733. ------ 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)))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 26111/1457868. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.x)(^y.b))) 3. ==[ beta ]==> (((a (a a)) b)(^y.b)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.b)) REDUCED to normal form. ------ 26112/1457940. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a 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. ------ 26113/1458030. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(b (^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(b (^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.a))) 5. ==[ beta ]==> ((^y.y)(b (^z.a))) 6. ==[ alpha ]==> ((^x.x)(b (^y.a))) 7. ==[ beta ]==> (b (^y.a)) 8. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 26114/1458237. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 26115/1458291. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (a a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (a a)) c)) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (a a)) c)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (a a)) c)) 5. ==[ beta ]==> (a ((a (a a)) c)) REDUCED to normal form. ------ 26116/1458327. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)(^z.(z z)))) 5. ==[ beta ]==> (b ((^y.a)(^z.(z z)))) 6. ==[ alpha ]==> (b ((^x.a)(^y.(y y)))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 26117/1458354. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(^a.a))(^b.(^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. ------ 26118/1458516. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 26119/1458705. ------ 1. ==[ start ]==> (((^a.b) a)((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 26120/1458723. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (a a)) b)) 3. ==[ beta ]==> ((^y.b)((a (a a)) b)) 4. ==[ alpha ]==> ((^x.b)((a (a a)) b)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 26121/1458885. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.a) c)) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 26122/1458894. ------ 1. ==[ start ]==> (((a b) a)(c (^b.a))) 2. ==[ alpha ]==> (((a b) a)(c (^x.a))) REDUCED to normal form. ------ 26123/1458921. ------ 1. ==[ start ]==> (((a a)(^a.b))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(b (^y.(y y)))) REDUCED to normal form. ------ 26124/1458975. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(a a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 26125/1458993. ------ 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. ------ 26126/1459002. ------ 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) REDUCED to normal form. ------ 26127/1459029. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 26128/1459056. ------ 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. ------ 26129/1459074. ------ 1. ==[ start ]==> (((^a.b)(a a))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.b)(a a))((a (a a)) a)) 3. ==[ beta ]==> (b ((a (a a)) a)) REDUCED to normal form. ------ 26130/1459083. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a b)(^x.x))((^z.z)(^z.z))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 26131/1459101. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a) b)) 3. ==[ beta ]==> ((a (^x.(a a)))(a b)) REDUCED to normal form. ------ 26132/1459119. ------ 1. ==[ start ]==> (((a a)(a b))(c (a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(c (a (^x.x)))) REDUCED to normal form. ------ 26133/1459146. ------ 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 (^x.x))((a a) a))(b a)) REDUCED to normal form. ------ 26134/1459173. ------ 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 (^y.y))(a (a (a a)))) 6. ==[ alpha ]==> ((a (^x.x))(a (a (a a)))) REDUCED to normal form. ------ 26135/1459200. ------ 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. ------ 26136/1459227. ------ 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)))) REDUCED to normal form. ------ 26137/1459254. ------ 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 (^x.x)))((a a) a)) REDUCED to normal form. ------ 26138/1459272. ------ 1. ==[ start ]==> (((^a.b) b)(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)(a (^y.(y y)))) 3. ==[ beta ]==> (b (a (^y.(y y)))) 4. ==[ alpha ]==> (b (a (^x.(x x)))) REDUCED to normal form. ------ 26139/1459317. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (^a.a))(^a.(^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. ------ 26140/1459344. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((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. ------ 26141/1459398. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^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) REDUCED to normal form. ------ 26142/1459479. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (b ((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) b)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 26143/1459488. ------ 1. ==[ start ]==> (((a b) b)(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(b (^x.(^y.y)))) REDUCED to normal form. ------ 26144/1459515. ------ 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. ------ 26145/1459533. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))(^z.z))) 5. ==[ beta ]==> ((a a)((a (^y.y))(^z.z))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 26146/1459542. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(^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. ------ 26147/1459560. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a a)(^a.(^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. ------ 26148/1459569. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(a (^z.z))) REDUCED to normal form. ------ 26149/1459614. ------ 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 ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((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. ------ 26150/1459623. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 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. ------ 26151/1459650. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(b (^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(b (^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b (^z.z))) 5. ==[ beta ]==> ((^y.(y y))(b (^z.z))) 6. ==[ alpha ]==> ((^x.(x x))(b (^y.y))) 7. ==[ beta ]==> ((b (^y.y))(b (^y.y))) 8. ==[ alpha ]==> ((b (^x.x))(b (^y.y))) REDUCED to normal form. ------ 26152/1459677. ------ 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. ------ 26153/1459695. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a a)(^z.z))) 3. ==[ beta ]==> (b ((a a)(^z.z))) 4. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 26154/1459704. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(a a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 26155/1459731. ------ 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)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 26156/1459767. ------ 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. ------ 26157/1459775. ------ 1. ==[ start ]==> (^a.(b (^b.(a a)))) 2. ==[ alpha ]==> (^x.(b (^y.(x x)))) REDUCED to normal form. ------ 26158/1459776. ------ 1. ==[ start ]==> (a (b (^b.(a a)))) 2. ==[ alpha ]==> (a (b (^x.(a a)))) REDUCED to normal form. ------ 26159/1461489. ------ 1. ==[ start ]==> ((^a.(^a.b))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 26160/1462725. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a))) b) 2. ==[ alpha ]==> (((a a)((^x.x)(a a))) b) 3. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 26161/1462740. ------ 1. ==[ start ]==> ((^a.a)(b (^b.(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. ------ 26162/1462749. ------ 1. ==[ start ]==> ((^a.(^a.a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 26163/1462794. ------ 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. ------ 26164/1462875. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^z.(^x1.x1))(a (a a)))(^y.y)) 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. ------ 26165/1463235. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a b)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a b)(a a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 26166/1463607. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^b.(a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.(a z))) 3. ==[ eta ]==> (((a (^x.x))((^y.y) a)) a) 4. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 26167/1463685. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.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. ------ 26168/1463985. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.(^x1.b))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.b))) REDUCED to normal form. ------ 26169/1464117. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((^y.(^z.z))((^x1.x1)(^y1.y1)))((^y.(^z.z))((^x1.x1)(^y1.y1))))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(^y2.y2))))((^z2.(^x3.x3))((^y3.y3)(^z3.z3)))) 5. ==[ beta ]==> (((^y.y)((^y1.(^z1.z1))((^x2.x2)(^y2.y2))))((^z2.(^x3.x3))((^y3.y3)(^z3.z3)))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1))))((^z1.(^x2.x2))((^y2.y2)(^z2.z2)))) 7. ==[ beta ]==> (((^y.(^z.z))((^x1.x1)(^y1.y1)))((^z1.(^x2.x2))((^y2.y2)(^z2.z2)))) 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. ------ 26170/1464318. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 26171/1464450. ------ 1. ==[ start ]==> ((^a.(^a.b))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 26172/1464453. ------ 1. ==[ start ]==> ((a (^a.b))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 26173/1464606. ------ 1. ==[ start ]==> ((((a a) a)(a a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a a))(^x.(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 26174/1464630. ------ 1. ==[ start ]==> ((^a.(a b))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.x1)) b) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.z)) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 26175/1465092. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 26176/1465200. ------ 1. ==[ start ]==> (((a b)(a a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 26177/1465224. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.a)(a a))) 3. ==[ beta ]==> ((^y.y)(((^z.a)(a a))((^z.a)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.a)(a a))((^z.a)(a a)))) 5. ==[ beta ]==> (((^y.a)(a a))((^z.a)(a a))) 6. ==[ alpha ]==> (((^x.a)(a a))((^y.a)(a a))) 7. ==[ beta ]==> (a ((^y.a)(a a))) 8. ==[ alpha ]==> (a ((^x.a)(a a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 26178/1465434. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^b.c)) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.c)) 3. ==[ beta ]==> (((a a) a)(^y.c)) 4. ==[ alpha ]==> (((a a) a)(^x.c)) REDUCED to normal form. ------ 26179/1465488. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 26180/1465542. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^c.b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 26181/1465596. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^b.b)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 26182/1465623. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^c.(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 26183/1465686. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^a.(^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. ------ 26184/1465707. ------ 1. ==[ start ]==> ((a a)(b (^b.(a a)))) 2. ==[ alpha ]==> ((a a)(b (^x.(a a)))) REDUCED to normal form. ------ 26185/1465716. ------ 1. ==[ start ]==> ((a (^a.a))((a a)((^a.a)(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. ------ 26186/1465752. ------ 1. ==[ start ]==> (((a a) a)(((^a.a)(a a))(^a.a))) 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. ------ 26187/1465761. ------ 1. ==[ start ]==> ((a b)((^b.(a a))(a a))) 2. ==[ alpha ]==> ((a b)((^x.(a a))(a a))) 3. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 26188/1465779. ------ 1. ==[ start ]==> (((a a)(^a.a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 26189/1465806. ------ 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. ------ 26190/1465833. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 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. ------ 26191/1465842. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 26192/1465860. ------ 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. ------ 26193/1465914. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(^x1.b))) REDUCED to normal form. ------ 26194/1465941. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.(a a)))) REDUCED to normal form. ------ 26195/1465977. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 26196/1465995. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a b) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a b) b)) 3. ==[ beta ]==> ((^y.y)((a b) b)) 4. ==[ alpha ]==> ((^x.x)((a b) b)) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 26197/1466004. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 26198/1466148. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(b (a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 26199/1466184. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(a a)) a)) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a)) a)) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a)) a)) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 26200/1466202. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a b)(a a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a b)(a a))) REDUCED to normal form. ------ 26201/1466310. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((^y.y) a)((^z.z)(^x1.x1)))(((^y.y) a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 8. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 9. ==[ beta ]==> ((a (^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 10. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((^z.z)(^x1.x1)))) 11. ==[ beta ]==> ((a (^x.x))(a ((^z.z)(^x1.x1)))) 12. ==[ alpha ]==> ((a (^x.x))(a ((^y.y)(^z.z)))) 13. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 14. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 26202/1466337. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((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. ------ 26203/1466400. ------ 1. ==[ start ]==> (((a (a a)) a)((a b)(^a.a))) 2. ==[ alpha ]==> (((a (a a)) a)((a b)(^x.x))) REDUCED to normal form. ------ 26204/1466427. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 26205/1466454. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.a)) 6. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.a)) REDUCED to normal form. ------ 26206/1466481. ------ 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. ------ 26207/1466508. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((^a.a) a)(^b.(^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. ------ 26208/1466544. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 26209/1466571. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.z)(a b))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(a b))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(a b))) 5. ==[ beta ]==> (((a (^x.x)) a)(a b)) REDUCED to normal form. ------ 26210/1466598. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.b)(^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.b)(^z.z))) 5. ==[ beta ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 26211/1466616. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((a a) a) b)) 2. ==[ alpha ]==> (((^x.(x x)) b)(((a a) a) b)) 3. ==[ beta ]==> ((b b)(((a a) a) b)) REDUCED to normal form. ------ 26212/1466652. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 26213/1466742. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^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. ------ 26214/1466778. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.b) a)) 3. ==[ beta ]==> (((^y.y) a)((^z.b) a)) 4. ==[ alpha ]==> (((^x.x) a)((^y.b) a)) 5. ==[ beta ]==> (a ((^y.b) a)) 6. ==[ alpha ]==> (a ((^x.b) a)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 26215/1466796. ------ 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. ------ 26216/1466805. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.a) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a) b)) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 26217/1466823. ------ 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 (^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. ------ 26218/1466832. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 26219/1466877. ------ 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)(a (a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a)(a (a a)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (a (a a)))) REDUCED to normal form. ------ 26220/1466949. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(a (^z.b))) 3. ==[ beta ]==> (((a a)(^y.y))(a (^z.b))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.b))) REDUCED to normal form. ------ 26221/1467003. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.(^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)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(a (^x1.x1)))) 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. ------ 26222/1467030. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((a (a a))(a (^x.x)))(a ((^z.z) a))) 6. ==[ alpha ]==> (((a (a a))(a (^x.x)))(a ((^y.y) a))) 7. ==[ beta ]==> (((a (a a))(a (^x.x)))(a a)) REDUCED to normal form. ------ 26223/1467057. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(a (a a)))) 5. ==[ beta ]==> ((a a)((^y.a)(a (a a)))) 6. ==[ alpha ]==> ((a a)((^x.a)(a (a a)))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 26224/1467084. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a) a))(^y.y)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 26225/1467255. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a) a)(b ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a) a)(b ((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a a) a)(b (^y.y))) 6. ==[ alpha ]==> (((a a) a)(b (^x.x))) REDUCED to normal form. ------ 26226/1467282. ------ 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)(a ((a a) a))) 4. ==[ alpha ]==> ((^x.x)(a ((a a) a))) 5. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 26227/1467291. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 26228/1467318. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.(^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)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 26229/1467336. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a (a a))(a (^z.z)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a (a a))(a (^z.z)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (a a))(a (^z.z)))) 5. ==[ beta ]==> ((a ((^y.y) a))((a (a a))(a (^z.z)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a (a a))(a (^y.y)))) 7. ==[ beta ]==> ((a a)((a (a a))(a (^y.y)))) 8. ==[ alpha ]==> ((a a)((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 26230/1467345. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(a a)) c)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(y y)) c)) 3. ==[ beta ]==> (((a (a a))(^x.a))(c c)) REDUCED to normal form. ------ 26231/1467417. ------ 1. ==[ start ]==> ((a (^a.b))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (^x.b))((a a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.b))((a a)(^y.y))) REDUCED to normal form. ------ 26232/1467462. ------ 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.y1))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 26233/1467489. ------ 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 (^z.z)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> ((a (a (a a)))((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> ((a (a (a a)))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 26234/1467516. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a (a a)) a)((^y.a)((^z.z) a))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.a)((^y.y) a))) 5. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 26235/1467543. ------ 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.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. ------ 26236/1467570. ------ 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))((^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. ------ 26237/1467588. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b) 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. ------ 26238/1467597. ------ 1. ==[ start ]==> ((a (a b))((^b.(^a.a))(^a.a))) 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. ------ 26239/1467687. ------ 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. ------ 26240/1467750. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(a a)) b)) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(x x)) b)) 3. ==[ beta ]==> ((((a a) a) b)(b b)) REDUCED to normal form. ------ 26241/1467768. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 26242/1467777. ------ 1. ==[ start ]==> (((a b) a)((^b.a) c)) 2. ==[ alpha ]==> (((a b) a)((^x.a) c)) 3. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 26243/1467795. ------ 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 (^x.x)) a)) REDUCED to normal form. ------ 26244/1467822. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)(a (a a)))) 5. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 26245/1467858. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 26246/1467885. ------ 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. ------ 26247/1467912. ------ 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 REDUCED to normal form. ------ 26248/1467939. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)(^z.(z z)))) REDUCED to normal form. ------ 26249/1467966. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (a a)) a)) 2. ==[ alpha ]==> (((a b)(^x.x))((a (a a)) a)) REDUCED to normal form. ------ 26250/1468002. ------ 1. ==[ start ]==> (((a a)(a b))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 26251/1468029. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 26252/1468056. ------ 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.(y1 y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(z z)))) 7. ==[ beta ]==> ((a (^x.x))(^z.(z z))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 26253/1468137. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(b (^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(b (^y.a))) REDUCED to normal form. ------ 26254/1468164. ------ 1. ==[ start ]==> (((a b)(a a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))(a (^x.(x x)))) REDUCED to normal form. ------ 26255/1468191. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.a)(a a))) 3. ==[ beta ]==> ((a (a a))((^y.a)(a a))) 4. ==[ alpha ]==> ((a (a a))((^x.a)(a a))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 26256/1468200. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(c b)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c b)) 3. ==[ beta ]==> ((^y.(a a))(c b)) 4. ==[ alpha ]==> ((^x.(a a))(c b)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 26257/1468227. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(b c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(b c)) 3. ==[ beta ]==> ((^y.y)(b c)) 4. ==[ alpha ]==> ((^x.x)(b c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 26258/1468281. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(c (a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(c (a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(c (a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c (a a))) 5. ==[ beta ]==> ((^y.y)(c (a a))) 6. ==[ alpha ]==> ((^x.x)(c (a a))) 7. ==[ beta ]==> (c (a a)) REDUCED to normal form. ------ 26259/1468362. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1))(a a))) 3. ==[ beta ]==> (b ((a (^x1.x1))(a a))) 4. ==[ alpha ]==> (b ((a (^x.x))(a a))) REDUCED to normal form. ------ 26260/1468371. ------ 1. ==[ start ]==> (((a b) b)((^a.(^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. ------ 26261/1468425. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 26262/1468443. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(b b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(b b)) 3. ==[ beta ]==> ((^y.y)(b b)) 4. ==[ alpha ]==> ((^x.x)(b b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 26263/1468452. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 26264/1468497. ------ 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. ------ 26265/1468506. ------ 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. ------ 26266/1468533. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z)) a)) 7. ==[ beta ]==> (((^y.(^z.z)) a)((^y.(^z.z)) a)) 8. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1)) a)) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 11. ==[ beta ]==> ((^y.(^z.z)) a) 12. ==[ alpha ]==> ((^x.(^y.y)) a) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 26267/1468560. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.a) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y) b)) 3. ==[ beta ]==> ((((a a) a)(^x.a)) b) REDUCED to normal form. ------ 26268/1468578. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(b a)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(b a)) 3. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 26269/1468587. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 26270/1468614. ------ 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. ------ 26271/1468650. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(a (^a.a))) 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. ------ 26272/1468923. ------ 1. ==[ start ]==> ((^a.(^b.a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (^x.(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 26273/1471650. ------ 1. ==[ start ]==> ((^a.(^a.a))(b (^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 26274/1471695. ------ 1. ==[ start ]==> ((^a.b)(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.b)(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 26275/1471731. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b)(a (^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 26276/1471776. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((^z.z)(^x1.x1))(^y1.(y1 y1)))(^y.y)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.x1)) 5. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.x1)) 6. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.z)) 7. ==[ beta ]==> ((^y.(y y))(^z.z)) 8. ==[ alpha ]==> ((^x.(x x))(^y.y)) 9. ==[ beta ]==> ((^y.y)(^y.y)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 26277/1471893. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^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 ]==> (^x.((^z.z)(a a))) 6. ==[ alpha ]==> (^x.((^y.y)(a a))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 26278/1471896. ------ 1. ==[ start ]==> ((a (^b.a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.a))(^y.(a a))) REDUCED to normal form. ------ 26279/1472121. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> ((a (^y.y))(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.((^z.z)(y y)))) 5. ==[ beta ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 26280/1472310. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^c.(a b))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(a b))) 3. ==[ beta ]==> ((a b)(^y.(a b))) 4. ==[ alpha ]==> ((a b)(^x.(a b))) REDUCED to normal form. ------ 26281/1472328. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(z z)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(z z)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(y y)))) 7. ==[ beta ]==> (^y.(^z.(y y))) 8. ==[ alpha ]==> (^x.(^y.(x x))) REDUCED to normal form. ------ 26282/1472460. ------ 1. ==[ start ]==> ((^a.(^b.(^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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 26283/1472715. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^a.(a 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))) REDUCED to normal form. ------ 26284/1473018. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^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)))) 4. ==[ alpha ]==> ((((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1))))((a (^x2.x2))(^y2.(^z2.z2)))) REDUCED to normal form. ------ 26285/1473057. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 26286/1473219. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 26287/1473228. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.((x1 x1) x1))) REDUCED to normal form. ------ 26288/1473351. ------ 1. ==[ start ]==> ((^a.(^a.b))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 26289/1473531. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y)(^z.z)) a)) 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. ------ 26290/1473894. ------ 1. ==[ start ]==> (((^a.b)(a a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(a (a a)))) 3. ==[ beta ]==> (b (^y.(a (a a)))) 4. ==[ alpha ]==> (b (^x.(a (a a)))) REDUCED to normal form. ------ 26291/1473918. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (^y.(((^z.(z z))(^x1.x1))((^z.(z z))(^x1.x1)))) 4. ==[ alpha ]==> (^x.(((^y.(y y))(^z.z))((^x1.(x1 x1))(^y1.y1)))) 5. ==[ beta ]==> (^x.(((^z.z)(^z.z))((^x1.(x1 x1))(^y1.y1)))) 6. ==[ alpha ]==> (^x.(((^y.y)(^z.z))((^x1.(x1 x1))(^y1.y1)))) 7. ==[ beta ]==> (^x.((^z.z)((^x1.(x1 x1))(^y1.y1)))) 8. ==[ alpha ]==> (^x.((^y.y)((^z.(z z))(^x1.x1)))) 9. ==[ beta ]==> (^x.((^z.(z z))(^x1.x1))) 10. ==[ alpha ]==> (^x.((^y.(y y))(^z.z))) 11. ==[ beta ]==> (^x.((^z.z)(^z.z))) 12. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 13. ==[ beta ]==> (^x.(^z.z)) 14. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 26292/1474092. ------ 1. ==[ start ]==> (((^a.b) b)(^c.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) b)(^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. ------ 26293/1474125. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((((^z.z) a)(^x1.x1))(((^z.z) a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((((^y.y) a)(^z.z))(((^x1.x1) a)(^y1.y1)))) 5. ==[ beta ]==> ((((^y.y) a)(^z.z))(((^x1.x1) a)(^y1.y1))) 6. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z) a)(^x1.x1))) 7. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.z))) 9. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 10. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 26294/1474353. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.(^x1.z))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.z))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.y))) 5. ==[ beta ]==> ((a a)(^y.(^z.y))) 6. ==[ alpha ]==> ((a a)(^x.(^y.x))) REDUCED to normal form. ------ 26295/1474470. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.(x1 (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(z (^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(z (^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(y (^z.z)))) 7. ==[ beta ]==> ((^y.(y (^z.z)))(^y.(y (^z.z)))) 8. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.(z (^x1.x1)))) 9. ==[ beta ]==> ((^z.(z (^x1.x1)))(^y.y)) 10. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.z)) 11. ==[ beta ]==> ((^z.z)(^y.y)) 12. ==[ alpha ]==> ((^x.x)(^y.y)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 26296/1474497. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^c.(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(a a))) REDUCED to normal form. ------ 26297/1474515. ------ 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 (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 26298/1474551. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^a.b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.b)) 3. ==[ beta ]==> (((a a)(^y.y))(^z.b)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.b)) REDUCED to normal form. ------ 26299/1474587. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^b.a)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.a)) 3. ==[ beta ]==> (((a a)(a a))(^y.a)) 4. ==[ alpha ]==> (((a a)(a a))(^x.a)) REDUCED to normal form. ------ 26300/1474626. ------ 1. ==[ start ]==> ((a (^a.a))(b (^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(b (^y.(a a)))) REDUCED to normal form. ------ 26301/1474635. ------ 1. ==[ start ]==> (((^a.a) a)((a a)((^a.a)(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. ------ 26302/1474671. ------ 1. ==[ start ]==> ((a b)(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((a b)(((^x.x)(a a))(^y.y))) 3. ==[ beta ]==> ((a b)((a a)(^y.y))) 4. ==[ alpha ]==> ((a b)((a a)(^x.x))) REDUCED to normal form. ------ 26303/1474680. ------ 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))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 26304/1474707. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 26305/1474725. ------ 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. ------ 26306/1474752. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (a (^x.x)))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.(z z))) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.(y y))) REDUCED to normal form. ------ 26307/1474761. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((^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. ------ 26308/1474788. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(x1 x1))((^y1.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. ------ 26309/1474815. ------ 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))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 26310/1474842. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 26311/1474869. ------ 1. ==[ start ]==> ((a (^b.a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.a))((^z.z)(a a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)(a a))) 5. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 26312/1474887. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(a a)) a)) 3. ==[ beta ]==> (((a a)(a (^x.x)))((a a) a)) REDUCED to normal form. ------ 26313/1474914. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a b) b)) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a b) b)) REDUCED to normal form. ------ 26314/1474950. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((^y.a)((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((^x.a)((^y.a)(^z.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 26315/1474977. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.(^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. ------ 26316/1475031. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((^y.y) a)((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.a)(^z.a))) 5. ==[ beta ]==> (a ((^y.a)(^z.a))) 6. ==[ alpha ]==> (a ((^x.a)(^y.a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 26317/1475040. ------ 1. ==[ start ]==> (((a a)(^b.a))(c ((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))(c ((a a) a))) REDUCED to normal form. ------ 26318/1475058. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 26319/1475067. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(b (a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (a b))) REDUCED to normal form. ------ 26320/1475094. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(a ((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^y.y))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(a ((^y.y)(a a)))) 5. ==[ beta ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 26321/1475130. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.b) b)) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.b) b)) 3. ==[ beta ]==> (((a a) a)((^y.b) b)) 4. ==[ alpha ]==> (((a a) a)((^x.b) b)) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 26322/1475202. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a (a a))(a (a a)))) 3. ==[ beta ]==> ((a a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 26323/1475247. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(c (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(c (^x1.a))) 3. ==[ beta ]==> ((^y.y)(c (^x1.a))) 4. ==[ alpha ]==> ((^x.x)(c (^y.a))) 5. ==[ beta ]==> (c (^y.a)) 6. ==[ alpha ]==> (c (^x.a)) REDUCED to normal form. ------ 26324/1475283. ------ 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. ------ 26325/1475301. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(a (^z.(a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(a (^z.(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. ------ 26326/1475328. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.b)(a a))) 3. ==[ beta ]==> ((a (a a))((^y.b)(a a))) 4. ==[ alpha ]==> ((a (a a))((^x.b)(a a))) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 26327/1475409. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(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. ------ 26328/1475436. ------ 1. ==[ start ]==> ((a (^b.(^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))) a) REDUCED to normal form. ------ 26329/1475481. ------ 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 (^x.x)) a)((a a)(^z.b))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a a)(^y.b))) REDUCED to normal form. ------ 26330/1475508. ------ 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. ------ 26331/1475535. ------ 1. ==[ start ]==> (((a (a a))(a a))(((a a) a) b)) REDUCED to normal form. ------ 26332/1475571. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 26333/1475598. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 26334/1475661. ------ 1. ==[ start ]==> (((a (a a)) b)(b ((a a) a))) REDUCED to normal form. ------ 26335/1475688. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(a (a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(a (a b))) 3. ==[ beta ]==> (((^y.y) a)(a (a b))) 4. ==[ alpha ]==> (((^x.x) a)(a (a b))) 5. ==[ beta ]==> (a (a (a b))) REDUCED to normal form. ------ 26336/1475715. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a)(a a))) REDUCED to normal form. ------ 26337/1475742. ------ 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)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a (^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a (^z.z))) REDUCED to normal form. ------ 26338/1475769. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (a a))((^z.z) a))) 3. ==[ beta ]==> ((a (^y.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. ------ 26339/1475796. ------ 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. ------ 26340/1475823. ------ 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.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 9. ==[ beta ]==> ((a (^x.x))(^z.z)) 10. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 26341/1475886. ------ 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. ------ 26342/1475913. ------ 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)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x) 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. ------ 26343/1475940. ------ 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. ------ 26344/1475967. ------ 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.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^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)))) 7. ==[ beta ]==> ((a a)(a (^y.(y y)))) 8. ==[ alpha ]==> ((a a)(a (^x.(x x)))) REDUCED to normal form. ------ 26345/1475994. ------ 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. ------ 26346/1476030. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 26347/1476084. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 26348/1476165. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 26349/1476201. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a ((a a) a))) REDUCED to normal form. ------ 26350/1476228. ------ 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.x1))(a a))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^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. ------ 26351/1476255. ------ 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. ------ 26352/1476282. ------ 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.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) a)((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)((^y1.y1) a))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((^x1.x1) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 26353/1476309. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 26354/1476327. ------ 1. ==[ start ]==> ((a (^a.b))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(b (^y.(^z.z)))) REDUCED to normal form. ------ 26355/1476372. ------ 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))(^z1.z1))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 8. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 26356/1476399. ------ 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. ------ 26357/1476426. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x) 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. ------ 26358/1476453. ------ 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.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 26359/1476480. ------ 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. ------ 26360/1476507. ------ 1. ==[ start ]==> ((a (a b))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((a (a b))(((^x.x)(^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. ------ 26361/1476516. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 26362/1476597. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(^y1.(y1 y1)))) IRREDUCIBLE: cycle. ------ 26363/1476660. ------ 1. ==[ start ]==> ((((a a) a) b)((a (a a))(a a))) REDUCED to normal form. ------ 26364/1476687. ------ 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. ------ 26365/1476705. ------ 1. ==[ start ]==> (((^a.a)(a b))(c (^b.a))) 2. ==[ alpha ]==> (((^x.x)(a b))(c (^y.a))) 3. ==[ beta ]==> ((a b)(c (^y.a))) 4. ==[ alpha ]==> ((a b)(c (^x.a))) REDUCED to normal form. ------ 26366/1476714. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.b))((a (^y.y)) a)) REDUCED to normal form. ------ 26367/1476732. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(b (^z.(z z)))) 3. ==[ beta ]==> ((^y.y)(b (^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(y y)))) 5. ==[ beta ]==> (b (^y.(y y))) 6. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 26368/1476786. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(y y))(a a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(y y))(a a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(x x))(a a))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((a a)(a a))) REDUCED to normal form. ------ 26369/1476822. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(c c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(c c)) 3. ==[ beta ]==> (((^y.y)(^z.a))(c c)) 4. ==[ alpha ]==> (((^x.x)(^y.a))(c c)) 5. ==[ beta ]==> ((^y.a)(c c)) 6. ==[ alpha ]==> ((^x.a)(c c)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 26370/1476867. ------ 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 ((^y.y)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.x)(a (a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 26371/1476894. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((a (^x.(a a)))((^z.z)(^z.z))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.z))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 26372/1476912. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x) a) b)) 3. ==[ beta ]==> (((a a)(a b))(a b)) REDUCED to normal form. ------ 26373/1476993. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(x x)) a)) 3. ==[ beta ]==> (((a (a a))(a (a a)))(a a)) REDUCED to normal form. ------ 26374/1477020. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.a) b)) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.a) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a) b)) 5. ==[ beta ]==> (((^y.y) a)((^z.a) b)) 6. ==[ alpha ]==> (((^x.x) a)((^y.a) b)) 7. ==[ beta ]==> (a ((^y.a) b)) 8. ==[ alpha ]==> (a ((^x.a) b)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 26375/1477065. ------ 1. ==[ start ]==> (((^a.b) b)((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 26376/1477101. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)(^z.z))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a)(^y.y))) 5. ==[ beta ]==> ((a (a a))(a (^y.y))) 6. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 26377/1477110. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)(a a))) 3. ==[ beta ]==> ((^y.(a a))((^z.a)(a a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.a)(a a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 26378/1477137. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(^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. ------ 26379/1477191. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.z1))) 5. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.z1))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.z))) 7. ==[ beta ]==> ((^y.a)(^z.z)) 8. ==[ alpha ]==> ((^x.a)(^y.y)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 26380/1477272. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(c (^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c (^x1.x1))) 3. ==[ beta ]==> (b (c (^x1.x1))) 4. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 26381/1477281. ------ 1. ==[ start ]==> (((a b) b)((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a b) b)((a (^x.x))(a a))) REDUCED to normal form. ------ 26382/1477308. ------ 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. ------ 26383/1477326. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(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. ------ 26384/1477335. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(c a)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(c a)) REDUCED to normal form. ------ 26385/1477353. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(^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. ------ 26386/1477362. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(b b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(b b)) REDUCED to normal form. ------ 26387/1477407. ------ 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.y1))(^z1.z1))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.x2))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.x2))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.z1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.y1))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.y1))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 26388/1477416. ------ 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. ------ 26389/1477443. ------ 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 ]==> (((^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. ------ 26390/1477470. ------ 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. ------ 26391/1477488. ------ 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 (a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 26392/1477497. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(b a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b a)) REDUCED to normal form. ------ 26393/1477524. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(a b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(a b)) 3. ==[ beta ]==> (((a a)(^y.y))(a b)) 4. ==[ alpha ]==> (((a a)(^x.x))(a b)) REDUCED to normal form. ------ 26394/1477560. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.a) 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)) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 26395/1477586. ------ 1. ==[ start ]==> (^a.((a (^a.a))(a b))) 2. ==[ alpha ]==> (^x.((x (^y.y))(x b))) REDUCED to normal form. ------ 26396/1477587. ------ 1. ==[ start ]==> (a ((a (^a.a))(a b))) 2. ==[ alpha ]==> (a ((a (^x.x))(a b))) REDUCED to normal form. ------ 26397/1477842. ------ 1. ==[ start ]==> ((^a.(^b.a))(^c.(^b.(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. ------ 26398/1480563. ------ 1. ==[ start ]==> (((a (^a.a))(a b)) a) 2. ==[ alpha ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 26399/1480569. ------ 1. ==[ start ]==> ((^a.a)((a (^a.a))(a b))) 2. ==[ alpha ]==> ((^x.x)((a (^y.y))(a b))) 3. ==[ beta ]==> ((a (^y.y))(a b)) 4. ==[ alpha ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 26400/1480596. ------ 1. ==[ start ]==> ((^a.(a a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)((^y.y)(a a)))((a a)((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a a)((^y.y)(a a)))) 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. ------ 26401/1480659. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 26402/1480821. ------ 1. ==[ start ]==> ((^a.(^b.a))((a a)(^b.(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. ------ 26403/1480824. ------ 1. ==[ start ]==> ((a (^b.a))(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(a a)))) REDUCED to normal form. ------ 26404/1481049. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^b.(^b.(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. ------ 26405/1481064. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(a a)) a)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 26406/1481163. ------ 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. ------ 26407/1481265. ------ 1. ==[ start ]==> (((a (a a)) a)(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.(x x)))) REDUCED to normal form. ------ 26408/1481388. ------ 1. ==[ start ]==> ((^a.(^b.(^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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 26409/1481643. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.(^x1.z))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.z))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.y))) 5. ==[ beta ]==> (a (^y.(^z.y))) 6. ==[ alpha ]==> (a (^x.(^y.x))) REDUCED to normal form. ------ 26410/1481985. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^c.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 26411/1482156. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.a))) REDUCED to normal form. ------ 26412/1482453. ------ 1. ==[ start ]==> (((^a.b) a)(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 26413/1482723. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 26414/1482822. ------ 1. ==[ start ]==> (((^a.b)(a a))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(^z.(z z)))) 3. ==[ beta ]==> (b (^y.(^z.(z z)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 26415/1482831. ------ 1. ==[ start ]==> (((a b)(^a.a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(a (a a)))) REDUCED to normal form. ------ 26416/1482846. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (a a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((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))) REDUCED to normal form. ------ 26417/1482948. ------ 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. ------ 26418/1483029. ------ 1. ==[ start ]==> (((a b)(a a))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a a))(^x.((^y.y) a))) 3. ==[ beta ]==> (((a b)(a a))(^x.a)) REDUCED to normal form. ------ 26419/1483281. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^b.c)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.c)) 3. ==[ beta ]==> (((^y.y)(a a))(^z.c)) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.c)) 5. ==[ beta ]==> ((a a)(^y.c)) 6. ==[ alpha ]==> ((a a)(^x.c)) REDUCED to normal form. ------ 26420/1483290. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.y))) REDUCED to normal form. ------ 26421/1483398. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 26422/1483443. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^b.b)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.z)) 3. ==[ beta ]==> (b (^z.z)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 26423/1483452. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 26424/1483479. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.(a a))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 26425/1483515. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^a.(a a))) 2. ==[ alpha ]==> (((a a)((^x.x)(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. ------ 26426/1483542. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^a.a)) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 26427/1483554. ------ 1. ==[ start ]==> ((a a)((a (^a.a))(a b))) 2. ==[ alpha ]==> ((a a)((a (^x.x))(a b))) REDUCED to normal form. ------ 26428/1483572. ------ 1. ==[ start ]==> (((^a.a) a)(b (^b.(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. ------ 26429/1483581. ------ 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. ------ 26430/1483617. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a)(a a))(^a.a))) 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))) 5. ==[ beta ]==> ((a a)((a a)(^y.y))) 6. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 26431/1483626. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(a a))) 3. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 26432/1483644. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 26433/1483653. ------ 1. ==[ start ]==> (((^a.a) b)((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((^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. ------ 26434/1483698. ------ 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 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 26435/1483707. ------ 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. ------ 26436/1483725. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 26437/1483734. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x)) a)((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(^z.z))) 9. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 10. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 26438/1483761. ------ 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. ------ 26439/1483779. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.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. ------ 26440/1483788. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 26441/1483806. ------ 1. ==[ start ]==> ((a (^b.a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((a a)(^y.(a a)))) REDUCED to normal form. ------ 26442/1483842. ------ 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)((^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. ------ 26443/1483887. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((a a) a) c)) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((a a) a) c)) 3. ==[ beta ]==> ((^y.a)(((a a) a) c)) 4. ==[ alpha ]==> ((^x.a)(((a a) a) c)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 26444/1483923. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.(^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. ------ 26445/1483950. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^y.(^z.z)))) 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. ------ 26446/1483977. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 26447/1484004. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(^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. ------ 26448/1484031. ------ 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 (^x.x))(^z.(a a))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 26449/1484049. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(a a)) a)) 3. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 26450/1484067. ------ 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. ------ 26451/1484094. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a) a)(a (^z.z)))) REDUCED to normal form. ------ 26452/1484121. ------ 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))((^y.y)((^z.z) a))) 6. ==[ alpha ]==> ((a (a a))((^x.x)((^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. ------ 26453/1484148. ------ 1. ==[ start ]==> ((a (a (a a)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 26454/1484220. ------ 1. ==[ start ]==> ((((^a.a) a) b)(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a) b)(b (^y.b))) 3. ==[ beta ]==> ((a b)(b (^y.b))) 4. ==[ alpha ]==> ((a b)(b (^x.b))) REDUCED to normal form. ------ 26455/1484247. ------ 1. ==[ start ]==> (((a (a a)) a)(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)(a (^x.(a a)))) REDUCED to normal form. ------ 26456/1484265. ------ 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. ------ 26457/1484274. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.b)(a a))) 3. ==[ beta ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 26458/1484292. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^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. ------ 26459/1484301. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 26460/1484328. ------ 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. ------ 26461/1484346. ------ 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 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. ------ 26462/1484355. ------ 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. ------ 26463/1484373. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 26464/1484463. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.b)(^z.z))) 3. ==[ beta ]==> ((b b)((^y.b)(^z.z))) 4. ==[ alpha ]==> ((b b)((^x.b)(^y.y))) 5. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 26465/1484508. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1)) c)) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1)) c)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1)) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 26466/1484598. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(^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. ------ 26467/1484625. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.z)(^x1.b))) 3. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.b))) 5. ==[ beta ]==> (a ((^y.y)(^z.b))) 6. ==[ alpha ]==> (a ((^x.x)(^y.b))) 7. ==[ beta ]==> (a (^y.b)) 8. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 26468/1484643. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b) a)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b) a)) 5. ==[ beta ]==> ((^y.y)((^z.b) a)) 6. ==[ alpha ]==> ((^x.x)((^y.b) a)) 7. ==[ beta ]==> ((^y.b) a) 8. ==[ alpha ]==> ((^x.b) a) 9. ==[ beta ]==> b REDUCED to normal form. ------ 26469/1484796. ------ 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)(^y.y))((a a)((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)((a a) a))) REDUCED to normal form. ------ 26470/1484967. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 26471/1485021. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z)(^x1.x1)) b)) 5. ==[ beta ]==> (a (((^z.z)(^x1.x1)) 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. ------ 26472/1485057. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((^y.y) b)((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(y y))(^z.a))) 5. ==[ beta ]==> (b ((^y.(y y))(^z.a))) 6. ==[ alpha ]==> (b ((^x.(x x))(^y.a))) 7. ==[ beta ]==> (b ((^y.a)(^y.a))) 8. ==[ alpha ]==> (b ((^x.a)(^y.a))) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 26473/1485084. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.a)(^y.(y y)))) 3. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 26474/1485138. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.a)) REDUCED to normal form. ------ 26475/1485183. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.(^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)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 26476/1485282. ------ 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. ------ 26477/1485435. ------ 1. ==[ start ]==> (((^a.b) a)((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 26478/1485453. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.b)(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z)) a)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 26479/1485615. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^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. ------ 26480/1485642. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.a) c)) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 26481/1485651. ------ 1. ==[ start ]==> (((a a)(^a.b))(c (^b.a))) 2. ==[ alpha ]==> (((a a)(^x.b))(c (^y.a))) REDUCED to normal form. ------ 26482/1485705. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 26483/1485723. ------ 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. ------ 26484/1485732. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(y y))(a a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((a a)(a a))) REDUCED to normal form. ------ 26485/1485759. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.a)((^z.a)(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)((^y.a)(a (^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 26486/1485786. ------ 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) 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. ------ 26487/1485804. ------ 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 a)(^y.(y y)))) 4. ==[ alpha ]==> (b ((a a)(^x.(x x)))) REDUCED to normal form. ------ 26488/1485813. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.x))(a (a a))) REDUCED to normal form. ------ 26489/1485831. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (a a)) a)) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (a a)) a)) REDUCED to normal form. ------ 26490/1485903. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(b ((^x1.x1) a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(b ((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(b ((^z.z) a))) 5. ==[ beta ]==> ((a (^y.y))(b ((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.x))(b ((^y.y) a))) 7. ==[ beta ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 26491/1485930. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(a (a (a a)))) REDUCED to normal form. ------ 26492/1485957. ------ 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) a)(a a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1) a)(a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) a)(a a))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z) a)(a a))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(a a))) 7. ==[ beta ]==> (a (((^y.y) a)(a a))) 8. ==[ alpha ]==> (a (((^x.x) a)(a a))) 9. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 26493/1485984. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 26494/1486002. ------ 1. ==[ start ]==> (((^a.b) b)(b (^b.a))) 2. ==[ alpha ]==> (((^x.b) b)(b (^y.a))) 3. ==[ beta ]==> (b (b (^y.a))) 4. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 26495/1486011. ------ 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. ------ 26496/1486047. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y) a)(^z.z))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 26497/1486074. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (^a.a))(^a.(^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. ------ 26498/1486128. ------ 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))(^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. ------ 26499/1486209. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a) a)) 3. ==[ beta ]==> (b ((^x1.a) a)) 4. ==[ alpha ]==> (b ((^x.a) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 26500/1486218. ------ 1. ==[ start ]==> (((a b) b)(c (^a.a))) 2. ==[ alpha ]==> (((a b) b)(c (^x.x))) REDUCED to normal form. ------ 26501/1486245. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(b (^y.(^z.z)))) 3. ==[ beta ]==> (((a a) a)(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 26502/1486272. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(a (^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(a (^y.a))) REDUCED to normal form. ------ 26503/1486290. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((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. ------ 26504/1486299. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(^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. ------ 26505/1486344. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a (^x1.x1)) a)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a (^x1.x1)) a)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1)) a)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.y1)) a)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1)) a)) 7. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1)) a)) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z)) a)) 9. ==[ beta ]==> ((^y.y)((a (^z.z)) a)) 10. ==[ alpha ]==> ((^x.x)((a (^y.y)) a)) 11. ==[ beta ]==> ((a (^y.y)) a) 12. ==[ alpha ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 26506/1486353. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 26507/1486380. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y.y)(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 9. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 10. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.y1)))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 26508/1486407. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(b (^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(b (^y.y))) REDUCED to normal form. ------ 26509/1486425. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.a) b)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.z) b)) 3. ==[ beta ]==> (b ((^z.z) b)) 4. ==[ alpha ]==> (b ((^x.x) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 26510/1486434. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 26511/1486461. ------ 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)(^x.x))(a a)) REDUCED to normal form. ------ 26512/1486497. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(a (a a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(a (a a))) 3. ==[ beta ]==> (((a a)(a a))(a (a a))) REDUCED to normal form. ------ 26513/1486524. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(a a)) 2. ==[ alpha ]==> (((a (^x.x))(a b))(a a)) REDUCED to normal form. ------ 26514/1486590. ------ 1. ==[ start ]==> ((^a.b)(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 26515/1487031. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 26516/1488426. ------ 1. ==[ start ]==> ((^a.(a b))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.((^z.z)(^x1.x1))) b) 4. ==[ alpha ]==> ((^x.((^y.y)(^z.z))) b) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 26517/1489020. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(x1 x1)))(^z.(^x1.(x1 x1))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(z z)))(^x1.(^y1.(y1 y1))))) 5. ==[ beta ]==> ((^y.(^z.(z z)))(^x1.(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(^x1.(x1 x1)))) 7. ==[ beta ]==> (^y.(y y)) 8. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 26518/1489509. ------ 1. ==[ start ]==> (((a (^a.a))(a b)) b) 2. ==[ alpha ]==> (((a (^x.x))(a b)) b) REDUCED to normal form. ------ 26519/1489533. ------ 1. ==[ start ]==> ((^a.(^a.a))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 26520/1489551. ------ 1. ==[ start ]==> ((^a.(a a))(b (^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))(b (^y.(a a)))) 3. ==[ beta ]==> ((b (^y.(a a)))(b (^y.(a a)))) 4. ==[ alpha ]==> ((b (^x.(a a)))(b (^y.(a a)))) REDUCED to normal form. ------ 26521/1489578. ------ 1. ==[ start ]==> ((^a.b)(a (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(a (^y.(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 26522/1489581. ------ 1. ==[ start ]==> ((a b)(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 26523/1489797. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^y.(a a))) REDUCED to normal form. ------ 26524/1489848. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.b)(^x1.(^y1.y1)))) 3. ==[ eta ]==> ((^y.y)((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 26525/1490019. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 26526/1490022. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> ((a (^x.(x x)))(^y.(y y))) REDUCED to normal form. ------ 26527/1490418. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.(a z))) 3. ==[ eta ]==> ((((^x.x) a)(a (^y.y))) a) 4. ==[ beta ]==> ((a (a (^y.y))) a) 5. ==[ alpha ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 26528/1490616. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^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)) REDUCED to normal form. ------ 26529/1490796. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(^z.b))) REDUCED to normal form. ------ 26530/1490901. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.a)(a (a a)))) 3. ==[ beta ]==> ((((^y.a)(a (a a)))((^y.a)(a (a a))))((^y.a)(a (a a)))) 4. ==[ alpha ]==> ((((^x.a)(a (a a)))((^y.a)(a (a a))))((^z.a)(a (a a)))) 5. ==[ beta ]==> ((a ((^y.a)(a (a a))))((^z.a)(a (a a)))) 6. ==[ alpha ]==> ((a ((^x.a)(a (a a))))((^y.a)(a (a a)))) 7. ==[ beta ]==> ((a a)((^y.a)(a (a a)))) 8. ==[ alpha ]==> ((a a)((^x.a)(a (a a)))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 26531/1491234. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 26532/1491408. ------ 1. ==[ start ]==> (((^a.b) a)(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 26533/1491414. ------ 1. ==[ start ]==> ((^a.(a b))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.y)((^z.z)(^x1.x1)))) 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. ------ 26534/1491417. ------ 1. ==[ start ]==> ((a (a b))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a b))(^x.(^z.z))) 4. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 26535/1491786. ------ 1. ==[ start ]==> (((a b)(^a.a))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 26536/1491903. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(^y.(y y)))) REDUCED to normal form. ------ 26537/1492008. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(a (^z.(z z)))) 3. ==[ beta ]==> ((^y.y)((a (^z.(z z)))(a (^z.(z z))))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(y y)))(a (^z.(z z))))) 5. ==[ beta ]==> ((a (^y.(y y)))(a (^z.(z z)))) 6. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.(y y)))) REDUCED to normal form. ------ 26538/1492011. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 26539/1492182. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.b)(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.x1)) 5. ==[ beta ]==> (b (^x1.x1)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 26540/1492245. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^b.c)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.c)) REDUCED to normal form. ------ 26541/1492398. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^c.(a a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(a a))) 3. ==[ beta ]==> (b (^z.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 26542/1492407. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^b.b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 26543/1492470. ------ 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. ------ 26544/1492497. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.z))) REDUCED to normal form. ------ 26545/1492527. ------ 1. ==[ start ]==> ((a (^a.a))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a b))) REDUCED to normal form. ------ 26546/1492545. ------ 1. ==[ start ]==> ((a (a a))(b (^b.(a a)))) 2. ==[ alpha ]==> ((a (a a))(b (^x.(a a)))) REDUCED to normal form. ------ 26547/1492554. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)((^y.y)(a a))) 6. ==[ alpha ]==> ((a a)((^x.x)(a a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 26548/1492572. ------ 1. ==[ start ]==> ((a b)(a (^c.(^a.a)))) 2. ==[ alpha ]==> ((a b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 26549/1492590. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^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. ------ 26550/1492617. ------ 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. ------ 26551/1492626. ------ 1. ==[ start ]==> (((a a)(a a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.b)(a (^y.y)))) 3. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 26552/1492644. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((a a) a)(^z.a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^z.a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.a))) 5. ==[ beta ]==> (((a a) a)(^y.a)) 6. ==[ alpha ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 26553/1492671. ------ 1. ==[ start ]==> (((a a) b)(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a a) b)((^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. ------ 26554/1492698. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 26555/1492752. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(^x1.b))) REDUCED to normal form. ------ 26556/1492788. ------ 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 (^x.x)))((^z.z)(a a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(a a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 26557/1492806. ------ 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)(((^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. ------ 26558/1492815. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 26559/1492842. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 26560/1493013. ------ 1. ==[ start ]==> ((a (^a.(a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(a ((^y.y)(a a)))) 3. ==[ beta ]==> ((a (^x.(x x)))(a (a a))) REDUCED to normal form. ------ 26561/1493121. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (a a))(a (a a)))) 3. ==[ beta ]==> ((^y.(y y))((a (a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.(x x))((a (a a))(a (a a)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 26562/1493148. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^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. ------ 26563/1493202. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a a)(a b))) 3. ==[ beta ]==> (((^y.y)(^y.y))((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. ------ 26564/1493238. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a b)(^y.y))) REDUCED to normal form. ------ 26565/1493265. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 26566/1493292. ------ 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. ------ 26567/1493319. ------ 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. ------ 26568/1493355. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 26569/1493382. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 26570/1493409. ------ 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 (^x.x)))(a b)) REDUCED to normal form. ------ 26571/1493427. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a b) a)) 2. ==[ alpha ]==> (((^x.(x x)) b)((a b) a)) 3. ==[ beta ]==> ((b b)((a b) a)) REDUCED to normal form. ------ 26572/1493436. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.b)(^y.y))) 3. ==[ beta ]==> (((a (a a))(a a)) b) REDUCED to normal form. ------ 26573/1493607. ------ 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. ------ 26574/1493616. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 26575/1493634. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((a a) a)(a a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a a))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 26576/1493670. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z)) c)) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 26577/1493688. ------ 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.z) a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (a a))((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (a a))((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a (a a)) a)) REDUCED to normal form. ------ 26578/1493760. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(b (^z.a))) 3. ==[ beta ]==> (((a a)(^y.y))(b (^z.a))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (^y.a))) REDUCED to normal form. ------ 26579/1493787. ------ 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. ------ 26580/1493841. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 26581/1493868. ------ 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))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> ((a a)((^y.(y y))((^z.z) 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. ------ 26582/1493895. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.a)(a (a a)))) 3. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 26583/1494021. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (a a)) c)) 3. ==[ beta ]==> (((^y.y) b)((a (a a)) c)) 4. ==[ alpha ]==> (((^x.x) b)((a (a a)) c)) 5. ==[ beta ]==> (b ((a (a a)) c)) REDUCED to normal form. ------ 26584/1494093. ------ 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.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(b ((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((^y.y)(^z.z))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 26585/1494147. ------ 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 ]==> ((((^y.y) a)((^y.y) a))(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(^x1.x1))(a a))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(^x1.x1))(a a))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(^z.z))(a a))) 7. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(a a))) 8. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(a a))) 9. ==[ beta ]==> ((a a)((^y.y)(a a))) 10. ==[ alpha ]==> ((a a)((^x.x)(a a))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 26586/1494156. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.(^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. ------ 26587/1494228. ------ 1. ==[ start ]==> ((a (^a.b))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.b))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 26588/1494246. ------ 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. ------ 26589/1494300. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(^z.z))(a a))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))(a a))) 5. ==[ beta ]==> ((a (a (a a)))(^y.y)) 6. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 26590/1494327. ------ 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 (^z.z)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> (((a (a a)) a)((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> (((a (a a)) a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 26591/1494354. ------ 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.y1) a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> ((a (^y.y))((^z.a)((^x1.x1) a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)((^z.z) a))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 26592/1494381. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 26593/1494399. ------ 1. ==[ start ]==> (((^a.b) a)((a a)(^b.(^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. ------ 26594/1494408. ------ 1. ==[ start ]==> ((a (a b))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.x)((^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. ------ 26595/1494561. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y)) a)) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 26596/1494579. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a (a a))(a a))) 3. ==[ beta ]==> (b ((a (a a))(a a))) REDUCED to normal form. ------ 26597/1494588. ------ 1. ==[ start ]==> (((a b) a)((^a.(a a)) b)) 2. ==[ alpha ]==> (((a b) a)((^x.(x x)) b)) 3. ==[ beta ]==> (((a b) a)(b b)) REDUCED to normal form. ------ 26598/1494606. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 26599/1494615. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.a) c)) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.a) c)) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 26600/1494633. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((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. ------ 26601/1494696. ------ 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. ------ 26602/1494723. ------ 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. ------ 26603/1494750. ------ 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. ------ 26604/1494777. ------ 1. ==[ start ]==> (((a b)(^a.a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((a a)(^y.(y y)))) REDUCED to normal form. ------ 26605/1494813. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(x x))(^y.y))) 3. ==[ beta ]==> (((a a)(a b))((^y.y)(^y.y))) 4. ==[ alpha ]==> (((a a)(a b))((^x.x)(^y.y))) 5. ==[ beta ]==> (((a a)(a b))(^y.y)) 6. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 26606/1494840. ------ 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)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) a) REDUCED to normal form. ------ 26607/1494867. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.(^a.a))(^b.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. ------ 26608/1494894. ------ 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)))) 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. ------ 26609/1494966. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(^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. ------ 26610/1494975. ------ 1. ==[ start ]==> (((a b)(a a))(b (^b.a))) 2. ==[ alpha ]==> (((a b)(a a))(b (^x.a))) REDUCED to normal form. ------ 26611/1495002. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(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. ------ 26612/1495038. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(c b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(c b)) 3. ==[ beta ]==> ((^y.y)(c b)) 4. ==[ alpha ]==> ((^x.x)(c b)) 5. ==[ beta ]==> (c b) REDUCED to normal form. ------ 26613/1495173. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a ((^x1.x1) a))) 3. ==[ beta ]==> (b (a ((^x1.x1) a))) 4. ==[ alpha ]==> (b (a ((^x.x) a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 26614/1495182. ------ 1. ==[ start ]==> (((a b) b)((^b.a) a)) 2. ==[ alpha ]==> (((a b) b)((^x.a) a)) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 26615/1495209. ------ 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)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 26616/1495227. ------ 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. ------ 26617/1495236. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.a) c)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y) c)) 3. ==[ beta ]==> (((a a)(^x.(a a))) c) REDUCED to normal form. ------ 26618/1495254. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(c a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(c a)) 3. ==[ beta ]==> ((^y.y)(c a)) 4. ==[ alpha ]==> ((^x.x)(c a)) 5. ==[ beta ]==> (c a) REDUCED to normal form. ------ 26619/1495263. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 26620/1495317. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 26621/1495344. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a a) b)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a) b)) 5. ==[ beta ]==> ((^y.(y y))((a a) b)) 6. ==[ alpha ]==> ((^x.(x x))((a a) b)) 7. ==[ beta ]==> (((a a) b)((a a) b)) REDUCED to normal form. ------ 26622/1495371. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 26623/1495389. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a a)(a a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a a)(a a))) 3. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 26624/1495398. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.a) b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z) b)) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) b) REDUCED to normal form. ------ 26625/1495425. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a a)(^a.a))) 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. ------ 26626/1495461. ------ 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. ------ 26627/1495488. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(a (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(a (^y.y))) REDUCED to normal form. ------ 26628/1496004. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^b.(^b.(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. ------ 26629/1497399. ------ 1. ==[ start ]==> ((^a.(a b))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1))) b) 4. ==[ alpha ]==> ((^x.(^y.(^z.z))) b) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 26630/1497786. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(a (a a)))) 3. ==[ beta ]==> (^y.((^z.(a (a a)))(^z.(a (a a))))) 4. ==[ alpha ]==> (^x.((^y.(a (a a)))(^z.(a (a a))))) 5. ==[ beta ]==> (^x.(a (a a))) REDUCED to normal form. ------ 26631/1498482. ------ 1. ==[ start ]==> (((a (^a.a))(a b)) c) 2. ==[ alpha ]==> (((a (^x.x))(a b)) c) REDUCED to normal form. ------ 26632/1498596. ------ 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. ------ 26633/1498641. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((a a) a)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^z.a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 26634/1498758. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))(a b))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 26635/1498830. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a b) b)) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a b) b)) 3. ==[ eta ]==> ((^y.y)((a b) b)) 4. ==[ alpha ]==> ((^x.x)((a b) b)) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 26636/1499001. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 26637/1499004. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 26638/1499220. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(^z.(y y)))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.(y y)))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.(x x)))) REDUCED to normal form. ------ 26639/1499325. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))(a (a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 26640/1499451. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((a a) a) b)) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 26641/1499598. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.z))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.z))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 7. ==[ beta ]==> (^y.(^z.y)) 8. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 26642/1499607. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^a.(a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(z b))) REDUCED to normal form. ------ 26643/1499883. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (((((^y.y) a)(^z.(z z)))(((^y.y) a)(^z.(z z))))(((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> (((((^x.x) a)(^y.(y y)))(((^z.z) a)(^x1.(x1 x1))))(((^y1.y1) a)(^z1.(z1 z1)))) 5. ==[ beta ]==> (((a (^y.(y y)))(((^z.z) a)(^x1.(x1 x1))))(((^y1.y1) a)(^z1.(z1 z1)))) 6. ==[ alpha ]==> (((a (^x.(x x)))(((^y.y) a)(^z.(z z))))(((^x1.x1) a)(^y1.(y1 y1)))) 7. ==[ beta ]==> (((a (^x.(x x)))(a (^z.(z z))))(((^x1.x1) a)(^y1.(y1 y1)))) 8. ==[ alpha ]==> (((a (^x.(x x)))(a (^y.(y y))))(((^z.z) a)(^x1.(x1 x1)))) 9. ==[ beta ]==> (((a (^x.(x x)))(a (^y.(y y))))(a (^x1.(x1 x1)))) 10. ==[ alpha ]==> (((a (^x.(x x)))(a (^y.(y y))))(a (^z.(z z)))) REDUCED to normal form. ------ 26644/1500120. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.((z z) z))) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.((z z) z))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.((y y) y))) REDUCED to normal form. ------ 26645/1500216. ------ 1. ==[ start ]==> ((^a.(^a.b))(c (^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(c (^z.(z z)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 26646/1500396. ------ 1. ==[ start ]==> ((^a.(a b))((a a)(^b.(^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. ------ 26647/1500399. ------ 1. ==[ start ]==> ((a (a b))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 26648/1500408. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 26649/1500552. ------ 1. ==[ start ]==> ((((a a) a) b)(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a) b)(^x.(^z.z))) 4. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.y))) REDUCED to normal form. ------ 26650/1500660. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^c.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a (a a)))) REDUCED to normal form. ------ 26651/1500678. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^a.(^b.(^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. ------ 26652/1500783. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.z)(a (a a)))) 3. ==[ beta ]==> (^y.(((^z.z)(a (a a)))((^z.z)(a (a a))))) 4. ==[ alpha ]==> (^x.(((^y.y)(a (a a)))((^z.z)(a (a a))))) 5. ==[ beta ]==> (^x.((a (a a))((^z.z)(a (a a))))) 6. ==[ alpha ]==> (^x.((a (a a))((^y.y)(a (a a))))) 7. ==[ beta ]==> (^x.((a (a a))(a (a a)))) REDUCED to normal form. ------ 26653/1500786. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(a (a a)))) REDUCED to normal form. ------ 26654/1501002. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(a a))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(^z.(z z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 26655/1501083. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1) a))) 5. ==[ beta ]==> ((^y.y)(^y1.((^z1.z1) a))) 6. ==[ alpha ]==> ((^x.x)(^y.((^z.z) a))) 7. ==[ beta ]==> (^y.((^z.z) a)) 8. ==[ alpha ]==> (^x.((^y.y) a)) 9. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 26656/1501164. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> (b (^x1.(^y1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 26657/1501173. ------ 1. ==[ start ]==> (((a b) b)(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a b) b)(^x.((^y.y) x))) 3. ==[ eta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 26658/1501227. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 26659/1501245. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^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. ------ 26660/1501299. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(a (^z1.z1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(a (^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(a (^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(a (^y1.y1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(a (^x1.x1)))) 9. ==[ beta ]==> ((^y.y)(^z.(a (^x1.x1)))) 10. ==[ alpha ]==> ((^x.x)(^y.(a (^z.z)))) 11. ==[ beta ]==> (^y.(a (^z.z))) 12. ==[ alpha ]==> (^x.(a (^y.y))) REDUCED to normal form. ------ 26661/1501308. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^a.c)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.c)) REDUCED to normal form. ------ 26662/1501362. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(y (^z.z)))) REDUCED to normal form. ------ 26663/1501389. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^c.(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 26664/1501479. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^b.a)) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.a)) REDUCED to normal form. ------ 26665/1501527. ------ 1. ==[ start ]==> (((^a.a) a)((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x) a)((a (^y.y))(a b))) 3. ==[ beta ]==> (a ((a (^y.y))(a b))) 4. ==[ alpha ]==> (a ((a (^x.x))(a b))) REDUCED to normal form. ------ 26666/1501545. ------ 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))) REDUCED to normal form. ------ 26667/1501554. ------ 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. ------ 26668/1501599. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(a a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 26669/1501617. ------ 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. ------ 26670/1501644. ------ 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. ------ 26671/1501680. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 26672/1501707. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 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. ------ 26673/1501734. ------ 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)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 26674/1501761. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 26675/1501779. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)(^y.(a a)))) REDUCED to normal form. ------ 26676/1501806. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(a a)) a)) 3. ==[ beta ]==> (((a (^x.x))(a a))((a a) a)) REDUCED to normal form. ------ 26677/1501833. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a b) b)) 2. ==[ alpha ]==> ((a ((^x.x) a))((a b) b)) 3. ==[ beta ]==> ((a a)((a b) b)) REDUCED to normal form. ------ 26678/1501842. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 26679/1501923. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z))(^x1.(^y1.y1)))) 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)))) 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. ------ 26680/1501950. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 26681/1501986. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(b (a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(b (a b))) 3. ==[ beta ]==> ((a (^y.y))(b (a b))) 4. ==[ alpha ]==> ((a (^x.x))(b (a b))) REDUCED to normal form. ------ 26682/1502004. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.(a a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(a a))) REDUCED to normal form. ------ 26683/1502022. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(a a)) a)) 3. ==[ beta ]==> (((a a) a)((^y.(a a)) a)) 4. ==[ alpha ]==> (((a a) a)((^x.(a a)) a)) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 26684/1502049. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.b) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.b) b)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 26685/1502094. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) 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)((^y.y) a)) 8. ==[ alpha ]==> ((a a)((^x.x) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 26686/1502175. ------ 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))) REDUCED to normal form. ------ 26687/1502193. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(b (^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(b (^z.b))) 3. ==[ beta ]==> (((^y.y)(^y.y))(b (^z.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.b))) 5. ==[ beta ]==> ((^y.y)(b (^z.b))) 6. ==[ alpha ]==> ((^x.x)(b (^y.b))) 7. ==[ beta ]==> (b (^y.b)) 8. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 26688/1502202. ------ 1. ==[ start ]==> (((a (a a)) a)((a a)(a b))) REDUCED to normal form. ------ 26689/1502220. ------ 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. ------ 26690/1502247. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^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. ------ 26691/1502301. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 26692/1502328. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 26693/1502346. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a (a a)))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(a (^x.(^y.y)))) REDUCED to normal form. ------ 26694/1502400. ------ 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))) REDUCED to normal form. ------ 26695/1502427. ------ 1. ==[ start ]==> (((a (a a))(a a))((a b) a)) REDUCED to normal form. ------ 26696/1502454. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a) a) b)) 3. ==[ beta ]==> ((a (^y.y))(((a a) a) b)) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a) b)) REDUCED to normal form. ------ 26697/1502463. ------ 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. ------ 26698/1502490. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 26699/1502544. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.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. ------ 26700/1502553. ------ 1. ==[ start ]==> (((a (a a)) b)(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(c ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a (a a)) b)(c (^y.y))) 4. ==[ alpha ]==> (((a (a a)) b)(c (^x.x))) REDUCED to normal form. ------ 26701/1502580. ------ 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. ------ 26702/1502598. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^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. ------ 26703/1502607. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(a (a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (a b))) REDUCED to normal form. ------ 26704/1502634. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((a a) a)(a a))) REDUCED to normal form. ------ 26705/1502661. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.a))((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.a))((^y.y)(a (^z.z)))) 7. ==[ beta ]==> ((a (^x.a))(a (^z.z))) 8. ==[ alpha ]==> ((a (^x.a))(a (^y.y))) REDUCED to normal form. ------ 26706/1502688. ------ 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. ------ 26707/1502715. ------ 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)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(a (a a)))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)(a (a a)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (a a)))) 7. ==[ beta ]==> (((^y.y) a)(a (a a))) 8. ==[ alpha ]==> (((^x.x) a)(a (a a))) 9. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 26708/1502805. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a) a)(^z.z))) 3. ==[ beta ]==> ((a ((^y.y) a))(((a a) a)(^z.z))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((a a) a)(^y.y))) 5. ==[ beta ]==> ((a a)(((a a) a)(^y.y))) 6. ==[ alpha ]==> ((a a)(((a a) a)(^x.x))) REDUCED to normal form. ------ 26709/1502832. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(a (^x.x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 26710/1502859. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a (a a))(^z.a))) 3. ==[ beta ]==> (((^y.y)(a a))((a (a a))(^z.a))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (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. ------ 26711/1502886. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x) a)(^y.(y y)))) 3. ==[ beta ]==> ((a ((a a) a))(a (^y.(y y)))) 4. ==[ alpha ]==> ((a ((a a) a))(a (^x.(x x)))) REDUCED to normal form. ------ 26712/1502922. ------ 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.x2)(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 26713/1502976. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a)(^x1.x1))) 5. ==[ beta ]==> (a ((^z.a)(^x1.x1))) 6. ==[ alpha ]==> (a ((^x.a)(^y.y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 26714/1503057. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a a) a)((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> (((a a) a)((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 26715/1503084. ------ 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.(^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. ------ 26716/1503093. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b ((^x1.x1)(^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. ------ 26717/1503120. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(a ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(a ((a a) a))) 3. ==[ beta ]==> ((a (^y.(y y)))(a ((a a) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(a ((a a) a))) REDUCED to normal form. ------ 26718/1503147. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> (((a (a a))(^x.a))((^z.z)(a a))) 4. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)(a a))) 5. ==[ beta ]==> (((a (a a))(^x.a))(a a)) REDUCED to normal form. ------ 26719/1503174. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (a a))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (a a))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (a a))(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(a (^z.z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 26720/1503201. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(a ((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(a ((^y.y) a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form. ------ 26721/1503219. ------ 1. ==[ start ]==> ((a (^a.b))(c (^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))(c (^y.(y y)))) REDUCED to normal form. ------ 26722/1503291. ------ 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))(^x1.x1))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(^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. ------ 26723/1503318. ------ 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. ------ 26724/1503345. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.a))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.a))) 7. ==[ beta ]==> ((a (^x.x))(a (^z.a))) 8. ==[ alpha ]==> ((a (^x.x))(a (^y.a))) REDUCED to normal form. ------ 26725/1503372. ------ 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. ------ 26726/1503399. ------ 1. ==[ start ]==> ((a (a b))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 26727/1503408. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 26728/1503489. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a)(^x1.a))) IRREDUCIBLE: cycle. ------ 26729/1503552. ------ 1. ==[ start ]==> ((((a a) a) b)(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(a ((^x.x)(^y.y)))) 3. ==[ beta ]==> ((((a a) a) b)(a (^y.y))) 4. ==[ alpha ]==> ((((a a) a) b)(a (^x.x))) REDUCED to normal form. ------ 26730/1503579. ------ 1. ==[ start ]==> (((a b) a)((a (a a))(a a))) REDUCED to normal form. ------ 26731/1503606. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.b))(a (a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.b))(a (a (^y.y)))) REDUCED to normal form. ------ 26732/1503660. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a a)(a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(a (a a)))) REDUCED to normal form. ------ 26733/1503678. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(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. ------ 26734/1503759. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (b ((^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. ------ 26735/1503786. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(a (a a)))) 3. ==[ beta ]==> ((a (^x.(a a)))(a (a a))) REDUCED to normal form. ------ 26736/1503804. ------ 1. ==[ start ]==> (((a a)(a b))((a (a a)) a)) REDUCED to normal form. ------ 26737/1503831. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((^y.y) a) b)) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(a b)) REDUCED to normal form. ------ 26738/1503912. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(z z)) a)) 5. ==[ beta ]==> (((^y.y) a)((^z.(z z)) a)) 6. ==[ alpha ]==> (((^x.x) a)((^y.(y y)) a)) 7. ==[ beta ]==> (a ((^y.(y y)) a)) 8. ==[ alpha ]==> (a ((^x.(x x)) a)) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 26739/1503939. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.a) b)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.a) b)) 3. ==[ beta ]==> ((((a a) a)(a (^x.x))) a) REDUCED to normal form. ------ 26740/1503957. ------ 1. ==[ start ]==> (((^a.b) b)((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) 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)))) REDUCED to normal form. ------ 26741/1503966. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(^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. ------ 26742/1504002. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(a (^z.(z z)))) 3. ==[ beta ]==> ((^y.(a a))(a (^z.(z z)))) 4. ==[ alpha ]==> ((^x.(a a))(a (^y.(y y)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 26743/1504029. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.a)(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a a))) 5. ==[ beta ]==> ((^y.a)(a a)) 6. ==[ alpha ]==> ((^x.a)(a a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 26744/1504083. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)((^z1.z1) a))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)((^z1.z1) a))) 6. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) a))) 7. ==[ beta ]==> ((^y.y)((^z.z) a)) 8. ==[ alpha ]==> ((^x.x)((^y.y) a)) 9. ==[ beta ]==> ((^y.y) a) 10. ==[ alpha ]==> ((^x.x) a) 11. ==[ beta ]==> a REDUCED to normal form. ------ 26745/1504164. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (b ((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (b ((^x.x)(^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 26746/1504173. ------ 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. ------ 26747/1504200. ------ 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))) REDUCED to normal form. ------ 26748/1504218. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(b (^a.(^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. ------ 26749/1504227. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 26750/1504245. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(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. ------ 26751/1504254. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(c a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(c a)) REDUCED to normal form. ------ 26752/1504299. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.y1)(a (^z1.z1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)(a (^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)(a (^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(a (^y1.y1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(a (^x1.x1)))) 9. ==[ beta ]==> ((^y.y)((^z.z)(a (^x1.x1)))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(a (^z.z)))) 11. ==[ beta ]==> ((^y.y)(a (^z.z))) 12. ==[ alpha ]==> ((^x.x)(a (^y.y))) 13. ==[ beta ]==> (a (^y.y)) 14. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 26753/1504308. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(a c)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a c)) REDUCED to normal form. ------ 26754/1504335. ------ 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. ------ 26755/1504362. ------ 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. ------ 26756/1504380. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(b (^a.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(b (^z.z))) 3. ==[ beta ]==> (b (b (^z.z))) 4. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 26757/1504389. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 26758/1504416. ------ 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)) REDUCED to normal form. ------ 26759/1504452. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a a) a)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a a) a)) 3. ==[ beta ]==> (((a a)(a a))((a a) a)) REDUCED to normal form. ------ 26760/1504479. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.a) a)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y) a)) 3. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 26761/1504505. ------ 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. ------ 26762/1504506. ------ 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. ------ 26763/1504563. ------ 1. ==[ start ]==> ((^a.b)(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.b)(^y.((^z.z)(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 26764/1506786. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.((^z.(^x1.(x1 x1)))(^z.(^x1.(x1 x1))))) 4. ==[ alpha ]==> (^x.((^y.(^z.(z z)))(^x1.(^y1.(y1 y1))))) 5. ==[ beta ]==> (^x.(^z.(z z))) 6. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 26765/1507509. ------ 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. ------ 26766/1507515. ------ 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. ------ 26767/1507542. ------ 1. ==[ start ]==> ((^a.(a a))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(a b))) 3. ==[ beta ]==> (((a (^y.y))(a b))((a (^y.y))(a b))) 4. ==[ alpha ]==> (((a (^x.x))(a b))((a (^y.y))(a b))) REDUCED to normal form. ------ 26768/1507569. ------ 1. ==[ start ]==> ((^a.b)((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.b)((a a)((^y.y)(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 26769/1507572. ------ 1. ==[ start ]==> ((a b)(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a b)(^x.((^y.y)(a a)))) 3. ==[ beta ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 26770/1507605. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 26771/1507767. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> (^y.((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> (^x.((a (^y.y))(^z.b))) REDUCED to normal form. ------ 26772/1507806. ------ 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)(^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 ]==> (^x.(a a)) REDUCED to normal form. ------ 26773/1508031. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (((a a) a)(^y.((^z.z)(y y)))) 4. ==[ alpha ]==> (((a a) a)(^x.((^y.y)(x x)))) 5. ==[ beta ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 26774/1508109. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^x1.x1) a))((((^y.y)(^z.z))((^x1.x1) a))(((^y.y)(^z.z))((^x1.x1) a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((((^x1.x1)(^y1.y1))((^z1.z1) a))(((^x2.x2)(^y2.y2))((^z2.z2) a)))) 5. ==[ beta ]==> (((^y.y)((^z.z) a))((((^x1.x1)(^y1.y1))((^z1.z1) a))(((^x2.x2)(^y2.y2))((^z2.z2) a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y) a))((((^z.z)(^x1.x1))((^y1.y1) a))(((^z1.z1)(^x2.x2))((^y2.y2) a)))) 7. ==[ beta ]==> (((^y.y) a)((((^z.z)(^x1.x1))((^y1.y1) a))(((^z1.z1)(^x2.x2))((^y2.y2) a)))) 8. ==[ alpha ]==> (((^x.x) a)((((^y.y)(^z.z))((^x1.x1) a))(((^y1.y1)(^z1.z1))((^x2.x2) a)))) 9. ==[ beta ]==> (a ((((^y.y)(^z.z))((^x1.x1) a))(((^y1.y1)(^z1.z1))((^x2.x2) a)))) 10. ==[ alpha ]==> (a ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1)(^y1.y1))((^z1.z1) a)))) 11. ==[ beta ]==> (a (((^y.y)((^z.z) a))(((^x1.x1)(^y1.y1))((^z1.z1) a)))) 12. ==[ alpha ]==> (a (((^x.x)((^y.y) a))(((^z.z)(^x1.x1))((^y1.y1) a)))) 13. ==[ beta ]==> (a (((^y.y) a)(((^z.z)(^x1.x1))((^y1.y1) a)))) 14. ==[ alpha ]==> (a (((^x.x) a)(((^y.y)(^z.z))((^x1.x1) a)))) 15. ==[ beta ]==> (a (a (((^y.y)(^z.z))((^x1.x1) a)))) 16. ==[ alpha ]==> (a (a (((^x.x)(^y.y))((^z.z) a)))) 17. ==[ beta ]==> (a (a ((^y.y)((^z.z) a)))) 18. ==[ alpha ]==> (a (a ((^x.x)((^y.y) a)))) 19. ==[ beta ]==> (a (a ((^y.y) a))) 20. ==[ alpha ]==> (a (a ((^x.x) a))) 21. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 26775/1508238. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.(y y)))) REDUCED to normal form. ------ 26776/1508334. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 26777/1508427. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^b.(a b))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(a y))) 3. ==[ eta ]==> (((^x.(x x)) b) a) 4. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 26778/1508616. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 26779/1509129. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.(^x1.a))) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.a))) REDUCED to normal form. ------ 26780/1509417. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 26781/1509561. ------ 1. ==[ start ]==> ((((a a) a) b)(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 26782/1509696. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 26783/1509792. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a a)(^z.(z z)))) 3. ==[ beta ]==> (^y.(((a a)(^z.(z z)))((a a)(^z.(z z))))) 4. ==[ alpha ]==> (^x.(((a a)(^y.(y y)))((a a)(^z.(z z))))) REDUCED to normal form. ------ 26784/1509795. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 26785/1509921. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(^x1.(x1 (x1 x1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(z (z z)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(z (z z)))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(y (y y)))) 7. ==[ beta ]==> (a (^y.(y (y y)))) 8. ==[ alpha ]==> (a (^x.(x (x x)))) REDUCED to normal form. ------ 26786/1509999. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a a)((^z.z) a))) 3. ==[ beta ]==> ((^y.y)(((a a)((^z.z) a))((a a)((^z.z) a)))) 4. ==[ alpha ]==> ((^x.x)(((a a)((^y.y) a))((a a)((^z.z) a)))) 5. ==[ beta ]==> (((a a)((^y.y) a))((a a)((^z.z) a))) 6. ==[ alpha ]==> (((a a)((^x.x) a))((a a)((^y.y) a))) 7. ==[ beta ]==> (((a a) a)((a a)((^y.y) a))) 8. ==[ alpha ]==> (((a a) a)((a a)((^x.x) a))) 9. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 26787/1510092. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^c.(^b.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. ------ 26788/1510173. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^c.c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.x1)) 3. ==[ beta ]==> (b (^x1.x1)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 26789/1510182. ------ 1. ==[ start ]==> (((a b) b)(^b.(^b.a))) 2. ==[ alpha ]==> (((a b) b)(^x.(^y.a))) REDUCED to normal form. ------ 26790/1510254. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^b.c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.c)) 3. ==[ beta ]==> ((^y.y)(^z.c)) 4. ==[ alpha ]==> ((^x.x)(^y.c)) 5. ==[ beta ]==> (^y.c) 6. ==[ alpha ]==> (^x.c) REDUCED to normal form. ------ 26791/1510263. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.z))) REDUCED to normal form. ------ 26792/1510317. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 26793/1510371. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 26794/1510425. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^a.(^a.(^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. ------ 26795/1510461. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^a.b)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.b)) 3. ==[ beta ]==> (((a a)(a a))(^y.b)) 4. ==[ alpha ]==> (((a a)(a a))(^x.b)) REDUCED to normal form. ------ 26796/1510488. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^a.(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(y y))) REDUCED to normal form. ------ 26797/1510515. ------ 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. ------ 26798/1510527. ------ 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. ------ 26799/1510554. ------ 1. ==[ start ]==> ((a (a a))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((a (a a))((a (^x.x))(a b))) REDUCED to normal form. ------ 26800/1510572. ------ 1. ==[ start ]==> (((a a) a)(b (^b.(a a)))) 2. ==[ alpha ]==> (((a a) a)(b (^x.(a a)))) REDUCED to normal form. ------ 26801/1510581. ------ 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. ------ 26802/1510617. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 26803/1510626. ------ 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))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 26804/1510653. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)(a (^x1.x1)))) 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. ------ 26805/1510671. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)(^x1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^x1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 26806/1510680. ------ 1. ==[ start ]==> (((a a) b)((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a) b)((^x.a)((^y.y) a))) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 26807/1510698. ------ 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.(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. ------ 26808/1510707. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 26809/1510725. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 26810/1510734. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(((^x1.x1)(^y1.y1))((^x1.x1)(^y1.y1)))) 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. ------ 26811/1510761. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 26812/1510779. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 26813/1510815. ------ 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)((^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. ------ 26814/1510860. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a b) b)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a b) b)) 3. ==[ beta ]==> ((^y.a)((a b) b)) 4. ==[ alpha ]==> ((^x.a)((a b) b)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 26815/1510896. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(^z.a))) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 26816/1510923. ------ 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)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 26817/1510950. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(a a))(^b.(^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. ------ 26818/1510977. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.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. ------ 26819/1511004. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 26820/1511040. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(a ((^y.y)(a a)))) 3. ==[ beta ]==> (((a a) a)(a ((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a) a)(a ((^x.x)(a a)))) 5. ==[ beta ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 26821/1511067. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a b)(a a))) REDUCED to normal form. ------ 26822/1511094. ------ 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. ------ 26823/1511121. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a (a (a a)))((^y.y)((^z.z) a))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.x)((^y.y) a))) 5. ==[ beta ]==> ((a (a (a a)))((^y.y) a)) 6. ==[ alpha ]==> ((a (a (a a)))((^x.x) a)) 7. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 26824/1511193. ------ 1. ==[ start ]==> ((((^a.a) a) b)(c (^c.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(c (^y.a))) 3. ==[ beta ]==> ((a b)(c (^y.a))) 4. ==[ alpha ]==> ((a b)(c (^x.a))) REDUCED to normal form. ------ 26825/1511220. ------ 1. ==[ start ]==> (((a (a a)) a)(b (^a.b))) 2. ==[ alpha ]==> (((a (a a)) a)(b (^x.b))) REDUCED to normal form. ------ 26826/1511247. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(a (^y.(a a)))) REDUCED to normal form. ------ 26827/1511265. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a b)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((a 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. ------ 26828/1511274. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.b)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) b) REDUCED to normal form. ------ 26829/1511319. ------ 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)(a a))(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.a))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.a))) 7. ==[ beta ]==> (((a a)(a a))(^y.a)) 8. ==[ alpha ]==> (((a a)(a a))(^x.a)) REDUCED to normal form. ------ 26830/1511328. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 26831/1511346. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(^z.(z z)))) REDUCED to normal form. ------ 26832/1511436. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.y)(a b))) 3. ==[ beta ]==> ((b b)((^y.y)(a b))) 4. ==[ alpha ]==> ((b b)((^x.x)(a b))) 5. ==[ beta ]==> ((b b)(a b)) REDUCED to normal form. ------ 26833/1511481. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 26834/1511571. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.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. ------ 26835/1511625. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 26836/1511643. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a 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. ------ 26837/1511697. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 26838/1511769. ------ 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)(^y.y))((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 (^y.y))(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 26839/1511796. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a a)((a a) a))) REDUCED to normal form. ------ 26840/1511940. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 26841/1511994. ------ 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)(^y.a))(((a a) a) a)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((a a) a) a)) 5. ==[ beta ]==> (a (((a a) a) a)) REDUCED to normal form. ------ 26842/1512030. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.(^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. ------ 26843/1512057. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(x x))(^y.a))) 3. ==[ beta ]==> ((((a a) a) a)((^y.a)(^y.a))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.a)(^y.a))) 5. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 26844/1512111. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(^a.a))(^b.(^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. ------ 26845/1512255. ------ 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. ------ 26846/1512282. ------ 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))(^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))(^y.y))((a a)(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.z))) REDUCED to normal form. ------ 26847/1512408. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (b ((^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. ------ 26848/1512426. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a a)(^b.(^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. ------ 26849/1512570. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a) b)(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.y))) REDUCED to normal form. ------ 26850/1512588. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 26851/1512615. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 26852/1512642. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.a) c)) 3. ==[ beta ]==> ((^y.y)((^z.a) c)) 4. ==[ alpha ]==> ((^x.x)((^y.a) c)) 5. ==[ beta ]==> ((^y.a) c) 6. ==[ alpha ]==> ((^x.a) c) 7. ==[ beta ]==> a REDUCED to normal form. ------ 26853/1512678. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b (^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.(z z)))) REDUCED to normal form. ------ 26854/1512705. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 26855/1512732. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(x1 x1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))(a a))) 5. ==[ beta ]==> ((^y.a)((^z.(z z))(a a))) 6. ==[ alpha ]==> ((^x.a)((^y.(y y))(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 26856/1512759. ------ 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. ------ 26857/1512777. ------ 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 (^y.y))(^z.a))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.a))) REDUCED to normal form. ------ 26858/1512786. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 26859/1512804. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 26860/1512903. ------ 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. ------ 26861/1512930. ------ 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. ------ 26862/1512957. ------ 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. ------ 26863/1512975. ------ 1. ==[ start ]==> (((^a.b) b)(c (^a.(^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. ------ 26864/1512984. ------ 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. ------ 26865/1513011. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(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. ------ 26866/1513047. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 26867/1513101. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a)(^x1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a)(^x1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(^y1.a))) 5. ==[ beta ]==> ((^y.y)((a a)(^y1.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. ------ 26868/1513182. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a) c)) 3. ==[ beta ]==> (b ((a a) c)) REDUCED to normal form. ------ 26869/1513191. ------ 1. ==[ start ]==> (((a b) b)((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a b) b)((^x.x)(^y.a))) 3. ==[ beta ]==> (((a b) b)(^y.a)) 4. ==[ alpha ]==> (((a b) b)(^x.a)) REDUCED to normal form. ------ 26870/1513236. ------ 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)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 26871/1513245. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 26872/1513263. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.z) c)) 3. ==[ beta ]==> ((^y.y)((^z.z) c)) 4. ==[ alpha ]==> ((^x.x)((^y.y) c)) 5. ==[ beta ]==> ((^y.y) c) 6. ==[ alpha ]==> ((^x.x) c) 7. ==[ beta ]==> c REDUCED to normal form. ------ 26873/1513272. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(a (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(a (^z.a))) REDUCED to normal form. ------ 26874/1513317. ------ 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 ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a a)(^x1.(^y1.y1)))) 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. ------ 26875/1513326. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 26876/1513353. ------ 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.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.x1))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.x1))((^y.(^z.z))(^x1.x1))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))(^z1.z1))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.z1))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 26877/1513380. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 26878/1513398. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 26879/1513407. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 26880/1513434. ------ 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. ------ 26881/1513470. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(a b)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(a b)) 3. ==[ beta ]==> (((a a)(a a))(a b)) REDUCED to normal form. ------ 26882/1513497. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(a (a a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(a (a a))) REDUCED to normal form. ------ 26883/1513524. ------ 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. ------ 26884/1516536. ------ 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. ------ 26885/1516560. ------ 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. ------ 26886/1516605. ------ 1. ==[ start ]==> ((^a.b)(b (^b.(a a)))) 2. ==[ alpha ]==> ((^x.b)(b (^y.(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 26887/1516686. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (((^z.b)(a (^x1.x1)))(^y.y)) 4. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.z)) 5. ==[ beta ]==> (b (^z.z)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 26888/1516842. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^c.(^b.(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. ------ 26889/1516851. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^y.(a a))) REDUCED to normal form. ------ 26890/1516875. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(a a))(^x1.x1))) 3. ==[ eta ]==> ((^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. ------ 26891/1517046. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(b (a b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(b (a b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 26892/1517067. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^b.(^b.(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. ------ 26893/1517463. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(^z.b))) 3. ==[ beta ]==> ((b b)(^y.(^z.b))) 4. ==[ alpha ]==> ((b b)(^x.(^y.b))) REDUCED to normal form. ------ 26894/1517472. ------ 1. ==[ start ]==> (((a (a a))(a a))(^b.(a b))) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.(a x))) 3. ==[ eta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 26895/1517496. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 26896/1517670. ------ 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)(^z.(z b))) 4. ==[ alpha ]==> ((^x.x)(^y.(y b))) 5. ==[ beta ]==> (^y.(y b)) 6. ==[ alpha ]==> (^x.(x b)) REDUCED to normal form. ------ 26897/1517850. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(^x1.b))) 3. ==[ beta ]==> ((a ((^y.y) a))(^z.(^x1.b))) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.b))) 5. ==[ beta ]==> ((a a)(^y.(^z.b))) 6. ==[ alpha ]==> ((a a)(^x.(^y.b))) REDUCED to normal form. ------ 26898/1517928. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((((^y.(y y))((^z.z) a))((^y.(y y))((^z.z) a)))((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> ((((^x.(x x))((^y.y) a))((^z.(z z))((^x1.x1) a)))((^y1.(y1 y1))((^z1.z1) a))) 5. ==[ beta ]==> (((((^y.y) a)((^y.y) a))((^z.(z z))((^x1.x1) a)))((^y1.(y1 y1))((^z1.z1) a))) 6. ==[ alpha ]==> (((((^x.x) a)((^y.y) a))((^z.(z z))((^x1.x1) a)))((^y1.(y1 y1))((^z1.z1) a))) 7. ==[ beta ]==> (((a ((^y.y) a))((^z.(z z))((^x1.x1) a)))((^y1.(y1 y1))((^z1.z1) a))) 8. ==[ alpha ]==> (((a ((^x.x) a))((^y.(y y))((^z.z) a)))((^x1.(x1 x1))((^y1.y1) a))) 9. ==[ beta ]==> (((a a)((^y.(y y))((^z.z) a)))((^x1.(x1 x1))((^y1.y1) a))) 10. ==[ alpha ]==> (((a a)((^x.(x x))((^y.y) a)))((^z.(z z))((^x1.x1) a))) 11. ==[ beta ]==> (((a a)(((^y.y) a)((^y.y) a)))((^z.(z z))((^x1.x1) a))) 12. ==[ alpha ]==> (((a a)(((^x.x) a)((^y.y) a)))((^z.(z z))((^x1.x1) a))) 13. ==[ beta ]==> (((a a)(a ((^y.y) a)))((^z.(z z))((^x1.x1) a))) 14. ==[ alpha ]==> (((a a)(a ((^x.x) a)))((^y.(y y))((^z.z) a))) 15. ==[ beta ]==> (((a a)(a a))((^y.(y y))((^z.z) a))) 16. ==[ alpha ]==> (((a a)(a a))((^x.(x x))((^y.y) a))) 17. ==[ beta ]==> (((a a)(a a))(((^y.y) a)((^y.y) a))) 18. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)((^y.y) a))) 19. ==[ beta ]==> (((a a)(a a))(a ((^y.y) a))) 20. ==[ alpha ]==> (((a a)(a a))(a ((^x.x) a))) 21. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 26899/1518183. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.((z z) z))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.((z z) z))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.((z z) z))) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.((z z) z))) 6. ==[ alpha ]==> ((a ((^x.x) 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. ------ 26900/1518261. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 26901/1518441. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(^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. ------ 26902/1518615. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (^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. ------ 26903/1518849. ------ 1. ==[ start ]==> (((a a)(a b))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(a (a a)))) REDUCED to normal form. ------ 26904/1518957. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(z z)))) 7. ==[ beta ]==> (a (^y.(^z.(z z)))) 8. ==[ alpha ]==> (a (^x.(^y.(y y)))) REDUCED to normal form. ------ 26905/1519035. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(b (^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(b (^z.a))) 3. ==[ beta ]==> ((^y.y)((b (^z.a))(b (^z.a)))) 4. ==[ alpha ]==> ((^x.x)((b (^y.a))(b (^z.a)))) 5. ==[ beta ]==> ((b (^y.a))(b (^z.a))) 6. ==[ alpha ]==> ((b (^x.a))(b (^y.a))) REDUCED to normal form. ------ 26906/1519047. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(a a))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(a a))(^y.((^z.z) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 26907/1519218. ------ 1. ==[ start ]==> (((a b) b)(^c.c)) 2. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 26908/1519290. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^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))) REDUCED to normal form. ------ 26909/1519299. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^b.c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.c)) REDUCED to normal form. ------ 26910/1519353. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 26911/1519407. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^c.b)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.b)) REDUCED to normal form. ------ 26912/1519425. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (b (^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(x (^y.y)))) REDUCED to normal form. ------ 26913/1519461. ------ 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. ------ 26914/1519497. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^b.(a a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(a a))) 3. ==[ beta ]==> (((a a)(a a))(^y.(a a))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(a a))) REDUCED to normal form. ------ 26915/1519524. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.z))) REDUCED to normal form. ------ 26916/1519551. ------ 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. ------ 26917/1519581. ------ 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. ------ 26918/1519608. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(a b))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(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. ------ 26919/1519626. ------ 1. ==[ start ]==> ((a b)(b (^b.(a a)))) 2. ==[ alpha ]==> ((a b)(b (^x.(a a)))) REDUCED to normal form. ------ 26920/1519635. ------ 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. ------ 26921/1519671. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> (b (((^y.y)(a a))(^z.z))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.y))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 26922/1519680. ------ 1. ==[ start ]==> (((a a)(a a))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(a a))) 3. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 26923/1519698. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 26924/1519707. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 26925/1519725. ------ 1. ==[ start ]==> (((a a) b)(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a a) b)(((a a) a)(^x.a))) REDUCED to normal form. ------ 26926/1519752. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.(z z))) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.(y y))) REDUCED to normal form. ------ 26927/1519779. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 26928/1519842. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(^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. ------ 26929/1519860. ------ 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 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. ------ 26930/1519869. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(a a))) 5. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 26931/1519896. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((a a)((^y.(a a))(^z.z))) 4. ==[ alpha ]==> ((a a)((^x.(a a))(^y.y))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 26932/1519941. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((a a) a) c)) 2. ==[ alpha ]==> (((a (^x.x)) b)(((a a) a) c)) REDUCED to normal form. ------ 26933/1520067. ------ 1. ==[ start ]==> ((a (^a.(a a)))(b (a b))) 2. ==[ alpha ]==> ((a (^x.(x x)))(b (a b))) REDUCED to normal form. ------ 26934/1520085. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^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. ------ 26935/1520175. ------ 1. ==[ start ]==> (((^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))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((((^y.y)(^z.z))((^x1.x1) a))(((^y.y)(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 7. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 8. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(^x1.x1))((^y1.y1) a))) 9. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))((^y1.y1) a))) 10. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))((^x1.x1) a))) 11. ==[ beta ]==> (a (((^y.y)(^z.z))((^x1.x1) a))) 12. ==[ alpha ]==> (a (((^x.x)(^y.y))((^z.z) a))) 13. ==[ beta ]==> (a ((^y.y)((^z.z) a))) 14. ==[ alpha ]==> (a ((^x.x)((^y.y) a))) 15. ==[ beta ]==> (a ((^y.y) a)) 16. ==[ alpha ]==> (a ((^x.x) a)) 17. ==[ beta ]==> (a a) REDUCED to normal form. ------ 26936/1520202. ------ 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. ------ 26937/1520256. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (^z.z))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (^z.z))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))((a a) a))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))((a a) a))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a) a))) 7. ==[ beta ]==> ((a (^y.y))((a a) a)) 8. ==[ alpha ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 26938/1520283. ------ 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. ------ 26939/1520319. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a b)(^z.z))) REDUCED to normal form. ------ 26940/1520346. ------ 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. ------ 26941/1520373. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (a a))(^x.x))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.a)) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.a)) REDUCED to normal form. ------ 26942/1520409. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(x x))(a (a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 26943/1520436. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 26944/1520463. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(^x1.x1))((a a) a))) 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. ------ 26945/1520481. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a a)(^y.b))) 3. ==[ beta ]==> ((b b)((a a)(^y.b))) 4. ==[ alpha ]==> ((b b)((a a)(^x.b))) REDUCED to normal form. ------ 26946/1520490. ------ 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. ------ 26947/1520517. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.z))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 26948/1520661. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b ((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(b ((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(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. ------ 26949/1520688. ------ 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 b))) 4. ==[ alpha ]==> ((^x.x)(a (a b))) 5. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 26950/1520697. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.b) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.b) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) b) REDUCED to normal form. ------ 26951/1520724. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^c.a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.a) b)) 3. ==[ beta ]==> ((a (^y.a))((^z.a) b)) 4. ==[ alpha ]==> ((a (^x.a))((^y.a) b)) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 26952/1520742. ------ 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)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)(a (^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(a (^x1.x1)))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (^x1.x1))) 8. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.z))) REDUCED to normal form. ------ 26953/1520751. ------ 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. ------ 26954/1520841. ------ 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. ------ 26955/1520868. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(a (^z.b))) 3. ==[ beta ]==> ((a ((^y.y) a))(a (^z.b))) 4. ==[ alpha ]==> ((a ((^x.x) a))(a (^y.b))) 5. ==[ beta ]==> ((a a)(a (^y.b))) 6. ==[ alpha ]==> ((a a)(a (^x.b))) REDUCED to normal form. ------ 26956/1520922. ------ 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 (^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)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 26957/1520949. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(x x))((^y.y) a))) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y) a)((^y.y) a))) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x) 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. ------ 26958/1521075. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> (b (((^y.y)(^z.z)) b)) 6. ==[ alpha ]==> (b (((^x.x)(^y.y)) b)) 7. ==[ beta ]==> (b ((^y.y) b)) 8. ==[ alpha ]==> (b ((^x.x) b)) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 26959/1521201. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(a ((a a) a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) 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. ------ 26960/1521210. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^c.a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.a) a)) 3. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 26961/1521237. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.(^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. ------ 26962/1521282. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> ((a (^x.b))(a ((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.b))(a ((^y.y) a))) 5. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 26963/1521327. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 26964/1521381. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 26965/1521408. ------ 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 x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(x1 x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(z z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(a (^z.z)))) 7. ==[ beta ]==> ((a (^x.x))((a (^z.z))(a (^z.z)))) 8. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 26966/1521435. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.a)((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 26967/1521453. ------ 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 ((a (^y.y))(^z.(z z)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 26968/1521462. ------ 1. ==[ start ]==> ((a (a b))((^a.(^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. ------ 26969/1521633. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (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. ------ 26970/1521642. ------ 1. ==[ start ]==> (((a b) a)((^b.(^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. ------ 26971/1521660. ------ 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. ------ 26972/1521669. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(y y)) b)) 3. ==[ beta ]==> (((a a)(^x.b))(b b)) REDUCED to normal form. ------ 26973/1521687. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((^z.z) a)(a (^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. ------ 26974/1521741. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a a)(a (a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a a)(a (a a)))) REDUCED to normal form. ------ 26975/1521777. ------ 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 REDUCED to normal form. ------ 26976/1521804. ------ 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. ------ 26977/1521822. ------ 1. ==[ start ]==> (((^a.b)(a a))(c c)) 2. ==[ alpha ]==> (((^x.b)(a a))(c c)) 3. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 26978/1521831. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 26979/1521867. ------ 1. ==[ start ]==> (((a a)(a b))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.x)(a (a a)))) 3. ==[ beta ]==> (((a a)(a b))(a (a a))) REDUCED to normal form. ------ 26980/1521894. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((^z.z)(^z.z))) 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. ------ 26981/1521921. ------ 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)))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 26982/1521948. ------ 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. ------ 26983/1521975. ------ 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.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.(z z)))) 7. ==[ beta ]==> (a ((^y.y)(^z.(z z)))) 8. ==[ alpha ]==> (a ((^x.x)(^y.(y y)))) 9. ==[ beta ]==> (a (^y.(y y))) 10. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 26984/1522020. ------ 1. ==[ start ]==> (((^a.b) b)((^b.a) b)) 2. ==[ alpha ]==> (((^x.b) b)((^y.a) b)) 3. ==[ beta ]==> (b ((^y.a) b)) 4. ==[ alpha ]==> (b ((^x.a) b)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 26985/1522029. ------ 1. ==[ start ]==> (((a b)(a a))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(c (^x.(^y.y)))) REDUCED to normal form. ------ 26986/1522056. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(b (^b.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. ------ 26987/1522065. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a a)((^z.z) a))) 3. ==[ beta ]==> ((^y.(a a))((a a)((^z.z) a))) 4. ==[ alpha ]==> ((^x.(a a))((a a)((^y.y) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 26988/1522146. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(b c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b c)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b c)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b c)) 5. ==[ beta ]==> ((^y.y)(b c)) 6. ==[ alpha ]==> ((^x.x)(b c)) 7. ==[ beta ]==> (b c) REDUCED to normal form. ------ 26989/1522227. ------ 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. ------ 26990/1522236. ------ 1. ==[ start ]==> (((a b) b)((a a) c)) REDUCED to normal form. ------ 26991/1522263. ------ 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)) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 26992/1522281. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (^z.z))(a a))) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))(a a))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))(a a))) 5. ==[ beta ]==> ((a a)((a (^y.y))(a a))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(a a))) REDUCED to normal form. ------ 26993/1522290. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(^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. ------ 26994/1522308. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a a)(a (^z.z)))) 3. ==[ beta ]==> ((^y.y)((a a)(a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)((a a)(a (^y.y)))) 5. ==[ beta ]==> ((a a)(a (^y.y))) 6. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 26995/1522317. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.a) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) c) REDUCED to normal form. ------ 26996/1522362. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(b b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(b b)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(b b)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b b)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b b)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b b)) 7. ==[ beta ]==> (((^y.y)(^z.z))(b b)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(b b)) 9. ==[ beta ]==> ((^y.y)(b b)) 10. ==[ alpha ]==> ((^x.x)(b b)) 11. ==[ beta ]==> (b b) REDUCED to normal form. ------ 26997/1522371. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 26998/1522398. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a (^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z)) a)) 5. ==[ beta ]==> ((^y.(y y))((a (^z.z)) a)) 6. ==[ alpha ]==> ((^x.(x x))((a (^y.y)) a)) 7. ==[ beta ]==> (((a (^y.y)) a)((a (^y.y)) a)) 8. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y)) a)) REDUCED to normal form. ------ 26999/1522425. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a a) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a a) b)) REDUCED to normal form. ------ 27000/1522443. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(a (a (^z.z)))) 3. ==[ beta ]==> (b (a (a (^z.z)))) 4. ==[ alpha ]==> (b (a (a (^x.x)))) REDUCED to normal form. ------ 27001/1522452. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 27002/1522479. ------ 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)(^x.x)) b) REDUCED to normal form. ------ 27003/1522515. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.y)(a a))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)(a a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(a a))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 27004/1522542. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 27005/1522569. ------ 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. ------ 27006/1525749. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^z.(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 27007/1525866. ------ 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))) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 27008/1525938. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z)(a a)) a)) 3. ==[ eta ]==> ((^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. ------ 27009/1526109. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 27010/1526355. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 27011/1526433. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 27012/1526559. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a b) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((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. ------ 27013/1526733. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a 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. ------ 27014/1526742. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^a.(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(z b))) REDUCED to normal form. ------ 27015/1526991. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((^x.((x x) x))((a (a a))(^y.a))) 3. ==[ beta ]==> ((((a (a a))(^y.a))((a (a a))(^y.a)))((a (a a))(^y.a))) 4. ==[ alpha ]==> ((((a (a a))(^x.a))((a (a a))(^y.a)))((a (a a))(^z.a))) REDUCED to normal form. ------ 27016/1527084. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.((a a) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.((a a) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.((a a) a))) 5. ==[ beta ]==> (a (^z.((a a) a))) 6. ==[ alpha ]==> (a (^x.((a a) a))) REDUCED to normal form. ------ 27017/1527246. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.(^x1.a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.(^x1.a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(^x1.a))) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.(^x1.a))) 6. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.a))) 7. ==[ beta ]==> ((a a)(^y.(^z.a))) 8. ==[ alpha ]==> ((a a)(^x.(^y.a))) REDUCED to normal form. ------ 27018/1527255. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.((y y) y))) REDUCED to normal form. ------ 27019/1527504. ------ 1. ==[ start ]==> ((^a.(a b))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))((a (^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a (^y.y))(^z.(z z))) b) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y))) b) REDUCED to normal form. ------ 27020/1527678. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 27021/1527687. ------ 1. ==[ start ]==> (((a b) a)(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b) a)(^x.(^z.z))) 4. ==[ alpha ]==> (((a b) a)(^x.(^y.y))) REDUCED to normal form. ------ 27022/1527891. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1))((^y1.y1) a))((^z.(^x1.x1))((^y1.y1) a)))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z))((^x1.x1) a))((^y1.(^z1.z1))((^x2.x2) a)))) 5. ==[ beta ]==> (^x.((^z.z)((^y1.(^z1.z1))((^x2.x2) a)))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1))((^y1.y1) a)))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))((^y1.y1) a))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))((^x1.x1) a))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 27023/1527912. ------ 1. ==[ start ]==> (((a a)(a b))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(^y.(y y)))) REDUCED to normal form. ------ 27024/1528137. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^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. ------ 27025/1528308. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^a.((^a.a) a))) 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. ------ 27026/1528362. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 27027/1528488. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^b.(^a.(^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. ------ 27028/1528497. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 27029/1528587. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^c.a)) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.a)) REDUCED to normal form. ------ 27030/1528614. ------ 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. ------ 27031/1528662. ------ 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. ------ 27032/1528689. ------ 1. ==[ start ]==> (((a a) a)((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a a) a)((a (^x.x))(a b))) REDUCED to normal form. ------ 27033/1528707. ------ 1. ==[ start ]==> (((^a.a)(a a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(b (^y.(a a)))) 3. ==[ beta ]==> ((a a)(b (^y.(a a)))) 4. ==[ alpha ]==> ((a a)(b (^x.(a a)))) REDUCED to normal form. ------ 27034/1528716. ------ 1. ==[ start ]==> (((a a)(^a.a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 27035/1528752. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x)(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. ------ 27036/1528779. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 27037/1528788. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 27038/1528842. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 27039/1528869. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.z))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^y.y)(^z.z))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 11. ==[ beta ]==> ((^y.y)(^z.z)) 12. ==[ alpha ]==> ((^x.x)(^y.y)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 27040/1528896. ------ 1. ==[ start ]==> ((a (^b.a))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)((a a) a))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 27041/1528914. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 27042/1528941. ------ 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. ------ 27043/1528968. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(a a)) a)) 3. ==[ beta ]==> ((a a)(((^y.y)(a a)) a)) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a)) a)) 5. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 27044/1528977. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(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. ------ 27045/1529004. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.b)(^a.(^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. ------ 27046/1529058. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (a ((^y.(^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(z z)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 27047/1529085. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 27048/1529139. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 27049/1529184. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(a a)) a)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 27050/1529211. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.b) b)) 3. ==[ beta ]==> ((a (a a))((^y.b) b)) 4. ==[ alpha ]==> ((a (a a))((^x.b) b)) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 27051/1529229. ------ 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)(a (^y.y)))) 4. ==[ alpha ]==> ((a a)(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 27052/1529310. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^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)(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. ------ 27053/1529337. ------ 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. ------ 27054/1529355. ------ 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. ------ 27055/1529364. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a a)(a b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(a b))) REDUCED to normal form. ------ 27056/1529382. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(a (^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(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. ------ 27057/1529463. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 27058/1529481. ------ 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. ------ 27059/1529508. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) 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. ------ 27060/1529562. ------ 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. ------ 27061/1529589. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a b) a)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a b) a)) 3. ==[ beta ]==> ((a (^y.y))((a b) a)) 4. ==[ alpha ]==> ((a (^x.x))((a b) a)) REDUCED to normal form. ------ 27062/1529598. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 27063/1529679. ------ 1. ==[ start ]==> (((^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 y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(z1 z1)))) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.(z1 z1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(z z)))) 7. ==[ beta ]==> ((^y.(y y))(^z.(z z))) 8. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) 9. ==[ beta ]==> ((^y.(y y))(^y.(y y))) 10. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) IRREDUCIBLE: cycle. ------ 27064/1529742. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b ((a a) a))) REDUCED to normal form. ------ 27065/1529760. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.z)(^x1.b))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 27066/1529769. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(a (a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a (a b))) REDUCED to normal form. ------ 27067/1529796. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((a a) a)(a a))) 3. ==[ beta ]==> ((a (^y.a))(((a a) a)(a a))) 4. ==[ alpha ]==> ((a (^x.a))(((a a) a)(a a))) REDUCED to normal form. ------ 27068/1529823. ------ 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. ------ 27069/1529850. ------ 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. ------ 27070/1529967. ------ 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. ------ 27071/1529994. ------ 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))(^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. ------ 27072/1530021. ------ 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. ------ 27073/1530057. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^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))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 27074/1530111. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.z)((a a) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.z)((a a) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.z)((a a) a))) 5. ==[ beta ]==> (a ((^z.z)((a a) a))) 6. ==[ alpha ]==> (a ((^x.x)((a a) a))) 7. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 27075/1530192. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))(^z.a))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.a))) 5. ==[ beta ]==> (((a a) a)((^y.a)(^y.a))) 6. ==[ alpha ]==> (((a a) a)((^x.a)(^y.a))) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 27076/1530219. ------ 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.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.(z1 z1)))) 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. ------ 27077/1530228. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(c (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(c (a (a a)))) REDUCED to normal form. ------ 27078/1530255. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.(x x)))(b (^z.z))) 6. ==[ alpha ]==> ((a (^x.(x x)))(b (^y.y))) REDUCED to normal form. ------ 27079/1530282. ------ 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. ------ 27080/1530309. ------ 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.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. ------ 27081/1530336. ------ 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. ------ 27082/1530453. ------ 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))(^x1.x1))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(^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. ------ 27083/1530480. ------ 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. ------ 27084/1530507. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x) a)(^y.a))) 3. ==[ beta ]==> ((((a a) a)(a a))(a (^y.a))) 4. ==[ alpha ]==> ((((a a) a)(a a))(a (^x.a))) REDUCED to normal form. ------ 27085/1530525. ------ 1. ==[ start ]==> (((^a.b) a)(c d)) 2. ==[ alpha ]==> (((^x.b) a)(c d)) 3. ==[ beta ]==> (b (c d)) REDUCED to normal form. ------ 27086/1530534. ------ 1. ==[ start ]==> ((a (a b))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a b))((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 27087/1530543. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(^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. ------ 27088/1530624. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))(^x1.(^y1.y1)))) IRREDUCIBLE: cycle. ------ 27089/1530687. ------ 1. ==[ start ]==> ((((a a) a) b)(b (a (a a)))) REDUCED to normal form. ------ 27090/1530705. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^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. ------ 27091/1530714. ------ 1. ==[ start ]==> (((a b) a)(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(a ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a b) a)(a (^y.y))) 4. ==[ alpha ]==> (((a b) a)(a (^x.x))) REDUCED to normal form. ------ 27092/1530741. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (a a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (a a))(a a))) REDUCED to normal form. ------ 27093/1530795. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 27094/1530813. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(b (^y.(y y)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(b (^y.(y y)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(b (^x.(x x)))) REDUCED to normal form. ------ 27095/1530822. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a a)(a (a a)))) REDUCED to normal form. ------ 27096/1530894. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (b ((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> (b ((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 27097/1530903. ------ 1. ==[ start ]==> (((a b)(^a.a))(c c)) 2. ==[ alpha ]==> (((a b)(^x.x))(c c)) REDUCED to normal form. ------ 27098/1530921. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 27099/1530939. ------ 1. ==[ start ]==> (((a a)(a b))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))((a a)(^x.(x x)))) REDUCED to normal form. ------ 27100/1530966. ------ 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. ------ 27101/1530993. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^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 (^y.y))(((^z.z) a) b)) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) a) b)) 7. ==[ beta ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 27102/1531074. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(y y)) a)) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 27103/1531092. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y) a)(a a))) 3. ==[ beta ]==> (b (((^y.y) a)(a a))) 4. ==[ alpha ]==> (b (((^x.x) a)(a a))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 27104/1531101. ------ 1. ==[ start ]==> (((a b)(a a))((^b.a) b)) 2. ==[ alpha ]==> (((a b)(a a))((^x.a) b)) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 27105/1531137. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(b (^b.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 a) REDUCED to normal form. ------ 27106/1531164. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(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. ------ 27107/1531218. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(^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. ------ 27108/1531299. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 27109/1531308. ------ 1. ==[ start ]==> (((a b) b)(b (a (^a.a)))) 2. ==[ alpha ]==> (((a b) b)(b (a (^x.x)))) REDUCED to normal form. ------ 27110/1531335. ------ 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. ------ 27111/1531362. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (^y.y))(a a))) REDUCED to normal form. ------ 27112/1531380. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(b (^a.(^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. ------ 27113/1531389. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a a)(a (^z.z)))) REDUCED to normal form. ------ 27114/1531434. ------ 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.y1))(a a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(a a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(a a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(a a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(a a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a a))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a a))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 11. ==[ beta ]==> ((^y.(^z.z))(a a)) 12. ==[ alpha ]==> ((^x.(^y.y))(a a)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 27115/1531443. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(b b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b b)) REDUCED to normal form. ------ 27116/1531497. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(b (a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(b (a a))) REDUCED to normal form. ------ 27117/1531515. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 27118/1531524. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (a (^z.z)))) REDUCED to normal form. ------ 27119/1531551. ------ 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))) REDUCED to normal form. ------ 27120/1531587. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a a)(^y.y))) 3. ==[ beta ]==> (((a a)(a a))((a a)(^y.y))) 4. ==[ alpha ]==> (((a a)(a a))((a a)(^x.x))) REDUCED to normal form. ------ 27121/1531614. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a a) a)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a a) a)) REDUCED to normal form. ------ 27122/1531641. ------ 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. ------ 27123/1531667. ------ 1. ==[ start ]==> (^a.((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (^x.((x (x x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (^x.((x (x x))(^z.z))) 4. ==[ alpha ]==> (^x.((x (x x))(^y.y))) REDUCED to normal form. ------ 27124/1531668. ------ 1. ==[ start ]==> (a ((a (a a))((^a.a)(^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. ------ 27125/1534698. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a))) a) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y))) a) 3. ==[ beta ]==> (((a (a a))(^y.y)) a) 4. ==[ alpha ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 27126/1534704. ------ 1. ==[ start ]==> ((^a.a)((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a a))((^y.y)(^z.z))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(^y.y))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 27127/1534731. ------ 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. ------ 27128/1534758. ------ 1. ==[ start ]==> ((^a.b)((a (^a.a))(a b))) 2. ==[ alpha ]==> ((^x.b)((a (^y.y))(a b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 27129/1534806. ------ 1. ==[ start ]==> (((^a.a) b)(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 27130/1534956. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (^y.(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (^x.(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (^x.(a (^z.a))) 6. ==[ alpha ]==> (^x.(a (^y.a))) REDUCED to normal form. ------ 27131/1535247. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^z.(z z))) REDUCED to normal form. ------ 27132/1535298. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((a a) a)(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a)(a (^y.y)))((((a a) a)(a (^y.y)))(((a a) a)(a (^y.y))))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((((a a) a)(a (^y.y)))(((a a) a)(a (^z.z))))) REDUCED to normal form. ------ 27133/1535454. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 27134/1535523. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 27135/1535832. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(^x1.z))) REDUCED to normal form. ------ 27136/1536174. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^c.(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(^x1.a))) 5. ==[ beta ]==> (a (^z.(^x1.a))) 6. ==[ alpha ]==> (a (^x.(^y.a))) REDUCED to normal form. ------ 27137/1536345. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 27138/1536414. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(a a)) c)) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(z z)) c)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 27139/1536594. ------ 1. ==[ start ]==> ((^a.(a b))(c d)) 2. ==[ alpha ]==> ((^x.(x b))(c d)) 3. ==[ beta ]==> ((c d) b) REDUCED to normal form. ------ 27140/1536777. ------ 1. ==[ start ]==> (((a b) a)(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 27141/1536912. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^a.(^b.(^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. ------ 27142/1536981. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (^y.(((a (^z.z))(^x1.a))((a (^z.z))(^x1.a)))) 4. ==[ alpha ]==> (^x.(((a (^y.y))(^z.a))((a (^x1.x1))(^y1.a)))) REDUCED to normal form. ------ 27143/1537137. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(y (y y)))) REDUCED to normal form. ------ 27144/1537188. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a (^z.z))(a (^x1.x1)))((a (^z.z))(a (^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)(((a (^y.y))(a (^z.z)))((a (^x1.x1))(a (^y1.y1))))) 5. ==[ beta ]==> (((a (^y.y))(a (^z.z)))((a (^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 27145/1537398. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.(^z.a))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.a))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.a))) REDUCED to normal form. ------ 27146/1537533. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(a (^z.z)))) 7. ==[ beta ]==> ((^y.(a (^z.z)))(^y.(a (^z.z)))) 8. ==[ alpha ]==> ((^x.(a (^y.y)))(^z.(a (^x1.x1)))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 27147/1537578. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^c.b)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.b)) 3. ==[ beta ]==> (b (^z.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 27148/1537587. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 27149/1537677. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^a.b)) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.b)) REDUCED to normal form. ------ 27150/1537704. ------ 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. ------ 27151/1537731. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^a.a)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^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. ------ 27152/1537743. ------ 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. ------ 27153/1537770. ------ 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. ------ 27154/1537797. ------ 1. ==[ start ]==> ((a b)((a (^a.a))(a b))) 2. ==[ alpha ]==> ((a b)((a (^x.x))(a b))) REDUCED to normal form. ------ 27155/1537815. ------ 1. ==[ start ]==> (((a a)(^a.a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(b (^y.(a a)))) REDUCED to normal form. ------ 27156/1537842. ------ 1. ==[ start ]==> (((^a.a) b)(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)(a (^y.(^z.z)))) 3. ==[ beta ]==> (b (a (^y.(^z.z)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 27157/1537869. ------ 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)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 27158/1537887. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 27159/1537896. ------ 1. ==[ start ]==> (((a a) b)((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.b)(a (^y.y)))) 3. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 27160/1537914. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((a a) a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.a))) 5. ==[ beta ]==> (((a a) a)(^y.a)) 6. ==[ alpha ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 27161/1537941. ------ 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.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(z z)))) 7. ==[ beta ]==> ((a (^x.x))(^z.(z z))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 27162/1537950. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 27163/1537968. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a (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. ------ 27164/1537977. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(((^x1.x1)(^y1.y1))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 10. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 27165/1537995. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((a (^x.a))(a (^z.a))) 4. ==[ alpha ]==> ((a (^x.a))(a (^y.a))) REDUCED to normal form. ------ 27166/1538031. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((^y.(^z.z))(a b)) 6. ==[ alpha ]==> ((^x.(^y.y))(a b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 27167/1538076. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(a a)) a)) 3. ==[ beta ]==> ((^y.a)(((^z.z)(a a)) a)) 4. ==[ alpha ]==> ((^x.a)(((^y.y)(a a)) a)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 27168/1538103. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b) b)) 3. ==[ beta ]==> ((^y.y)((a b) b)) 4. ==[ alpha ]==> ((^x.x)((a b) b)) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 27169/1538112. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b) b) REDUCED to normal form. ------ 27170/1538166. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(^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. ------ 27171/1538193. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(a a))(^b.(^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. ------ 27172/1538220. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 27173/1538256. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(b (a b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(b (a b))) 3. ==[ beta ]==> (((a a) a)(b (a b))) REDUCED to normal form. ------ 27174/1538283. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (a a))) REDUCED to normal form. ------ 27175/1538310. ------ 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. ------ 27176/1538337. ------ 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. ------ 27177/1538463. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(b (^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(b (^y.b))) REDUCED to normal form. ------ 27178/1538490. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(a (^z.(a a)))) REDUCED to normal form. ------ 27179/1538517. ------ 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. ------ 27180/1538535. ------ 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. ------ 27181/1538562. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 27182/1538652. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(^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. ------ 27183/1538697. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a b) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b) a)) 3. ==[ beta ]==> ((^y.(^z.z))((a b) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a b) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 27184/1538724. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 27185/1538787. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(x x))(^y.(y y)))) 3. ==[ beta ]==> (((a (a a)) b)((^y.(y y))(^y.(y y)))) 4. ==[ alpha ]==> (((a (a a)) b)((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 27186/1538814. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.a)(^b.(^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)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 27187/1538841. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 27188/1538868. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.b)) REDUCED to normal form. ------ 27189/1538985. ------ 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)(^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. ------ 27190/1539012. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 27191/1539039. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^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))) 5. ==[ beta ]==> ((a a)((a a)((a a) a))) REDUCED to normal form. ------ 27192/1539156. ------ 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.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.(z1 z1)))) 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. ------ 27193/1539210. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a a)(^z.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a a)(^z.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a a)(^z.a))) 5. ==[ beta ]==> (a ((a a)(^z.a))) 6. ==[ alpha ]==> (a ((a a)(^x.a))) REDUCED to normal form. ------ 27194/1539246. ------ 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))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 27195/1539273. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.(^a.a))(^a.(^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. ------ 27196/1539327. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 27197/1539354. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 27198/1539381. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.a)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.a)) REDUCED to normal form. ------ 27199/1539453. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(a a)) c)) 2. ==[ alpha ]==> ((a (^x.b))((^y.(y y)) c)) 3. ==[ beta ]==> ((a (^x.b))(c c)) REDUCED to normal form. ------ 27200/1539471. ------ 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))(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. ------ 27201/1539498. ------ 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.x1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(a (a a)))) REDUCED to normal form. ------ 27202/1539525. ------ 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. ------ 27203/1539624. ------ 1. ==[ start ]==> (((^a.b) a)((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 27204/1539633. ------ 1. ==[ start ]==> ((a (a b))(c d)) REDUCED to normal form. ------ 27205/1539642. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.b)((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.b)((a (^y.y))(^z.(z z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 27206/1539723. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (a a)) b)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (a a)) b)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (a a)) b)) IRREDUCIBLE: cycle. ------ 27207/1539786. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(^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. ------ 27208/1539813. ------ 1. ==[ start ]==> (((a b) a)((^a.a)(^b.(^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. ------ 27209/1539831. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 27210/1539858. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(z z)) b)) 3. ==[ beta ]==> ((^y.y)((^z.(z z)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(y y)) b)) 5. ==[ beta ]==> ((^y.(y y)) b) 6. ==[ alpha ]==> ((^x.(x x)) b) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 27211/1539894. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(c (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(c (^x1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(c (^x1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(c (^z.a))) REDUCED to normal form. ------ 27212/1539921. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(b (^y.(y y)))) REDUCED to normal form. ------ 27213/1539948. ------ 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 REDUCED to normal form. ------ 27214/1539975. ------ 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. ------ 27215/1539993. ------ 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. ------ 27216/1540002. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 27217/1540020. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 27218/1540146. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(b ((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(b ((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(b ((^z.z) a))) 5. ==[ beta ]==> (((^y.y) a)(b ((^z.z) 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. ------ 27219/1540173. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(a (a (a a)))) REDUCED to normal form. ------ 27220/1540200. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x) a)(a a))) 3. ==[ beta ]==> (((a b)(a a))(a (a a))) REDUCED to normal form. ------ 27221/1540227. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(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)))) REDUCED to normal form. ------ 27222/1540236. ------ 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 a) REDUCED to normal form. ------ 27223/1540317. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (^a.a))(^a.(^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. ------ 27224/1540398. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1)) b)) 3. ==[ beta ]==> (b ((a (^x1.x1)) b)) 4. ==[ alpha ]==> (b ((a (^x.x)) b)) REDUCED to normal form. ------ 27225/1540407. ------ 1. ==[ start ]==> (((a b) b)((^a.(^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. ------ 27226/1540434. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.y)(^z.a))) 3. ==[ beta ]==> (((a a) a)((^y.y)(^z.a))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(^y.a))) 5. ==[ beta ]==> (((a a) a)(^y.a)) 6. ==[ alpha ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 27227/1540452. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.a) a)) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a) a)) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a) a)) 5. ==[ beta ]==> ((a a)((^y.a) a)) 6. ==[ alpha ]==> ((a a)((^x.a) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 27228/1540461. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(c (^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(c (^y.y))) REDUCED to normal form. ------ 27229/1540479. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(^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. ------ 27230/1540488. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 27231/1540533. ------ 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.x1))(^y1.y1))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a (^x1.x1))(^y1.y1))) 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)) REDUCED to normal form. ------ 27232/1540542. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.(^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. ------ 27233/1540569. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(a (^z.z)))) 7. ==[ beta ]==> (((^y.y)(a (^z.z)))((^y.y)(a (^z.z)))) 8. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z)(a (^x1.x1)))) 9. ==[ beta ]==> ((a (^y.y))((^z.z)(a (^x1.x1)))) 10. ==[ alpha ]==> ((a (^x.x))((^y.y)(a (^z.z)))) 11. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 12. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 27234/1540596. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(^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. ------ 27235/1540614. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a a) b)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a a) b)) 3. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 27236/1540623. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 27237/1540650. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(b (^z.z))) 3. ==[ beta ]==> (((a a)(^y.y))(b (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (^y.y))) REDUCED to normal form. ------ 27238/1540686. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(b a)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(b a)) 3. ==[ beta ]==> (((a a)(a a))(b a)) REDUCED to normal form. ------ 27239/1540713. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(a b)) 2. ==[ alpha ]==> (((a (^x.x))(a b))(a b)) REDUCED to normal form. ------ 27240/1540740. ------ 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. ------ 27241/1540767. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(a a)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(a a)) 3. ==[ beta ]==> (((a (a a))(^y.y))(a a)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(a a)) REDUCED to normal form. ------ 27242/1541103. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.((^x1.x1)(a a)))) 3. ==[ eta ]==> ((^y.y)(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (^y.((^z.z)(a a))) 6. ==[ alpha ]==> (^x.((^y.y)(a a))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 27243/1541724. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.(a x1))) 3. ==[ eta ]==> ((^x.((^y.y)(^z.z))) a) 4. ==[ beta ]==> ((^y.y)(^z.z)) 5. ==[ alpha ]==> ((^x.x)(^y.y)) 6. ==[ beta ]==> (^y.y) 7. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 27244/1543806. ------ 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))(^y.y)) b) 4. ==[ alpha ]==> (((a (a a))(^x.x)) b) REDUCED to normal form. ------ 27245/1543830. ------ 1. ==[ start ]==> ((^a.(^a.a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 27246/1543875. ------ 1. ==[ start ]==> ((^a.b)(c (^a.b))) 2. ==[ alpha ]==> ((^x.b)(c (^y.b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 27247/1543911. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 27248/1543956. ------ 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)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 27249/1544145. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.z)((^x1.x1)(a a)))) 3. ==[ eta ]==> ((^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. ------ 27250/1544148. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((a a)(^y.((^z.z)(a a)))) 4. ==[ alpha ]==> ((a a)(^x.((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 27251/1544364. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 27252/1544766. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.x1)(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. ------ 27253/1544769. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(a z))) 3. ==[ eta ]==> ((a ((^x.x)(^y.y))) a) 4. ==[ beta ]==> ((a (^y.y)) a) 5. ==[ alpha ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 27254/1545147. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.(^z.b))) REDUCED to normal form. ------ 27255/1545198. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^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)))) 4. ==[ alpha ]==> ((((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1))(a (^z1.z1))))((^x2.(^y2.y2))(a (^z2.z2)))) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))(a (^z1.z1))))((^x2.(^y2.y2))(a (^z2.z2)))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(a (^x1.x1))))((^y1.(^z1.z1))(a (^x2.x2)))) 7. ==[ beta ]==> (((^y.(^z.z))(a (^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2)))) 8. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (^z1.z1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 11. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 12. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 27256/1545531. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (a a))(a (^z.z)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 27257/1545711. ------ 1. ==[ start ]==> ((^a.(a b))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((^y.a)((^z.z) a)) b) 4. ==[ alpha ]==> (((^x.a)((^y.y) a)) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 27258/1545912. ------ 1. ==[ start ]==> (((^a.a)(a b))(^a.((^a.a)(^a.a)))) 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)(^x.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 27259/1546098. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(c c)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(c c)) 3. ==[ beta ]==> (^y.((c c)(c c))) 4. ==[ alpha ]==> (^x.((c c)(c c))) REDUCED to normal form. ------ 27260/1546146. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(a (a a)))) REDUCED to normal form. ------ 27261/1546254. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 27262/1546344. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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 ]==> (^x.a) REDUCED to normal form. ------ 27263/1546533. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^a.((^a.a) a))) 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. ------ 27264/1546704. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^c.b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 27265/1546767. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(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. ------ 27266/1546794. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^b.(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(a a))) REDUCED to normal form. ------ 27267/1546821. ------ 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. ------ 27268/1546848. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^y.y))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 27269/1546878. ------ 1. ==[ start ]==> ((a (^a.a))((a (a a))((^a.a)(^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. ------ 27270/1546905. ------ 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. ------ 27271/1546923. ------ 1. ==[ start ]==> ((a b)(c (^a.b))) 2. ==[ alpha ]==> ((a b)(c (^x.b))) REDUCED to normal form. ------ 27272/1546932. ------ 1. ==[ start ]==> (((^a.a)(a a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))(a b))) 3. ==[ beta ]==> ((a a)((a (^y.y))(a b))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(a b))) REDUCED to normal form. ------ 27273/1546959. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 27274/1546995. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.z))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.z)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.y)) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 27275/1547004. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(a a))(a a))) 3. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 27276/1547022. ------ 1. ==[ start ]==> (((a a) b)((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 27277/1547049. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((a a) a)(^y.a))) REDUCED to normal form. ------ 27278/1547076. ------ 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 y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^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. ------ 27279/1547103. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 27280/1547139. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a)((a a) a))) 3. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 27281/1547157. ------ 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)((a (^z.z))(^x1.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. ------ 27282/1547166. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 27283/1547193. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) 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))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 27284/1547238. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a b) b)) 2. ==[ alpha ]==> (((a (^x.x)) b)((a b) b)) REDUCED to normal form. ------ 27285/1547382. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 27286/1547409. ------ 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 (^y.y)))(^x1.(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(a a))) REDUCED to normal form. ------ 27287/1547454. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.b) b)) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.b) b)) 3. ==[ beta ]==> ((a a)((^y.b) b)) 4. ==[ alpha ]==> ((a a)((^x.b) b)) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 27288/1547472. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a) a)(a (^z.z)))) 3. ==[ beta ]==> ((^y.(y y))(((a a) a)(a (^z.z)))) 4. ==[ alpha ]==> ((^x.(x x))(((a a) a)(a (^y.y)))) 5. ==[ beta ]==> ((((a a) a)(a (^y.y)))(((a a) a)(a (^y.y)))) 6. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 27289/1547499. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^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. ------ 27290/1547553. ------ 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.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.z))) 9. ==[ beta ]==> (a ((^y.y)(^z.z))) 10. ==[ alpha ]==> (a ((^x.x)(^y.y))) 11. ==[ beta ]==> (a (^y.y)) 12. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 27291/1547580. ------ 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. ------ 27292/1547607. ------ 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 b))) 4. ==[ alpha ]==> ((^x.x)((a a)(a b))) 5. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 27293/1547643. ------ 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. ------ 27294/1547670. ------ 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. ------ 27295/1547706. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 27296/1547733. ------ 1. ==[ start ]==> (((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 a)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))(a (a a)))) 5. ==[ beta ]==> (((a (^x.x)) a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 27297/1547760. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 27298/1547778. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (^y.y))(^z.a))) 3. ==[ beta ]==> ((b b)((a (^y.y))(^z.a))) 4. ==[ alpha ]==> ((b b)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 27299/1547787. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 27300/1547814. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.z)(a b))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(a b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(a b))) 5. ==[ beta ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 27301/1547985. ------ 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. ------ 27302/1548021. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.b) a)) 3. ==[ beta ]==> ((a (^y.a))((^z.b) a)) 4. ==[ alpha ]==> ((a (^x.a))((^y.b) a)) 5. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 27303/1548039. ------ 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 (^y.y))(a (^y.y)))(((a a) a)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a) a)(a a))) REDUCED to normal form. ------ 27304/1548075. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) c)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) c)) 7. ==[ beta ]==> ((^y.(^z.z)) c) 8. ==[ alpha ]==> ((^x.(^y.y)) c) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 27305/1548165. ------ 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))) 5. ==[ beta ]==> ((a a)(b (^y.a))) 6. ==[ alpha ]==> ((a a)(b (^x.a))) REDUCED to normal form. ------ 27306/1548192. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(a (^a.b))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(a (^y.b))) REDUCED to normal form. ------ 27307/1548246. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((a ((a a) a))(^y.y)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 27308/1548372. ------ 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. ------ 27309/1548399. ------ 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. ------ 27310/1548498. ------ 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) a)((^y.y) a))(b ((^z.z)(^x1.x1)))) 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 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. ------ 27311/1548561. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 27312/1548579. ------ 1. ==[ start ]==> ((a (^a.b))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((a (a a))(a (^y.y)))) REDUCED to normal form. ------ 27313/1548651. ------ 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. ------ 27314/1548705. ------ 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.y1))(a a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(a a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a a))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 27315/1548732. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(x x))(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a)(a a))((a (^y.y))(a (^y.y)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 27316/1548750. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 27317/1548759. ------ 1. ==[ start ]==> ((a (a b))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((a (a b))((^x.a)((^y.y) a))) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 27318/1548768. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(c d)) 2. ==[ alpha ]==> (((^x.x)(^y.b))(c d)) 3. ==[ beta ]==> ((^y.b)(c d)) 4. ==[ alpha ]==> ((^x.b)(c d)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 27319/1548930. ------ 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. ------ 27320/1548957. ------ 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. ------ 27321/1548966. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 27322/1548984. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a (a a))(a a))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a a))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 27323/1549020. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a) c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a) c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a) c)) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 27324/1549038. ------ 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)))((a (^y.y))((^z.z) a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.x))((^y.y) a))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((a (^x.x)) a)) REDUCED to normal form. ------ 27325/1549101. ------ 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. ------ 27326/1549128. ------ 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. ------ 27327/1549146. ------ 1. ==[ start ]==> ((a (^b.(a a)))(c c)) 2. ==[ alpha ]==> ((a (^x.(a a)))(c c)) REDUCED to normal form. ------ 27328/1549164. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(^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. ------ 27329/1549191. ------ 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 (^x.x))((a a) a))(a (a a))) REDUCED to normal form. ------ 27330/1549218. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.y1))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(z z))(^x1.x1))) 5. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.z))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)(^z.z))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 9. ==[ beta ]==> ((a (^x.x))(^z.z)) 10. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 27331/1549245. ------ 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. ------ 27332/1549272. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.(^a.a))(^b.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. ------ 27333/1549299. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.(z z))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(y y))) REDUCED to normal form. ------ 27334/1549317. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.b) b)((^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. ------ 27335/1549362. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(a a))((a (^y.y))(a (^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 27336/1549389. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((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. ------ 27337/1549443. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(c b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(c b)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(c b)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c b)) 5. ==[ beta ]==> ((^y.y)(c b)) 6. ==[ alpha ]==> ((^x.x)(c b)) 7. ==[ beta ]==> (c b) REDUCED to normal form. ------ 27338/1549524. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(c (a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c (a a))) 3. ==[ beta ]==> (b (c (a a))) REDUCED to normal form. ------ 27339/1549533. ------ 1. ==[ start ]==> (((a b) b)((a (^a.a)) b)) 2. ==[ alpha ]==> (((a b) b)((a (^x.x)) b)) REDUCED to normal form. ------ 27340/1549578. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(a ((^z.z) a))) 3. ==[ beta ]==> (((^y.y)(a a))(a ((^z.z) a))) 4. ==[ alpha ]==> (((^x.x)(a a))(a ((^y.y) a))) 5. ==[ beta ]==> ((a a)(a ((^y.y) a))) 6. ==[ alpha ]==> ((a a)(a ((^x.x) a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 27341/1549587. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.a) a)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a) a)) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 27342/1549605. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((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)) REDUCED to normal form. ------ 27343/1549614. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(^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. ------ 27344/1549668. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 27345/1549695. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))((a a)(^y.(^z.z)))) 7. ==[ beta ]==> (((a a)(^y.(^z.z)))((a a)(^y.(^z.z)))) 8. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 27346/1549722. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a (^y.y)) a)) REDUCED to normal form. ------ 27347/1549740. ------ 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. ------ 27348/1549749. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a a) b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a) b)) REDUCED to normal form. ------ 27349/1549776. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z)) a)) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 27350/1549812. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(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. ------ 27351/1549839. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)(a a))) 3. ==[ beta ]==> (((a (^x.x))(a b))(a a)) REDUCED to normal form. ------ 27352/1549866. ------ 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. ------ 27353/1549893. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(a (^z.z))) 3. ==[ beta ]==> (((a (a a))(^y.y))(a (^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(a (^y.y))) REDUCED to normal form. ------ 27354/1553055. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (^x1.(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 27355/1553067. ------ 1. ==[ start ]==> (((^a.a) b)(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x) b)(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (b (^y.((^z.z)(a a)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(a a)))) 5. ==[ beta ]==> (b (^x.(a a))) REDUCED to normal form. ------ 27356/1553100. ------ 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 ]==> ((((^z.z)(a a))(^x1.x1))(^y.y)) 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. ------ 27357/1553217. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (^x.((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^x.(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (^x.(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (^x.((^z.z)((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> (^x.((^y.y)((^z.z)(^x1.x1)))) 9. ==[ beta ]==> (^x.((^z.z)(^x1.x1))) 10. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 11. ==[ beta ]==> (^x.(^z.z)) 12. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 27358/1553289. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a a)(^z.(a a)))) 3. ==[ eta ]==> ((^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. ------ 27359/1553301. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.a)(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.a)(^y.((^z.z)(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 27360/1553460. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 27361/1553559. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.b) b)) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.b) b)) 3. ==[ beta ]==> (((^y.b) b)(((^y.b) b)((^y.b) b))) 4. ==[ alpha ]==> (((^x.b) b)(((^y.b) b)((^z.b) b))) 5. ==[ beta ]==> (b (((^y.b) b)((^z.b) b))) 6. ==[ alpha ]==> (b (((^x.b) b)((^y.b) b))) 7. ==[ beta ]==> (b (b ((^y.b) b))) 8. ==[ alpha ]==> (b (b ((^x.b) b))) 9. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 27362/1553715. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^c.(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(a b))) REDUCED to normal form. ------ 27363/1553784. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 27364/1553910. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((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. ------ 27365/1553922. ------ 1. ==[ start ]==> (((^a.a)(^b.(^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 ]==> ((^y.(^z.z)) a) 5. ==[ alpha ]==> ((^x.(^y.y)) a) 6. ==[ beta ]==> (^y.y) 7. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 27366/1554120. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(z b))) 3. ==[ beta ]==> ((a (^y.a))(^z.(z b))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(y b))) REDUCED to normal form. ------ 27367/1554342. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((((^y.y)(^z.z))(^x1.(^y1.y1)))(((^y.y)(^z.z))(^x1.(^y1.y1))))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2))))(((^z2.z2)(^x3.x3))(^y3.(^z3.z3)))) 5. ==[ beta ]==> ((((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2))))(((^z2.z2)(^x3.x3))(^y3.(^z3.z3)))) 6. ==[ alpha ]==> ((((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2))))(((^y2.y2)(^z2.z2))(^x3.(^y3.y3)))) 7. ==[ beta ]==> (((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2))))(((^y2.y2)(^z2.z2))(^x3.(^y3.y3)))) 8. ==[ alpha ]==> (((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1))))(((^x2.x2)(^y2.y2))(^z2.(^x3.x3)))) 9. ==[ beta ]==> ((^y.y)(((^x2.x2)(^y2.y2))(^z2.(^x3.x3)))) 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. ------ 27368/1554633. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.((y1 y1) y1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.((y1 y1) y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((x1 x1) x1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.((x1 x1) x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.((z z) z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 27369/1554855. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((((^y.y) a)(^z.a)) b) 4. ==[ alpha ]==> ((((^x.x) a)(^y.a)) b) 5. ==[ beta ]==> ((a (^y.a)) b) 6. ==[ alpha ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 27370/1555056. ------ 1. ==[ start ]==> (((^a.a)(a b))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 27371/1555065. ------ 1. ==[ start ]==> (((a a)(^a.b))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.b))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 27372/1555173. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^c.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(a (a a)))) 5. ==[ beta ]==> ((^y.a)(^z.(a (a a)))) 6. ==[ alpha ]==> ((^x.a)(^y.(a (a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 27373/1555242. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (^y.(((^z.a)(a (^x1.x1)))((^z.a)(a (^x1.x1))))) 4. ==[ alpha ]==> (^x.(((^y.a)(a (^z.z)))((^x1.a)(a (^y1.y1))))) 5. ==[ beta ]==> (^x.(a ((^x1.a)(a (^y1.y1))))) 6. ==[ alpha ]==> (^x.(a ((^y.a)(a (^z.z))))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 27374/1555416. ------ 1. ==[ start ]==> (((^a.b) b)(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(y (y y)))) 3. ==[ beta ]==> (b (^y.(y (y y)))) 4. ==[ alpha ]==> (b (^x.(x (x x)))) REDUCED to normal form. ------ 27375/1555449. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.a) b)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.a) b)) 3. ==[ beta ]==> ((^y.y)(((^z.a) b)((^z.a) b))) 4. ==[ alpha ]==> ((^x.x)(((^y.a) b)((^z.a) b))) 5. ==[ beta ]==> (((^y.a) b)((^z.a) b)) 6. ==[ alpha ]==> (((^x.a) b)((^y.a) b)) 7. ==[ beta ]==> (a ((^y.a) b)) 8. ==[ alpha ]==> (a ((^x.a) b)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 27376/1555677. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.a))) 5. ==[ beta ]==> ((a a)(^y.(^z.a))) 6. ==[ alpha ]==> ((a a)(^x.(^y.a))) REDUCED to normal form. ------ 27377/1555686. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.((^z.z) y))) 3. ==[ eta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 27378/1555758. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.(^y1.x1))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.y1))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(^z1.y1))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.x1))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.x1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.z))) 9. ==[ beta ]==> ((^y.y)(^z.(^x1.z))) 10. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 11. ==[ beta ]==> (^y.(^z.y)) 12. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 27379/1555821. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^a.c)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.c)) REDUCED to normal form. ------ 27380/1555875. ------ 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)))) REDUCED to normal form. ------ 27381/1555911. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^b.b)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.y)) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 27382/1555938. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^c.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.z))) REDUCED to normal form. ------ 27383/1555992. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^b.a)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(^z.a)) 3. ==[ beta ]==> (((a (a a))(^y.y))(^z.a)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.a)) REDUCED to normal form. ------ 27384/1556040. ------ 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. ------ 27385/1556067. ------ 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. ------ 27386/1556094. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(a b))) REDUCED to normal form. ------ 27387/1556112. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.(a a)))) REDUCED to normal form. ------ 27388/1556121. ------ 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. ------ 27389/1556157. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^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. ------ 27390/1556166. ------ 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. ------ 27391/1556193. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.b)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a (^z.z)))) 5. ==[ beta ]==> ((^y.b)(a (^z.z))) 6. ==[ alpha ]==> ((^x.b)(a (^y.y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 27392/1556247. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 27393/1556274. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.a))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.a))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.a))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.a))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.z))) 9. ==[ beta ]==> ((a (^x.a))(^z.z)) 10. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 27394/1556319. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 27395/1556346. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) 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. ------ 27396/1556355. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.a)((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.a)((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 27397/1556382. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.z))) 5. ==[ beta ]==> ((^y.(a a))(^z.z)) 6. ==[ alpha ]==> ((^x.(a a))(^y.y)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 27398/1556463. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 27399/1556517. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 27400/1556589. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(a a)) a)) 3. ==[ beta ]==> ((a (a a))((^y.(a a)) a)) 4. ==[ alpha ]==> ((a (a a))((^x.(a a)) a)) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 27401/1556607. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a b)(a a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a b)(a a))) 3. ==[ beta ]==> ((a a)((a b)(a a))) REDUCED to normal form. ------ 27402/1556616. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.b) b)) 2. ==[ alpha ]==> ((a (a (a a)))((^x.b) b)) 3. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 27403/1556688. ------ 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. ------ 27404/1556715. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x) 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. ------ 27405/1556742. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 27406/1556760. ------ 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)(b (^x1.b))) 4. ==[ alpha ]==> ((^x.x)(b (^y.b))) 5. ==[ beta ]==> (b (^y.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 27407/1556769. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a a)(a b))) REDUCED to normal form. ------ 27408/1556814. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.b)(a a))) 3. ==[ beta ]==> (((a a)(a a))((^y.b)(a a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.b)(a a))) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 27409/1556841. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 27410/1556859. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x)(^y.y))(^z.a))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.y)(^z.a))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)(^y.a))) 5. ==[ beta ]==> (((a a)(a (a a)))(^y.a)) 6. ==[ alpha ]==> (((a a)(a (a a)))(^x.a)) REDUCED to normal form. ------ 27411/1556886. ------ 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 z)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 27412/1556913. ------ 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 (^x.x)))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 27413/1556967. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a a)(^z.b))) 3. ==[ beta ]==> ((a (^y.y))((a a)(^z.b))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(^y.b))) REDUCED to normal form. ------ 27414/1556976. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 27415/1557003. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.z))) 5. ==[ beta ]==> ((^y.b)(^z.z)) 6. ==[ alpha ]==> ((^x.b)(^y.y)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 27416/1557057. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.(^a.a))(^b.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. ------ 27417/1557111. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.a)(^b.(^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))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 27418/1557120. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(c (^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c (^z.z))) REDUCED to normal form. ------ 27419/1557147. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(b ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(b ((a a) a))) REDUCED to normal form. ------ 27420/1557174. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(a (a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(a (a b))) 3. ==[ beta ]==> ((a (^y.a))(a (a b))) 4. ==[ alpha ]==> ((a (^x.a))(a (a b))) REDUCED to normal form. ------ 27421/1557201. ------ 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. ------ 27422/1557228. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(a (^x1.x1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.z))) 9. ==[ beta ]==> ((^y.y)(a (^z.z))) 10. ==[ alpha ]==> ((^x.x)(a (^y.y))) 11. ==[ beta ]==> (a (^y.y)) 12. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 27423/1557372. ------ 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. ------ 27424/1557399. ------ 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)))) 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. ------ 27425/1557435. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))((^z1.z1) 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. ------ 27426/1557489. ------ 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.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 27427/1557570. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.(^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)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 27428/1557597. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.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. ------ 27429/1557651. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a ((^x.x) 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. ------ 27430/1557660. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(b (^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(b (^y.y))) REDUCED to normal form. ------ 27431/1557687. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(a ((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(a ((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a ((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))(a ((a a) a))) 6. ==[ alpha ]==> ((^x.(^y.y))(a ((a a) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 27432/1557714. ------ 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)(^x.x))((^z.z)(a a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(a a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form. ------ 27433/1557858. ------ 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))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.x1))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 9. ==[ beta ]==> ((a (^x.x))(^z.z)) 10. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 27434/1557885. ------ 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. ------ 27435/1557912. ------ 1. ==[ start ]==> ((a (a b))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((a (a b))(((^x.x) a)(^y.a))) 3. ==[ beta ]==> ((a (a b))(a (^y.a))) 4. ==[ alpha ]==> ((a (a b))(a (^x.a))) REDUCED to normal form. ------ 27436/1557921. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.b)((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.b)((^y.a)((^z.z) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 27437/1558002. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(^y1.y1))) IRREDUCIBLE: cycle. ------ 27438/1558065. ------ 1. ==[ start ]==> ((((a a) a) b)(c ((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a) b)(c ((^x.x) a))) 3. ==[ beta ]==> ((((a a) a) b)(c a)) REDUCED to normal form. ------ 27439/1558083. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (b ((^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. ------ 27440/1558092. ------ 1. ==[ start ]==> (((a b) a)(b (a (a a)))) REDUCED to normal form. ------ 27441/1558110. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 27442/1558119. ------ 1. ==[ start ]==> (((a a)(^a.b))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.b))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.b))(a (^y.y))) REDUCED to normal form. ------ 27443/1558173. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a)(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(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. ------ 27444/1558200. ------ 1. ==[ start ]==> (((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))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((a (^y.y)) a)) REDUCED to normal form. ------ 27445/1558227. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a a)(a (a a)))) 5. ==[ beta ]==> ((^y.a)((a a)(a (a a)))) 6. ==[ alpha ]==> ((^x.a)((a a)(a (a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 27446/1558272. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 27447/1558299. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 27448/1558317. ------ 1. ==[ start ]==> (((a a)(a b))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(a b))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 27449/1558344. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a a)(^y.(y y)))) REDUCED to normal form. ------ 27450/1558371. ------ 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 (^y.y))((a (a a)) a)) 6. ==[ alpha ]==> ((a (^x.x))((a (a a)) a)) REDUCED to normal form. ------ 27451/1558398. ------ 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. ------ 27452/1558470. ------ 1. ==[ start ]==> (((^a.b) b)(a (a (a a)))) 2. ==[ alpha ]==> (((^x.b) b)(a (a (a a)))) 3. ==[ beta ]==> (b (a (a (a a)))) REDUCED to normal form. ------ 27453/1558479. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a b)(a a))((^x.(x x)) a)) 3. ==[ beta ]==> (((a b)(a a))(a a)) REDUCED to normal form. ------ 27454/1558506. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.a) b)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.a) b)) 3. ==[ beta ]==> ((a (a a))((^y.a) b)) 4. ==[ alpha ]==> ((a (a a))((^x.a) b)) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 27455/1558515. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(c (^a.(^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. ------ 27456/1558542. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(b (^x1.a))) 3. ==[ beta ]==> ((^y.y)(b (^x1.a))) 4. ==[ alpha ]==> ((^x.x)(b (^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 27457/1558596. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(a a))) 5. ==[ beta ]==> ((^y.y)((^y1.a)(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(a a))) 7. ==[ beta ]==> ((^y.a)(a a)) 8. ==[ alpha ]==> ((^x.a)(a a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 27458/1558677. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (b ((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> (b ((^x.a)(^y.y))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 27459/1558686. ------ 1. ==[ start ]==> (((a b) b)(c (a a))) REDUCED to normal form. ------ 27460/1558713. ------ 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. ------ 27461/1558731. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(^z.a))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.a))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.a))) 7. ==[ beta ]==> ((a a)(^y.a)) 8. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 27462/1558740. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(a ((^y.y) a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a a)) REDUCED to normal form. ------ 27463/1558758. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(c (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(c (^z.z))) 3. ==[ beta ]==> ((^y.y)(c (^z.z))) 4. ==[ alpha ]==> ((^x.x)(c (^y.y))) 5. ==[ beta ]==> (c (^y.y)) 6. ==[ alpha ]==> (c (^x.x)) REDUCED to normal form. ------ 27464/1558767. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (^z.z))(a a))) REDUCED to normal form. ------ 27465/1558812. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(a (^x1.a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(a (^x1.a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(a (^y1.a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(a (^y1.a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a (^x1.a))) 7. ==[ beta ]==> (((^y.y)(^z.z))(a (^x1.a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.a))) 9. ==[ beta ]==> ((^y.y)(a (^z.a))) 10. ==[ alpha ]==> ((^x.x)(a (^y.a))) 11. ==[ beta ]==> (a (^y.a)) 12. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 27466/1558821. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(c a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(c a)) REDUCED to normal form. ------ 27467/1558848. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(b b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(b b)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(b b)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b b)) 5. ==[ beta ]==> ((^y.(y y))(b b)) 6. ==[ alpha ]==> ((^x.(x x))(b b)) 7. ==[ beta ]==> ((b b)(b b)) REDUCED to normal form. ------ 27468/1558875. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(a c)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(a c)) REDUCED to normal form. ------ 27469/1558893. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(^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. ------ 27470/1558902. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(b (a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b (a a))) REDUCED to normal form. ------ 27471/1558929. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(a (a (^a.a)))) 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. ------ 27472/1558965. ------ 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. ------ 27473/1558992. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a a)(^y.y))) REDUCED to normal form. ------ 27474/1559019. ------ 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. ------ 27475/1559046. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.z) a)) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.z) a)) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y) a)) 5. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 27476/1559072. ------ 1. ==[ start ]==> (^a.(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (^x.(((^y.y)(^z.z))(x (x x)))) 3. ==[ beta ]==> (^x.((^z.z)(x (x x)))) 4. ==[ alpha ]==> (^x.((^y.y)(x (x x)))) 5. ==[ beta ]==> (^x.(x (x x))) REDUCED to normal form. ------ 27477/1559073. ------ 1. ==[ start ]==> (a (((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (a (((^x.x)(^y.y))(a (a a)))) 3. ==[ beta ]==> (a ((^y.y)(a (a a)))) 4. ==[ alpha ]==> (a ((^x.x)(a (a a)))) 5. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 27478/1562130. ------ 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. ------ 27479/1562136. ------ 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. ------ 27480/1562163. ------ 1. ==[ start ]==> ((^a.(a a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))((^y.y)(^z.z)))((a (a a))((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a (a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(^y.y))((a (a a))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a (a a))(^x.x))((a (a a))((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a (a a))(^x.x))((a (a a))(^z.z))) 8. ==[ alpha ]==> (((a (a a))(^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 27481/1562190. ------ 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. ------ 27482/1562388. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (a a))(^b.(^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. ------ 27483/1562472. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^c.(^b.(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. ------ 27484/1562706. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> ((a (a a))(^y.((^z.z)(y y)))) 4. ==[ alpha ]==> ((a (a a))(^x.((^y.y)(x x)))) 5. ==[ beta ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 27485/1562730. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a b)(a a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a b)(a a))) 3. ==[ beta ]==> (((a b)(a a))(((a b)(a a))((a b)(a a)))) REDUCED to normal form. ------ 27486/1562913. ------ 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. ------ 27487/1562955. ------ 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. ------ 27488/1563093. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^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. ------ 27489/1563291. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(^x1.z))) 3. ==[ beta ]==> ((a (^y.a))(^z.(^x1.z))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.y))) REDUCED to normal form. ------ 27490/1563642. ------ 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. ------ 27491/1563804. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 27492/1563846. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 27493/1564236. ------ 1. ==[ start ]==> (((a a)(^a.b))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 27494/1564371. ------ 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. ------ 27495/1564413. ------ 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. ------ 27496/1564587. ------ 1. ==[ start ]==> (((^a.b) b)(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(^z.(z z)))) 3. ==[ beta ]==> (b (^y.(^z.(z z)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 27497/1564596. ------ 1. ==[ start ]==> (((a b)(a a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(x (x x)))) REDUCED to normal form. ------ 27498/1564620. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z) a)(a a))) 3. ==[ beta ]==> ((^y.y)((((^z.z) a)(a a))(((^z.z) a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((((^y.y) a)(a a))(((^z.z) a)(a a)))) 5. ==[ beta ]==> ((((^y.y) a)(a a))(((^z.z) a)(a a))) 6. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y) a)(a a))) 7. ==[ beta ]==> ((a (a a))(((^y.y) a)(a a))) 8. ==[ alpha ]==> ((a (a a))(((^x.x) a)(a a))) 9. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 27499/1564857. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.a))) REDUCED to normal form. ------ 27500/1564929. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^b.c)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.c)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.c)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.c)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.c)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.c)) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.c)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.c)) 9. ==[ beta ]==> ((^y.y)(^z.c)) 10. ==[ alpha ]==> ((^x.x)(^y.c)) 11. ==[ beta ]==> (^y.c) 12. ==[ alpha ]==> (^x.c) REDUCED to normal form. ------ 27501/1564938. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 27502/1564992. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(a (^z.z)))) REDUCED to normal form. ------ 27503/1565046. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^b.(^a.(^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. ------ 27504/1565136. ------ 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. ------ 27505/1565163. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^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. ------ 27506/1565190. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(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. ------ 27507/1565202. ------ 1. ==[ start ]==> ((a a)(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(a (a a)))) 3. ==[ beta ]==> ((a a)((^y.y)(a (a a)))) 4. ==[ alpha ]==> ((a a)((^x.x)(a (a a)))) 5. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 27508/1565229. ------ 1. ==[ start ]==> ((a (a a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((a (a a))((^x.x)(^y.y)))) 3. ==[ beta ]==> ((a (a a))((a (a a))(^y.y))) 4. ==[ alpha ]==> ((a (a a))((a (a a))(^x.x))) REDUCED to normal form. ------ 27509/1565256. ------ 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. ------ 27510/1565301. ------ 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. ------ 27511/1565310. ------ 1. ==[ start ]==> (((a a)(a a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a a))((a a)((^x.x)(a a)))) 3. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 27512/1565346. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^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. ------ 27513/1565355. ------ 1. ==[ start ]==> (((a a) b)((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a a) b)((^x.(a a))(a a))) 3. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 27514/1565373. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 27515/1565382. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 27516/1565400. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a) a)(^z.a))) 3. ==[ beta ]==> ((a (^y.y))(((a a) a)(^z.a))) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.a))) REDUCED to normal form. ------ 27517/1565427. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 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. ------ 27518/1565436. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 27519/1565454. ------ 1. ==[ start ]==> ((a (^b.a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 27520/1565490. ------ 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)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 27521/1565535. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a a)(^b.(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. ------ 27522/1565562. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 27523/1565571. ------ 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 (^x.x)) b)(a a)) REDUCED to normal form. ------ 27524/1565598. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 27525/1565625. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 27526/1565652. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(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. ------ 27527/1565679. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 27528/1565742. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(b (a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (a b))) REDUCED to normal form. ------ 27529/1565769. ------ 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. ------ 27530/1565796. ------ 1. ==[ start ]==> ((a (a (a a)))((a b)(a a))) REDUCED to normal form. ------ 27531/1565805. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.b) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.b) b)) 3. ==[ beta ]==> ((^y.(y y))((^z.b) b)) 4. ==[ alpha ]==> ((^x.(x x))((^y.b) b)) 5. ==[ beta ]==> (((^y.b) b)((^y.b) b)) 6. ==[ alpha ]==> (((^x.b) b)((^y.b) b)) 7. ==[ beta ]==> (b ((^y.b) b)) 8. ==[ alpha ]==> (b ((^x.b) b)) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 27532/1565832. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.a) c)) 3. ==[ beta ]==> ((^y.y)((^x1.a) c)) 4. ==[ alpha ]==> ((^x.x)((^y.a) c)) 5. ==[ beta ]==> ((^y.a) c) 6. ==[ alpha ]==> ((^x.a) c) 7. ==[ beta ]==> a REDUCED to normal form. ------ 27533/1565949. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(b (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(b (^z.b))) REDUCED to normal form. ------ 27534/1565976. ------ 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. ------ 27535/1565994. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a b)(^y.y))) 3. ==[ beta ]==> (((a a)(a a))((a b)(^y.y))) 4. ==[ alpha ]==> (((a a)(a a))((a b)(^x.x))) REDUCED to normal form. ------ 27536/1566003. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.b)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.b)(a a))) 3. ==[ beta ]==> (((a (a a))(^x.x)) b) REDUCED to normal form. ------ 27537/1566021. ------ 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. ------ 27538/1566111. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b b)((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b b)((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 27539/1566156. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((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. ------ 27540/1566183. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 27541/1566246. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.(^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. ------ 27542/1566273. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> (a ((^y.(y y))(^z.(z z)))) 6. ==[ alpha ]==> (a ((^x.(x x))(^y.(y y)))) 7. ==[ beta ]==> (a ((^y.(y y))(^y.(y y)))) 8. ==[ alpha ]==> (a ((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 27543/1566300. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 27544/1566354. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.z)(^x1.b))) 3. ==[ beta ]==> ((a (^y.a))((^z.z)(^x1.b))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.b))) 5. ==[ beta ]==> ((a (^x.a))(^z.b)) 6. ==[ alpha ]==> ((a (^x.a))(^y.b)) REDUCED to normal form. ------ 27545/1566372. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.b) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.b) a)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.b) a)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.b) a)) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 27546/1566444. ------ 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)(^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. ------ 27547/1566471. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(a (a (a a)))) REDUCED to normal form. ------ 27548/1566498. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a a)((a (^y.y))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((a (^x.x))((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a)((a (^x.x))(^z.z))) 8. ==[ alpha ]==> ((a a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 27549/1566525. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a a)((a a) a))) REDUCED to normal form. ------ 27550/1566615. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (a a))(^b.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. ------ 27551/1566669. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a ((a (^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (a ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 27552/1566705. ------ 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. ------ 27553/1566750. ------ 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. ------ 27554/1566786. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.a)(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)(^y1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 27555/1566813. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 27556/1566840. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(^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. ------ 27557/1566912. ------ 1. ==[ start ]==> ((a (^a.b))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 27558/1566930. ------ 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. ------ 27559/1566957. ------ 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.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1) a)((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a ((^x1.x1) a))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(a ((^z.z) a))) 7. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 27560/1566984. ------ 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. ------ 27561/1567011. ------ 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. ------ 27562/1567083. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 27563/1567101. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((^y.b)(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> ((^x.b)(((^y.y) a)(^z.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 27564/1567182. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(^x1.x1)) a)) IRREDUCIBLE: cycle. ------ 27565/1567245. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.a)(^y.a))) 3. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 27566/1567272. ------ 1. ==[ start ]==> (((a b) a)((^a.(^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. ------ 27567/1567299. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 27568/1567317. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 5. ==[ beta ]==> ((^y.(^z.z)) a) 6. ==[ alpha ]==> ((^x.(^y.y)) a) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 27569/1567371. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.a) c)) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.a) c)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.a) c)) 5. ==[ beta ]==> (((a (a a))(a (a a))) a) REDUCED to normal form. ------ 27570/1567407. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(b (^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(b (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(b (^z.(z z)))) 5. ==[ beta ]==> ((^y.a)(b (^z.(z z)))) 6. ==[ alpha ]==> ((^x.a)(b (^y.(y y)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 27571/1567434. ------ 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. ------ 27572/1567452. ------ 1. ==[ start ]==> (((^a.b)(a a))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a a))((a (a a))(^y.y))) 3. ==[ beta ]==> (b ((a (a a))(^y.y))) 4. ==[ alpha ]==> (b ((a (a a))(^x.x))) REDUCED to normal form. ------ 27573/1567461. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(y y))(a a))) 3. ==[ beta ]==> (((a b)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 27574/1567479. ------ 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. ------ 27575/1567497. ------ 1. ==[ start ]==> (((a a)(a b))(c c)) REDUCED to normal form. ------ 27576/1567632. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(b ((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(b a)) REDUCED to normal form. ------ 27577/1567650. ------ 1. ==[ start ]==> (((^a.b) b)((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (b ((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(y y)))) 5. ==[ beta ]==> (b (^y.(y y))) 6. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 27578/1567659. ------ 1. ==[ start ]==> (((a b)(a a))(a (a (a a)))) REDUCED to normal form. ------ 27579/1567686. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(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))) 5. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 27580/1567695. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a) b)) 3. ==[ beta ]==> ((^y.(a a))((^z.a) b)) 4. ==[ alpha ]==> ((^x.(a a))((^y.a) b)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 27581/1567722. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(^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. ------ 27582/1567776. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.z1))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.z1))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.z))) 7. ==[ beta ]==> (((^y.y) a)(^z.z)) 8. ==[ alpha ]==> (((^x.x) a)(^y.y)) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 27583/1567857. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1) a) a)) 3. ==[ beta ]==> (b (((^x1.x1) a) a)) 4. ==[ alpha ]==> (b (((^x.x) a) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 27584/1567866. ------ 1. ==[ start ]==> (((a b) b)((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a b) b)((^x.a)(^y.y))) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 27585/1567893. ------ 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)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 27586/1567920. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.a)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.a)) REDUCED to normal form. ------ 27587/1567938. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 27588/1567947. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(c (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(c (^z.z))) REDUCED to normal form. ------ 27589/1568001. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 27590/1568028. ------ 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.y1))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(a a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(a a))) 7. ==[ beta ]==> (((^y.(^z.z))(a a))((^y.(^z.z))(a a))) 8. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.x1))(a a))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a a))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 11. ==[ beta ]==> ((^y.(^z.z))(a a)) 12. ==[ alpha ]==> ((^x.(^y.y))(a a)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 27591/1568055. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(a (^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(a (^y.y))) REDUCED to normal form. ------ 27592/1568073. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a (^z.z)) a)) 3. ==[ beta ]==> (b ((a (^z.z)) a)) 4. ==[ alpha ]==> (b ((a (^x.x)) a)) REDUCED to normal form. ------ 27593/1568082. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 27594/1568109. ------ 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)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 27595/1568145. ------ 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. ------ 27596/1568172. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(b a)) 2. ==[ alpha ]==> (((a (^x.x))(a b))(b a)) REDUCED to normal form. ------ 27597/1568199. ------ 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. ------ 27598/1568226. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(a (a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^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. ------ 27599/1568253. ------ 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. ------ 27600/1571319. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a))) b) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a))) b) 3. ==[ beta ]==> (((^y.y)(a (a a))) b) 4. ==[ alpha ]==> (((^x.x)(a (a a))) b) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 27601/1571343. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 27602/1571424. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 27603/1571658. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1))(a b))) 3. ==[ eta ]==> ((^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. ------ 27604/1571904. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^b.(^b.(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. ------ 27605/1572279. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 27606/1572507. ------ 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 (^y.y))(a (^y.y)))(^z.(z b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(z b))) REDUCED to normal form. ------ 27607/1572687. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.(^x1.b))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.b))) 5. ==[ beta ]==> ((a a)(^y.(^z.b))) 6. ==[ alpha ]==> ((a a)(^x.(^y.b))) REDUCED to normal form. ------ 27608/1572840. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^c.(^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. ------ 27609/1573044. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 27610/1573224. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (((^y.(y y))(a (^z.z))) b) 4. ==[ alpha ]==> (((^x.(x x))(a (^y.y))) b) 5. ==[ beta ]==> (((a (^y.y))(a (^y.y))) b) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 27611/1573452. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 27612/1573686. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(^x1.(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(^x1.(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(a (a a)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(a (a a)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(a (a a)))) REDUCED to normal form. ------ 27613/1573785. ------ 1. ==[ start ]==> (((^a.b) b)(^c.d)) 2. ==[ alpha ]==> (((^x.b) b)(^y.d)) 3. ==[ beta ]==> (b (^y.d)) 4. ==[ alpha ]==> (b (^x.d)) REDUCED to normal form. ------ 27614/1573794. ------ 1. ==[ start ]==> (((a b)(a a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 27615/1574055. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^c.c)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 27616/1574073. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.(^y.y))(a b))(^x1.x1)) 4. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.z)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 27617/1574136. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^b.c)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.c)) REDUCED to normal form. ------ 27618/1574190. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 27619/1574208. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^a.c)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.c)) 3. ==[ beta ]==> (b (^z.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 27620/1574307. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 27621/1574334. ------ 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. ------ 27622/1574361. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^y.y))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 27623/1574388. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(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. ------ 27624/1574418. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a (^x.x))((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(a (a a)))) 5. ==[ beta ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 27625/1574445. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(^y.y))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 27626/1574472. ------ 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. ------ 27627/1574499. ------ 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. ------ 27628/1574517. ------ 1. ==[ start ]==> (((a a)(a a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a a))(b (^x.(a a)))) REDUCED to normal form. ------ 27629/1574562. ------ 1. ==[ start ]==> (((a a) b)(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a a) b)(((^x.x)(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. ------ 27630/1574589. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 27631/1574616. ------ 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. ------ 27632/1574643. ------ 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.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(x1 x1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(z z))) REDUCED to normal form. ------ 27633/1574679. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 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. ------ 27634/1574697. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^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. ------ 27635/1574706. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 27636/1574733. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(a b))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(a b))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 27637/1574778. ------ 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 (^x.x)) b)((a a) a)) REDUCED to normal form. ------ 27638/1574805. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a b) b)) 2. ==[ alpha ]==> ((((^x.x) a) a)((a b) b)) 3. ==[ beta ]==> ((a a)((a b) b)) REDUCED to normal form. ------ 27639/1574832. ------ 1. ==[ start ]==> (((a a)(^b.a))(((a a) a) c)) 2. ==[ alpha ]==> (((a a)(^x.a))(((a a) a) c)) REDUCED to normal form. ------ 27640/1574922. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a) a)((^y.a)(^z.a))) 4. ==[ alpha ]==> (((a a) a)((^x.a)(^y.a))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 27641/1574949. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 27642/1574976. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^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. ------ 27643/1574994. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(a a)) a)) 3. ==[ beta ]==> ((a a)((^y.(a a)) a)) 4. ==[ alpha ]==> ((a a)((^x.(a a)) a)) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 27644/1575012. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a b)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a b)(a a))) 3. ==[ beta ]==> ((^y.(y y))((a b)(a a))) 4. ==[ alpha ]==> ((^x.(x x))((a b)(a a))) 5. ==[ beta ]==> (((a b)(a a))((a b)(a a))) REDUCED to normal form. ------ 27645/1575039. ------ 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)(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. ------ 27646/1575093. ------ 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. ------ 27647/1575120. ------ 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))(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. ------ 27648/1575147. ------ 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 (^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. ------ 27649/1575210. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a b)(^y.y))) REDUCED to normal form. ------ 27650/1575273. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 27651/1575300. ------ 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. ------ 27652/1575318. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b b)(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b b)(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b b)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((b b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 27653/1575327. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 27654/1575354. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 27655/1575453. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x)(^y.y)) c)) 3. ==[ beta ]==> (((a (a a)) b)((^y.y) c)) 4. ==[ alpha ]==> (((a (a a)) b)((^x.x) c)) 5. ==[ beta ]==> (((a (a a)) b) c) REDUCED to normal form. ------ 27656/1575579. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(a (a b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(a (a b))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(a (a b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (a b))) REDUCED to normal form. ------ 27657/1575588. ------ 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. ------ 27658/1575732. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(b (^c.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(b (^y.a))) REDUCED to normal form. ------ 27659/1575759. ------ 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. ------ 27660/1575912. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a a)(^c.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. ------ 27661/1575939. ------ 1. ==[ start ]==> ((((a a) a) a)(((a a) a) a)) REDUCED to normal form. ------ 27662/1575993. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (a a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (a a)) c)) REDUCED to normal form. ------ 27663/1576119. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> ((a (^x.b))((^z.z)(a a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.y)(a a))) 5. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 27664/1576218. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(b (^b.(^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. ------ 27665/1576272. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))(a a))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 27666/1576290. ------ 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. ------ 27667/1576299. ------ 1. ==[ start ]==> ((a (a b))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.(x x))(a (^y.y)))) 3. ==[ beta ]==> ((a (a b))((a (^y.y))(a (^y.y)))) 4. ==[ alpha ]==> ((a (a b))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 27668/1576452. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a) a) c)) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x) a) c)) 3. ==[ beta ]==> ((((a a) a) b)(a c)) REDUCED to normal form. ------ 27669/1576470. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(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. ------ 27670/1576497. ------ 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. ------ 27671/1576524. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (a ((^y.y)(^z.z))) 6. ==[ alpha ]==> (a ((^x.x)(^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 27672/1576560. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1)) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z)) b)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(b b)) REDUCED to normal form. ------ 27673/1576578. ------ 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. ------ 27674/1576587. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.a) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.a) c)) 3. ==[ beta ]==> (((a (a a))(^x.(x x))) a) REDUCED to normal form. ------ 27675/1576668. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 27676/1576704. ------ 1. ==[ start ]==> (((a a)(a b))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.a)(a (^y.y)))) 3. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 27677/1576731. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(^z.z))((^x1.x1) 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. ------ 27678/1576758. ------ 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)(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.z)(a (a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(a (a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(a (a a)))) 7. ==[ beta ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 27679/1576785. ------ 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. ------ 27680/1576812. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.a)(^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. ------ 27681/1576839. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 27682/1576866. ------ 1. ==[ start ]==> (((a b)(a a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.x)(^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. ------ 27683/1576902. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(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))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 27684/1576929. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((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. ------ 27685/1577073. ------ 1. ==[ start ]==> (((a b) b)(((^a.a) a) a)) 2. ==[ alpha ]==> (((a b) b)(((^x.x) a) a)) 3. ==[ beta ]==> (((a b) b)(a a)) REDUCED to normal form. ------ 27686/1577100. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((a (^y.y)) b)) 3. ==[ beta ]==> (((a a) a)((a (^y.y)) b)) 4. ==[ alpha ]==> (((a a) a)((a (^x.x)) b)) REDUCED to normal form. ------ 27687/1577118. ------ 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. ------ 27688/1577127. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a a) c)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a a) c)) REDUCED to normal form. ------ 27689/1577145. ------ 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)(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. ------ 27690/1577154. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 27691/1577199. ------ 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 ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a a)(a (^y1.y1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a a)(a (^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a)(a (^x1.x1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a a)(a (^x1.x1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(a (^z.z)))) 9. ==[ beta ]==> ((^y.y)((a a)(a (^z.z)))) 10. ==[ alpha ]==> ((^x.x)((a a)(a (^y.y)))) 11. ==[ beta ]==> ((a a)(a (^y.y))) 12. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 27692/1577208. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.a) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z) c)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) c) REDUCED to normal form. ------ 27693/1577235. ------ 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.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.(y y))((a (^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(^z.z))) 7. ==[ beta ]==> (((a (^y.y))(^z.z))((a (^y.y))(^z.z))) 8. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 27694/1577262. ------ 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. ------ 27695/1577280. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(a c)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(a c)) 3. ==[ beta ]==> (b (a c)) REDUCED to normal form. ------ 27696/1577289. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 27697/1577316. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a a) b)) 3. ==[ beta ]==> (((a a)(^y.y))((a a) b)) 4. ==[ alpha ]==> (((a a)(^x.x))((a a) b)) REDUCED to normal form. ------ 27698/1577352. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(b (^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(b (^y.y))) 3. ==[ beta ]==> (((a a)(a a))(b (^y.y))) 4. ==[ alpha ]==> (((a a)(a a))(b (^x.x))) REDUCED to normal form. ------ 27699/1577379. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(a (^y.(^z.z)))) REDUCED to normal form. ------ 27700/1577406. ------ 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. ------ 27701/1577433. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 27702/1577460. ------ 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. ------ 27703/1580811. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.(^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. ------ 27704/1580883. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (^z.z))(^x1.b))) 3. ==[ eta ]==> ((^y.y)((a (^z.z))(^x1.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. ------ 27705/1580922. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.y)(^y1.((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (^y.((^z.z)(a a))) 6. ==[ alpha ]==> (^x.((^y.y)(a a))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 27706/1581054. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 27707/1581147. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.((^z.z)(y y)))) 3. ==[ beta ]==> ((a a)(^y.((^z.z)(y y)))) 4. ==[ alpha ]==> ((a a)(^x.((^y.y)(x x)))) 5. ==[ beta ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 27708/1581153. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(a a)) a)) 3. ==[ beta ]==> (((^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))) 5. ==[ beta ]==> ((a a)(((^y.(a a)) a)((^z.(a a)) a))) 6. ==[ alpha ]==> ((a a)(((^x.(a 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))) 9. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 27709/1581354. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(^y.(^z.(y y)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.(y y)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(x x)))) REDUCED to normal form. ------ 27710/1581378. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b)(a a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 27711/1581543. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(^x1.(a x1))) 3. ==[ eta ]==> (((^x.(^y.y))(^z.(z z))) a) 4. ==[ beta ]==> ((^y.y) a) 5. ==[ alpha ]==> ((^x.x) a) 6. ==[ beta ]==> a REDUCED to normal form. ------ 27712/1581732. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.(^x1.z))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.(^x1.z))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 27713/1581741. ------ 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. ------ 27714/1581936. ------ 1. ==[ start ]==> ((^a.((a a) a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((^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))) 4. ==[ alpha ]==> (((((a a) a)(^x.x))(((a a) a)(^y.y)))(((a a) a)(^z.z))) REDUCED to normal form. ------ 27715/1582254. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^a.((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.((y y) y))) REDUCED to normal form. ------ 27716/1582449. ------ 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. ------ 27717/1582542. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.((^x1.x1)(^y1.y1)))) IRREDUCIBLE: cycle. ------ 27718/1582677. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 27719/1582812. ------ 1. ==[ start ]==> (((^a.b)(a a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 27720/1582836. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(z z))(a a))) 3. ==[ beta ]==> (^y.(((^z.(z z))(a a))((^z.(z z))(a a)))) 4. ==[ alpha ]==> (^x.(((^y.(y y))(a a))((^z.(z z))(a a)))) 5. ==[ beta ]==> (^x.(((a a)(a a))((^z.(z z))(a a)))) 6. ==[ alpha ]==> (^x.(((a a)(a a))((^y.(y y))(a a)))) 7. ==[ beta ]==> (^x.(((a a)(a a))((a a)(a a)))) REDUCED to normal form. ------ 27721/1583019. ------ 1. ==[ start ]==> (((a b)(a a))(^c.d)) 2. ==[ alpha ]==> (((a b)(a a))(^x.d)) REDUCED to normal form. ------ 27722/1583043. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(z z)) a)) 3. ==[ beta ]==> ((^y.y)(((^z.(z z)) a)((^z.(z z)) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.(y y)) a)((^z.(z z)) a))) 5. ==[ beta ]==> (((^y.(y y)) a)((^z.(z z)) a)) 6. ==[ alpha ]==> (((^x.(x x)) 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. ------ 27723/1583136. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(z1 z1)))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.(z1 z1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 7. ==[ beta ]==> (^y.(^z.(z z))) 8. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 27724/1583217. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> (b (^x1.((^y1.y1) a))) 4. ==[ alpha ]==> (b (^x.((^y.y) a))) 5. ==[ beta ]==> (b (^x.a)) REDUCED to normal form. ------ 27725/1583298. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^b.(^b.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. ------ 27726/1583307. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 27727/1583361. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 27728/1583433. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (b (^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 27729/1583442. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^a.c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.c)) REDUCED to normal form. ------ 27730/1583532. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^b.b)) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 27731/1583613. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(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. ------ 27732/1583661. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> (a (((^y.y)(^z.z))(a (a a)))) 4. ==[ alpha ]==> (a (((^x.x)(^y.y))(a (a a)))) 5. ==[ beta ]==> (a ((^y.y)(a (a a)))) 6. ==[ alpha ]==> (a ((^x.x)(a (a a)))) 7. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 27733/1583688. ------ 1. ==[ start ]==> (((a a) a)((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((a (a a))((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a a) a)((a (a a))(^y.y))) 4. ==[ alpha ]==> (((a a) a)((a (a a))(^x.x))) REDUCED to normal form. ------ 27734/1583715. ------ 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. ------ 27735/1583742. ------ 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))) REDUCED to normal form. ------ 27736/1583769. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a a)((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)((^y.y)(a a))) 6. ==[ alpha ]==> ((a a)((^x.x)(a a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 27737/1583814. ------ 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)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 27738/1583841. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 27739/1583895. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(^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. ------ 27740/1583913. ------ 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)))) REDUCED to normal form. ------ 27741/1583967. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))(^z.b))) 3. ==[ beta ]==> ((a a)((a (^y.y))(^z.b))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(^y.b))) REDUCED to normal form. ------ 27742/1583976. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(a b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 27743/1584003. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)((^z1.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. ------ 27744/1584057. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (a ((^y.b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.b)(^y.(^z.z)))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 27745/1584138. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(x x)))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 27746/1584228. ------ 1. ==[ start ]==> (((^a.(a a)) a)(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(a ((^y.y)(a a)))) 3. ==[ beta ]==> ((a a)(a ((^y.y)(a a)))) 4. ==[ alpha ]==> ((a a)(a ((^x.x)(a a)))) 5. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 27747/1584237. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(a a)) a)) 3. ==[ beta ]==> ((a (a (a a)))(a a)) REDUCED to normal form. ------ 27748/1584309. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^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)((^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. ------ 27749/1584336. ------ 1. ==[ start ]==> (((a (a a)) a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 27750/1584363. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(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. ------ 27751/1584390. ------ 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))) REDUCED to normal form. ------ 27752/1584417. ------ 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. ------ 27753/1584435. ------ 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 a))(a (^y.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))(a (^x.(a a)))) REDUCED to normal form. ------ 27754/1584462. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(a a))) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 27755/1584480. ------ 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. ------ 27756/1584507. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(^x1.a))) 6. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(^z.a))) 7. ==[ beta ]==> (((a (^x.x)) a)(^z.a)) 8. ==[ alpha ]==> (((a (^x.x)) a)(^y.a)) REDUCED to normal form. ------ 27757/1584534. ------ 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. ------ 27758/1584561. ------ 1. ==[ start ]==> (((a (a a))(a a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 27759/1584597. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(^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. ------ 27760/1584624. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 27761/1584732. ------ 1. ==[ start ]==> (((^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 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(z z)))) 7. ==[ beta ]==> ((^y.(y y))(^z.(z z))) 8. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) 9. ==[ beta ]==> ((^y.(y y))(^y.(y y))) 10. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) IRREDUCIBLE: cycle. ------ 27762/1584759. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.a)(^b.(^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. ------ 27763/1584795. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(b ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(b ((a a) a))) 3. ==[ beta ]==> ((a (^y.a))(b ((a a) a))) 4. ==[ alpha ]==> ((a (^x.a))(b ((a a) a))) REDUCED to normal form. ------ 27764/1584813. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.z)(^x1.b))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(^x1.b))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.b)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.b)) REDUCED to normal form. ------ 27765/1584822. ------ 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. ------ 27766/1584849. ------ 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. ------ 27767/1584885. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z)) c)) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 27768/1585020. ------ 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. ------ 27769/1585056. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 27770/1585110. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.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. ------ 27771/1585218. ------ 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.(^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. ------ 27772/1585272. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(^z.(z z)))) 7. ==[ beta ]==> ((a a)((^y.a)(^z.(z z)))) 8. ==[ alpha ]==> ((a a)((^x.a)(^y.(y y)))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 27773/1585281. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(c (a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(c (a (a a)))) REDUCED to normal form. ------ 27774/1585308. ------ 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.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(b ((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b ((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(b ((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(b ((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 27775/1585335. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(a ((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(a ((a a) a))) REDUCED to normal form. ------ 27776/1585371. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.(^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. ------ 27777/1585506. ------ 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))((^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. ------ 27778/1585533. ------ 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. ------ 27779/1585542. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.b)((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 27780/1585623. ------ 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.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)((^x1.x1)(^y1.y1)))) IRREDUCIBLE: cycle. ------ 27781/1585704. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.a)(^b.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. ------ 27782/1585713. ------ 1. ==[ start ]==> (((a b) a)(c ((^a.a) a))) 2. ==[ alpha ]==> (((a b) a)(c ((^x.x) a))) 3. ==[ beta ]==> (((a b) a)(c a)) REDUCED to normal form. ------ 27783/1585731. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(^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. ------ 27784/1585740. ------ 1. ==[ start ]==> (((a a)(^a.b))(b (a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(b (a (a a)))) REDUCED to normal form. ------ 27785/1585758. ------ 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)((^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. ------ 27786/1585794. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a (a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (a a))(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (a a))(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(a a))) REDUCED to normal form. ------ 27787/1585821. ------ 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. ------ 27788/1585848. ------ 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 REDUCED to normal form. ------ 27789/1585875. ------ 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. ------ 27790/1585893. ------ 1. ==[ start ]==> (((^a.b)(a a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(a (^y.(^z.z)))) 3. ==[ beta ]==> (b (a (^y.(^z.z)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 27791/1585920. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y))(a a))) 3. ==[ beta ]==> ((a (^x.(a a)))((a a)(a a))) REDUCED to normal form. ------ 27792/1585938. ------ 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. ------ 27793/1585965. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 27794/1585992. ------ 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.(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 (^y.y))((a a)(^z.(z z)))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(y y)))) REDUCED to normal form. ------ 27795/1586019. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a (a a)) a)) REDUCED to normal form. ------ 27796/1586046. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1) a) b)) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1) a) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) a) b)) 5. ==[ beta ]==> (((^y.y) a)(((^z.z) a) b)) 6. ==[ alpha ]==> (((^x.x) a)(((^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. ------ 27797/1586091. ------ 1. ==[ start ]==> (((^a.b) b)(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 27798/1586127. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(y y)) a)) 3. ==[ beta ]==> ((a (a a))((^y.(y y)) a)) 4. ==[ alpha ]==> ((a (a a))((^x.(x x)) a)) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 27799/1586163. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(c (^a.(^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. ------ 27800/1586217. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.y)(a (^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.x)(a (^y.(y y)))) 7. ==[ beta ]==> (a (^y.(y y))) 8. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 27801/1586298. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> (b ((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> (b ((^x.x)((^y.y) a))) 5. ==[ beta ]==> (b ((^y.y) a)) 6. ==[ alpha ]==> (b ((^x.x) a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 27802/1586352. ------ 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)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 27803/1586361. ------ 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. ------ 27804/1586379. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 27805/1586388. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(a ((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a a)) REDUCED to normal form. ------ 27806/1586433. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(b (^a.(^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. ------ 27807/1586442. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)(a (^z.z)))) REDUCED to normal form. ------ 27808/1586496. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(b b)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(b b)) REDUCED to normal form. ------ 27809/1586514. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (b ((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 27810/1586523. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(a c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a c)) REDUCED to normal form. ------ 27811/1586550. ------ 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. ------ 27812/1586586. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z)) a)) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y)) a)) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 27813/1586613. ------ 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. ------ 27814/1586640. ------ 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. ------ 27815/1586667. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a a) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^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. ------ 27816/1586694. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.z) a)) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.z) a)) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y) a)) 5. ==[ beta ]==> ((a (a a))((^y.y) a)) 6. ==[ alpha ]==> ((a (a a))((^x.x) a)) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 27817/1586720. ------ 1. ==[ start ]==> (^a.(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (^x.(((x x) x)((^y.y) x))) 3. ==[ beta ]==> (^x.(((x x) x) x)) REDUCED to normal form. ------ 27818/1586721. ------ 1. ==[ start ]==> (a (((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (a (((a a) a)((^x.x) a))) 3. ==[ beta ]==> (a (((a a) a) a)) REDUCED to normal form. ------ 27819/1587318. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> ((^y.((^z.z)(y y)))((^y.((^z.z)(y y)))(^y.((^z.z)(y y))))) 4. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.((^x1.x1)(z z)))(^y1.((^z1.z1)(y1 y1))))) 5. ==[ beta ]==> ((^y.y)(((^z.((^x1.x1)(z z)))(^y1.((^z1.z1)(y1 y1))))((^z.((^x1.x1)(z z)))(^y1.((^z1.z1)(y1 y1)))))) 6. ==[ alpha ]==> ((^x.x)(((^y.((^z.z)(y y)))(^x1.((^y1.y1)(x1 x1))))((^z1.((^x2.x2)(z1 z1)))(^y2.((^z2.z2)(y2 y2)))))) 7. ==[ beta ]==> (((^y.((^z.z)(y y)))(^x1.((^y1.y1)(x1 x1))))((^z1.((^x2.x2)(z1 z1)))(^y2.((^z2.z2)(y2 y2))))) 8. ==[ alpha ]==> (((^x.((^y.y)(x x)))(^z.((^x1.x1)(z z))))((^y1.((^z1.z1)(y1 y1)))(^x2.((^y2.y2)(x2 x2))))) 9. ==[ beta ]==> (((^y.y)((^z.((^x1.x1)(z z)))(^z.((^x1.x1)(z z)))))((^y1.((^z1.z1)(y1 y1)))(^x2.((^y2.y2)(x2 x2))))) 10. ==[ alpha ]==> (((^x.x)((^y.((^z.z)(y y)))(^x1.((^y1.y1)(x1 x1)))))((^z1.((^x2.x2)(z1 z1)))(^y2.((^z2.z2)(y2 y2))))) 11. ==[ beta ]==> (((^y.((^z.z)(y y)))(^x1.((^y1.y1)(x1 x1))))((^z1.((^x2.x2)(z1 z1)))(^y2.((^z2.z2)(y2 y2))))) IRREDUCIBLE: cycle. ------ 27820/1589208. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.(z (z z)))) 3. ==[ beta ]==> ((^y.y)((^z.(z (z z)))(^z.(z (z z))))) 4. ==[ alpha ]==> ((^x.x)((^y.(y (y y)))(^z.(z (z z))))) 5. ==[ beta ]==> ((^y.(y (y y)))(^z.(z (z z)))) 6. ==[ alpha ]==> ((^x.(x (x x)))(^y.(y (y y)))) 7. ==[ beta ]==> ((^y.(y (y y)))((^y.(y (y y)))(^y.(y (y y))))) 8. ==[ alpha ]==> ((^x.(x (x x)))((^y.(y (y y)))(^z.(z (z z))))) 9. ==[ 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)))))) 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)))))) 11. ==[ 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)))))) 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)))))) 13. ==[ 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)))))) 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)))))) 15. ==[ 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)))))) 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)))))) 17. ==[ 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)))))) 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)))))) 19. ==[ 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)))))) 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)))))) 21. ==[ 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)))))) 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)))))) 23. ==[ 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)))))) 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)))))) 25. ==[ 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)))))) 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)))))) 27. ==[ 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)))))) 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)))))) 29. ==[ 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)))))) 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)))))) 31. ==[ 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)))))) 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)))))) 33. ==[ 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)))))) 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)))))) 35. ==[ 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)))))) UNREDUCED: maximal number of reductions reached. ------ 27821/1589805. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a)) a) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a)) a) 3. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 27822/1589811. ------ 1. ==[ start ]==> ((^a.a)(((a a) a)((^a.a) 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. ------ 27823/1589838. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))(a (a a)))(((^y.y)(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((^z.z)(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z)(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(^z.z))(a (a a)))) 7. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(a (a a)))) 8. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(a (a a)))) 9. ==[ beta ]==> ((a (a a))((^y.y)(a (a a)))) 10. ==[ alpha ]==> ((a (a a))((^x.x)(a (a a)))) 11. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 27824/1589865. ------ 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 REDUCED to normal form. ------ 27825/1589946. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)((^z.z)(a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.y)) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 27826/1589967. ------ 1. ==[ start ]==> (((a a) b)(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 27827/1590063. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (^x.(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (^x.((^z.z)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.(z z)))) 7. ==[ beta ]==> (^x.(^z.(z z))) 8. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 27828/1590183. ------ 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 (^x.x)) b)(^y.(a a))) REDUCED to normal form. ------ 27829/1590399. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^b.(^b.(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. ------ 27830/1590405. ------ 1. ==[ start ]==> ((^a.(a (a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^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))))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a ((^y.y)(a a)))(a ((^z.z)(a a))))) 5. ==[ beta ]==> ((a (a a))((a ((^y.y)(a a)))(a ((^z.z)(a a))))) 6. ==[ alpha ]==> ((a (a a))((a ((^x.x)(a a)))(a ((^y.y)(a a))))) 7. ==[ beta ]==> ((a (a a))((a (a a))(a ((^y.y)(a a))))) 8. ==[ alpha ]==> ((a (a a))((a (a a))(a ((^x.x)(a a))))) 9. ==[ beta ]==> ((a (a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 27831/1590408. ------ 1. ==[ start ]==> ((a (a (a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.((^y.y)(x x)))) 3. ==[ beta ]==> ((a (a (a a)))(^x.(x x))) REDUCED to normal form. ------ 27832/1590615. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.(y y)))) REDUCED to normal form. ------ 27833/1590630. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b)(^x1.x1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 27834/1590993. ------ 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. ------ 27835/1591344. ------ 1. ==[ start ]==> ((((a a) a) a)(^b.((a a) a))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.((a a) a))) REDUCED to normal form. ------ 27836/1591506. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^b.(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 27837/1591521. ------ 1. ==[ start ]==> ((^a.(^a.b))((^c.a) a)) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a) a)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 27838/1592073. ------ 1. ==[ start ]==> (((a b)(^a.a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 27839/1592088. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (a a))(^z.z))) 3. ==[ beta ]==> (^y.(((a (a a))(^z.z))((a (a a))(^z.z)))) 4. ==[ alpha ]==> (^x.(((a (a a))(^y.y))((a (a a))(^z.z)))) REDUCED to normal form. ------ 27840/1592295. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(a (a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(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. ------ 27841/1592298. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(y (y y)))) 3. ==[ beta ]==> ((a (a a))(^y.(y (y y)))) 4. ==[ alpha ]==> ((a (a a))(^x.(x (x x)))) REDUCED to normal form. ------ 27842/1592469. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^c.(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> (b (^x1.(^y1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 27843/1592478. ------ 1. ==[ start ]==> (((a b) b)(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a b) b)(^x.((^y.y) a))) 3. ==[ beta ]==> (((a b) b)(^x.a)) REDUCED to normal form. ------ 27844/1592550. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^c.c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.z)) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 27845/1592559. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.a))) REDUCED to normal form. ------ 27846/1592640. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.(^y1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(^x1.z))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.z))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.y))) 7. ==[ beta ]==> ((^y.(^z.y))(^y.(^z.y))) 8. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.z))) 9. ==[ beta ]==> (^y.(^z.(^x1.z))) 10. ==[ alpha ]==> (^x.(^y.(^z.y))) REDUCED to normal form. ------ 27847/1592685. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^c.(^a.(^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. ------ 27848/1592694. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 27849/1592757. ------ 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)))) REDUCED to normal form. ------ 27850/1592784. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^c.(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(a a))) REDUCED to normal form. ------ 27851/1592838. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^a.b)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(^z.b)) 3. ==[ beta ]==> (((a (a a))(^y.y))(^z.b)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.b)) REDUCED to normal form. ------ 27852/1592865. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(^z.(z z))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(^z.(z z))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(y y))) 5. ==[ beta ]==> ((a (a a))(^y.(y y))) 6. ==[ alpha ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 27853/1592892. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) 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. ------ 27854/1592904. ------ 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. ------ 27855/1592931. ------ 1. ==[ start ]==> ((a (a a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (a a))(((^x.x)(^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)))) 5. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 27856/1592958. ------ 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. ------ 27857/1593003. ------ 1. ==[ start ]==> (((^a.a) b)(c (^a.b))) 2. ==[ alpha ]==> (((^x.x) b)(c (^y.b))) 3. ==[ beta ]==> (b (c (^y.b))) 4. ==[ alpha ]==> (b (c (^x.b))) REDUCED to normal form. ------ 27858/1593012. ------ 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. ------ 27859/1593030. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(b (^z.(a a)))) 3. ==[ beta ]==> ((^y.y)(b (^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 27860/1593039. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a (^x.x)))((a a)(a a))) REDUCED to normal form. ------ 27861/1593057. ------ 1. ==[ start ]==> (((a a) b)(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 27862/1593075. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1)(a a))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.z))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.z)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.y)) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 27863/1593084. ------ 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 (^x.x)) a)(a a)) REDUCED to normal form. ------ 27864/1593102. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 27865/1593111. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 27866/1593129. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((a a) a)(^z.a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^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. ------ 27867/1593156. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^x.a))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.a))(^z.(z z))) 6. ==[ alpha ]==> ((a (^x.a))(^y.(y y))) REDUCED to normal form. ------ 27868/1593192. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.z))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^y.y)(^z.z))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 11. ==[ beta ]==> ((^y.y)(^z.z)) 12. ==[ alpha ]==> ((^x.x)(^y.y)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 27869/1593237. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> ((^y.a)((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> ((^x.a)((a (^y.y))(^z.b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 27870/1593264. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(a a)))) 5. ==[ beta ]==> ((a a)(^y.(a a))) 6. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 27871/1593273. ------ 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 (^x.x)) b)((^z.z)(a a))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(a a))) 5. ==[ beta ]==> (((a (^x.x)) b)(a a)) REDUCED to normal form. ------ 27872/1593300. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((a a)((^y.(a a))(^z.z))) 4. ==[ alpha ]==> ((a a)((^x.(a a))(^y.y))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 27873/1593318. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a b) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a b) b)) 3. ==[ beta ]==> (((^y.y) a)((a b) b)) 4. ==[ alpha ]==> (((^x.x) a)((a b) b)) 5. ==[ beta ]==> (a ((a b) b)) REDUCED to normal form. ------ 27874/1593327. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 27875/1593381. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 27876/1593471. ------ 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. ------ 27877/1593489. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.y)(^z.(a a)))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.(a a)))) 5. ==[ beta ]==> ((a a)(^y.(a a))) 6. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 27878/1593498. ------ 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. ------ 27879/1593507. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(a a)) a)) 3. ==[ beta ]==> ((^y.(y y))((^z.(a a)) a)) 4. ==[ alpha ]==> ((^x.(x x))((^y.(a a)) a)) 5. ==[ beta ]==> (((^y.(a a)) a)((^y.(a a)) a)) 6. ==[ alpha ]==> (((^x.(a a)) a)((^y.(a a)) a)) 7. ==[ beta ]==> ((a a)((^y.(a a)) a)) 8. ==[ alpha ]==> ((a a)((^x.(a a)) a)) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 27880/1593534. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^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. ------ 27881/1593651. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(c (^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(c (^z.a))) REDUCED to normal form. ------ 27882/1593678. ------ 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. ------ 27883/1593705. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(a (^y.(a a)))) REDUCED to normal form. ------ 27884/1593723. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(^z.z))) REDUCED to normal form. ------ 27885/1593813. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(y y))(a (a a)))) 3. ==[ beta ]==> ((b b)((^y.(y y))(a (a a)))) 4. ==[ alpha ]==> ((b b)((^x.(x x))(a (a a)))) 5. ==[ beta ]==> ((b b)((a (a a))(a (a a)))) REDUCED to normal form. ------ 27886/1593858. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 27887/1593885. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 27888/1593939. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a) a) b)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a) a) b)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((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. ------ 27889/1593948. ------ 1. ==[ start ]==> (((a (a a)) b)((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 27890/1593975. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.(^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))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 27891/1594002. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 27892/1594029. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 27893/1594056. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 27894/1594083. ------ 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. ------ 27895/1594146. ------ 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 (^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)(^x.x))((^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. ------ 27896/1594173. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a (a a))((^y.y) a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((a (a a)) a)) REDUCED to normal form. ------ 27897/1594200. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)(a (a a)))) 5. ==[ beta ]==> ((a a)(((^y.y) a)(a (a a)))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)(a (a a)))) 7. ==[ beta ]==> ((a a)(a (a (a a)))) REDUCED to normal form. ------ 27898/1594227. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 27899/1594254. ------ 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. ------ 27900/1594317. ------ 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)(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 27901/1594371. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (a (((^z.z) a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (a (((^x.x) a)(^y.(y y)))) 7. ==[ beta ]==> (a (a (^y.(y y)))) 8. ==[ alpha ]==> (a (a (^x.(x x)))) REDUCED to normal form. ------ 27902/1594407. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 27903/1594434. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.x)((a a) a))) 3. ==[ beta ]==> ((((a a) a) a)((a a) a)) REDUCED to normal form. ------ 27904/1594452. ------ 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. ------ 27905/1594479. ------ 1. ==[ start ]==> (((^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)) 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. ------ 27906/1594488. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.(^a.a))(^a.(^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. ------ 27907/1594515. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((a (^x.(x x)))((^z.a)(^z.a))) 6. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)(^z.a))) 7. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 27908/1594542. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.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. ------ 27909/1594569. ------ 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.(^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. ------ 27910/1594614. ------ 1. ==[ start ]==> ((a (^a.b))((^c.a) a)) 2. ==[ alpha ]==> ((a (^x.b))((^y.a) a)) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 27911/1594632. ------ 1. ==[ start ]==> (((a a)((a a) a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)((a a) a))(((^x.x)(^y.y))(a a))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.y)(a a))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.x)(a a))) 5. ==[ beta ]==> (((a a)((a a) a))(a a)) REDUCED to normal form. ------ 27912/1594659. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a (a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a))(a (^z.z)))) REDUCED to normal form. ------ 27913/1594686. ------ 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.z) a))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y) a)((^z.z) a))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x) 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. ------ 27914/1594713. ------ 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)))) REDUCED to normal form. ------ 27915/1594740. ------ 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 (^x.x))((a a)(^z.z))) 8. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 27916/1594785. ------ 1. ==[ start ]==> (((^a.b) a)((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 27917/1594803. ------ 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. ------ 27918/1594884. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a a)(^b.(^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. ------ 27919/1594947. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(a a))(^a.(^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. ------ 27920/1594965. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^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. ------ 27921/1594974. ------ 1. ==[ start ]==> (((a b) a)((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a b) a)((^x.a)(^y.a))) 3. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 27922/1595001. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 27923/1595073. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(y y)) b)) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(y y)) b)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(x x)) b)) 5. ==[ beta ]==> (((a (a a))(a (a a)))(b b)) REDUCED to normal form. ------ 27924/1595109. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(c (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(c (^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(c (^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(c (^z.a))) 5. ==[ beta ]==> ((^y.a)(c (^z.a))) 6. ==[ alpha ]==> ((^x.a)(c (^y.a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 27925/1595136. ------ 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. ------ 27926/1595163. ------ 1. ==[ start ]==> (((a b)(^a.a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 27927/1595181. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (a a))(^y.y))) REDUCED to normal form. ------ 27928/1595352. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(^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. ------ 27929/1595361. ------ 1. ==[ start ]==> (((a b)(a a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a a))(b ((^x.x) a))) 3. ==[ beta ]==> (((a b)(a a))(b a)) REDUCED to normal form. ------ 27930/1595388. ------ 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. ------ 27931/1595397. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(z z)) a)) 3. ==[ beta ]==> ((^y.(a a))((^z.(z z)) a)) 4. ==[ alpha ]==> ((^x.(a a))((^y.(y y)) a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 27932/1595424. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.a) b)) 3. ==[ beta ]==> ((^y.y)((^x1.a) b)) 4. ==[ alpha ]==> ((^x.x)((^y.a) b)) 5. ==[ beta ]==> ((^y.a) b) 6. ==[ alpha ]==> ((^x.a) b) 7. ==[ beta ]==> a REDUCED to normal form. ------ 27933/1595559. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a)(^x1.a))) 3. ==[ beta ]==> (b ((a a)(^x1.a))) 4. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 27934/1595568. ------ 1. ==[ start ]==> (((a b) b)((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b) b)((^x.x)((^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. ------ 27935/1595595. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.a)(^z.z))) 3. ==[ beta ]==> (((a a) a)((^y.a)(^z.z))) 4. ==[ alpha ]==> (((a a) a)((^x.a)(^y.y))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 27936/1595613. ------ 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. ------ 27937/1595622. ------ 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)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 27938/1595640. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a 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. ------ 27939/1595649. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.a)) REDUCED to normal form. ------ 27940/1595694. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1)) b)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1)) b)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1)) b)) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1)) b)) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1)) b)) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) b)) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 11. ==[ beta ]==> ((^y.(^z.z)) b) 12. ==[ alpha ]==> ((^x.(^y.y)) b) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 27941/1595703. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 27942/1595730. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(a (^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(a (^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a (^z.a))) 5. ==[ beta ]==> ((^y.(y y))(a (^z.a))) 6. ==[ alpha ]==> ((^x.(x x))(a (^y.a))) 7. ==[ beta ]==> ((a (^y.a))(a (^y.a))) 8. ==[ alpha ]==> ((a (^x.a))(a (^y.a))) REDUCED to normal form. ------ 27943/1595757. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(^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. ------ 27944/1595775. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 27945/1595784. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 27946/1595811. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 27947/1595847. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(a (a (^y.y)))) 3. ==[ beta ]==> (((a a)(a a))(a (a (^y.y)))) 4. ==[ alpha ]==> (((a a)(a a))(a (a (^x.x)))) REDUCED to normal form. ------ 27948/1595874. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a a)(a a))) REDUCED to normal form. ------ 27949/1595901. ------ 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. ------ 27950/1595928. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(a b)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(a b)) 3. ==[ beta ]==> (((a (a a))(^y.y))(a b)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(a b)) REDUCED to normal form. ------ 27951/1595955. ------ 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. ------ 27952/1595982. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(a a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(a a)) 3. ==[ beta ]==> ((((a a) a) a)(a a)) REDUCED to normal form. ------ 27953/1596588. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^b.(^b.(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. ------ 27954/1597371. ------ 1. ==[ start ]==> ((^a.((a a) a))(^a.(^a.b))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.(^z.b))) 3. ==[ beta ]==> (((^y.(^z.b))(^y.(^z.b)))(^y.(^z.b))) 4. ==[ alpha ]==> (((^x.(^y.b))(^z.(^x1.b)))(^y1.(^z1.b))) 5. ==[ beta ]==> ((^y.b)(^y1.(^z1.b))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.b))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 27955/1597704. ------ 1. ==[ start ]==> ((^a.(^a.b))(^a.((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.((z z) z))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 27956/1598478. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(x1 x1)))(^z.(^x1.(x1 x1))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(z z)))(^x1.(^y1.(y1 y1))))) 5. ==[ beta ]==> ((^y.(^z.(z z)))(^x1.(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(^x1.(x1 x1)))) 7. ==[ beta ]==> (^y.(y y)) 8. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 27957/1599075. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a)) b) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a)) b) 3. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 27958/1599099. ------ 1. ==[ start ]==> ((^a.(^a.a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 27959/1599180. ------ 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. ------ 27960/1599225. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(b (^z.(a a)))) 3. ==[ beta ]==> ((b (^z.(a a)))(^y.y)) 4. ==[ alpha ]==> ((b (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 27961/1599414. ------ 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)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 27962/1599462. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.(a a)))) REDUCED to normal form. ------ 27963/1599684. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((^y.y)(^z.(a a)))((^y.y)(^z.(a a))))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(^x1.(a a)))((^y1.y1)(^z1.(a a))))) 5. ==[ beta ]==> ((^y.(a a))(((^z.z)(^x1.(a a)))((^y1.y1)(^z1.(a a))))) 6. ==[ alpha ]==> ((^x.(a a))(((^y.y)(^z.(a a)))((^x1.x1)(^y1.(a a))))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 27964/1599687. ------ 1. ==[ start ]==> ((a (a (a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.(a a)))) REDUCED to normal form. ------ 27965/1599696. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> ((^y.(y y))(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> ((^x.(x x))(^y.((^z.z)(y y)))) 5. ==[ beta ]==> ((^y.((^z.z)(y y)))(^y.((^z.z)(y y)))) 6. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.((^x1.x1)(z z)))) 7. ==[ beta ]==> ((^y.y)((^z.((^x1.x1)(z z)))(^z.((^x1.x1)(z z))))) 8. ==[ alpha ]==> ((^x.x)((^y.((^z.z)(y y)))(^x1.((^y1.y1)(x1 x1))))) 9. ==[ beta ]==> ((^y.((^z.z)(y y)))(^x1.((^y1.y1)(x1 x1)))) 10. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.((^x1.x1)(z z)))) IRREDUCIBLE: cycle. ------ 27966/1600035. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.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. ------ 27967/1600467. ------ 1. ==[ start ]==> ((^a.((a a) a))(a (^a.b))) 2. ==[ alpha ]==> ((^x.((x x) x))(a (^y.b))) 3. ==[ beta ]==> (((a (^y.b))(a (^y.b)))(a (^y.b))) 4. ==[ alpha ]==> (((a (^x.b))(a (^y.b)))(a (^z.b))) REDUCED to normal form. ------ 27968/1600470. ------ 1. ==[ start ]==> ((a ((a a) a))(^a.(^a.b))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.b))) REDUCED to normal form. ------ 27969/1600800. ------ 1. ==[ start ]==> ((^a.(^a.b))(a ((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))(a ((a a) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 27970/1600803. ------ 1. ==[ start ]==> ((a (^a.b))(^a.((a a) a))) 2. ==[ alpha ]==> ((a (^x.b))(^y.((y y) y))) REDUCED to normal form. ------ 27971/1600980. ------ 1. ==[ start ]==> ((^a.(a b))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(a a)) b) 4. ==[ alpha ]==> (((^x.(^y.y))(a a)) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 27972/1601343. ------ 1. ==[ start ]==> (((^a.b)(a a))(^c.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(a (a a)))) 3. ==[ beta ]==> (b (^y.(a (a a)))) 4. ==[ alpha ]==> (b (^x.(a (a a)))) REDUCED to normal form. ------ 27973/1601469. ------ 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. ------ 27974/1601574. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.(x1 x1)))((^z.z)(^x1.(x1 x1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.(z z)))((^x1.x1)(^y1.(y1 y1))))) 5. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.x1)(^y1.(y1 y1)))) 6. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(^x1.(x1 x1)))) 7. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.(x1 x1)))) 8. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.(z z)))) 9. ==[ beta ]==> (((^y.y)(^z.(z z)))((^y.y)(^z.(z z)))) 10. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 27975/1601577. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 27976/1601586. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(z (z z)))) 3. ==[ beta ]==> ((^y.(a a))(^z.(z (z z)))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(y (y y)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 27977/1601667. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1) a))) 5. ==[ beta ]==> ((^y.y)(^y1.((^z1.z1) a))) 6. ==[ alpha ]==> ((^x.x)(^y.((^z.z) a))) 7. ==[ beta ]==> (^y.((^z.z) a)) 8. ==[ alpha ]==> (^x.((^y.y) a)) 9. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 27978/1601757. ------ 1. ==[ start ]==> (((a b) b)(^c.(^b.a))) 2. ==[ alpha ]==> (((a b) b)(^x.(^y.a))) REDUCED to normal form. ------ 27979/1601838. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^c.c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 27980/1601919. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^b.c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.c)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.c)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.c)) 5. ==[ beta ]==> ((^y.(y y))(^z.c)) 6. ==[ alpha ]==> ((^x.(x x))(^y.c)) 7. ==[ beta ]==> ((^y.c)(^y.c)) 8. ==[ alpha ]==> ((^x.c)(^y.c)) 9. ==[ beta ]==> c REDUCED to normal form. ------ 27981/1601973. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 27982/1602036. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(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. ------ 27983/1602090. ------ 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. ------ 27984/1602117. ------ 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))) REDUCED to normal form. ------ 27985/1602144. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(^b.(^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. ------ 27986/1602171. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^a.(^a.a))) 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. ------ 27987/1602201. ------ 1. ==[ start ]==> ((a (^a.a))(((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. ------ 27988/1602228. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a (a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a (a a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a (a a))) 7. ==[ beta ]==> ((^y.y)(a (a a))) 8. ==[ alpha ]==> ((^x.x)(a (a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 27989/1602255. ------ 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)))) 5. ==[ beta ]==> ((a a)((a (a a))(^y.y))) 6. ==[ alpha ]==> ((a a)((a (a a))(^x.x))) REDUCED to normal form. ------ 27990/1602282. ------ 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. ------ 27991/1602327. ------ 1. ==[ start ]==> ((a (a (^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(b (^y.(a a)))) REDUCED to normal form. ------ 27992/1602336. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)((^z.z)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 27993/1602372. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(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. ------ 27994/1602399. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 27995/1602426. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a) a)(^z.a))) REDUCED to normal form. ------ 27996/1602462. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 27997/1602480. ------ 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 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. ------ 27998/1602489. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^z.z))) 9. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 10. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 27999/1602516. ------ 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))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 28000/1602561. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a a)(^y.(a a)))) REDUCED to normal form. ------ 28001/1602588. ------ 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)) 5. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 28002/1602615. ------ 1. ==[ start ]==> (((a a)(^b.a))((a b) b)) 2. ==[ alpha ]==> (((a a)(^x.a))((a b) b)) REDUCED to normal form. ------ 28003/1602705. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^y.(^z.z)))) 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. ------ 28004/1602732. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 28005/1602759. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(^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. ------ 28006/1602786. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.x)(^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. ------ 28007/1602795. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a ((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.(y y))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.(x x))(a ((^y.y)(a a)))) 5. ==[ beta ]==> ((a ((^y.y)(a a)))(a ((^y.y)(a a)))) 6. ==[ alpha ]==> ((a ((^x.x)(a a)))(a ((^y.y)(a a)))) 7. ==[ beta ]==> ((a (a a))(a ((^y.y)(a a)))) 8. ==[ alpha ]==> ((a (a a))(a ((^x.x)(a a)))) 9. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 28008/1602822. ------ 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)((a b)(a a))) 4. ==[ alpha ]==> ((^x.x)((a b)(a a))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 28009/1602858. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.a) c)) 2. ==[ alpha ]==> ((((^x.x) a) 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. ------ 28010/1602876. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z)(^x1.x1))((^y1.y1) 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) 13. ==[ beta ]==> a REDUCED to normal form. ------ 28011/1602903. ------ 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. ------ 28012/1602930. ------ 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)((^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. ------ 28013/1602984. ------ 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)(a b))) REDUCED to normal form. ------ 28014/1603029. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.b)(a a))) 3. ==[ beta ]==> (((a a)(a (a a))) b) REDUCED to normal form. ------ 28015/1603083. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 28016/1603101. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (a a))(^y.(y y)))) 3. ==[ beta ]==> ((b b)((a (a a))(^y.(y y)))) 4. ==[ alpha ]==> ((b b)((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 28017/1603110. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(x x))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 28018/1603137. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 28019/1603236. ------ 1. ==[ start ]==> (((a (a a)) b)(((a a) a) b)) REDUCED to normal form. ------ 28020/1603362. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(b ((a a) a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(b ((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b ((a a) a))) REDUCED to normal form. ------ 28021/1603398. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.b) a)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b) a)) 5. ==[ beta ]==> ((^y.y)((^z.b) a)) 6. ==[ alpha ]==> ((^x.x)((^y.b) a)) 7. ==[ beta ]==> ((^y.b) a) 8. ==[ alpha ]==> ((^x.b) a) 9. ==[ beta ]==> b REDUCED to normal form. ------ 28022/1603542. ------ 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. ------ 28023/1603569. ------ 1. ==[ start ]==> ((a ((a a) a))(a (^a.b))) 2. ==[ alpha ]==> ((a ((a a) a))(a (^x.b))) REDUCED to normal form. ------ 28024/1603695. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((a (^y.y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 28025/1603776. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^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. ------ 28026/1603902. ------ 1. ==[ start ]==> ((a (^a.b))(a ((a a) a))) 2. ==[ alpha ]==> ((a (^x.b))(a ((a a) a))) REDUCED to normal form. ------ 28027/1604028. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(b (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 28028/1604073. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 28029/1604082. ------ 1. ==[ start ]==> ((a (a b))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(a a))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 28030/1604235. ------ 1. ==[ start ]==> ((((a a) a) b)((a (a a)) b)) REDUCED to normal form. ------ 28031/1604262. ------ 1. ==[ start ]==> (((a b) a)(((^a.a) a) c)) 2. ==[ alpha ]==> (((a b) a)(((^x.x) a) c)) 3. ==[ beta ]==> (((a b) a)(a c)) REDUCED to normal form. ------ 28032/1604280. ------ 1. ==[ start ]==> (((^a.a)(a b))(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 28033/1604307. ------ 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. ------ 28034/1604343. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 28035/1604361. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a (a a))(a a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a (a a))(a a))) REDUCED to normal form. ------ 28036/1604370. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(y y)) b)) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(b b)) REDUCED to normal form. ------ 28037/1604397. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.a) c)) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.a) c)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a) c)) 5. ==[ beta ]==> ((^y.a)((^z.a) c)) 6. ==[ alpha ]==> ((^x.a)((^y.a) c)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 28038/1604442. ------ 1. ==[ start ]==> (((^a.b)(a a))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((a a)(a (a a)))) 3. ==[ beta ]==> (b ((a a)(a (a a)))) REDUCED to normal form. ------ 28039/1604487. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(x x))(a a))) 3. ==[ beta ]==> (((a a)(a b))((a a)(a a))) REDUCED to normal form. ------ 28040/1604514. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) a) REDUCED to normal form. ------ 28041/1604541. ------ 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.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 28042/1604568. ------ 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. ------ 28043/1604595. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(x1 x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(z z))(^x1.x1))) 5. ==[ beta ]==> (((^y.y) a)((^z.(z z))(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(^z.z))) 7. ==[ beta ]==> (a ((^y.(y y))(^z.z))) 8. ==[ alpha ]==> (a ((^x.(x x))(^y.y))) 9. ==[ beta ]==> (a ((^y.y)(^y.y))) 10. ==[ alpha ]==> (a ((^x.x)(^y.y))) 11. ==[ beta ]==> (a (^y.y)) 12. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 28044/1604622. ------ 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)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x))) a) REDUCED to normal form. ------ 28045/1604640. ------ 1. ==[ start ]==> (((^a.b) b)((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.b) b)((a (^y.y)) c)) 3. ==[ beta ]==> (b ((a (^y.y)) c)) 4. ==[ alpha ]==> (b ((a (^x.x)) c)) REDUCED to normal form. ------ 28046/1604649. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(^a.a))(^b.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. ------ 28047/1604676. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((a (a a))((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(y y)))) 5. ==[ beta ]==> ((a (a a))(^y.(y y))) 6. ==[ alpha ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 28048/1604685. ------ 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 a) REDUCED to normal form. ------ 28049/1604712. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(a a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a a))) 5. ==[ beta ]==> (((^y.y) a)(a a)) 6. ==[ alpha ]==> (((^x.x) a)(a a)) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 28050/1604766. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)((^y1.y1) a))) 5. ==[ beta ]==> ((^y.y)((a a)((^y1.y1) 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. ------ 28051/1604847. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(b c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b c)) 3. ==[ beta ]==> (b (b c)) REDUCED to normal form. ------ 28052/1604856. ------ 1. ==[ start ]==> (((a b) b)((a a)(^b.a))) 2. ==[ alpha ]==> (((a b) b)((a a)(^x.a))) REDUCED to normal form. ------ 28053/1604883. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((^a.a) 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. ------ 28054/1604910. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (^y.y)) b)) REDUCED to normal form. ------ 28055/1604928. ------ 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. ------ 28056/1604937. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a a) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a a) c)) REDUCED to normal form. ------ 28057/1604982. ------ 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.x1))(a a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a (^x1.x1))(a a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))(a a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.y1))(a a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))(a a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(a a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(a a))) 9. ==[ beta ]==> ((^y.y)((a (^z.z))(a a))) 10. ==[ alpha ]==> ((^x.x)((a (^y.y))(a a))) 11. ==[ beta ]==> ((a (^y.y))(a a)) 12. ==[ alpha ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 28058/1604991. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 28059/1605045. ------ 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. ------ 28060/1605063. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(b b)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(b b)) 3. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 28061/1605072. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 28062/1605099. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a (^z.z)) a)) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z)) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 28063/1605135. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(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. ------ 28064/1605162. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(b (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(b (^y.y))) REDUCED to normal form. ------ 28065/1605189. ------ 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. ------ 28066/1605216. ------ 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))(^x.x))(a a)) REDUCED to normal form. ------ 28067/1605243. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y)(^z.z))) 5. ==[ beta ]==> ((a (a a))((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(^y.y))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 28068/1605270. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(a (^a.a))) 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. ------ 28069/1605287. ------ 1. ==[ start ]==> (^a.((^a.b) c)) 2. ==[ alpha ]==> (^x.((^y.b) c)) 3. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 28070/1605288. ------ 1. ==[ start ]==> (a ((^a.b) c)) 2. ==[ alpha ]==> (a ((^x.b) c)) 3. ==[ beta ]==> (a b) REDUCED to normal form. ------ 28071/1606110. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^a.(^b.(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. ------ 28072/1607001. ------ 1. ==[ start ]==> ((^a.(^a.b))(^b.(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 28073/1607568. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (^x.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 28074/1608390. ------ 1. ==[ start ]==> (((^a.b) c) a) 2. ==[ alpha ]==> (((^x.b) c) a) 3. ==[ beta ]==> (b a) REDUCED to normal form. ------ 28075/1608396. ------ 1. ==[ start ]==> ((^a.a)((^a.b) c)) 2. ==[ alpha ]==> ((^x.x)((^y.b) c)) 3. ==[ beta ]==> ((^y.b) c) 4. ==[ alpha ]==> ((^x.b) c) 5. ==[ beta ]==> b REDUCED to normal form. ------ 28076/1608552. ------ 1. ==[ start ]==> (((a a) b)(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a) b)(^x.((^y.y)(a a)))) 3. ==[ beta ]==> (((a a) b)(^x.(a a))) REDUCED to normal form. ------ 28077/1608648. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (^y.((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (^x.((^y.a)((^z.z) a))) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 28078/1608891. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 28079/1609002. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^b.(^b.(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. ------ 28080/1609215. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(a (^b.(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. ------ 28081/1609218. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 28082/1609341. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^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. ------ 28083/1609605. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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)) REDUCED to normal form. ------ 28084/1609947. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.((a a) a))) 3. ==[ beta ]==> (((a a) a)(^y.((a a) a))) 4. ==[ alpha ]==> (((a a) a)(^x.((a a) a))) REDUCED to normal form. ------ 28085/1610106. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.a)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.z)(^x1.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 28086/1610109. ------ 1. ==[ start ]==> ((a (^a.b))(^b.(^c.a))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(^z.a))) REDUCED to normal form. ------ 28087/1610286. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y)(^z.z))(^x1.x1))) 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. ------ 28088/1610550. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^a.((^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. ------ 28089/1610658. ------ 1. ==[ start ]==> (((a b)(^a.a))(^c.(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(a (a a)))) REDUCED to normal form. ------ 28090/1610673. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.((a (^z.(^x1.x1)))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (^x.((a (^y.(^z.z)))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 28091/1610676. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 28092/1610892. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(a a))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(^z.(z z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 28093/1611396. ------ 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. ------ 28094/1611477. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^b.a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(^y.a)) 3. ==[ beta ]==> ((((a a) a) a)(^y.a)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.a)) REDUCED to normal form. ------ 28095/1611495. ------ 1. ==[ start ]==> (((^a.b) c)(^a.a)) 2. ==[ alpha ]==> (((^x.b) c)(^y.y)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 28096/1611507. ------ 1. ==[ start ]==> ((a a)((^a.b) c)) 2. ==[ alpha ]==> ((a a)((^x.b) c)) 3. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 28097/1611525. ------ 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. ------ 28098/1611552. ------ 1. ==[ start ]==> (((a a) a)(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a) a)(((^x.x)(^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)))) 5. ==[ beta ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 28099/1611579. ------ 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. ------ 28100/1611606. ------ 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. ------ 28101/1611633. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a (^z.z))(a b))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(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. ------ 28102/1611651. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (^x1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^x1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 28103/1611660. ------ 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. ------ 28104/1611705. ------ 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))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 28105/1611732. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)(a (^x1.x1)))) 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. ------ 28106/1611759. ------ 1. ==[ start ]==> ((a (^b.a))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 28107/1611777. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.(z z))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(y y))) REDUCED to normal form. ------ 28108/1611804. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 28109/1611840. ------ 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. ------ 28110/1611867. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(^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. ------ 28111/1611921. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((^y.y) a)((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(a a))(^z.z))) 5. ==[ beta ]==> (a ((^y.(a a))(^z.z))) 6. ==[ alpha ]==> (a ((^x.(a a))(^y.y))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 28112/1611948. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 28113/1612002. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 28114/1612092. ------ 1. ==[ start ]==> (((^a.(a a)) a)(b (a b))) 2. ==[ alpha ]==> (((^x.(x x)) a)(b (a b))) 3. ==[ beta ]==> ((a a)(b (a b))) REDUCED to normal form. ------ 28115/1612110. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.(a a)))((^y.y)(^z.(a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)(^x1.(a a)))) 7. ==[ beta ]==> ((^y.(a a))((^z.z)(^x1.(a a)))) 8. ==[ alpha ]==> ((^x.(a a))((^y.y)(^z.(a a)))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 28116/1612173. ------ 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. ------ 28117/1612200. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a (a a)) a)((^y.y)((^z.z) a))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.x)((^y.y) a))) 5. ==[ beta ]==> (((a (a a)) a)((^y.y) a)) 6. ==[ alpha ]==> (((a (a a)) a)((^x.x) a)) 7. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 28118/1612227. ------ 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. ------ 28119/1612254. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.a))(a (^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.a))(a (^z.z))) REDUCED to normal form. ------ 28120/1612281. ------ 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. ------ 28121/1612299. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(b (^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(b (^y.b))) 3. ==[ beta ]==> (((a a)(a a))(b (^y.b))) 4. ==[ alpha ]==> (((a a)(a a))(b (^x.b))) REDUCED to normal form. ------ 28122/1612308. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a a)(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a a)(a b))) REDUCED to normal form. ------ 28123/1612326. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(a a)))) REDUCED to normal form. ------ 28124/1612344. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((a b)(^x.x))) REDUCED to normal form. ------ 28125/1612371. ------ 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. ------ 28126/1612398. ------ 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 (^x.x)))((^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. ------ 28127/1612425. ------ 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. ------ 28128/1612452. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 28129/1612461. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 28130/1612488. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(^y1.y1))((a a) a))) 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. ------ 28131/1612542. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.b)(^y1.y1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)(^z1.z1))) 5. ==[ beta ]==> ((^y.y)((^y1.b)(^z1.z1))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(^z.z))) 7. ==[ beta ]==> ((^y.b)(^z.z)) 8. ==[ alpha ]==> ((^x.b)(^y.y)) 9. ==[ beta ]==> b REDUCED to normal form. ------ 28132/1612596. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 28133/1612623. ------ 1. ==[ start ]==> (((^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 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. ------ 28134/1612659. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))(c ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))(c ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.a))(c (^z.z))) 6. ==[ alpha ]==> ((a (^x.a))(c (^y.y))) REDUCED to normal form. ------ 28135/1612686. ------ 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. ------ 28136/1612713. ------ 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. ------ 28137/1612776. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 28138/1612920. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^c.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 28139/1612974. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(z z))((^x1.x1) a))) 5. ==[ beta ]==> (a ((^z.(z z))((^x1.x1) a))) 6. ==[ alpha ]==> (a ((^x.(x x))((^y.y) a))) 7. ==[ beta ]==> (a (((^y.y) a)((^y.y) a))) 8. ==[ alpha ]==> (a (((^x.x) 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. ------ 28140/1613055. ------ 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))) 5. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 28141/1613136. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))(^x1.a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))(^z.a))) 7. ==[ beta ]==> ((a a)((^y.(y y))(^z.a))) 8. ==[ alpha ]==> ((a a)((^x.(x x))(^y.a))) 9. ==[ beta ]==> ((a a)((^y.a)(^y.a))) 10. ==[ alpha ]==> ((a a)((^x.a)(^y.a))) 11. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 28142/1613199. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(b ((^y.y)(^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. ------ 28143/1613217. ------ 1. ==[ start ]==> ((a (^a.b))((^a.a)(^c.a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.a))) 3. ==[ beta ]==> ((a (^x.b))(^z.a)) 4. ==[ alpha ]==> ((a (^x.b))(^y.a)) REDUCED to normal form. ------ 28144/1613262. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.(^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))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 28145/1613397. ------ 1. ==[ start ]==> ((a (a b))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (a b))(((^x.x)(^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. ------ 28146/1613406. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(a a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 28147/1613487. ------ 1. ==[ start ]==> (((^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 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. ------ 28148/1613568. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^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. ------ 28149/1613595. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.a)(^b.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. ------ 28150/1613604. ------ 1. ==[ start ]==> (((a a)(^a.b))(c ((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))(c ((^y.y) a))) 3. ==[ beta ]==> (((a a)(^x.b))(c a)) REDUCED to normal form. ------ 28151/1613622. ------ 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.(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. ------ 28152/1613658. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 28153/1613685. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a (a a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a (a a))(a a))) REDUCED to normal form. ------ 28154/1613712. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1) a)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1) a)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a)(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(((^z.z) a)(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)(((^y.y) a)(a (^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 28155/1613739. ------ 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. ------ 28156/1613757. ------ 1. ==[ start ]==> (((^a.b)(a a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(b (^y.(y y)))) 3. ==[ beta ]==> (b (b (^y.(y y)))) 4. ==[ alpha ]==> (b (b (^x.(x x)))) REDUCED to normal form. ------ 28157/1613766. ------ 1. ==[ start ]==> (((a b)(^a.a))((a a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((a a)(a (a a)))) REDUCED to normal form. ------ 28158/1613784. ------ 1. ==[ start ]==> ((a (^b.(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 28159/1613802. ------ 1. ==[ start ]==> (((a a)(a b))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(a b))((a (a a))(^x.x))) REDUCED to normal form. ------ 28160/1613829. ------ 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. ------ 28161/1613856. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.z))(^x1.a))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 28162/1613883. ------ 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. ------ 28163/1613910. ------ 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. ------ 28164/1613937. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((^y.y) a) b)) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a b)) REDUCED to normal form. ------ 28165/1613955. ------ 1. ==[ start ]==> (((^a.b) b)(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(c (a (^y.y)))) 3. ==[ beta ]==> (b (c (a (^y.y)))) 4. ==[ alpha ]==> (b (c (a (^x.x)))) REDUCED to normal form. ------ 28166/1613964. ------ 1. ==[ start ]==> (((a b)(a a))((a (^a.a)) c)) 2. ==[ alpha ]==> (((a b)(a a))((a (^x.x)) c)) REDUCED to normal form. ------ 28167/1614000. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(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)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 28168/1614081. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b (^x1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b (^x1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (^y1.a))) 5. ==[ beta ]==> ((^y.y)(b (^y1.a))) 6. ==[ alpha ]==> ((^x.x)(b (^y.a))) 7. ==[ beta ]==> (b (^y.a)) 8. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 28169/1614162. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 28170/1614171. ------ 1. ==[ start ]==> (((a b) b)(b c)) REDUCED to normal form. ------ 28171/1614216. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(^z.z))) 5. ==[ beta ]==> ((a a)((^y.a)(^z.z))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.y))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 28172/1614225. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(c (a a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(c (a a))) REDUCED to normal form. ------ 28173/1614243. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(^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. ------ 28174/1614252. ------ 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. ------ 28175/1614306. ------ 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))) REDUCED to normal form. ------ 28176/1614333. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a)(a (^z.z)))) 5. ==[ beta ]==> ((^y.(y y))((a a)(a (^z.z)))) 6. ==[ alpha ]==> ((^x.(x x))((a a)(a (^y.y)))) 7. ==[ beta ]==> (((a a)(a (^y.y)))((a a)(a (^y.y)))) 8. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 28177/1614360. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(c a)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(c a)) REDUCED to normal form. ------ 28178/1614378. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(^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. ------ 28179/1614387. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(b b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b b)) REDUCED to normal form. ------ 28180/1614450. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a a) b)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a a) b)) 3. ==[ beta ]==> (((a a)(a a))((a a) b)) REDUCED to normal form. ------ 28181/1614477. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(^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. ------ 28182/1614504. ------ 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. ------ 28183/1614531. ------ 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))(^y.y))((a a)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 28184/1614558. ------ 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. ------ 28185/1614585. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.a) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.y) a)) 3. ==[ beta ]==> ((((a a) a) a)((^y.y) a)) 4. ==[ alpha ]==> ((((a a) a) a)((^x.x) a)) 5. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 28186/1614603. ------ 1. ==[ start ]==> (((^a.b) c)(a a)) 2. ==[ alpha ]==> (((^x.b) c)(a a)) 3. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 28187/1614611. ------ 1. ==[ start ]==> (^a.((a b)(a (^a.a)))) 2. ==[ alpha ]==> (^x.((x b)(x (^y.y)))) REDUCED to normal form. ------ 28188/1614612. ------ 1. ==[ start ]==> (a ((a b)(a (^a.a)))) 2. ==[ alpha ]==> (a ((a b)(a (^x.x)))) REDUCED to normal form. ------ 28189/1617714. ------ 1. ==[ start ]==> (((^a.b) c) b) 2. ==[ alpha ]==> (((^x.b) c) b) 3. ==[ beta ]==> (b b) REDUCED to normal form. ------ 28190/1617723. ------ 1. ==[ start ]==> (((a b)(a (^a.a))) a) 2. ==[ alpha ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 28191/1617729. ------ 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. ------ 28192/1617738. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.b) c)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.b) c)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 28193/1617756. ------ 1. ==[ start ]==> ((^a.(a a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x x))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)((^y.y) a))(((a a) a)((^y.y) a))) 4. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((a a) a)((^y.y) a))) 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. ------ 28194/1617783. ------ 1. ==[ start ]==> ((^a.b)(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 28195/1617864. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (^z.z))(a b))) 3. ==[ beta ]==> (((a (^z.z))(a b))(^y.y)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 28196/1617981. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.x))(((a a) a)(^z.a))) 3. ==[ beta ]==> (^y.(((a a) a)(^z.a))) 4. ==[ alpha ]==> (^x.(((a a) a)(^y.a))) REDUCED to normal form. ------ 28197/1618128. ------ 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)))) 5. ==[ beta ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 28198/1618323. ------ 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. ------ 28199/1618938. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.(^y1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.z))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.z))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 7. ==[ beta ]==> (^y.(^z.y)) 8. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 28200/1619106. ------ 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. ------ 28201/1619460. ------ 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. ------ 28202/1619613. ------ 1. ==[ start ]==> (((^a.b) a)(^a.(^c.a))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(^z.y))) 3. ==[ beta ]==> (b (^y.(^z.y))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 28203/1619883. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 28204/1620213. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(b ((^z.z) a))) 3. ==[ beta ]==> ((^y.y)((b ((^z.z) a))(b ((^z.z) a)))) 4. ==[ alpha ]==> ((^x.x)((b ((^y.y) a))(b ((^z.z) a)))) 5. ==[ beta ]==> ((b ((^y.y) a))(b ((^z.z) a))) 6. ==[ alpha ]==> ((b ((^x.x) a))(b ((^y.y) a))) 7. ==[ beta ]==> ((b a)(b ((^y.y) a))) 8. ==[ alpha ]==> ((b a)(b ((^x.x) a))) 9. ==[ beta ]==> ((b a)(b a)) REDUCED to normal form. ------ 28205/1620225. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^c.d)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.d)) 3. ==[ beta ]==> ((^y.(a a))(^z.d)) 4. ==[ alpha ]==> ((^x.(a a))(^y.d)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 28206/1620423. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.((^z.z) a))) 3. ==[ beta ]==> (((a a) a)(^y.((^z.z) a))) 4. ==[ alpha ]==> (((a a) a)(^x.((^y.y) a))) 5. ==[ beta ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 28207/1620585. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^a.(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.y))) REDUCED to normal form. ------ 28208/1620639. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(a (^z.z)))) REDUCED to normal form. ------ 28209/1620702. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(y (^z.z)))) REDUCED to normal form. ------ 28210/1620783. ------ 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. ------ 28211/1620810. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^a.(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) 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. ------ 28212/1620828. ------ 1. ==[ start ]==> (((^a.b) c)(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(^z.z))) 3. ==[ beta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 28213/1620837. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^a.a)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 28214/1620849. ------ 1. ==[ start ]==> ((a a)((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((a a)((a b)(a (^x.x)))) REDUCED to normal form. ------ 28215/1620858. ------ 1. ==[ start ]==> ((a (^a.a))((^a.b) c)) 2. ==[ alpha ]==> ((a (^x.x))((^y.b) c)) 3. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 28216/1620876. ------ 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. ------ 28217/1620903. ------ 1. ==[ start ]==> ((a b)(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(a (a a)))) 3. ==[ beta ]==> ((a b)((^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. ------ 28218/1620957. ------ 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. ------ 28219/1620984. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y))(a b))) REDUCED to normal form. ------ 28220/1621002. ------ 1. ==[ start ]==> (((a a) b)(b (^b.(a a)))) 2. ==[ alpha ]==> (((a a) b)(b (^x.(a a)))) REDUCED to normal form. ------ 28221/1621047. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(^z.z))) 5. ==[ beta ]==> ((a (^x.x))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 28222/1621056. ------ 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 a)) REDUCED to normal form. ------ 28223/1621074. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 28224/1621083. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 28225/1621101. ------ 1. ==[ start ]==> ((a (^b.a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.a))(((a a) a)(^y.a))) REDUCED to normal form. ------ 28226/1621137. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.(^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. ------ 28227/1621182. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((^y.a)(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> ((^x.a)(((^y.y) a)(^z.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 28228/1621209. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.b))) 5. ==[ beta ]==> ((a (^y.y))(^z.b)) 6. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 28229/1621218. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 28230/1621245. ------ 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))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 28231/1621263. ------ 1. ==[ start ]==> (((^a.a)((^a.a) 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)) 7. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 28232/1621272. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(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. ------ 28233/1621290. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 28234/1621299. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.b)(^a.(^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. ------ 28235/1621434. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 28236/1621443. ------ 1. ==[ start ]==> ((a (a (a a)))(b (a b))) REDUCED to normal form. ------ 28237/1621479. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.(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. ------ 28238/1621650. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(b (^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(b (^y.b))) REDUCED to normal form. ------ 28239/1621758. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.(^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. ------ 28240/1621803. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^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. ------ 28241/1621884. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^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. ------ 28242/1621893. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.b)(^y.y))) 3. ==[ beta ]==> (((a (a a)) b) b) REDUCED to normal form. ------ 28243/1621947. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 28244/1621974. ------ 1. ==[ start ]==> (((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 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((^x1.(x1 x1))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 28245/1622001. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 28246/1622055. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^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. ------ 28247/1622091. ------ 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)(^y.y))(((a a) a)(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(a a))) REDUCED to normal form. ------ 28248/1622118. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)(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. ------ 28249/1622145. ------ 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.z) a))) 3. ==[ beta ]==> ((a ((^y.y) a))((a (a a))((^z.z) a))) 4. ==[ alpha ]==> ((a ((^x.x) 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))) 7. ==[ beta ]==> ((a a)((a (a a)) a)) REDUCED to normal form. ------ 28250/1622172. ------ 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. ------ 28251/1622199. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a a)((a (^y.y))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((a (^x.x))((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a)((a (^x.x))(^z.z))) 8. ==[ alpha ]==> ((a a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 28252/1622226. ------ 1. ==[ start ]==> ((a ((a a) a))((a a)((a a) a))) REDUCED to normal form. ------ 28253/1622262. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.y))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 28254/1622316. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (a a))(^b.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. ------ 28255/1622352. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.a)(a (a a)))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)(a (a a)))) 5. ==[ beta ]==> (b ((^y.a)(a (a a)))) 6. ==[ alpha ]==> (b ((^x.a)(a (a a)))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 28256/1622379. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) a)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 28257/1622424. ------ 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)(((a a) a) a)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) a)) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 28258/1622433. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 28259/1622460. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 28260/1622487. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.a))((^z.a)(^z.a))) 4. ==[ alpha ]==> (((a (a a))(^x.a))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 28261/1622514. ------ 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.(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. ------ 28262/1622541. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(^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. ------ 28263/1622577. ------ 1. ==[ start ]==> (((a a)((a a) a))(a ((a a) a))) REDUCED to normal form. ------ 28264/1622604. ------ 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))(^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))(^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. ------ 28265/1622631. ------ 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. ------ 28266/1622658. ------ 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.z) a))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y) a)((^z.z) a))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x) 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. ------ 28267/1622685. ------ 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.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.z))(a (a a)))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.z))(a (a a)))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 28268/1622712. ------ 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. ------ 28269/1622730. ------ 1. ==[ start ]==> (((^a.b) a)(a (^c.a))) 2. ==[ alpha ]==> (((^x.b) a)(a (^y.a))) 3. ==[ beta ]==> (b (a (^y.a))) 4. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 28270/1622748. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.b)(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 28271/1622829. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 28272/1622892. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 28273/1622910. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a (a a)) b)) 3. ==[ beta ]==> (b ((a (a a)) b)) REDUCED to normal form. ------ 28274/1622919. ------ 1. ==[ start ]==> (((a b) a)((^a.(a a))(^a.(^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. ------ 28275/1622937. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 28276/1622946. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 28277/1623000. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 28278/1623018. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.z)) a)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y)) 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. ------ 28279/1623108. ------ 1. ==[ start ]==> (((a b)(^a.a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(b (^y.(y y)))) REDUCED to normal form. ------ 28280/1623297. ------ 1. ==[ start ]==> (((^a.b) b)((^b.a)(^a.(^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. ------ 28281/1623306. ------ 1. ==[ start ]==> (((a b)(a a))(c (a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(c (a (^x.x)))) REDUCED to normal form. ------ 28282/1623333. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(b ((^y.y) a))) 3. ==[ beta ]==> ((a (a a))(b ((^y.y) a))) 4. ==[ alpha ]==> ((a (a a))(b ((^x.x) a))) 5. ==[ beta ]==> ((a (a a))(b a)) REDUCED to normal form. ------ 28283/1623369. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^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. ------ 28284/1623423. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(^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. ------ 28285/1623504. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 28286/1623513. ------ 1. ==[ start ]==> (((a b) b)((^a.(^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. ------ 28287/1623540. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a a) a)((^y.y)((^z.z) a))) 4. ==[ alpha ]==> (((a a) a)((^x.x)((^y.y) a))) 5. ==[ beta ]==> (((a a) a)((^y.y) a)) 6. ==[ alpha ]==> (((a a) a)((^x.x) a)) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 28288/1623558. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z) a) a)) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z) a) a)) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a) a)) 5. ==[ beta ]==> ((a a)(((^y.y) a) a)) 6. ==[ alpha ]==> ((a a)(((^x.x) a) a)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 28289/1623567. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 28290/1623585. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((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) REDUCED to normal form. ------ 28291/1623594. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(^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. ------ 28292/1623639. ------ 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))((^y.y)(^z.z)))((^x1.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) 13. ==[ beta ]==> a REDUCED to normal form. ------ 28293/1623648. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(c (^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(c (^z.z))) REDUCED to normal form. ------ 28294/1623675. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(b (^a.(^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. ------ 28295/1623702. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(a (^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(a (^y.a))) REDUCED to normal form. ------ 28296/1623720. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 28297/1623729. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 28298/1623756. ------ 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)(^x.x))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 28299/1623792. ------ 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. ------ 28300/1623819. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(a (a (^y.y)))) REDUCED to normal form. ------ 28301/1623846. ------ 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. ------ 28302/1623873. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(b a)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(b a)) 3. ==[ beta ]==> (((a (a a))(^y.y))(b a)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(b a)) REDUCED to normal form. ------ 28303/1623900. ------ 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. ------ 28304/1623927. ------ 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. ------ 28305/1623945. ------ 1. ==[ start ]==> (((^a.b) c)(a (^a.a))) 2. ==[ alpha ]==> (((^x.b) c)(a (^y.y))) 3. ==[ beta ]==> (b (a (^y.y))) 4. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 28306/1623954. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(a a)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(a a)) REDUCED to normal form. ------ 28307/1624785. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^c.(a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(a b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 28308/1625856. ------ 1. ==[ start ]==> ((^a.(a b))(^a.(^c.a))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(^z.y))) 3. ==[ beta ]==> ((^y.(^z.y)) b) 4. ==[ alpha ]==> ((^x.(^y.x)) b) 5. ==[ beta ]==> (^y.b) 6. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 28309/1626243. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^c.(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(a (a a)))) 3. ==[ beta ]==> (^y.((^z.(a (a a)))(^z.(a (a a))))) 4. ==[ alpha ]==> (^x.((^y.(a (a a)))(^z.(a (a a))))) 5. ==[ beta ]==> (^x.(a (a a))) REDUCED to normal form. ------ 28310/1627065. ------ 1. ==[ start ]==> (((^a.b) c) c) 2. ==[ alpha ]==> (((^x.b) c) c) 3. ==[ beta ]==> (b c) REDUCED to normal form. ------ 28311/1627074. ------ 1. ==[ start ]==> (((a b)(a (^a.a))) b) 2. ==[ alpha ]==> (((a b)(a (^x.x))) b) REDUCED to normal form. ------ 28312/1627098. ------ 1. ==[ start ]==> ((^a.(^a.a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a b)(a (^z.z)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 28313/1627179. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 28314/1627413. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ eta ]==> ((^y.y)((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.z))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^y.y)(^z.z))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 11. ==[ beta ]==> ((^y.y)(^z.z)) 12. ==[ alpha ]==> ((^x.x)(^y.y)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 28315/1627683. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(^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. ------ 28316/1627722. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^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. ------ 28317/1627908. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(a b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 28318/1627911. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^c.(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a b))) REDUCED to normal form. ------ 28319/1627929. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.(x x)))) REDUCED to normal form. ------ 28320/1628034. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(x1 x1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 28321/1628466. ------ 1. ==[ start ]==> ((^a.((a a) a))(b (^c.a))) 2. ==[ alpha ]==> ((^x.((x x) x))(b (^y.a))) 3. ==[ beta ]==> (((b (^y.a))(b (^y.a)))(b (^y.a))) 4. ==[ alpha ]==> (((b (^x.a))(b (^y.a)))(b (^z.a))) REDUCED to normal form. ------ 28322/1628799. ------ 1. ==[ start ]==> ((^a.(^a.b))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 28323/1628820. ------ 1. ==[ start ]==> (((a a)((a a) a))(^b.(^c.a))) 2. ==[ alpha ]==> (((a a)((a a) a))(^x.(^y.a))) REDUCED to normal form. ------ 28324/1628979. ------ 1. ==[ start ]==> ((^a.(a b))(a (^c.a))) 2. ==[ alpha ]==> ((^x.(x b))(a (^y.a))) 3. ==[ beta ]==> ((a (^y.a)) b) 4. ==[ alpha ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 28325/1628982. ------ 1. ==[ start ]==> ((a (a b))(^a.(^c.a))) 2. ==[ alpha ]==> ((a (a b))(^x.(^y.x))) REDUCED to normal form. ------ 28326/1629261. ------ 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 a)))(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^x.(^z.z))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 28327/1629366. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a a)(a (a a)))) 3. ==[ beta ]==> (^y.(((a a)(a (a a)))((a a)(a (a a))))) 4. ==[ alpha ]==> (^x.(((a a)(a (a a)))((a a)(a (a a))))) REDUCED to normal form. ------ 28328/1629369. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^c.(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(a (a a)))) REDUCED to normal form. ------ 28329/1629387. ------ 1. ==[ start ]==> (((a a)(a b))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 28330/1629495. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(^x1.(a (a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(^x1.(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(a (a a)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(a (a a)))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(a (a a)))) 7. ==[ beta ]==> (a (^y.(a (a a)))) 8. ==[ alpha ]==> (a (^x.(a (a a)))) REDUCED to normal form. ------ 28331/1629573. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(^a.a))(^b.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. ------ 28332/1629612. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^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. ------ 28333/1629882. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.(x x))((^y.y)(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.x1)) 5. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.x1)) 6. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.y1)) 7. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.y1)) 8. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.x1)) 9. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 10. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 11. ==[ beta ]==> ((^y.y)(^z.z)) 12. ==[ alpha ]==> ((^x.x)(^y.y)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 28334/1629945. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^b.c)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.c)) REDUCED to normal form. ------ 28335/1630062. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 28336/1630116. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 28337/1630143. ------ 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. ------ 28338/1630170. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^b.(^a.a))) 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. ------ 28339/1630188. ------ 1. ==[ start ]==> (((^a.b) c)(^b.a)) 2. ==[ alpha ]==> (((^x.b) c)(^y.a)) 3. ==[ beta ]==> (b (^y.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 28340/1630197. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 28341/1630227. ------ 1. ==[ start ]==> ((a (^a.a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((a b)(a (^y.y)))) REDUCED to normal form. ------ 28342/1630236. ------ 1. ==[ start ]==> (((^a.a) a)((^a.b) c)) 2. ==[ alpha ]==> (((^x.x) a)((^y.b) c)) 3. ==[ beta ]==> (a ((^y.b) c)) 4. ==[ alpha ]==> (a ((^x.b) c)) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 28343/1630254. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y) a))) 5. ==[ beta ]==> (((a a) a)((^y.y) a)) 6. ==[ alpha ]==> (((a a) a)((^x.x) a)) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 28344/1630281. ------ 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)))) 7. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 28345/1630308. ------ 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. ------ 28346/1630362. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 28347/1630389. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)((^y.y)(a a))) 6. ==[ alpha ]==> ((a a)((^x.x)(a a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 28348/1630425. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 28349/1630452. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 28350/1630506. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 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. ------ 28351/1630515. ------ 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 (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 28352/1630542. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((^y.y)(^z.z)))) 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. ------ 28353/1630587. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))(^z.b))) REDUCED to normal form. ------ 28354/1630614. ------ 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. ------ 28355/1630641. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(a a)) a)) 3. ==[ beta ]==> (((a a)(^x.a))((a a) a)) REDUCED to normal form. ------ 28356/1630668. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a b) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a b) b)) REDUCED to normal form. ------ 28357/1630731. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 28358/1630758. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(^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. ------ 28359/1630785. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a (a a))((^y.a)(^z.a))) 4. ==[ alpha ]==> ((a (a a))((^x.a)(^y.a))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 28360/1630812. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(^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. ------ 28361/1630821. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(b (a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b (a b))) 3. ==[ beta ]==> ((^y.(y y))(b (a b))) 4. ==[ alpha ]==> ((^x.(x x))(b (a b))) 5. ==[ beta ]==> ((b (a b))(b (a b))) REDUCED to normal form. ------ 28362/1630848. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(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. ------ 28363/1630884. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.b) b)) 3. ==[ beta ]==> ((a b)((^y.b) b)) 4. ==[ alpha ]==> ((a b)((^x.b) b)) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 28364/1630902. ------ 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 ]==> (((^y.y)(^y.y))(((a a) a)(a (^z.z)))) 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. ------ 28365/1630929. ------ 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))((^y.y)((^z.z) a))) 6. ==[ alpha ]==> ((a (a a))((^x.x)((^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. ------ 28366/1630956. ------ 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. ------ 28367/1631010. ------ 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 (^y.y))((a a) a))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))((a a) a))) REDUCED to normal form. ------ 28368/1631037. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(a b))) REDUCED to normal form. ------ 28369/1631055. ------ 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. ------ 28370/1631082. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.b)(a a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.b)(a a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.b)(a a))) 5. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 28371/1631127. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((b b)(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((b b)(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> ((b b)((^y.y)(^z.a))) 6. ==[ alpha ]==> ((b b)((^x.x)(^y.a))) 7. ==[ beta ]==> ((b b)(^y.a)) 8. ==[ alpha ]==> ((b b)(^x.a)) REDUCED to normal form. ------ 28372/1631136. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 28373/1631163. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(a (a a)))) 5. ==[ beta ]==> ((a (^x.x))((a (a a))(a (a a)))) REDUCED to normal form. ------ 28374/1631262. ------ 1. ==[ start ]==> (((a (a a)) b)((a b) a)) REDUCED to normal form. ------ 28375/1631289. ------ 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. ------ 28376/1631316. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^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. ------ 28377/1631595. ------ 1. ==[ start ]==> ((a ((a a) a))(b (^c.a))) 2. ==[ alpha ]==> ((a ((a a) a))(b (^x.a))) REDUCED to normal form. ------ 28378/1631721. ------ 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 x1)))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> (b (((^y.y) a)(^z.(z z)))) 6. ==[ alpha ]==> (b (((^x.x) a)(^y.(y y)))) 7. ==[ beta ]==> (b (a (^y.(y y)))) 8. ==[ alpha ]==> (b (a (^x.(x x)))) REDUCED to normal form. ------ 28379/1631748. ------ 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. ------ 28380/1631802. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a) a)) REDUCED to normal form. ------ 28381/1631829. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> ((a (^x.(x x)))((^z.z) b)) 6. ==[ alpha ]==> ((a (^x.(x x)))((^y.y) b)) 7. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 28382/1631856. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a (a a)) c)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a (a a)) c)) REDUCED to normal form. ------ 28383/1631928. ------ 1. ==[ start ]==> ((a (^a.b))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (^x.b))(b (^z.z))) 4. ==[ alpha ]==> ((a (^x.b))(b (^y.y))) REDUCED to normal form. ------ 28384/1632081. ------ 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. ------ 28385/1632108. ------ 1. ==[ start ]==> ((a (a b))(a (^c.a))) 2. ==[ alpha ]==> ((a (a b))(a (^x.a))) REDUCED to normal form. ------ 28386/1632261. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x)(^y.y)) a)) 3. ==[ beta ]==> ((((a a) a) b)((^y.y) a)) 4. ==[ alpha ]==> ((((a a) a) b)((^x.x) a)) 5. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 28387/1632288. ------ 1. ==[ start ]==> (((a b) a)((a (a a)) b)) REDUCED to normal form. ------ 28388/1632315. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a) a) c)) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y) a) c)) 3. ==[ beta ]==> (((a a)(^x.b))(a c)) REDUCED to normal form. ------ 28389/1632387. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(a ((^x.x)(^y.y)))) 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. ------ 28390/1632396. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(^z.z)) 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. ------ 28391/1632423. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(x1 x1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z)) b)) 5. ==[ beta ]==> ((^y.a)((^z.(z z)) b)) 6. ==[ alpha ]==> ((^x.a)((^y.(y y)) b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 28392/1632450. ------ 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. ------ 28393/1632468. ------ 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 ((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. ------ 28394/1632495. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a a)(a (a a)))) REDUCED to normal form. ------ 28395/1632513. ------ 1. ==[ start ]==> (((a a)(a b))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(a (^x.(^y.y)))) REDUCED to normal form. ------ 28396/1632540. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(y y))(a a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((a a)(a a))) REDUCED to normal form. ------ 28397/1632567. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.a)(a (^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)(a (^z.z)))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 28398/1632594. ------ 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. ------ 28399/1632621. ------ 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)(a (a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)(a (a a)))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(a (a a)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)(a (a a)))) 7. ==[ beta ]==> (a ((^y.y)(a (a a)))) 8. ==[ alpha ]==> (a ((^x.x)(a (a a)))) 9. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 28400/1632648. ------ 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))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((^z.z)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.y)(^z.z))) 5. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 28401/1632666. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y) a) b)) 3. ==[ beta ]==> (b (((^y.y) a) b)) 4. ==[ alpha ]==> (b (((^x.x) a) b)) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 28402/1632675. ------ 1. ==[ start ]==> (((a b)(a a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 28403/1632702. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(^a.a))(^b.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. ------ 28404/1632711. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(b ((^z.z) a))) 3. ==[ beta ]==> ((^y.(a a))(b ((^z.z) a))) 4. ==[ alpha ]==> ((^x.(a a))(b ((^y.y) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 28405/1632738. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 28406/1632792. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(a (^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1))(a (^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(a (^z.z)))) 7. ==[ beta ]==> ((a (^y.y))(a (^z.z))) 8. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 28407/1632873. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(c b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c b)) 3. ==[ beta ]==> (b (c b)) REDUCED to normal form. ------ 28408/1632882. ------ 1. ==[ start ]==> (((a b) b)((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 28409/1632909. ------ 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. ------ 28410/1632936. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y) a) a)) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a a)) REDUCED to normal form. ------ 28411/1632954. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(c (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(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. ------ 28412/1632963. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (^z.z)) b)) REDUCED to normal form. ------ 28413/1633008. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(a ((^x1.x1) a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(a ((^x1.x1) a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(a ((^y1.y1) a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(a ((^y1.y1) a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a ((^x1.x1) a))) 7. ==[ beta ]==> (((^y.y)(^z.z))(a ((^x1.x1) a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(a ((^z.z) a))) 9. ==[ beta ]==> ((^y.y)(a ((^z.z) a))) 10. ==[ alpha ]==> ((^x.x)(a ((^y.y) a))) 11. ==[ beta ]==> (a ((^y.y) a)) 12. ==[ alpha ]==> (a ((^x.x) a)) 13. ==[ beta ]==> (a a) REDUCED to normal form. ------ 28414/1633017. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a) a)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 28415/1633044. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1)) b)) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z)) b)) 7. ==[ beta ]==> (((^y.(^z.z)) b)((^y.(^z.z)) b)) 8. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1)) b)) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) b)) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 11. ==[ beta ]==> ((^y.(^z.z)) b) 12. ==[ alpha ]==> ((^x.(^y.y)) b) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 28416/1633071. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.a) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y) c)) 3. ==[ beta ]==> ((((a a) a)(^x.a)) c) REDUCED to normal form. ------ 28417/1633089. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(c a)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(c a)) 3. ==[ beta ]==> (b (c a)) REDUCED to normal form. ------ 28418/1633098. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 28419/1633125. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a a)(^a.(^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)))) REDUCED to normal form. ------ 28420/1633161. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))(^x1.x1))) 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. ------ 28421/1633188. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.a)(^a.(^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. ------ 28422/1633215. ------ 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. ------ 28423/1633242. ------ 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))(^y.y))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 28424/1633269. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.z)(a a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.z)(a a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y)(a a))) 5. ==[ beta ]==> ((a (a a))((^y.y)(a a))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(a a))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 28425/1633296. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.y)(^z.z))) 3. ==[ beta ]==> ((((a a) a) a)((^y.y)(^z.z))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.x)(^y.y))) 5. ==[ beta ]==> ((((a a) a) a)(^y.y)) 6. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 28426/1633314. ------ 1. ==[ start ]==> (((^a.b) c)((^a.a) a)) 2. ==[ alpha ]==> (((^x.b) c)((^y.y) a)) 3. ==[ beta ]==> (b ((^y.y) a)) 4. ==[ alpha ]==> (b ((^x.x) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 28427/1633323. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 28428/1633340. ------ 1. ==[ start ]==> (^a.((^b.(a a)) b)) 2. ==[ alpha ]==> (^x.((^y.(x x)) b)) 3. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 28429/1633341. ------ 1. ==[ start ]==> (a ((^b.(a a)) b)) 2. ==[ alpha ]==> (a ((^x.(a a)) b)) 3. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 28430/1636443. ------ 1. ==[ start ]==> (((^a.b) c) d) 2. ==[ alpha ]==> (((^x.b) c) d) 3. ==[ beta ]==> (b d) REDUCED to normal form. ------ 28431/1636452. ------ 1. ==[ start ]==> (((a b)(a (^a.a))) c) 2. ==[ alpha ]==> (((a b)(a (^x.x))) c) REDUCED to normal form. ------ 28432/1636476. ------ 1. ==[ start ]==> ((^a.a)((^b.(a a)) b)) 2. ==[ alpha ]==> ((^x.x)((^y.(a a)) b)) 3. ==[ beta ]==> ((^y.(a a)) b) 4. ==[ alpha ]==> ((^x.(a a)) b) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 28433/1636503. ------ 1. ==[ start ]==> ((^a.(a a))((^a.b) c)) 2. ==[ alpha ]==> ((^x.(x x))((^y.b) c)) 3. ==[ beta ]==> (((^y.b) c)((^y.b) c)) 4. ==[ alpha ]==> (((^x.b) c)((^y.b) c)) 5. ==[ beta ]==> (b ((^y.b) c)) 6. ==[ alpha ]==> (b ((^x.b) c)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 28434/1636530. ------ 1. ==[ start ]==> ((^a.b)((^c.a) d)) 2. ==[ alpha ]==> ((^x.b)((^y.a) d)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 28435/1636728. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (^y.((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> (^x.((^y.b)(a (^z.z)))) 5. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 28436/1636800. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (a a))(^z.(^x1.x1)))) 3. ==[ eta ]==> ((^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. ------ 28437/1636893. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y) a)(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (a (^y.((^z.z)(a a)))) 6. ==[ alpha ]==> (a (^x.((^y.y)(a a)))) 7. ==[ beta ]==> (a (^x.(a a))) REDUCED to normal form. ------ 28438/1637109. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^b.(^b.(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. ------ 28439/1637295. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (^x1.b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 28440/1637421. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a (a a))(^x1.(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. ------ 28441/1637514. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(a x1))) 3. ==[ eta ]==> (((^x.(x x))(^y.(^z.z))) a) 4. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z))) a) 5. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1))) a) 6. ==[ beta ]==> ((^y.y) a) 7. ==[ alpha ]==> ((^x.x) a) 8. ==[ beta ]==> a REDUCED to normal form. ------ 28442/1637892. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.b))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.b))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.b))) 5. ==[ beta ]==> (^y.(^z.b)) 6. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 28443/1638054. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 28444/1638186. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 28445/1638360. ------ 1. ==[ start ]==> (((^a.b) a)(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 28446/1638378. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^a.(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.z))) 3. ==[ beta ]==> ((^y.b)(^z.(^x1.z))) 4. ==[ alpha ]==> ((^x.b)(^y.(^z.y))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 28447/1638648. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^b.(^b.(^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. ------ 28448/1638657. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 28449/1638753. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(b (^z.(z z)))) 3. ==[ beta ]==> (^y.((b (^z.(z z)))(b (^z.(z z))))) 4. ==[ alpha ]==> (^x.((b (^y.(y y)))(b (^z.(z z))))) REDUCED to normal form. ------ 28450/1638999. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^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. ------ 28451/1639188. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.((^z.z) a))) 5. ==[ beta ]==> ((a a)(^y.((^z.z) a))) 6. ==[ alpha ]==> ((a a)(^x.((^y.y) a))) 7. ==[ beta ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 28452/1639269. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.(^y1.a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(^z1.a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.a))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.a))) 9. ==[ beta ]==> ((^y.y)(^z.(^x1.a))) 10. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 11. ==[ beta ]==> (^y.(^z.a)) 12. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 28453/1639278. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^a.((^a.a) a))) 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. ------ 28454/1639332. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(a (^z.z)))) REDUCED to normal form. ------ 28455/1639350. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(^x1.z))) 3. ==[ beta ]==> (b (^z.(^x1.z))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 28456/1639449. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^c.b)) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.b)) REDUCED to normal form. ------ 28457/1639503. ------ 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))(^y.y))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 28458/1639575. ------ 1. ==[ start ]==> (((^a.b) c)(^a.(a a))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(y y))) 3. ==[ beta ]==> (b (^y.(y y))) 4. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 28459/1639584. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^b.a)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.a)) REDUCED to normal form. ------ 28460/1639614. ------ 1. ==[ start ]==> ((a a)((^b.(a a)) b)) 2. ==[ alpha ]==> ((a a)((^x.(a a)) b)) 3. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 28461/1639632. ------ 1. ==[ start ]==> (((^a.a) a)((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((a b)(a (^y.y)))) 3. ==[ beta ]==> (a ((a b)(a (^y.y)))) 4. ==[ alpha ]==> (a ((a b)(a (^x.x)))) REDUCED to normal form. ------ 28462/1639641. ------ 1. ==[ start ]==> ((a (a a))((^a.b) c)) 2. ==[ alpha ]==> ((a (a a))((^x.b) c)) 3. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 28463/1639659. ------ 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. ------ 28464/1639668. ------ 1. ==[ start ]==> ((a b)((^c.a) d)) 2. ==[ alpha ]==> ((a b)((^x.a) d)) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 28465/1639686. ------ 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))((^z.z)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.x))(a (a a))) REDUCED to normal form. ------ 28466/1639713. ------ 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. ------ 28467/1639740. ------ 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. ------ 28468/1639767. ------ 1. ==[ start ]==> (((a a) b)((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a a) b)((a (^x.x))(a b))) REDUCED to normal form. ------ 28469/1639785. ------ 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)(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. ------ 28470/1639794. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a a)(a a))) REDUCED to normal form. ------ 28471/1639839. ------ 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)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 28472/1639866. ------ 1. ==[ start ]==> ((a (^b.a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 28473/1639884. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a) a)(^y.a))) REDUCED to normal form. ------ 28474/1639911. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^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. ------ 28475/1639938. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (a a))(^b.(^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. ------ 28476/1639947. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 28477/1639974. ------ 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)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 28478/1640028. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y) a)((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> (a ((^y.y)((^z.z)(a a)))) 6. ==[ alpha ]==> (a ((^x.x)((^y.y)(a a)))) 7. ==[ beta ]==> (a ((^y.y)(a a))) 8. ==[ alpha ]==> (a ((^x.x)(a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 28479/1640055. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 28480/1640217. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> (((^y.(^z.z))(^x1.b))((^y.(^z.z))(^x1.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. ------ 28481/1640244. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.a)(^b.(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. ------ 28482/1640280. ------ 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. ------ 28483/1640307. ------ 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. ------ 28484/1640334. ------ 1. ==[ start ]==> (((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))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((^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. ------ 28485/1640361. ------ 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. ------ 28486/1640388. ------ 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. ------ 28487/1640415. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 28488/1640433. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.b))) REDUCED to normal form. ------ 28489/1640478. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a b)(^z.z))) 3. ==[ beta ]==> (((a (^x.x)) a)((a b)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a b)(^y.y))) REDUCED to normal form. ------ 28490/1640505. ------ 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. ------ 28491/1640532. ------ 1. ==[ start ]==> (((a (a a))(a a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a a))(((^x.x)(^y.y))(^z.a))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.y)(^z.a))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.x)(^y.a))) 5. ==[ beta ]==> (((a (a a))(a a))(^y.a)) 6. ==[ alpha ]==> (((a (a a))(a a))(^x.a)) REDUCED to normal form. ------ 28492/1640559. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 28493/1640568. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 28494/1640595. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 28495/1640649. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)(a b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)(a b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(a b))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)(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. ------ 28496/1640730. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.(^a.a))(^b.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. ------ 28497/1640784. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.a)(^b.(^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)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 28498/1640820. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(b ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(b ((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(b ((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(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. ------ 28499/1640856. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.b) a)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.b) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b) a)) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 28500/1640910. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z)) c)) 5. ==[ beta ]==> ((a a)((^y.(^z.z)) 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. ------ 28501/1641027. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (^y1.b))) 3. ==[ beta ]==> ((^y.y)(a (^y1.b))) 4. ==[ alpha ]==> ((^x.x)(a (^y.b))) 5. ==[ beta ]==> (a (^y.b)) 6. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 28502/1641081. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(a (^z.z)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 28503/1641162. ------ 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)(^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. ------ 28504/1641189. ------ 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)((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. ------ 28505/1641243. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a ((^x.x) 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. ------ 28506/1641324. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 28507/1641396. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.(^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. ------ 28508/1641495. ------ 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 ((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. ------ 28509/1641513. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(a (^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(a (^z.a))) 3. ==[ beta ]==> ((^y.b)(a (^z.a))) 4. ==[ alpha ]==> ((^x.b)(a (^y.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 28510/1641594. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a)((^x1.x1) a))) IRREDUCIBLE: cycle. ------ 28511/1641675. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (b ((^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. ------ 28512/1641702. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(a a))(^a.(^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. ------ 28513/1641729. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 28514/1641765. ------ 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. ------ 28515/1641783. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^y.(^z.z))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 28516/1641792. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a (^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 28517/1641819. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a (a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a (a a))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a (a a))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a (a a))(a a))) 5. ==[ beta ]==> ((^y.a)((a (a a))(a a))) 6. ==[ alpha ]==> ((^x.a)((a (a a))(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 28518/1641846. ------ 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. ------ 28519/1641864. ------ 1. ==[ start ]==> (((^a.b)(a a))(c (^b.a))) 2. ==[ alpha ]==> (((^x.b)(a a))(c (^y.a))) 3. ==[ beta ]==> (b (c (^y.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 28520/1641873. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 28521/1641891. ------ 1. ==[ start ]==> ((a (^b.(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(b (^y.(y y)))) REDUCED to normal form. ------ 28522/1641936. ------ 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. ------ 28523/1641963. ------ 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. ------ 28524/1641990. ------ 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. ------ 28525/1642017. ------ 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. ------ 28526/1642044. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a (a a)) a)) REDUCED to normal form. ------ 28527/1642071. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x) a) b)) 3. ==[ beta ]==> (((a b)(a a))(a b)) REDUCED to normal form. ------ 28528/1642107. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(^a.a))(^b.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. ------ 28529/1642134. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^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. ------ 28530/1642188. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(c (^a.(^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. ------ 28531/1642269. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)(a a))) 3. ==[ beta ]==> (b ((^x1.a)(a a))) 4. ==[ alpha ]==> (b ((^x.a)(a a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 28532/1642278. ------ 1. ==[ start ]==> (((a b) b)(c b)) REDUCED to normal form. ------ 28533/1642305. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(b c)) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(b c)) 3. ==[ beta ]==> (((a a) a)(b c)) REDUCED to normal form. ------ 28534/1642323. ------ 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) a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((a a)((^y.y)((^z.z) a))) 6. ==[ alpha ]==> ((a a)((^x.x)((^y.y) a))) 7. ==[ beta ]==> ((a a)((^y.y) a)) 8. ==[ alpha ]==> ((a a)((^x.x) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 28535/1642350. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 28536/1642359. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(c (a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(c (a a))) REDUCED to normal form. ------ 28537/1642404. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.y1)(^z1.a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)(^z1.a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)(^y1.a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.a))) 9. ==[ beta ]==> ((^y.y)((^z.z)(^x1.a))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(^z.a))) 11. ==[ beta ]==> ((^y.y)(^z.a)) 12. ==[ alpha ]==> ((^x.x)(^y.a)) 13. ==[ beta ]==> (^y.a) 14. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 28538/1642413. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a ((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 28539/1642440. ------ 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.x1))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z))(a a))) 5. ==[ beta ]==> ((^y.(y y))((a (^z.z))(a a))) 6. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(a a))) 7. ==[ beta ]==> (((a (^y.y))(a a))((a (^y.y))(a a))) 8. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))(a a))) REDUCED to normal form. ------ 28540/1642467. ------ 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. ------ 28541/1642485. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(a (^z.a))) 3. ==[ beta ]==> (b (a (^z.a))) 4. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 28542/1642494. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(c a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c a)) REDUCED to normal form. ------ 28543/1642521. ------ 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)) REDUCED to normal form. ------ 28544/1642557. ------ 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)(a a))((a (^y.y)) a)) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x)) a)) REDUCED to normal form. ------ 28545/1642584. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a a) b)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a a) b)) REDUCED to normal form. ------ 28546/1642611. ------ 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. ------ 28547/1642638. ------ 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)) 5. ==[ beta ]==> (((a (a a))(^x.x)) b) REDUCED to normal form. ------ 28548/1642665. ------ 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. ------ 28549/1642692. ------ 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. ------ 28550/1642710. ------ 1. ==[ start ]==> (((^a.b) c)(a (a a))) 2. ==[ alpha ]==> (((^x.b) c)(a (a a))) 3. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 28551/1642719. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.a) a)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y) a)) 3. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 28552/1642745. ------ 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. ------ 28553/1642746. ------ 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. ------ 28554/1644639. ------ 1. ==[ start ]==> ((^a.(a b))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.((^z.z)(^x1.x1))) b) 4. ==[ alpha ]==> ((^x.((^y.y)(^z.z))) b) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 28555/1645884. ------ 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. ------ 28556/1645890. ------ 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. ------ 28557/1645899. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.(a a)) b)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a)) b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 28558/1645917. ------ 1. ==[ start ]==> ((^a.(a a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((a b)(a (^y.y)))) 3. ==[ beta ]==> (((a b)(a (^y.y)))((a b)(a (^y.y)))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((a b)(a (^y.y)))) REDUCED to normal form. ------ 28559/1645944. ------ 1. ==[ start ]==> ((^a.b)(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.b)(((a a) a)((^y.y) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 28560/1646025. ------ 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. ------ 28561/1646142. ------ 1. ==[ start ]==> ((^a.(^b.a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (^x.((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 28562/1646316. ------ 1. ==[ start ]==> (((a a)(^b.a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.a))(^y.(a a))) REDUCED to normal form. ------ 28563/1646937. ------ 1. ==[ start ]==> (((a (a a)) b)(^b.(a b))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(a x))) 3. ==[ eta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 28564/1647135. ------ 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)(^y.y))(^z.(z b))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(y b))) REDUCED to normal form. ------ 28565/1647267. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a (^y.y))((^z.z)(^x1.x1)))((a (^y.y))((^z.z)(^x1.x1))))((a (^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a (^x.x))((^y.y)(^z.z)))((a (^x1.x1))((^y1.y1)(^z1.z1))))((a (^x2.x2))((^y2.y2)(^z2.z2)))) 5. ==[ beta ]==> ((((a (^x.x))(^z.z))((a (^x1.x1))((^y1.y1)(^z1.z1))))((a (^x2.x2))((^y2.y2)(^z2.z2)))) 6. ==[ alpha ]==> ((((a (^x.x))(^y.y))((a (^z.z))((^x1.x1)(^y1.y1))))((a (^z1.z1))((^x2.x2)(^y2.y2)))) 7. ==[ beta ]==> ((((a (^x.x))(^y.y))((a (^z.z))(^y1.y1)))((a (^z1.z1))((^x2.x2)(^y2.y2)))) 8. ==[ alpha ]==> ((((a (^x.x))(^y.y))((a (^z.z))(^x1.x1)))((a (^y1.y1))((^z1.z1)(^x2.x2)))) 9. ==[ beta ]==> ((((a (^x.x))(^y.y))((a (^z.z))(^x1.x1)))((a (^y1.y1))(^x2.x2))) 10. ==[ alpha ]==> ((((a (^x.x))(^y.y))((a (^z.z))(^x1.x1)))((a (^y1.y1))(^z1.z1))) REDUCED to normal form. ------ 28566/1647477. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.((a a) a))) REDUCED to normal form. ------ 28567/1647648. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.((x1 x1) x1))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.((x1 x1) x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.((z z) z))) REDUCED to normal form. ------ 28568/1647780. ------ 1. ==[ start ]==> ((^a.(a b))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((a a)((^y.y)(^z.z)))) 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. ------ 28569/1647783. ------ 1. ==[ start ]==> ((a (a b))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a b))(^x.(^z.z))) 4. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 28570/1647936. ------ 1. ==[ start ]==> ((((a a) a) b)(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a) b)(^x.(^z.z))) 4. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.y))) REDUCED to normal form. ------ 28571/1648071. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 28572/1648188. ------ 1. ==[ start ]==> (((a a)(a b))(^c.(a (a a)))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(a (a a)))) REDUCED to normal form. ------ 28573/1648413. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^c.d)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^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. ------ 28574/1648611. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^y.a)) REDUCED to normal form. ------ 28575/1648692. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 28576/1648764. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^b.c)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.c)) 3. ==[ beta ]==> (b (^z.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 28577/1648773. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 28578/1648890. ------ 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. ------ 28579/1648971. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^a.b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(^y.b)) 3. ==[ beta ]==> ((((a a) a) a)(^y.b)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.b)) REDUCED to normal form. ------ 28580/1648989. ------ 1. ==[ start ]==> (((^a.b) c)(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(^z.z))) 3. ==[ beta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 28581/1648998. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(y y))) REDUCED to normal form. ------ 28582/1649025. ------ 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. ------ 28583/1649037. ------ 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. ------ 28584/1649046. ------ 1. ==[ start ]==> ((a (^a.a))((^b.(a a)) b)) 2. ==[ alpha ]==> ((a (^x.x))((^y.(a a)) b)) 3. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 28585/1649064. ------ 1. ==[ start ]==> ((a (a a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (a a))((a b)(a (^x.x)))) REDUCED to normal form. ------ 28586/1649073. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.b) c)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b) c)) 3. ==[ beta ]==> ((^y.y)((^z.b) c)) 4. ==[ alpha ]==> ((^x.x)((^y.b) c)) 5. ==[ beta ]==> ((^y.b) c) 6. ==[ alpha ]==> ((^x.b) c) 7. ==[ beta ]==> b REDUCED to normal form. ------ 28587/1649091. ------ 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. ------ 28588/1649145. ------ 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. ------ 28589/1649172. ------ 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. ------ 28590/1649190. ------ 1. ==[ start ]==> (((a a) b)(c (^a.b))) 2. ==[ alpha ]==> (((a a) b)(c (^x.b))) REDUCED to normal form. ------ 28591/1649217. ------ 1. ==[ start ]==> (((a (^a.a)) a)(b (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(b (^y.(a a)))) REDUCED to normal form. ------ 28592/1649262. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.z))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.z)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.y)) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 28593/1649271. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(a a))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 28594/1649289. ------ 1. ==[ start ]==> ((a (^b.a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 28595/1649325. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^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. ------ 28596/1649370. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (a a))(^b.(^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. ------ 28597/1649406. ------ 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 (^x.x)) b) a) REDUCED to normal form. ------ 28598/1649433. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(^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))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 28599/1649451. ------ 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. ------ 28600/1649460. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.a))((^z.z)(a a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(a a))) 5. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 28601/1649478. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 28602/1649487. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 28603/1649514. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 28604/1649622. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.a)(^z.a))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.a))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.a))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 28605/1649721. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.b) b)) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.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. ------ 28606/1649874. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a a)(a b))) REDUCED to normal form. ------ 28607/1649946. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((b b)((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> ((b b)((^x.a)(a (^y.y)))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 28608/1649991. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((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. ------ 28609/1650018. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 28610/1650072. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a)(^x1.b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a)(^x1.b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(^y1.b))) 5. ==[ beta ]==> ((^y.y)((a a)(^y1.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. ------ 28611/1650081. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.a)(a b))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.x)(a b))) 3. ==[ beta ]==> (((a (a a)) b)(a b)) REDUCED to normal form. ------ 28612/1650108. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.b)(^x1.x1))) 3. ==[ beta ]==> (((^y.y) a)((^z.b)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) a)((^y.b)(^z.z))) 5. ==[ beta ]==> (a ((^y.b)(^z.z))) 6. ==[ alpha ]==> (a ((^x.b)(^y.y))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 28613/1650126. ------ 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. ------ 28614/1650135. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.a)(^a.(^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. ------ 28615/1650162. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.x1))(^y1.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. ------ 28616/1650189. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.a))((^z.(z z))(^z.(z z)))) 6. ==[ alpha ]==> ((a (^x.a))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 28617/1650216. ------ 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. ------ 28618/1650279. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(a (a b))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(a (a b))) 3. ==[ beta ]==> (((a a)(^y.y))(a (a b))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (a b))) REDUCED to normal form. ------ 28619/1650306. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((a a) a)(a a))) REDUCED to normal form. ------ 28620/1650333. ------ 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)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^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)((^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. ------ 28621/1650360. ------ 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. ------ 28622/1650387. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)(a (a a)))) 5. ==[ beta ]==> ((a a)(((^y.y) a)(a (a a)))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)(a (a a)))) 7. ==[ beta ]==> ((a a)(a (a (a a)))) REDUCED to normal form. ------ 28623/1650414. ------ 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. ------ 28624/1650504. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (a (((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 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)))) 9. ==[ beta ]==> (a (^y.(^z.z))) 10. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 28625/1650540. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y) b)((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> (b ((^y.(y y))((^z.z) a))) 6. ==[ alpha ]==> (b ((^x.(x x))((^y.y) a))) 7. ==[ beta ]==> (b (((^y.y) a)((^y.y) a))) 8. ==[ alpha ]==> (b (((^x.x) a)((^y.y) a))) 9. ==[ beta ]==> (b (a ((^y.y) a))) 10. ==[ alpha ]==> (b (a ((^x.x) a))) 11. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 28626/1650567. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.a)(a (a a)))) 3. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 28627/1650585. ------ 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. ------ 28628/1650621. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a) a)) REDUCED to normal form. ------ 28629/1650666. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(^x1.x1)) b)) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(^x1.x1)) b)) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(^z.z)) b)) 7. ==[ beta ]==> ((a a)(((^y.y)(^z.z)) b)) 8. ==[ alpha ]==> ((a a)(((^x.x)(^y.y)) b)) 9. ==[ beta ]==> ((a a)((^y.y) b)) 10. ==[ alpha ]==> ((a a)((^x.x) b)) 11. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 28630/1650675. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.(^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. ------ 28631/1650702. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^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. ------ 28632/1650729. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 28633/1650765. ------ 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. ------ 28634/1650792. ------ 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))(^z.z))(a ((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a ((a a) a))) REDUCED to normal form. ------ 28635/1650819. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y)(^z.z))(a a))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(^y.y))(a a))) 5. ==[ beta ]==> ((a (a (a a)))((^y.y)(a a))) 6. ==[ alpha ]==> ((a (a (a a)))((^x.x)(a a))) 7. ==[ beta ]==> ((a (a (a a)))(a a)) REDUCED to normal form. ------ 28636/1650846. ------ 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. ------ 28637/1650873. ------ 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.y1) a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1) a)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) a)((^x1.x1) a))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> ((a (^x.x))(a ((^z.z) a))) 8. ==[ alpha ]==> ((a (^x.x))(a ((^y.y) a))) 9. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 28638/1650900. ------ 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. ------ 28639/1650918. ------ 1. ==[ start ]==> (((^a.b) a)(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(b (^y.(^z.z)))) 3. ==[ beta ]==> (b (b (^y.(^z.z)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 28640/1650927. ------ 1. ==[ start ]==> ((a (a b))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((a a)((^x.x)(^y.y)))) 3. ==[ beta ]==> ((a (a b))((a a)(^y.y))) 4. ==[ alpha ]==> ((a (a b))((a a)(^x.x))) REDUCED to normal form. ------ 28641/1651017. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) a)(^x1.a))) IRREDUCIBLE: cycle. ------ 28642/1651080. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.x)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a) b)((^y.y)(^z.z))) 4. ==[ alpha ]==> ((((a a) a) b)((^x.x)(^y.y))) 5. ==[ beta ]==> ((((a a) a) b)(^y.y)) 6. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 28643/1651098. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (b (((^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. ------ 28644/1651107. ------ 1. ==[ start ]==> (((a b) a)((^b.(^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. ------ 28645/1651125. ------ 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. ------ 28646/1651134. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.b))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 28647/1651188. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 28648/1651215. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 28649/1651287. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.a) c)) 2. ==[ alpha ]==> (((^x.b)(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. ------ 28650/1651296. ------ 1. ==[ start ]==> (((a b)(^a.a))(c (^b.a))) 2. ==[ alpha ]==> (((a b)(^x.x))(c (^y.a))) REDUCED to normal form. ------ 28651/1651332. ------ 1. ==[ start ]==> (((a a)(a b))((a a)(a (a a)))) REDUCED to normal form. ------ 28652/1651485. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(y y))(^z.z))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.z))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.y))) 5. ==[ beta ]==> (b ((^y.y)(^y.y))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 28653/1651530. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.z)) c)) 3. ==[ beta ]==> ((^y.(a a))((a (^z.z)) c)) 4. ==[ alpha ]==> ((^x.(a a))((a (^y.y)) c)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 28654/1651611. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a) b)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a) b)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a) b)) 5. ==[ beta ]==> ((^y.y)((^y1.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. ------ 28655/1651692. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> (b (((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.y))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 28656/1651701. ------ 1. ==[ start ]==> (((a b) b)((^b.a)(a a))) 2. ==[ alpha ]==> (((a b) b)((^x.a)(a a))) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 28657/1651728. ------ 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)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 28658/1651746. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a a)(^z.a))) 3. ==[ beta ]==> (((^y.y)(a a))((a a)(^z.a))) 4. ==[ alpha ]==> (((^x.x)(a a))((a a)(^y.a))) 5. ==[ beta ]==> ((a a)((a a)(^y.a))) 6. ==[ alpha ]==> ((a a)((a a)(^x.a))) REDUCED to normal form. ------ 28659/1651755. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((^z.z) a)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y) a)) 5. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 28660/1651773. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^z.z) a) a)) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 28661/1651782. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 28662/1651836. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.a)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 28663/1651890. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 28664/1651908. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.a) c)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.z) c)) 3. ==[ beta ]==> (b ((^z.z) c)) 4. ==[ alpha ]==> (b ((^x.x) c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 28665/1651917. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 28666/1651944. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a a))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 28667/1652007. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(b (a a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(b (a a))) REDUCED to normal form. ------ 28668/1652034. ------ 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. ------ 28669/1652061. ------ 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. ------ 28670/1652088. ------ 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. ------ 28671/1652115. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(a b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(a b)) 3. ==[ beta ]==> ((((a a) a) a)(a b)) REDUCED to normal form. ------ 28672/1652133. ------ 1. ==[ start ]==> (((^a.b) c)((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b) c)((^y.y)(^z.z))) 3. ==[ beta ]==> (b ((^y.y)(^z.z))) 4. ==[ alpha ]==> (b ((^x.x)(^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 28673/1652142. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(a (a a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(a (a a))) REDUCED to normal form. ------ 28674/1652169. ------ 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. ------ 28675/1655316. ------ 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. ------ 28676/1655340. ------ 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. ------ 28677/1655421. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 28678/1655655. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1))(a (a a)))) 3. ==[ eta ]==> ((^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. ------ 28679/1655757. ------ 1. ==[ start ]==> (((a a)(^b.a))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.(a a)))) REDUCED to normal form. ------ 28680/1655925. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((^y.a)(^z.a))(((^y.a)(^z.a))((^y.a)(^z.a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.a)(^x1.a))((^y1.a)(^z1.a)))) 5. ==[ beta ]==> (a (((^z.a)(^x1.a))((^y1.a)(^z1.a)))) 6. ==[ alpha ]==> (a (((^x.a)(^y.a))((^z.a)(^x1.a)))) 7. ==[ beta ]==> (a (a ((^z.a)(^x1.a)))) 8. ==[ alpha ]==> (a (a ((^x.a)(^y.a)))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 28681/1656150. ------ 1. ==[ start ]==> ((^a.(^b.(^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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 28682/1656198. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.(z z)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.(y y)))) REDUCED to normal form. ------ 28683/1656276. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1) 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. ------ 28684/1656378. ------ 1. ==[ start ]==> (((a (a a)) b)(^c.(^a.b))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.b))) REDUCED to normal form. ------ 28685/1656576. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.(^x1.z))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.z))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 28686/1656747. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^c.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 28687/1656918. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^c.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.a))) REDUCED to normal form. ------ 28688/1657041. ------ 1. ==[ start ]==> ((^a.(^a.b))(c (a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(c (a (a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 28689/1657089. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.a))) REDUCED to normal form. ------ 28690/1657221. ------ 1. ==[ start ]==> ((^a.(a b))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(b (^y.(^z.z)))) 3. ==[ beta ]==> ((b (^y.(^z.z))) b) 4. ==[ alpha ]==> ((b (^x.(^y.y))) b) REDUCED to normal form. ------ 28691/1657233. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 28692/1657377. ------ 1. ==[ start ]==> ((((a a) a) b)(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 28693/1657608. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (^y.(((a (^z.z))((^x1.x1) a))((a (^z.z))((^x1.x1) a)))) 4. ==[ alpha ]==> (^x.(((a (^y.y))((^z.z) a))((a (^x1.x1))((^y1.y1) a)))) 5. ==[ beta ]==> (^x.(((a (^y.y)) a)((a (^x1.x1))((^y1.y1) a)))) 6. ==[ alpha ]==> (^x.(((a (^y.y)) a)((a (^z.z))((^x1.x1) a)))) 7. ==[ beta ]==> (^x.(((a (^y.y)) a)((a (^z.z)) a))) REDUCED to normal form. ------ 28694/1657656. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 28695/1657764. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(a (a a)))) REDUCED to normal form. ------ 28696/1657815. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.a)(^a.(^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. ------ 28697/1658052. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^c.(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.a))) REDUCED to normal form. ------ 28698/1658133. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^c.c)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 28699/1658205. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (b (^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 28700/1658214. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^b.c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.c)) REDUCED to normal form. ------ 28701/1658277. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(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. ------ 28702/1658331. ------ 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. ------ 28703/1658385. ------ 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. ------ 28704/1658412. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^b.(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) 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. ------ 28705/1658430. ------ 1. ==[ start ]==> (((^a.b) c)(^c.a)) 2. ==[ alpha ]==> (((^x.b) c)(^y.a)) 3. ==[ beta ]==> (b (^y.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 28706/1658439. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 28707/1658466. ------ 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. ------ 28708/1658496. ------ 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. ------ 28709/1658505. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.x) a)((^y.(a a)) b)) 3. ==[ beta ]==> (a ((^y.(a a)) b)) 4. ==[ alpha ]==> (a ((^x.(a a)) b)) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 28710/1658523. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(a (^z.z)))) 3. ==[ beta ]==> ((^y.y)((a b)(a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)((a b)(a (^y.y)))) 5. ==[ beta ]==> ((a b)(a (^y.y))) 6. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 28711/1658532. ------ 1. ==[ start ]==> (((a a) a)((^a.b) c)) 2. ==[ alpha ]==> (((a a) a)((^x.b) c)) 3. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 28712/1658550. ------ 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. ------ 28713/1658577. ------ 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)))((^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. ------ 28714/1658631. ------ 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. ------ 28715/1658658. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(a b))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a b))) 5. ==[ beta ]==> ((a (^y.y))(a b)) 6. ==[ alpha ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 28716/1658685. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^y.y))((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 28717/1658721. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.z))) REDUCED to normal form. ------ 28718/1658757. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a (^x.x))) b) REDUCED to normal form. ------ 28719/1658775. ------ 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)(((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. ------ 28720/1658811. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x) 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)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 28721/1658856. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a (^x.x)) b)(a (^z.a))) 4. ==[ alpha ]==> (((a (^x.x)) b)(a (^y.a))) REDUCED to normal form. ------ 28722/1658883. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a (^y.y))(^z.b))) 3. ==[ beta ]==> ((a a)((a (^y.y))(^z.b))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(^y.b))) REDUCED to normal form. ------ 28723/1658910. ------ 1. ==[ start ]==> (((a a)(^b.a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.(a a)))) REDUCED to normal form. ------ 28724/1658937. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(a a)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a) a)) REDUCED to normal form. ------ 28725/1658964. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a b) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a b) b)) 3. ==[ beta ]==> ((a (^y.y))((a b) b)) 4. ==[ alpha ]==> ((a (^x.x))((a b) b)) REDUCED to normal form. ------ 28726/1659027. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(^y1.(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. ------ 28727/1659054. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^y.(^z.z)))) 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. ------ 28728/1659081. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.a)(^y.a))) 3. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 28729/1659117. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(b (a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 28730/1659153. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.(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. ------ 28731/1659171. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a b)(a a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((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. ------ 28732/1659180. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.b) b)) 2. ==[ alpha ]==> (((a (a a)) a)((^x.b) b)) 3. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 28733/1659198. ------ 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. ------ 28734/1659225. ------ 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)(^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. ------ 28735/1659279. ------ 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)(a a))(((^y.y) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))(a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((a a)(a a))(a ((^x.x)(^y.y)))) 7. ==[ beta ]==> (((a a)(a a))(a (^y.y))) 8. ==[ alpha ]==> (((a a)(a a))(a (^x.x))) REDUCED to normal form. ------ 28736/1659306. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))((a a) a))) REDUCED to normal form. ------ 28737/1659324. ------ 1. ==[ start ]==> (((a a)(a (a a)))(b (^a.b))) 2. ==[ alpha ]==> (((a a)(a (a a)))(b (^x.b))) REDUCED to normal form. ------ 28738/1659351. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(a (^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(a (^z.(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(a (^y.(a a)))) REDUCED to normal form. ------ 28739/1659378. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.b)(a a))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.b)(a a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.b)(a a))) 5. ==[ beta ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 28740/1659396. ------ 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. ------ 28741/1659432. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 28742/1659531. ------ 1. ==[ start ]==> (((a (a a)) b)((a a)(^a.b))) 2. ==[ alpha ]==> (((a (a a)) b)((a a)(^x.b))) REDUCED to normal form. ------ 28743/1659558. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) 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. ------ 28744/1659585. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a) b)) REDUCED to normal form. ------ 28745/1659729. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(^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)(^x.x))(^z.b)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.b)) REDUCED to normal form. ------ 28746/1659900. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^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. ------ 28747/1659990. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (a a))(^z.a))) 3. ==[ beta ]==> (((^y.y) b)((a (a a))(^z.a))) 4. ==[ alpha ]==> (((^x.x) b)((a (a a))(^y.a))) 5. ==[ beta ]==> (b ((a (a a))(^y.a))) 6. ==[ alpha ]==> (b ((a (a a))(^x.a))) REDUCED to normal form. ------ 28748/1660017. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x) a)(^y.(y y)))) 3. ==[ beta ]==> ((((a a) a) a)(a (^y.(y y)))) 4. ==[ alpha ]==> ((((a a) a) a)(a (^x.(x x)))) REDUCED to normal form. ------ 28749/1660071. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^x1.a))) REDUCED to normal form. ------ 28750/1660098. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((a a) a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((a a) a) a)) 3. ==[ beta ]==> ((a (^y.(y y)))(((a a) a) a)) 4. ==[ alpha ]==> ((a (^x.(x x)))(((a a) a) a)) REDUCED to normal form. ------ 28751/1660125. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (((a (a a))(^x.a))((^z.z) b)) 4. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y) b)) 5. ==[ beta ]==> (((a (a a))(^x.a)) b) REDUCED to normal form. ------ 28752/1660197. ------ 1. ==[ start ]==> ((a (^a.b))(c (a (a a)))) 2. ==[ alpha ]==> ((a (^x.b))(c (a (a a)))) REDUCED to normal form. ------ 28753/1660215. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 28754/1660377. ------ 1. ==[ start ]==> ((a (a b))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(b (^x.(^y.y)))) REDUCED to normal form. ------ 28755/1660386. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.b)((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 28756/1660530. ------ 1. ==[ start ]==> ((((a a) a) b)((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 28757/1660557. ------ 1. ==[ start ]==> (((a b) a)(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a b) a)(((^x.x)(^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. ------ 28758/1660584. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.b))((a (a a)) b)) REDUCED to normal form. ------ 28759/1660656. ------ 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. ------ 28760/1660692. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z)) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 28761/1660719. ------ 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. ------ 28762/1660737. ------ 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 (((^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. ------ 28763/1660746. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.a) c)) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.a) c)) 3. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 28764/1660764. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a (^x.(a a)))((a (^y.y)) a)) REDUCED to normal form. ------ 28765/1660782. ------ 1. ==[ start ]==> (((a a)(a b))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))(b (^x.(x x)))) REDUCED to normal form. ------ 28766/1660809. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 28767/1660836. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(x1 x1))(a a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(z z))(a a))) 5. ==[ beta ]==> ((a (^y.y))((^z.(z z))(a a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(a a))) 7. ==[ beta ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 28768/1660863. ------ 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. ------ 28769/1660890. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> (a ((^y.(^z.z))((^x1.x1) a))) 8. ==[ alpha ]==> (a ((^x.(^y.y))((^z.z) a))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 28770/1660917. ------ 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. ------ 28771/1660935. ------ 1. ==[ start ]==> (((^a.b) b)((a (a a)) a)) 2. ==[ alpha ]==> (((^x.b) b)((a (a a)) a)) 3. ==[ beta ]==> (b ((a (a a)) a)) REDUCED to normal form. ------ 28772/1660944. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(x x))(^y.y))) 3. ==[ beta ]==> (((a b)(a a))((^y.y)(^y.y))) 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. ------ 28773/1660971. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.a)(^a.(^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. ------ 28774/1660980. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c (a (^z.z)))) 3. ==[ beta ]==> ((^y.(a a))(c (a (^z.z)))) 4. ==[ alpha ]==> ((^x.(a a))(c (a (^y.y)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 28775/1661007. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(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. ------ 28776/1661061. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a)(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(a a))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) 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. ------ 28777/1661151. ------ 1. ==[ start ]==> (((a b) b)(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a b) b)(((^x.x) a)(^y.y))) 3. ==[ beta ]==> (((a b) b)(a (^y.y))) 4. ==[ alpha ]==> (((a b) b)(a (^x.x))) REDUCED to normal form. ------ 28778/1661178. ------ 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. ------ 28779/1661196. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(b c)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(b c)) 3. ==[ beta ]==> (((^y.y)(a a))(b c)) 4. ==[ alpha ]==> (((^x.x)(a a))(b c)) 5. ==[ beta ]==> ((a a)(b c)) REDUCED to normal form. ------ 28780/1661205. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)(^y.a))) REDUCED to normal form. ------ 28781/1661232. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z) a) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a a)) REDUCED to normal form. ------ 28782/1661277. ------ 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. ------ 28783/1661286. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a a) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a) c)) REDUCED to normal form. ------ 28784/1661313. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^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 ((^y.a) a)) 10. ==[ alpha ]==> (a ((^x.a) a)) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 28785/1661340. ------ 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))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 28786/1661358. ------ 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 ((a a)(a (^z.z)))) 4. ==[ alpha ]==> (b ((a a)(a (^x.x)))) REDUCED to normal form. ------ 28787/1661367. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.a) c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z) c)) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) c) REDUCED to normal form. ------ 28788/1661394. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 28789/1661430. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (((a a)(a a))(a (^y.y))) 6. ==[ alpha ]==> (((a a)(a a))(a (^x.x))) REDUCED to normal form. ------ 28790/1661457. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(^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. ------ 28791/1661484. ------ 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. ------ 28792/1661511. ------ 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))(^y.y))(b (^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(b (^y.y))) REDUCED to normal form. ------ 28793/1661538. ------ 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. ------ 28794/1661565. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.a)(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.y)(a a))) 3. ==[ beta ]==> ((((a a) a) a)((^y.y)(a a))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.x)(a a))) 5. ==[ beta ]==> ((((a a) a) a)(a a)) REDUCED to normal form. ------ 28795/1661583. ------ 1. ==[ start ]==> (((^a.b) c)((a a) a)) 2. ==[ alpha ]==> (((^x.b) c)((a a) a)) 3. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 28796/1661592. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 28797/1661619. ------ 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. ------ 28798/1664826. ------ 1. ==[ start ]==> ((^a.(a a))((^b.(a a)) b)) 2. ==[ alpha ]==> ((^x.(x x))((^y.(a a)) b)) 3. ==[ beta ]==> (((^y.(a a)) b)((^y.(a a)) b)) 4. ==[ alpha ]==> (((^x.(a a)) b)((^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 a)) REDUCED to normal form. ------ 28799/1664853. ------ 1. ==[ start ]==> ((^a.b)((^a.b) c)) 2. ==[ alpha ]==> ((^x.b)((^y.b) c)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 28800/1665051. ------ 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))) 5. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 28801/1665123. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ eta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 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. ------ 28802/1665243. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (^y.((^z.z)(a a))) 6. ==[ alpha ]==> (^x.((^y.y)(a a))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 28803/1665294. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 28804/1665468. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.((^z.z)(y y)))) 3. ==[ beta ]==> ((a b)(^y.((^z.z)(y y)))) 4. ==[ alpha ]==> ((a b)(^x.((^y.y)(x x)))) 5. ==[ beta ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 28805/1665618. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(c (^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(c (^x1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 28806/1665744. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.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. ------ 28807/1666509. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 28808/1666863. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (^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. ------ 28809/1667007. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.a)(^z.((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)(^y.((^z.z)(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 28810/1667076. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(c (^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(c (^z.a))) 3. ==[ beta ]==> (^y.((c (^z.a))(c (^z.a)))) 4. ==[ alpha ]==> (^x.((c (^y.a))(c (^z.a)))) REDUCED to normal form. ------ 28811/1667283. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z) a) b)) 3. ==[ beta ]==> ((^y.y)((((^z.z) a) b)(((^z.z) a) b))) 4. ==[ alpha ]==> ((^x.x)((((^y.y) a) b)(((^z.z) a) b))) 5. ==[ beta ]==> ((((^y.y) a) b)(((^z.z) a) b)) 6. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y) a) b)) 7. ==[ beta ]==> ((a b)(((^y.y) a) b)) 8. ==[ alpha ]==> ((a b)(((^x.x) a) b)) 9. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 28812/1667457. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 28813/1667538. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^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. ------ 28814/1667628. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> ((((^x.x)(^y.y))(^z.(z z)))(^y1.y1)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.x1)) 5. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.x1)) 6. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.z)) 7. ==[ beta ]==> ((^y.(y y))(^z.z)) 8. ==[ alpha ]==> ((^x.(x x))(^y.y)) 9. ==[ beta ]==> ((^y.y)(^y.y)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 28815/1667682. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 28816/1667853. ------ 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. ------ 28817/1667898. ------ 1. ==[ start ]==> (((^a.b) c)(^a.b)) 2. ==[ alpha ]==> (((^x.b) c)(^y.b)) 3. ==[ beta ]==> (b (^y.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 28818/1667907. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^c.a)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.a)) REDUCED to normal form. ------ 28819/1667934. ------ 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. ------ 28820/1667957. ------ 1. ==[ start ]==> (^a.(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (^x.(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 28821/1667958. ------ 1. ==[ start ]==> (a (^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (a (^x.((x x)(^y.y)))) REDUCED to normal form. ------ 28822/1667982. ------ 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. ------ 28823/1667991. ------ 1. ==[ start ]==> ((a (a a))((^b.(a a)) b)) 2. ==[ alpha ]==> ((a (a a))((^x.(a a)) b)) 3. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 28824/1668009. ------ 1. ==[ start ]==> (((a a) a)((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a) a)((a b)(a (^x.x)))) REDUCED to normal form. ------ 28825/1668018. ------ 1. ==[ start ]==> ((a b)((^a.b) c)) 2. ==[ alpha ]==> ((a b)((^x.b) c)) 3. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 28826/1668036. ------ 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. ------ 28827/1668063. ------ 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 ((^y.y)(a (a a)))) 6. ==[ alpha ]==> (b ((^x.x)(a (a a)))) 7. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 28828/1668090. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 28829/1668117. ------ 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. ------ 28830/1668144. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))(a b))) REDUCED to normal form. ------ 28831/1668162. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(b (^z.(a a)))) 3. ==[ beta ]==> ((a (^y.y))(b (^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(b (^y.(a a)))) REDUCED to normal form. ------ 28832/1668171. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 28833/1668216. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(a a))(a a))) 3. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 28834/1668234. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 28835/1668261. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((a a) a)(^y.a))) REDUCED to normal form. ------ 28836/1668288. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) 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)))) 7. ==[ beta ]==> ((a a)(^y.(y y))) 8. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 28837/1668297. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(^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. ------ 28838/1668324. ------ 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))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.z))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^y.y)(^z.z))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 11. ==[ beta ]==> ((^y.y)(^z.z)) 12. ==[ alpha ]==> ((^x.x)(^y.y)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 28839/1668378. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(^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. ------ 28840/1668405. ------ 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)((^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. ------ 28841/1668459. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 28842/1668567. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((^y.(y y))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.a)(^z.a))) 5. ==[ beta ]==> (((^y.a)(^z.a))((^y.a)(^z.a))) 6. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a)(^x1.a))) 7. ==[ beta ]==> (a ((^z.a)(^x1.a))) 8. ==[ alpha ]==> (a ((^x.a)(^y.a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 28843/1668594. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 28844/1668630. ------ 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. ------ 28845/1668657. ------ 1. ==[ start ]==> (((a (a a)) a)((a b)(a a))) REDUCED to normal form. ------ 28846/1668684. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 28847/1668711. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.x1) a)) 6. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z) a)) 7. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 28848/1668738. ------ 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. ------ 28849/1668765. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(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. ------ 28850/1668783. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(c (^c.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(c (^z.a))) REDUCED to normal form. ------ 28851/1668855. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a b)(^z.z))) 3. ==[ beta ]==> ((a (a (^y.y)))((a b)(^z.z))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a b)(^y.y))) REDUCED to normal form. ------ 28852/1668882. ------ 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. ------ 28853/1668909. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.a))) 7. ==[ beta ]==> ((a (^x.x))(^z.a)) 8. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 28854/1668918. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.(^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. ------ 28855/1668945. ------ 1. ==[ start ]==> (((^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 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. ------ 28856/1668999. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))((a a) a))) 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. ------ 28857/1669053. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(^x1.x1))) 5. ==[ beta ]==> ((^y.y)((^z.b)(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(^z.z))) 7. ==[ beta ]==> ((^y.b)(^z.z)) 8. ==[ alpha ]==> ((^x.b)(^y.y)) 9. ==[ beta ]==> b REDUCED to normal form. ------ 28858/1669134. ------ 1. ==[ start ]==> (((^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 x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.(x1 x1))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 28859/1669233. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.b) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.b) a)) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) b) REDUCED to normal form. ------ 28860/1669287. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 28861/1669377. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 28862/1669431. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.a)(a a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.a)(a a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a)(a a))) 5. ==[ beta ]==> (a ((^z.a)(a a))) 6. ==[ alpha ]==> (a ((^x.a)(a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 28863/1669512. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a a) a)((^y.a)(a (a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.a)(a (a a)))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 28864/1669539. ------ 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.x2)(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 28865/1669674. ------ 1. ==[ start ]==> ((a (^a.b))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 28866/1669773. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a (a a)) a)((^y.(^z.z)) b)) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y)) b)) 5. ==[ beta ]==> (((a (a a)) a)(^y.y)) 6. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 28867/1669845. ------ 1. ==[ start ]==> (((^a.b) a)((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b) a)((a (^y.y))(a (a a)))) 3. ==[ beta ]==> (b ((a (^y.y))(a (a a)))) 4. ==[ alpha ]==> (b ((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 28868/1669863. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.b)(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)(b (^y.(^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 28869/1669944. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))(a (^x1.x1)))) IRREDUCIBLE: cycle. ------ 28870/1670025. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((^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. ------ 28871/1670052. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.(^a.a))(^a.a))) 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. ------ 28872/1670079. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(z z))(^x1.(^y1.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. ------ 28873/1670115. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(c ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(c ((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(c ((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(c ((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(c a)) REDUCED to normal form. ------ 28874/1670133. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))(^z.(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. ------ 28875/1670142. ------ 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. ------ 28876/1670169. ------ 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 REDUCED to normal form. ------ 28877/1670196. ------ 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. ------ 28878/1670223. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> (((a b)(^x.x))(a (a (^z.z)))) 4. ==[ alpha ]==> (((a b)(^x.x))(a (a (^y.y)))) REDUCED to normal form. ------ 28879/1670241. ------ 1. ==[ start ]==> ((a (^b.(a a)))(c (^b.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(c (^y.a))) REDUCED to normal form. ------ 28880/1670313. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a (a a))(^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 (^y.y))((a (a a))(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 28881/1670340. ------ 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. ------ 28882/1670367. ------ 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. ------ 28883/1670394. ------ 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)))) REDUCED to normal form. ------ 28884/1670421. ------ 1. ==[ start ]==> (((a b)(a a))((a (a a)) a)) REDUCED to normal form. ------ 28885/1670448. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) a) b)) 3. ==[ beta ]==> ((a (a a))(((^y.y) a) b)) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a) b)) 5. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 28886/1670457. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.a)(^a.(^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. ------ 28887/1670484. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(^a.a))(^b.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. ------ 28888/1670619. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> (b (a (^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (a (^x.(x x)))) REDUCED to normal form. ------ 28889/1670673. ------ 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)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 28890/1670682. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(b c)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(b c)) REDUCED to normal form. ------ 28891/1670700. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((^y.y)((^z.z) a)) 6. ==[ alpha ]==> ((^x.x)((^y.y) a)) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 28892/1670754. ------ 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.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.z1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 28893/1670763. ------ 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. ------ 28894/1670790. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(a ((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(a ((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a ((^z.z) a))) 5. ==[ beta ]==> ((^y.(y y))(a ((^z.z) a))) 6. ==[ alpha ]==> ((^x.(x x))(a ((^y.y) a))) 7. ==[ beta ]==> ((a ((^y.y) a))(a ((^y.y) 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. ------ 28895/1670817. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a (^y.y))(a a))) REDUCED to normal form. ------ 28896/1670835. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 28897/1670844. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(a (^z.z)))) REDUCED to normal form. ------ 28898/1670907. ------ 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)))) 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. ------ 28899/1670934. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (^y.y)) a)) REDUCED to normal form. ------ 28900/1670961. ------ 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. ------ 28901/1670988. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a (a a))(^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. ------ 28902/1671015. ------ 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. ------ 28903/1671042. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a a)(^y.y))) 3. ==[ beta ]==> ((((a a) a) a)((a a)(^y.y))) 4. ==[ alpha ]==> ((((a a) a) a)((a a)(^x.x))) REDUCED to normal form. ------ 28904/1671060. ------ 1. ==[ start ]==> (((^a.b) c)(a b)) 2. ==[ alpha ]==> (((^x.b) c)(a b)) 3. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 28905/1671069. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a a) a)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a a) a)) REDUCED to normal form. ------ 28906/1671096. ------ 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. ------ 28907/1671120. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a))) a) 2. ==[ alpha ]==> ((^x.((x x)(^y.y))) a) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 28908/1671122. ------ 1. ==[ start ]==> (^a.(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (^x.(x ((x x)(^y.y)))) REDUCED to normal form. ------ 28909/1671123. ------ 1. ==[ start ]==> (a (a ((a a)(^a.a)))) 2. ==[ alpha ]==> (a (a ((a a)(^x.x)))) REDUCED to normal form. ------ 28910/1671126. ------ 1. ==[ start ]==> ((^a.a)(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.x)(^y.((y y)(^z.z)))) 3. ==[ beta ]==> (^y.((y y)(^z.z))) 4. ==[ alpha ]==> (^x.((x x)(^y.y))) REDUCED to normal form. ------ 28911/1674285. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^a.a)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.z)) 3. ==[ beta ]==> (((^z.z)(^z.z))(^y.y)) 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. ------ 28912/1674288. ------ 1. ==[ start ]==> ((a ((a a)(^a.a))) a) 2. ==[ alpha ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 28913/1674294. ------ 1. ==[ start ]==> ((^a.a)(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.x)(a ((a a)(^y.y)))) 3. ==[ beta ]==> (a ((a a)(^y.y))) 4. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 28914/1674297. ------ 1. ==[ start ]==> ((a a)(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a a)(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 28915/1674321. ------ 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. ------ 28916/1674348. ------ 1. ==[ start ]==> ((^a.b)((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.b)((a b)(a (^y.y)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 28917/1674429. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))((^z.z)(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(^z.z)) 5. ==[ beta ]==> (((a (a a))(^y.y))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 28918/1674546. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^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 ]==> (^x.((a a)(^z.z))) 6. ==[ alpha ]==> (^x.((a a)(^y.y))) REDUCED to normal form. ------ 28919/1674747. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(a a))) REDUCED to normal form. ------ 28920/1674789. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a b) b)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a b) b)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 28921/1674963. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^b.(^b.(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. ------ 28922/1675368. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.(a z))) 3. ==[ eta ]==> ((((^x.x)(^y.y)) a) a) 4. ==[ beta ]==> (((^y.y) a) a) 5. ==[ alpha ]==> (((^x.x) a) a) 6. ==[ beta ]==> (a a) REDUCED to normal form. ------ 28923/1675566. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^a.(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(y b))) REDUCED to normal form. ------ 28924/1675671. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> (((((^y.y) a)(a (a a)))(((^y.y) a)(a (a a))))(((^y.y) a)(a (a a)))) 4. ==[ alpha ]==> (((((^x.x) a)(a (a a)))(((^y.y) a)(a (a a))))(((^z.z) a)(a (a a)))) 5. ==[ beta ]==> (((a (a (a a)))(((^y.y) a)(a (a a))))(((^z.z) a)(a (a a)))) 6. ==[ alpha ]==> (((a (a (a a)))(((^x.x) a)(a (a a))))(((^y.y) a)(a (a a)))) 7. ==[ beta ]==> (((a (a (a a)))(a (a (a a))))(((^y.y) a)(a (a a)))) 8. ==[ alpha ]==> (((a (a (a a)))(a (a (a a))))(((^x.x) a)(a (a a)))) 9. ==[ beta ]==> (((a (a (a a)))(a (a (a a))))(a (a (a a)))) REDUCED to normal form. ------ 28925/1675908. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.((a a) a))) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.((a a) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.((a a) a))) REDUCED to normal form. ------ 28926/1676079. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(^y.((y y) y))) 3. ==[ beta ]==> ((a (a (a a)))(^y.((y y) y))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.((x x) x))) REDUCED to normal form. ------ 28927/1676184. ------ 1. ==[ start ]==> ((^a.(a b))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(x b))((a (^y.y))(a (a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (a a))) b) 4. ==[ alpha ]==> (((a (^x.x))(a (a a))) b) REDUCED to normal form. ------ 28928/1676358. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 28929/1676367. ------ 1. ==[ start ]==> (((a b) a)(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b) a)(^x.(^z.z))) 4. ==[ alpha ]==> (((a b) a)(^x.(^y.y))) REDUCED to normal form. ------ 28930/1676502. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^b.(^b.(^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. ------ 28931/1676571. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.a) c)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.a) c)) 3. ==[ beta ]==> (^y.(((^z.a) c)((^z.a) c))) 4. ==[ alpha ]==> (^x.(((^y.a) c)((^z.a) c))) 5. ==[ beta ]==> (^x.(a ((^z.a) c))) 6. ==[ alpha ]==> (^x.(a ((^y.a) c))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 28932/1676745. ------ 1. ==[ start ]==> (((^a.b) b)(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(a (a a)))) 3. ==[ beta ]==> (b (^y.(a (a a)))) 4. ==[ alpha ]==> (b (^x.(a (a a)))) REDUCED to normal form. ------ 28933/1676961. ------ 1. ==[ start ]==> (((a b) b)(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a b) b)(^x.(^y.(y y)))) REDUCED to normal form. ------ 28934/1677033. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^c.(^b.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. ------ 28935/1677042. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^z.a)) REDUCED to normal form. ------ 28936/1677123. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(^x1.a))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.a))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.a))) 7. ==[ beta ]==> ((^y.(^z.a))(^y.(^z.a))) 8. ==[ alpha ]==> ((^x.(^y.a))(^z.(^x1.a))) 9. ==[ beta ]==> (^y.a) 10. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 28937/1677204. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.(^x1.z))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.z))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 28938/1677267. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^a.c)) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.c)) REDUCED to normal form. ------ 28939/1677321. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(y (^z.z)))) REDUCED to normal form. ------ 28940/1677393. ------ 1. ==[ start ]==> (((^a.b) c)(^b.(a a))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(a a))) 3. ==[ beta ]==> (b (^y.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 28941/1677402. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^a.b)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.b)) REDUCED to normal form. ------ 28942/1677429. ------ 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. ------ 28943/1677453. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(a a)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(a a)) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 28944/1677456. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^a.a)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 28945/1677461. ------ 1. ==[ start ]==> (^a.(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 28946/1677462. ------ 1. ==[ start ]==> (a (^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 28947/1677468. ------ 1. ==[ start ]==> ((a a)(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a a)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 28948/1677495. ------ 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. ------ 28949/1677504. ------ 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. ------ 28950/1677522. ------ 1. ==[ start ]==> ((a b)((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((a b)((a b)(a (^x.x)))) REDUCED to normal form. ------ 28951/1677531. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.b) c)) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.b) c)) 3. ==[ beta ]==> ((a a)((^y.b) c)) 4. ==[ alpha ]==> ((a a)((^x.b) c)) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 28952/1677576. ------ 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))((^y.y)(a (a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(a (a a)))) 5. ==[ beta ]==> (((a a)(a a))(a (a a))) REDUCED to normal form. ------ 28953/1677603. ------ 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. ------ 28954/1677675. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.(a a)))) REDUCED to normal form. ------ 28955/1677720. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> ((a (^x.a))((a a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.a))((a a)(^y.y))) REDUCED to normal form. ------ 28956/1677756. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)(a (^x1.x1)))) 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. ------ 28957/1677801. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 28958/1677828. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (a a))(^b.(^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. ------ 28959/1677837. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x)) b)((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a (^x.x)) b)((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(^z.z))) 9. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 10. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 28960/1677864. ------ 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))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 28961/1677882. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> (((^y.y) a)((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> (((^x.x) a)((a (^y.y))(^z.b))) 5. ==[ beta ]==> (a ((a (^y.y))(^z.b))) 6. ==[ alpha ]==> (a ((a (^x.x))(^y.b))) REDUCED to normal form. ------ 28962/1677891. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 28963/1677909. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((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. ------ 28964/1677918. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(a a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 28965/1677945. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.z))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 28966/1677963. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a b) b)) 2. ==[ alpha ]==> ((a (^x.(x x)))((a b) b)) REDUCED to normal form. ------ 28967/1678053. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^y.(^z.z)))) 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. ------ 28968/1678134. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.a)(^b.(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. ------ 28969/1678152. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(a a)) a)) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(a a)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a)) a)) 5. ==[ beta ]==> ((^y.y)((^z.(a a)) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(a a)) a)) 7. ==[ beta ]==> ((^y.(a a)) a) 8. ==[ alpha ]==> ((^x.(a a)) a) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 28970/1678179. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.b) b)) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.b) b)) 3. ==[ beta ]==> ((a (a a))((^y.b) b)) 4. ==[ alpha ]==> ((a (a a))((^x.b) b)) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 28971/1678305. ------ 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. ------ 28972/1678332. ------ 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 (^x.x)) a)((a a)(a b))) REDUCED to normal form. ------ 28973/1678377. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.b)(a a))) 3. ==[ beta ]==> ((b b)((^y.b)(a a))) 4. ==[ alpha ]==> ((b b)((^x.b)(a a))) 5. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 28974/1678422. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^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. ------ 28975/1678449. ------ 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.(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. ------ 28976/1678512. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(^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. ------ 28977/1678539. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.z)(a b))) 3. ==[ beta ]==> (((^y.y) a)((^z.z)(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))) 7. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 28978/1678557. ------ 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. ------ 28979/1678566. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 28980/1678584. ------ 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) b)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) b)) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 28981/1678620. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.(^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. ------ 28982/1678647. ------ 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. ------ 28983/1678674. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.a)(^b.(^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))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 28984/1678710. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(b ((a a) a))) 3. ==[ beta ]==> (((a a)(^y.y))(b ((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.x))(b ((a a) a))) REDUCED to normal form. ------ 28985/1678737. ------ 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. ------ 28986/1678764. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^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))) 5. ==[ beta ]==> ((a a)(((a a) a)(a a))) REDUCED to normal form. ------ 28987/1678791. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> (((a (a a))(a (^x.x)))(a (^z.z))) 6. ==[ alpha ]==> (((a (a a))(a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 28988/1678818. ------ 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))) 7. ==[ beta ]==> ((a a)((a (a a)) a)) REDUCED to normal form. ------ 28989/1678845. ------ 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. ------ 28990/1678935. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((a a) a)(^z.z))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((a a) a)(^z.z))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((a a) a)(^z.z))) 5. ==[ beta ]==> (a (((a a) a)(^z.z))) 6. ==[ alpha ]==> (a (((a a) a)(^x.x))) REDUCED to normal form. ------ 28991/1678971. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.(^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. ------ 28992/1678998. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(x x))((^y.y) a))) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y) a)((^y.y) a))) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x) 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. ------ 28993/1679016. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> (((a a) a)(a (^y.(y y)))) 6. ==[ alpha ]==> (((a a) a)(a (^x.(x x)))) REDUCED to normal form. ------ 28994/1679043. ------ 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 (^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. ------ 28995/1679052. ------ 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.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. ------ 28996/1679079. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.z)((a a) a))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.z)((a a) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)((a a) a))) 5. ==[ beta ]==> ((a (^x.(x x)))((a a) a)) REDUCED to normal form. ------ 28997/1679097. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((a a) a) a)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) 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. ------ 28998/1679106. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 28999/1679133. ------ 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.(^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. ------ 29000/1679160. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((^z.a)(^z.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a)(^z.a))) 5. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 29001/1679223. ------ 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.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(b ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(b ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(b (^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (^z.z))) REDUCED to normal form. ------ 29002/1679250. ------ 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. ------ 29003/1679277. ------ 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)) 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. ------ 29004/1679304. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a (a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (a a))(a (^z.z)))) 5. ==[ beta ]==> ((a (^y.y))((a (a a))(a (^z.z)))) 6. ==[ alpha ]==> ((a (^x.x))((a (a a))(a (^y.y)))) REDUCED to normal form. ------ 29005/1679331. ------ 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))(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. ------ 29006/1679349. ------ 1. ==[ start ]==> (((^a.b) a)(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)(c (^y.(y y)))) 3. ==[ beta ]==> (b (c (^y.(y y)))) 4. ==[ alpha ]==> (b (c (^x.(x x)))) REDUCED to normal form. ------ 29007/1679358. ------ 1. ==[ start ]==> ((a (a b))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (a b))((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 29008/1679448. ------ 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. ------ 29009/1679511. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(^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. ------ 29010/1679529. ------ 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 ((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 29011/1679538. ------ 1. ==[ start ]==> (((a b) a)((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((^x.x)((^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. ------ 29012/1679556. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> ((a b)(((^y.y)(^z.z)) a)) 4. ==[ alpha ]==> ((a b)(((^x.x)(^y.y)) a)) 5. ==[ beta ]==> ((a b)((^y.y) a)) 6. ==[ alpha ]==> ((a b)((^x.x) a)) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 29013/1679565. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 29014/1679583. ------ 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)) b)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) b)) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 29015/1679619. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.a)(^b.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. ------ 29016/1679646. ------ 1. ==[ start ]==> (((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 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. ------ 29017/1679673. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.a)(^b.(^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. ------ 29018/1679718. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.b)(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. ------ 29019/1679745. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.a) c)) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.a) c)) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 29020/1679763. ------ 1. ==[ start ]==> (((a a)(a b))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a b))((a (^x.x))((^y.y) a))) 3. ==[ beta ]==> (((a a)(a b))((a (^x.x)) a)) REDUCED to normal form. ------ 29021/1679790. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a a)(a (a a)))) REDUCED to normal form. ------ 29022/1679916. ------ 1. ==[ start ]==> (((^a.b) b)((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.y)(a (a a)))) 3. ==[ beta ]==> (b ((^y.y)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.x)(a (a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 29023/1679961. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z) a) b)) 3. ==[ beta ]==> ((^y.(a a))(((^z.z) a) b)) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y) a) b)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 29024/1679988. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((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. ------ 29025/1680042. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1)) a)) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1)) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(y y)) a)) 7. ==[ beta ]==> ((^y.(y y)) a) 8. ==[ alpha ]==> ((^x.(x x)) a) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 29026/1680132. ------ 1. ==[ start ]==> (((a b) b)(a (^a.(a a)))) 2. ==[ alpha ]==> (((a b) b)(a (^x.(x x)))) REDUCED to normal form. ------ 29027/1680159. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.a)(a a))) 3. ==[ beta ]==> (((a a) a)((^y.a)(a a))) 4. ==[ alpha ]==> (((a a) a)((^x.a)(a a))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 29028/1680177. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)((a (^y.y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 29029/1680186. ------ 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)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 29030/1680204. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((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. ------ 29031/1680213. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((^x1.x1) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z) a)) 5. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 29032/1680258. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a (^x1.x1)) b)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a (^x1.x1)) b)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1)) b)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.y1)) b)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1)) b)) 7. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1)) b)) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z)) b)) 9. ==[ beta ]==> ((^y.y)((a (^z.z)) b)) 10. ==[ alpha ]==> ((^x.x)((a (^y.y)) b)) 11. ==[ beta ]==> ((a (^y.y)) b) 12. ==[ alpha ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 29033/1680267. ------ 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))(^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. ------ 29034/1680294. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(^x1.a))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.a))) 7. ==[ beta ]==> (((^y.y)(^z.a))((^y.y)(^z.a))) 8. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)(^x1.a))) 9. ==[ beta ]==> ((^y.a)((^z.z)(^x1.a))) 10. ==[ alpha ]==> ((^x.a)((^y.y)(^z.a))) 11. ==[ beta ]==> a REDUCED to normal form. ------ 29035/1680321. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(c (^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(c (^y.y))) REDUCED to normal form. ------ 29036/1680339. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(^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. ------ 29037/1680348. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 29038/1680375. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(a (^z.a))) 3. ==[ beta ]==> (((a a)(^y.y))(a (^z.a))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.a))) REDUCED to normal form. ------ 29039/1680411. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(b b)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(b b)) 3. ==[ beta ]==> (((a a)(a a))(b b)) REDUCED to normal form. ------ 29040/1680438. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(a c)) 2. ==[ alpha ]==> (((a (^x.x))(a b))(a c)) REDUCED to normal form. ------ 29041/1680465. ------ 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. ------ 29042/1680492. ------ 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))(^y.y))(a (a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(a (a (^y.y)))) REDUCED to normal form. ------ 29043/1680519. ------ 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. ------ 29044/1680546. ------ 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. ------ 29045/1680564. ------ 1. ==[ start ]==> (((^a.b) c)((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.b) c)((^y.y)(a a))) 3. ==[ beta ]==> (b ((^y.y)(a a))) 4. ==[ alpha ]==> (b ((^x.x)(a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 29046/1680573. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(a b)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(a b)) REDUCED to normal form. ------ 29047/1680600. ------ 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. ------ 29048/1680624. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a))) b) 2. ==[ alpha ]==> ((^x.((x x)(^y.y))) b) 3. ==[ beta ]==> ((b b)(^y.y)) 4. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 29049/1680627. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(a a)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 29050/1680639. ------ 1. ==[ start ]==> ((^a.a)(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 29051/1680648. ------ 1. ==[ start ]==> ((^a.(^a.a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 29052/1683798. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (((^z.(^x1.x1))(^z.(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.y1)) 5. ==[ beta ]==> ((^y.y)(^y1.y1)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 29053/1683801. ------ 1. ==[ start ]==> ((a ((a a)(^a.a))) b) 2. ==[ alpha ]==> ((a ((a a)(^x.x))) b) REDUCED to normal form. ------ 29054/1683819. ------ 1. ==[ start ]==> ((a a)(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 29055/1683825. ------ 1. ==[ start ]==> ((^a.(^a.a))(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. ------ 29056/1683828. ------ 1. ==[ start ]==> ((a (^a.a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 29057/1683906. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a) a)((^x1.x1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 29058/1684410. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))(^z.(^x1.x1)))(((^y.(y y))(^z.(^x1.x1)))((^y.(y y))(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.(x1 x1))(^y1.(^z1.z1)))((^x2.(x2 x2))(^y2.(^z2.z2))))) 5. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.(x1 x1))(^y1.(^z1.z1)))((^x2.(x2 x2))(^y2.(^z2.z2))))) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.(y1 y1))(^z1.(^x2.x2)))((^y2.(y2 y2))(^z2.(^x3.x3))))) 7. ==[ beta ]==> ((^y.y)(((^y1.(y1 y1))(^z1.(^x2.x2)))((^y2.(y2 y2))(^z2.(^x3.x3))))) 8. ==[ alpha ]==> ((^x.x)(((^y.(y y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2))))) 9. ==[ beta ]==> (((^y.(y y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 10. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 11. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 12. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 13. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.(^x2.x2)))) 14. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 15. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 16. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 17. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 18. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 19. ==[ beta ]==> (^y.y) 20. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 29059/1684503. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((^x1.x1)(z z)))) 5. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(z z)))) 6. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(y y)))) 7. ==[ beta ]==> (^y.((^z.z)(y y))) 8. ==[ alpha ]==> (^x.((^y.y)(x x))) 9. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 29060/1684635. ------ 1. ==[ start ]==> ((^a.(^b.(^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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 29061/1684710. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.(^x1.(z z)))) 3. ==[ beta ]==> ((a (a (^y.y)))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.(y y)))) REDUCED to normal form. ------ 29062/1685088. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(^z.y))) REDUCED to normal form. ------ 29063/1685601. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^b.(^c.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. ------ 29064/1685706. ------ 1. ==[ start ]==> ((^a.(a b))(c (^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))(c (^y.(y y)))) 3. ==[ beta ]==> ((c (^y.(y y))) b) 4. ==[ alpha ]==> ((c (^x.(x x))) b) REDUCED to normal form. ------ 29065/1685889. ------ 1. ==[ start ]==> (((a b) a)(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 29066/1686093. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> (^y.((((^z.z) a)(a (^x1.x1)))(((^z.z) a)(a (^x1.x1))))) 4. ==[ alpha ]==> (^x.((((^y.y) a)(a (^z.z)))(((^x1.x1) a)(a (^y1.y1))))) 5. ==[ beta ]==> (^x.((a (a (^z.z)))(((^x1.x1) a)(a (^y1.y1))))) 6. ==[ alpha ]==> (^x.((a (a (^y.y)))(((^z.z) a)(a (^x1.x1))))) 7. ==[ beta ]==> (^x.((a (a (^y.y)))(a (a (^x1.x1))))) 8. ==[ alpha ]==> (^x.((a (a (^y.y)))(a (a (^z.z))))) REDUCED to normal form. ------ 29067/1686168. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 29068/1686267. ------ 1. ==[ start ]==> (((^a.b) b)(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(^z.(z z)))) 3. ==[ beta ]==> (b (^y.(^z.(z z)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 29069/1686276. ------ 1. ==[ start ]==> (((a b)(a a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(a (a a)))) REDUCED to normal form. ------ 29070/1686300. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(((^z.(z z))(^x1.x1))((^z.(z z))(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.(y y))(^z.z))((^x1.(x1 x1))(^y1.y1)))) 5. ==[ beta ]==> (((^y.(y y))(^z.z))((^x1.(x1 x1))(^y1.y1))) 6. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(z z))(^x1.x1))) 7. ==[ beta ]==> (((^y.y)(^y.y))((^z.(z z))(^x1.x1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.x1))) 9. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 11. ==[ beta ]==> ((^y.(y y))(^z.z)) 12. ==[ alpha ]==> ((^x.(x x))(^y.y)) 13. ==[ beta ]==> ((^y.y)(^y.y)) 14. ==[ alpha ]==> ((^x.x)(^y.y)) 15. ==[ beta ]==> (^y.y) 16. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 29071/1686393. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(x1 (x1 x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(y1 (y1 y1)))) 5. ==[ beta ]==> ((^y.y)(^y1.(y1 (y1 y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(y (y y)))) 7. ==[ beta ]==> (^y.(y (y y))) 8. ==[ alpha ]==> (^x.(x (x x))) REDUCED to normal form. ------ 29072/1686474. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> (b (^x1.((^y1.y1) a))) 4. ==[ alpha ]==> (b (^x.((^y.y) a))) 5. ==[ beta ]==> (b (^x.a)) REDUCED to normal form. ------ 29073/1686564. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^c.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.a))) REDUCED to normal form. ------ 29074/1686726. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^b.c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.c)) 3. ==[ beta ]==> (((a a)(^y.y))(^z.c)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.c)) REDUCED to normal form. ------ 29075/1686789. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(a (^z.z)))) REDUCED to normal form. ------ 29076/1686843. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 29077/1686897. ------ 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. ------ 29078/1686915. ------ 1. ==[ start ]==> (((^a.b) c)(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(^z.z))) 3. ==[ beta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 29079/1686924. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(a a))) REDUCED to normal form. ------ 29080/1686951. ------ 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. ------ 29081/1686975. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(a (^z.z))) 3. ==[ beta ]==> (((a (^z.z))(a (^z.z)))(^y.y)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 29082/1686978. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 29083/1687008. ------ 1. ==[ start ]==> ((a (^a.a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 29084/1687035. ------ 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. ------ 29085/1687044. ------ 1. ==[ start ]==> (((a a) a)((^b.(a a)) b)) 2. ==[ alpha ]==> (((a a) a)((^x.(a a)) b)) 3. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 29086/1687062. ------ 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. ------ 29087/1687071. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.b) c)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.b) c)) 3. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 29088/1687089. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(((a a) a) a)) REDUCED to normal form. ------ 29089/1687098. ------ 1. ==[ start ]==> (((^a.a) b)((^c.a) d)) 2. ==[ alpha ]==> (((^x.x) b)((^y.a) d)) 3. ==[ beta ]==> (b ((^y.a) d)) 4. ==[ alpha ]==> (b ((^x.a) d)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 29090/1687143. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 29091/1687170. ------ 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. ------ 29092/1687197. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.z))(a b))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(a b))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a b))) REDUCED to normal form. ------ 29093/1687224. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)((^y.y)(a a))) 6. ==[ alpha ]==> ((a a)((^x.x)(a a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 29094/1687269. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(a a))(a a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 29095/1687287. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 29096/1687296. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 29097/1687368. ------ 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. ------ 29098/1687422. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 29099/1687449. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^x1.(a a)))) REDUCED to normal form. ------ 29100/1687476. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z)(a a)) a)) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a)) a)) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a)) a)) 5. ==[ beta ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 29101/1687512. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 29102/1687566. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 29103/1687593. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(^z.z))(^y.(^z.z)))) 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. ------ 29104/1687629. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(c ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 29105/1687683. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a ((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.y)(a ((^z.z)(a a)))) 6. ==[ alpha ]==> ((^x.x)(a ((^y.y)(a a)))) 7. ==[ beta ]==> (a ((^y.y)(a a))) 8. ==[ alpha ]==> (a ((^x.x)(a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 29106/1687692. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(a a)) a)) 3. ==[ beta ]==> (((a (a a)) a)(a a)) REDUCED to normal form. ------ 29107/1687710. ------ 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. ------ 29108/1687719. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.b) b)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.b) b)) 3. ==[ beta ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 29109/1687737. ------ 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 (^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. ------ 29110/1687746. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.a) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 29111/1687791. ------ 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. ------ 29112/1687818. ------ 1. ==[ start ]==> ((a (^b.(^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)))(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. ------ 29113/1687863. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(b (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(b (^z.b))) 3. ==[ beta ]==> (((a (^x.x)) a)(b (^z.b))) 4. ==[ alpha ]==> (((a (^x.x)) a)(b (^y.b))) REDUCED to normal form. ------ 29114/1687890. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(a (^z.(a a)))) 3. ==[ beta ]==> ((a (a (^y.y)))(a (^z.(a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.(a a)))) REDUCED to normal form. ------ 29115/1687908. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a b)(^y.y))) 3. ==[ beta ]==> ((b b)((a b)(^y.y))) 4. ==[ alpha ]==> ((b b)((a b)(^x.x))) REDUCED to normal form. ------ 29116/1687917. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.b)(a a))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.b)(a a))) 3. ==[ beta ]==> (((a (a a))(a a)) b) REDUCED to normal form. ------ 29117/1688043. ------ 1. ==[ start ]==> (((a (a a)) b)((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (a a)) b)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 29118/1688070. ------ 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. ------ 29119/1688097. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a b) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b) a)) REDUCED to normal form. ------ 29120/1688124. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((a a) a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((a a) a) b)) REDUCED to normal form. ------ 29121/1688151. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> ((a (^y.a))(((^z.z)(^x1.x1)) c)) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z)) c)) 5. ==[ beta ]==> ((a (^x.a))((^z.z) c)) 6. ==[ alpha ]==> ((a (^x.a))((^y.y) c)) 7. ==[ beta ]==> ((a (^x.a)) c) REDUCED to normal form. ------ 29122/1688268. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)(^z.b))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.b)) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.b)) REDUCED to normal form. ------ 29123/1688412. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))((^z1.z1)(^x2.x2)))) 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. ------ 29124/1688502. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 8. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 9. ==[ beta ]==> (b (^y.(^z.z))) 10. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 29125/1688529. ------ 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. ------ 29126/1688583. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 29127/1688637. ------ 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. ------ 29128/1688664. ------ 1. ==[ start ]==> ((((^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)) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1)) b)) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1)) b)) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1)) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 29129/1688727. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.a)(^y.(y y)))) 3. ==[ beta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 29130/1688754. ------ 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.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 29131/1688889. ------ 1. ==[ start ]==> ((a (a b))(c (^a.(a a)))) 2. ==[ alpha ]==> ((a (a b))(c (^x.(x x)))) REDUCED to normal form. ------ 29132/1688898. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> ((^y.b)((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> ((^x.b)((a (^y.y))(a (a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 29133/1689042. ------ 1. ==[ start ]==> ((((a a) a) b)((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 29134/1689069. ------ 1. ==[ start ]==> (((a b) a)((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 29135/1689096. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> (((a a)(^x.b))((^z.z) a)) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.y) a)) 5. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 29136/1689150. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a) a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a) c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a) c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a) c)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a c)) REDUCED to normal form. ------ 29137/1689231. ------ 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. ------ 29138/1689249. ------ 1. ==[ start ]==> (((^a.b)(a a))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.b)(a a))((a (a a))(a a))) 3. ==[ beta ]==> (b ((a (a a))(a a))) REDUCED to normal form. ------ 29139/1689258. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(y y)) b)) 3. ==[ beta ]==> (((a b)(^x.x))(b b)) REDUCED to normal form. ------ 29140/1689276. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.(a a)))(a (a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(a (a (^y.y)))) REDUCED to normal form. ------ 29141/1689294. ------ 1. ==[ start ]==> (((a a)(a b))(c (^b.a))) 2. ==[ alpha ]==> (((a a)(a b))(c (^x.a))) REDUCED to normal form. ------ 29142/1689321. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(b (^y.(y y)))) REDUCED to normal form. ------ 29143/1689348. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 29144/1689375. ------ 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. ------ 29145/1689402. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.a)(a (^x1.x1)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.a)(a (^z.z)))) 7. ==[ beta ]==> (a ((^y.a)(a (^z.z)))) 8. ==[ alpha ]==> (a ((^x.a)(a (^y.y)))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 29146/1689429. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 29147/1689447. ------ 1. ==[ start ]==> (((^a.b) b)((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 29148/1689456. ------ 1. ==[ start ]==> (((a b)(a a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.x)(a (a a)))) 3. ==[ beta ]==> (((a b)(a a))(a (a a))) REDUCED to normal form. ------ 29149/1689483. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))(^z.z))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.y))) 5. ==[ beta ]==> ((a (a a))((^y.y)(^y.y))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(^y.y))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 29150/1689519. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(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. ------ 29151/1689573. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a (a (a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a (a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(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. ------ 29152/1689654. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a)((^x1.x1) a))) 3. ==[ beta ]==> (b ((a a)((^x1.x1) a))) 4. ==[ alpha ]==> (b ((a a)((^x.x) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 29153/1689690. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)(^z.z))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a)(^y.y))) 5. ==[ beta ]==> (((a a) a)(a (^y.y))) 6. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 29154/1689717. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 29155/1689735. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(b c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(b c)) 3. ==[ beta ]==> ((^y.y)(b c)) 4. ==[ alpha ]==> ((^x.x)(b c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 29156/1689744. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a a)(^z.a))) REDUCED to normal form. ------ 29157/1689798. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.z)) b)) REDUCED to normal form. ------ 29158/1689852. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.a) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.a) a)) 3. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 29159/1689870. ------ 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 ((a (^z.z))(a a))) 4. ==[ alpha ]==> (b ((a (^x.x))(a a))) REDUCED to normal form. ------ 29160/1689879. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 29161/1689942. ------ 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))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 29162/1689969. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(a (^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a b))(a (^y.y))) REDUCED to normal form. ------ 29163/1689996. ------ 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. ------ 29164/1690023. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 29165/1690050. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(b (^z.z))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(b (^z.z))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(b (^y.y))) 5. ==[ beta ]==> ((a (a a))(b (^y.y))) 6. ==[ alpha ]==> ((a (a a))(b (^x.x))) REDUCED to normal form. ------ 29166/1690077. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(a (^a.(^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. ------ 29167/1690095. ------ 1. ==[ start ]==> (((^a.b) c)((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.b) c)((a a)(^y.y))) 3. ==[ beta ]==> (b ((a a)(^y.y))) 4. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 29168/1690104. ------ 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 (^x.x)))(a a)) REDUCED to normal form. ------ 29169/1690131. ------ 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. ------ 29170/1690158. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (^y.y))) REDUCED to normal form. ------ 29171/1690188. ------ 1. ==[ start ]==> ((^a.(^a.a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 29172/1690431. ------ 1. ==[ start ]==> ((^a.(^b.a))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 29173/1693338. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^b.a)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.a)) 3. ==[ beta ]==> (((^z.a)(^z.a))(^y.y)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.z)) 5. ==[ beta ]==> (a (^z.z)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 29174/1693377. ------ 1. ==[ start ]==> ((a (^a.a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 29175/1693386. ------ 1. ==[ start ]==> (((^a.a) a)(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)(^y.((y y)(^z.z)))) 3. ==[ beta ]==> (a (^y.((y y)(^z.z)))) 4. ==[ alpha ]==> (a (^x.((x x)(^y.y)))) REDUCED to normal form. ------ 29176/1693419. ------ 1. ==[ start ]==> ((^a.b)((^b.(a a)) b)) 2. ==[ alpha ]==> ((^x.b)((^y.(a a)) b)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 29177/1693617. ------ 1. ==[ start ]==> ((^a.(^b.a))(a (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (^x.(a (^y.(^z.z)))) REDUCED to normal form. ------ 29178/1693620. ------ 1. ==[ start ]==> ((a (^b.a))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 29179/1693689. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((a a) a)(^z.a))) 3. ==[ eta ]==> ((^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. ------ 29180/1693860. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 29181/1694052. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^b.(^b.(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. ------ 29182/1694061. ------ 1. ==[ start ]==> (((a (a a)) a)(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.((^y.y)(x x)))) 3. ==[ beta ]==> (((a (a a)) a)(^x.(x x))) REDUCED to normal form. ------ 29183/1694310. ------ 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. ------ 29184/1694457. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(a x1))) 3. ==[ eta ]==> (((^x.x)((^y.y)(^z.z))) a) 4. ==[ beta ]==> (((^y.y)(^z.z)) a) 5. ==[ alpha ]==> (((^x.x)(^y.y)) a) 6. ==[ beta ]==> ((^y.y) a) 7. ==[ alpha ]==> ((^x.x) a) 8. ==[ beta ]==> a REDUCED to normal form. ------ 29185/1694835. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(^x1.b))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(^x1.b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(^x1.b))) 5. ==[ beta ]==> (a (^z.(^x1.b))) 6. ==[ alpha ]==> (a (^x.(^y.b))) REDUCED to normal form. ------ 29186/1694997. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.((a a) a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.((a a) a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.((a a) a))) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.((a a) a))) 6. ==[ alpha ]==> ((a ((^x.x) 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. ------ 29187/1695075. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 29188/1695456. ------ 1. ==[ start ]==> (((^a.a)(a b))(^b.((^a.a)(^a.a)))) 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)(^x.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 29189/1695600. ------ 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. ------ 29190/1695825. ------ 1. ==[ start ]==> (((a b)(a a))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 29191/1695849. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (a a)) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((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. ------ 29192/1695942. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(z1 z1)))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.(z1 z1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 7. ==[ beta ]==> (^y.(^z.(z z))) 8. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 29193/1696032. ------ 1. ==[ start ]==> (((a b) b)(^c.((^a.a) a))) 2. ==[ alpha ]==> (((a b) b)(^x.((^y.y) a))) 3. ==[ beta ]==> (((a b) b)(^x.a)) REDUCED to normal form. ------ 29194/1696221. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.((^z.z) y))) 3. ==[ eta ]==> ((((a a) a)(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 29195/1696338. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 29196/1696446. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^b.b)) 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. ------ 29197/1696464. ------ 1. ==[ start ]==> (((^a.b) c)(^d.a)) 2. ==[ alpha ]==> (((^x.b) c)(^y.a)) 3. ==[ beta ]==> (b (^y.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 29198/1696473. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^c.(^a.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 29199/1696524. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.z) a)) 3. ==[ beta ]==> ((((^z.z) a)((^z.z) a))(^y.y)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.z)) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.z)) 6. ==[ alpha ]==> ((a ((^x.x) a))(^y.y)) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 29200/1696527. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^b.a)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.a)) REDUCED to normal form. ------ 29201/1696575. ------ 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. ------ 29202/1696602. ------ 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. ------ 29203/1696611. ------ 1. ==[ start ]==> ((a b)((^b.(a a)) b)) 2. ==[ alpha ]==> ((a b)((^x.(a a)) b)) 3. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 29204/1696629. ------ 1. ==[ start ]==> (((a a)(^a.a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a b)(a (^y.y)))) REDUCED to normal form. ------ 29205/1696656. ------ 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. ------ 29206/1696683. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 29207/1696710. ------ 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. ------ 29208/1696737. ------ 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. ------ 29209/1696764. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(a b))) REDUCED to normal form. ------ 29210/1696782. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(b (^z.(a a)))) 3. ==[ beta ]==> ((^y.y)(b (^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 29211/1696791. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((a a)(a a))) REDUCED to normal form. ------ 29212/1696809. ------ 1. ==[ start ]==> ((a (^b.a))(a (^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 29213/1696827. ------ 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. ------ 29214/1696854. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 29215/1696881. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x) 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. ------ 29216/1696890. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.a)((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.a)((^y.a)((^z.z) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 29217/1696917. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 29218/1696971. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a)((a a) a))) 3. ==[ beta ]==> (((^y.y) a)((^z.a)((a a) a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.a)((a a) a))) 5. ==[ beta ]==> (a ((^y.a)((a a) a))) 6. ==[ alpha ]==> (a ((^x.a)((a a) a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 29219/1696998. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 29220/1697052. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 29221/1697070. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a b) b)) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a b) b)) 3. ==[ beta ]==> (((a a) a)((a b) b)) REDUCED to normal form. ------ 29222/1697160. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.(y y))(^z.(^x1.x1)))((^y.(y y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 9. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.(^x2.x2)))) 10. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 11. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 12. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 13. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 14. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 15. ==[ beta ]==> (^y.y) 16. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 29223/1697187. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 29224/1697223. ------ 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. ------ 29225/1697241. ------ 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)(^y.y))((^z.z)(^x1.(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. ------ 29226/1697250. ------ 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. ------ 29227/1697277. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a b)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a b)(a a))) REDUCED to normal form. ------ 29228/1697304. ------ 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. ------ 29229/1697331. ------ 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.z1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)((^y1.y1) a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((^x1.x1) a))) 7. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1) a)) 8. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) a)) 9. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 29230/1697358. ------ 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. ------ 29231/1697475. ------ 1. ==[ start ]==> (((a (a a))(a a))((a b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a a))((a b)(^x.x))) REDUCED to normal form. ------ 29232/1697502. ------ 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. ------ 29233/1697511. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 29234/1697538. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 29235/1697592. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.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. ------ 29236/1697646. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^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. ------ 29237/1697673. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.z))) 5. ==[ beta ]==> ((^y.b)(^z.z)) 6. ==[ alpha ]==> ((^x.b)(^y.y)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 29238/1697727. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(^y1.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. ------ 29239/1697853. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.b) a)) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.b) a)) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.b) a)) 5. ==[ beta ]==> ((a a)((^y.b) a)) 6. ==[ alpha ]==> ((a a)((^x.b) a)) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 29240/1697907. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z)) c)) 5. ==[ beta ]==> ((a a)((^y.(^z.z)) 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. ------ 29241/1697970. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(c (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(c (^y.(^z.z)))) 5. ==[ beta ]==> (c (^y.(^z.z))) 6. ==[ alpha ]==> (c (^x.(^y.y))) REDUCED to normal form. ------ 29242/1698024. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(a (^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(a (^z.b))) 3. ==[ beta ]==> (((^y.a)(^y.a))(a (^z.b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(a (^z.b))) 5. ==[ beta ]==> (a (a (^z.b))) 6. ==[ alpha ]==> (a (a (^x.b))) REDUCED to normal form. ------ 29243/1698105. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> (((a a) a)(((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> (((a a) a)(((^x.x) 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. ------ 29244/1698132. ------ 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)(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. ------ 29245/1698186. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.z)((a a) a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.z)((a a) a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)((a a) a))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.z)((a a) a))) 6. ==[ alpha ]==> ((a ((^x.x) 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. ------ 29246/1698267. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((a (^x.b))((^z.a)(^z.a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 29247/1698393. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1)) b)) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z)) b)) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 29248/1698438. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) a)(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (b (((^y.y) a)((^z.z) a))) 4. ==[ alpha ]==> (b (((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> (b (a ((^y.y) a))) 6. ==[ alpha ]==> (b (a ((^x.x) a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 29249/1698456. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(c (^z.(z z)))) 3. ==[ beta ]==> ((^y.b)(c (^z.(z z)))) 4. ==[ alpha ]==> ((^x.b)(c (^y.(y y)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 29250/1698537. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(a a))) IRREDUCIBLE: cycle. ------ 29251/1698600. ------ 1. ==[ start ]==> ((((a a) a) b)(c d)) REDUCED to normal form. ------ 29252/1698618. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (b ((^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. ------ 29253/1698645. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 29254/1698672. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 29255/1698726. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.a)(^z.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. ------ 29256/1698762. ------ 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. ------ 29257/1698789. ------ 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. ------ 29258/1698816. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (a a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.x))((a (a a))(a a))) REDUCED to normal form. ------ 29259/1698852. ------ 1. ==[ start ]==> (((a a)(a b))((^b.a) c)) 2. ==[ alpha ]==> (((a a)(a b))((^x.a) c)) 3. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 29260/1698933. ------ 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. ------ 29261/1698960. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1) a)(^y1.(^z1.z1)))) 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)))) 9. ==[ beta ]==> (a (a (^y.(^z.z)))) 10. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 29262/1698987. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 29263/1699014. ------ 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. ------ 29264/1699041. ------ 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. ------ 29265/1699050. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((^y.(a a))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(y y))(^z.z))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 29266/1699077. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.a)(^a.(^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. ------ 29267/1699131. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.(z1 z1)))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.(z1 z1)))) 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. ------ 29268/1699212. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b (^x1.a))) 3. ==[ beta ]==> (b (b (^x1.a))) 4. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 29269/1699221. ------ 1. ==[ start ]==> (((a b) b)((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a b) b)((a a)((^x.x) a))) 3. ==[ beta ]==> (((a b) b)((a a) a)) REDUCED to normal form. ------ 29270/1699266. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.a)(a a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a)(a a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(a a))) 5. ==[ beta ]==> ((a a)((^y.a)(a a))) 6. ==[ alpha ]==> ((a a)((^x.a)(a a))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 29271/1699275. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(c b)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(c b)) REDUCED to normal form. ------ 29272/1699293. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(^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. ------ 29273/1699302. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(b c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(b c)) REDUCED to normal form. ------ 29274/1699347. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.a)(^z1.z1))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.a)(^z1.z1))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(^y1.y1))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(^y1.y1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.x1))) 9. ==[ beta ]==> ((^y.y)((^z.a)(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)((^y.a)(^z.z))) 11. ==[ beta ]==> ((^y.a)(^z.z)) 12. ==[ alpha ]==> ((^x.a)(^y.y)) 13. ==[ beta ]==> a REDUCED to normal form. ------ 29275/1699356. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(c (a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(c (a a))) REDUCED to normal form. ------ 29276/1699383. ------ 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. ------ 29277/1699410. ------ 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. ------ 29278/1699428. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(c (^a.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(c (^z.z))) 3. ==[ beta ]==> (b (c (^z.z))) 4. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 29279/1699437. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z))(a a))) REDUCED to normal form. ------ 29280/1699464. ------ 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. ------ 29281/1699500. ------ 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)(a a))((a (^y.y))(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 29282/1699527. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 29283/1699554. ------ 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. ------ 29284/1699581. ------ 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. ------ 29285/1699608. ------ 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)) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 29286/1699635. ------ 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) a)((^y.y) b)) 4. ==[ alpha ]==> ((((a a) a) a)((^x.x) b)) 5. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 29287/1699653. ------ 1. ==[ start ]==> (((^a.b) c)(b a)) 2. ==[ alpha ]==> (((^x.b) c)(b a)) 3. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 29288/1699662. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 29289/1699689. ------ 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. ------ 29290/1699716. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y) a)) 3. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 29291/1699742. ------ 1. ==[ start ]==> (^a.(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (^x.(b ((^y.y)(x x)))) 3. ==[ beta ]==> (^x.(b (x x))) REDUCED to normal form. ------ 29292/1699743. ------ 1. ==[ start ]==> (a (b ((^a.a)(a a)))) 2. ==[ alpha ]==> (a (b ((^x.x)(a a)))) 3. ==[ beta ]==> (a (b (a a))) REDUCED to normal form. ------ 29293/1699773. ------ 1. ==[ start ]==> ((^a.(a a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(^y.((y y)(^z.z)))) 3. ==[ beta ]==> ((^y.((y y)(^z.z)))(^y.((y y)(^z.z)))) 4. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1)))) 5. ==[ beta ]==> (((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y)) 6. ==[ alpha ]==> (((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1)) 7. ==[ beta ]==> ((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1)) 8. ==[ alpha ]==> ((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1)) 9. ==[ beta ]==> (((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1)) 10. ==[ alpha ]==> (((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2)) 11. ==[ beta ]==> ((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2)) 12. ==[ alpha ]==> ((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2)) 13. ==[ beta ]==> (((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2)) 14. ==[ alpha ]==> (((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2)) 15. ==[ beta ]==> ((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2)) 16. ==[ alpha ]==> ((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) UNREDUCED: maximal number of reductions reached. ------ 29294/1702905. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.(z z))) 3. ==[ beta ]==> (((^z.(z z))(^z.(z z)))(^y.y)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.z)) 5. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.z)) 6. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.z)) IRREDUCIBLE: cycle. ------ 29295/1702941. ------ 1. ==[ start ]==> ((^a.a)(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.x)(b ((^y.y)(a a)))) 3. ==[ beta ]==> (b ((^y.y)(a a))) 4. ==[ alpha ]==> (b ((^x.x)(a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 29296/1702962. ------ 1. ==[ start ]==> (((^a.a) a)(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 29297/1702968. ------ 1. ==[ start ]==> ((^a.(a a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(a ((a a)(^y.y)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(a ((a a)(^y.y)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 29298/1702971. ------ 1. ==[ start ]==> ((a (a a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a a))(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 29299/1702995. ------ 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. ------ 29300/1703031. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b) c)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 29301/1703076. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((((^z.z)(^x1.x1))(a (a a)))(^y.y)) 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. ------ 29302/1703421. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.y))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 29303/1703436. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z)(a a)) a)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 29304/1703637. ------ 1. ==[ start ]==> (((a (a a)) a)(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.(a a)))) REDUCED to normal form. ------ 29305/1703853. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^a.(^b.(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. ------ 29306/1704042. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 29307/1704240. ------ 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 a)(^y.(y b))) 6. ==[ alpha ]==> ((a a)(^x.(x b))) REDUCED to normal form. ------ 29308/1704318. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x) x))((a (a a))((^y.y) a))) 3. ==[ beta ]==> ((((a (a a))((^y.y) a))((a (a a))((^y.y) a)))((a (a a))((^y.y) a))) 4. ==[ alpha ]==> ((((a (a a))((^x.x) a))((a (a a))((^y.y) a)))((a (a a))((^z.z) a))) 5. ==[ beta ]==> ((((a (a a)) a)((a (a a))((^y.y) a)))((a (a a))((^z.z) a))) 6. ==[ alpha ]==> ((((a (a a)) a)((a (a a))((^x.x) a)))((a (a a))((^y.y) a))) 7. ==[ beta ]==> ((((a (a a)) a)((a (a a)) a))((a (a a))((^y.y) a))) 8. ==[ alpha ]==> ((((a (a a)) a)((a (a a)) a))((a (a a))((^x.x) a))) 9. ==[ beta ]==> ((((a (a a)) a)((a (a a)) a))((a (a a)) a)) REDUCED to normal form. ------ 29309/1704582. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^b.((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.((a a) a))) REDUCED to normal form. ------ 29310/1704651. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (a a)) c)) 2. ==[ alpha ]==> ((^x.(^y.b))((a (a a)) c)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 29311/1704753. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(^y.((y y) y))) 3. ==[ beta ]==> (((a (a a)) a)(^y.((y y) y))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.((x x) x))) REDUCED to normal form. ------ 29312/1704831. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> ((((^y.y) a)((^z.z) 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) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 29313/1705032. ------ 1. ==[ start ]==> (((^a.a)(a b))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 29314/1705041. ------ 1. ==[ start ]==> (((a a)(^a.b))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.b))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 29315/1705176. ------ 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. ------ 29316/1705218. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(z z)) b)) 3. ==[ beta ]==> (^y.(((^z.(z z)) b)((^z.(z z)) b))) 4. ==[ alpha ]==> (^x.(((^y.(y y)) b)((^z.(z z)) b))) 5. ==[ beta ]==> (^x.((b b)((^z.(z z)) b))) 6. ==[ alpha ]==> (^x.((b b)((^y.(y y)) b))) 7. ==[ beta ]==> (^x.((b b)(b b))) REDUCED to normal form. ------ 29317/1705518. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^c.d)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.d)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.d)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.d)) 5. ==[ beta ]==> ((^y.y)(^y1.d)) 6. ==[ alpha ]==> ((^x.x)(^y.d)) 7. ==[ beta ]==> (^y.d) 8. ==[ alpha ]==> (^x.d) REDUCED to normal form. ------ 29318/1705635. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.(^z.(z z)))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.(z z)))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 29319/1705797. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^b.(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 29320/1705995. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(y (^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(y (^z.z)))) 6. ==[ alpha ]==> ((a (a a))(^x.(x (^y.y)))) REDUCED to normal form. ------ 29321/1706040. ------ 1. ==[ start ]==> (((^a.b) c)(^a.(^a.(^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. ------ 29322/1706076. ------ 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. ------ 29323/1706100. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(a (a a))) 2. ==[ alpha ]==> ((^x.((x 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. ------ 29324/1706103. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(y y))) REDUCED to normal form. ------ 29325/1706142. ------ 1. ==[ start ]==> ((a a)(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a a)(b ((^x.x)(a a)))) 3. ==[ beta ]==> ((a a)(b (a a))) REDUCED to normal form. ------ 29326/1706169. ------ 1. ==[ start ]==> ((a (a a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a a))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 29327/1706196. ------ 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. ------ 29328/1706205. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a)) b)) 3. ==[ beta ]==> ((a a)((^y.(a a)) b)) 4. ==[ alpha ]==> ((a a)((^x.(a a)) b)) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 29329/1706232. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b) c)) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 29330/1706250. ------ 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. ------ 29331/1706277. ------ 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)))((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(a (a a)))) 5. ==[ beta ]==> ((a (a (^x.x)))(a (a a))) REDUCED to normal form. ------ 29332/1706376. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (^z.(a a)))) REDUCED to normal form. ------ 29333/1706430. ------ 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)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 29334/1706475. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((a a) a)(^z.a))) 3. ==[ beta ]==> ((^y.a)(((a a) a)(^z.a))) 4. ==[ alpha ]==> ((^x.a)(((a a) a)(^y.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 29335/1706502. ------ 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)(^z1.z1))(^x2.(x2 x2)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 x1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z z))) 7. ==[ beta ]==> ((^y.y)(^z.(z z))) 8. ==[ alpha ]==> ((^x.x)(^y.(y y))) 9. ==[ beta ]==> (^y.(y y)) 10. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 29336/1706511. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.(^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. ------ 29337/1706538. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((^y.y)(^z.z)))) 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. ------ 29338/1706565. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)((a a) a))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 29339/1706583. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 29340/1706592. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(^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. ------ 29341/1706619. ------ 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 (^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. ------ 29342/1706637. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(a a)) a)) 3. ==[ beta ]==> ((a (^x.(x x)))((a a) a)) REDUCED to normal form. ------ 29343/1706727. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 29344/1706808. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(^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. ------ 29345/1706835. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.x)(^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. ------ 29346/1706853. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(a a)) a)) 3. ==[ beta ]==> ((a (a a))((^y.(a a)) a)) 4. ==[ alpha ]==> ((a (a a))((^x.(a a)) a)) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 29347/1706880. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^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. ------ 29348/1706979. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a (a a)))(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a a)(a (a a)))(a (^y.y))) 6. ==[ alpha ]==> (((a a)(a (a a)))(a (^x.x))) REDUCED to normal form. ------ 29349/1707006. ------ 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))) REDUCED to normal form. ------ 29350/1707033. ------ 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))) REDUCED to normal form. ------ 29351/1707051. ------ 1. ==[ start ]==> (((^a.(a a)) b)(a (^b.(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. ------ 29352/1707096. ------ 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. ------ 29353/1707123. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^x1.x1)(^y1.y1))(^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. ------ 29354/1707177. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.(^x2.x2)))) 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. ------ 29355/1707186. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.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. ------ 29356/1707213. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> (a ((^y.(^z.z))((a a) a))) 6. ==[ alpha ]==> (a ((^x.(^y.y))((a a) a))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 29357/1707231. ------ 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. ------ 29358/1707240. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 29359/1707258. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (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. ------ 29360/1707267. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) b) REDUCED to normal form. ------ 29361/1707294. ------ 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)))) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 29362/1707321. ------ 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. ------ 29363/1707348. ------ 1. ==[ start ]==> ((((^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 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(z z)))) 7. ==[ beta ]==> ((^y.(y y))(^z.(z z))) 8. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) 9. ==[ beta ]==> ((^y.(y y))(^y.(y y))) 10. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) IRREDUCIBLE: cycle. ------ 29364/1707411. ------ 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. ------ 29365/1707438. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(a (a b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(a (a b))) 3. ==[ beta ]==> ((a ((^y.y) a))(a (a b))) 4. ==[ alpha ]==> ((a ((^x.x) a))(a (a b))) 5. ==[ beta ]==> ((a a)(a (a b))) REDUCED to normal form. ------ 29366/1707465. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((a a) a)(a a))) REDUCED to normal form. ------ 29367/1707492. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^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)((^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. ------ 29368/1707519. ------ 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. ------ 29369/1707645. ------ 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))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 29370/1707672. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a) a)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 29371/1707690. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a (a a))(^y.a))) 3. ==[ beta ]==> (((a a) a)((a (a a))(^y.a))) 4. ==[ alpha ]==> (((a a) a)((a (a a))(^x.a))) REDUCED to normal form. ------ 29372/1707717. ------ 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.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.(z1 z1)))) 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. ------ 29373/1707726. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.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. ------ 29374/1707753. ------ 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.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 29375/1707780. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)((a a) a))) 3. ==[ beta ]==> (((a (a a))(^x.a))((a a) a)) REDUCED to normal form. ------ 29376/1707834. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 29377/1707852. ------ 1. ==[ start ]==> ((a (^a.b))((a (a a)) c)) 2. ==[ alpha ]==> ((a (^x.b))((a (a a)) c)) REDUCED to normal form. ------ 29378/1707924. ------ 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. ------ 29379/1707951. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(a ((a a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(a ((a a) a))) 3. ==[ beta ]==> (((a (a a)) a)(a ((a a) a))) REDUCED to normal form. ------ 29380/1707978. ------ 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 (^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. ------ 29381/1708005. ------ 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. ------ 29382/1708032. ------ 1. ==[ start ]==> ((a (a b))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((a (a b))(((^x.x) a)((^y.y) a))) 3. ==[ beta ]==> ((a (a b))(a ((^y.y) a))) 4. ==[ alpha ]==> ((a (a b))(a ((^x.x) a))) 5. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 29383/1708122. ------ 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.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(^x1.x1))(^y1.y1))) IRREDUCIBLE: cycle. ------ 29384/1708185. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.a)((^y.y) a))) 3. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 29385/1708203. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 29386/1708212. ------ 1. ==[ start ]==> (((a b) a)((^a.(^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. ------ 29387/1708230. ------ 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. ------ 29388/1708239. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.b))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 29389/1708257. ------ 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)) 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. ------ 29390/1708293. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 29391/1708320. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x))) a) REDUCED to normal form. ------ 29392/1708347. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 29393/1708374. ------ 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. ------ 29394/1708392. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(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. ------ 29395/1708419. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y)) b)) 3. ==[ beta ]==> ((a (^x.(a a)))(b b)) REDUCED to normal form. ------ 29396/1708437. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x) 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. ------ 29397/1708464. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((a (^y.y)) a)) REDUCED to normal form. ------ 29398/1708491. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a a)(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a a)(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a a)(a (a a)))) 5. ==[ beta ]==> ((a (^y.y))((a a)(a (a a)))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(a (a a)))) REDUCED to normal form. ------ 29399/1708590. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 29400/1708635. ------ 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 a) REDUCED to normal form. ------ 29401/1708662. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1) a) b)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a) b)) 5. ==[ beta ]==> (((^y.y) a) b) 6. ==[ alpha ]==> (((^x.x) a) b) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 29402/1708797. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> (b ((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) c)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 29403/1708806. ------ 1. ==[ start ]==> (((a b) b)(b (^b.a))) 2. ==[ alpha ]==> (((a b) b)(b (^x.a))) REDUCED to normal form. ------ 29404/1708833. ------ 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. ------ 29405/1708851. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)(^z.z))) 5. ==[ beta ]==> ((a a)(((^y.y) a)(^z.z))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.y))) 7. ==[ beta ]==> ((a a)(a (^y.y))) 8. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 29406/1708860. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a)(a a))) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 29407/1708878. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (^a.a))(^a.(^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. ------ 29408/1708887. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(^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. ------ 29409/1708932. ------ 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))((^y.y)(^z.z)))(((^x1.x1) a) a)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a) a)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1) a) a)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a) a)) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a) a)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a) a)) 9. ==[ beta ]==> ((^y.y)(((^z.z) a) a)) 10. ==[ alpha ]==> ((^x.x)(((^y.y) a) a)) 11. ==[ beta ]==> (((^y.y) a) a) 12. ==[ alpha ]==> (((^x.x) a) a) 13. ==[ beta ]==> (a a) REDUCED to normal form. ------ 29410/1708941. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 29411/1708968. ------ 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.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.y1)))((^y.(^z.z))(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 9. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 29412/1708995. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.a)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.a)) REDUCED to normal form. ------ 29413/1709013. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.a) a)) 3. ==[ beta ]==> (b ((^z.a) a)) 4. ==[ alpha ]==> (b ((^x.a) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 29414/1709022. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(c (^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c (^z.z))) REDUCED to normal form. ------ 29415/1709049. ------ 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)))) REDUCED to normal form. ------ 29416/1709112. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(b b)) 2. ==[ alpha ]==> (((a (^x.x))(a b))(b b)) REDUCED to normal form. ------ 29417/1709166. ------ 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. ------ 29418/1709193. ------ 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. ------ 29419/1709220. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a a)(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a a)(a a))) 3. ==[ beta ]==> ((((a a) a) a)((a a)(a a))) REDUCED to normal form. ------ 29420/1709238. ------ 1. ==[ start ]==> (((^a.b) c)(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(a (^y.(^z.z)))) 3. ==[ beta ]==> (b (a (^y.(^z.z)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 29421/1709247. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(b a)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(b a)) REDUCED to normal form. ------ 29422/1709274. ------ 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. ------ 29423/1709301. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(a (a a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (a a))) REDUCED to normal form. ------ 29424/1709336. ------ 1. ==[ start ]==> (^a.((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(x x)))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 29425/1709337. ------ 1. ==[ start ]==> (a ((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 29426/1709367. ------ 1. ==[ start ]==> ((^a.(a a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 29427/1709592. ------ 1. ==[ start ]==> ((^a.(^b.a))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (^x.(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 29428/1711824. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(a (a a)))(^z.(a (a a))))) 4. ==[ alpha ]==> ((^x.x)((^y.(a (a a)))(^z.(a (a a))))) 5. ==[ beta ]==> ((^y.(a (a a)))(^z.(a (a a)))) 6. ==[ alpha ]==> ((^x.(a (a a)))(^y.(a (a a)))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 29429/1712499. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (((^z.(^x1.x1))(^z.(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.y1)) 5. ==[ beta ]==> ((^y.y)(^y1.y1)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 29430/1712538. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a))) a) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a))) a) 3. ==[ beta ]==> ((^y.y) a) 4. ==[ alpha ]==> ((^x.x) a) 5. ==[ beta ]==> a REDUCED to normal form. ------ 29431/1712544. ------ 1. ==[ start ]==> ((^a.a)((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^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. ------ 29432/1712553. ------ 1. ==[ start ]==> ((^a.(^a.a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 29433/1712574. ------ 1. ==[ start ]==> ((a (a a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 29434/1712583. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y)(^z.z)))) 5. ==[ beta ]==> (^y.((y y)(^z.z))) 6. ==[ alpha ]==> (^x.((x x)(^y.y))) REDUCED to normal form. ------ 29435/1712634. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b)(a (^x1.x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 29436/1712796. ------ 1. ==[ start ]==> ((^a.(^b.a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> (^y.((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> (^x.((a a)((^y.y)(a a)))) 5. ==[ beta ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 29437/1712799. ------ 1. ==[ start ]==> ((a (^b.a))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.a))(^y.(a a))) REDUCED to normal form. ------ 29438/1712868. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.b)(a (^x1.x1)))) 3. ==[ eta ]==> ((^y.y)((^z.b)(a (^x1.x1)))) 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. ------ 29439/1713138. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.(x1 x1)))(((^y.(^z.z))(^x1.(x1 x1)))((^y.(^z.z))(^x1.(x1 x1))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^x1.(^y1.y1))(^z1.(z1 z1)))((^x2.(^y2.y2))(^z2.(z2 z2))))) 5. ==[ beta ]==> ((^y.y)(((^x1.(^y1.y1))(^z1.(z1 z1)))((^x2.(^y2.y2))(^z2.(z2 z2))))) 6. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(^x1.(x1 x1)))((^y1.(^z1.z1))(^x2.(x2 x2))))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.(x1 x1)))((^y1.(^z1.z1))(^x2.(x2 x2)))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(z1 z1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 29440/1713258. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> ((a (a a))(^y.((^z.z)(y y)))) 4. ==[ alpha ]==> ((a (a a))(^x.((^y.y)(x x)))) 5. ==[ beta ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 29441/1713363. ------ 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. ------ 29442/1713465. ------ 1. ==[ start ]==> (((a (a a))(a a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.(^y.(x x)))) REDUCED to normal form. ------ 29443/1713489. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.b)(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. ------ 29444/1713645. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^c.(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.b))) REDUCED to normal form. ------ 29445/1713843. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(^x1.z))) 3. ==[ beta ]==> ((a ((^y.y) a))(^z.(^x1.z))) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.y))) 5. ==[ beta ]==> ((a a)(^y.(^z.y))) 6. ==[ alpha ]==> ((a a)(^x.(^y.x))) REDUCED to normal form. ------ 29446/1714014. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^c.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.((a a) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.((a a) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.((a a) a))) 5. ==[ beta ]==> (a (^z.((a a) a))) 6. ==[ alpha ]==> (a (^x.((a a) a))) REDUCED to normal form. ------ 29447/1714185. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^c.(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 29448/1714356. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 29449/1714644. ------ 1. ==[ start ]==> (((a a)(^a.b))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 29450/1714797. ------ 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 (^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. ------ 29451/1714821. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (a a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (a a))(a a))) 3. ==[ beta ]==> (^y.(((a (a a))(a a))((a (a a))(a a)))) 4. ==[ alpha ]==> (^x.(((a (a a))(a a))((a (a a))(a a)))) REDUCED to normal form. ------ 29452/1714923. ------ 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. ------ 29453/1715028. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.z)(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a (a a)))((^z.z)(a (a a))))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a (a a)))((^z.z)(a (a a))))) 5. ==[ beta ]==> (((^y.y)(a (a a)))((^z.z)(a (a a)))) 6. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y)(a (a a)))) 7. ==[ beta ]==> ((a (a a))((^y.y)(a (a a)))) 8. ==[ alpha ]==> ((a (a a))((^x.x)(a (a a)))) 9. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 29454/1715031. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(a (a a)))) 3. ==[ beta ]==> ((a (a a))(^y.(a (a a)))) 4. ==[ alpha ]==> ((a (a a))(^x.(a (a a)))) REDUCED to normal form. ------ 29455/1715400. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^c.c)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 29456/1715418. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.b)(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.z)) 5. ==[ beta ]==> (b (^z.z)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 29457/1715490. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(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. ------ 29458/1715544. ------ 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. ------ 29459/1715598. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(^b.(^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. ------ 29460/1715643. ------ 1. ==[ start ]==> (((^a.b) c)(^b.b)) 2. ==[ alpha ]==> (((^x.b) c)(^y.y)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 29461/1715652. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 29462/1715679. ------ 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. ------ 29463/1715703. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((((^z.z)(^x1.x1))((^z.z)(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.y1)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.y1)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.x1)) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 9. ==[ beta ]==> ((^y.y)(^z.z)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 29464/1715706. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 29465/1715742. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^a.a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^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. ------ 29466/1715754. ------ 1. ==[ start ]==> ((a a)((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 29467/1715763. ------ 1. ==[ start ]==> ((a (^a.a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(b ((^y.y)(a a)))) 3. ==[ beta ]==> ((a (^x.x))(b (a a))) REDUCED to normal form. ------ 29468/1715790. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(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. ------ 29469/1715817. ------ 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. ------ 29470/1715826. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a)) b)) 3. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 29471/1715844. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(a (^z.z)))) REDUCED to normal form. ------ 29472/1715853. ------ 1. ==[ start ]==> (((^a.a) b)((^a.b) c)) 2. ==[ alpha ]==> (((^x.x) b)((^y.b) c)) 3. ==[ beta ]==> (b ((^y.b) c)) 4. ==[ alpha ]==> (b ((^x.b) c)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 29473/1715898. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 29474/1715925. ------ 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)(^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. ------ 29475/1715952. ------ 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. ------ 29476/1715979. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a (^z.z))(a b))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(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. ------ 29477/1716006. ------ 1. ==[ start ]==> ((a (^b.a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a (^x.a))((a a)(a a))) REDUCED to normal form. ------ 29478/1716042. ------ 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)(((^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. ------ 29479/1716051. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(a a))(a a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 29480/1716078. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> ((a a)((^y.b)(a (^z.z)))) 4. ==[ alpha ]==> ((a a)((^x.b)(a (^y.y)))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 29481/1716123. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.(z z))) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.(y y))) REDUCED to normal form. ------ 29482/1716150. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a (a a))(^b.(^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. ------ 29483/1716177. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.a))(a (^z.a))) 4. ==[ alpha ]==> (((a a)(^x.a))(a (^y.a))) REDUCED to normal form. ------ 29484/1716204. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.b))) REDUCED to normal form. ------ 29485/1716231. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a a)(^z.(a a)))) 3. ==[ beta ]==> ((a (^y.y))((a a)(^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(a a)))) REDUCED to normal form. ------ 29486/1716267. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((a a) a)((^y.(a a))(^z.z))) 4. ==[ alpha ]==> (((a a) a)((^x.(a a))(^y.y))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 29487/1716294. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 29488/1716348. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((a (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 29489/1716438. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(b (a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(b (a b))) 3. ==[ beta ]==> (((^y.y)(^y.y))(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. ------ 29490/1716465. ------ 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. ------ 29491/1716474. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(a a)) a)) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 29492/1716492. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a b)(a a))) 3. ==[ beta ]==> ((^y.y)((a b)(a a))) 4. ==[ alpha ]==> ((^x.x)((a b)(a a))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 29493/1716501. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.b) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.b) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) b) REDUCED to normal form. ------ 29494/1716546. ------ 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)(a a))(((^y.y)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)((^z.z) a))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)((^y.y) a))) 7. ==[ beta ]==> (((a a)(a a))((^y.y) a)) 8. ==[ alpha ]==> (((a a)(a a))((^x.x) a)) 9. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 29495/1716573. ------ 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. ------ 29496/1716645. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(b (^z.b))) 3. ==[ beta ]==> ((a (a (^y.y)))(b (^z.b))) 4. ==[ alpha ]==> ((a (a (^x.x)))(b (^y.b))) REDUCED to normal form. ------ 29497/1716672. ------ 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. ------ 29498/1716699. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.b)(a a))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)(a a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)(a a))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 29499/1716798. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a) a)(^b.(^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. ------ 29500/1716852. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.b))) REDUCED to normal form. ------ 29501/1716879. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a b) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a b) a)) REDUCED to normal form. ------ 29502/1716906. ------ 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. ------ 29503/1716996. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.a)(^b.(^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)))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 29504/1717050. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)(^x1.b))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.z)(^x1.b))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)(^z.b))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.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. ------ 29505/1717167. ------ 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)(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. ------ 29506/1717221. ------ 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)(^y.a))((a a)((a a) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a a)((a a) a))) 5. ==[ beta ]==> (a ((a a)((a a) a))) REDUCED to normal form. ------ 29507/1717257. ------ 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. ------ 29508/1717284. ------ 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)))) 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. ------ 29509/1717338. ------ 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.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.(x1 x1)))) REDUCED to normal form. ------ 29510/1717365. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 29511/1717392. ------ 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. ------ 29512/1717419. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a) a) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a) a) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a) a)) 5. ==[ beta ]==> ((^y.(^z.z))(((a a) a) a)) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a) a) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 29513/1717446. ------ 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. ------ 29514/1717482. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(x x))(^y.a))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.a)(^y.a))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.a)(^y.a))) 5. ==[ beta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 29515/1717509. ------ 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.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 29516/1717536. ------ 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.(^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. ------ 29517/1717635. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.b) a)((^y.(y y)) c)) 3. ==[ beta ]==> (b ((^y.(y y)) c)) 4. ==[ alpha ]==> (b ((^x.(x x)) c)) 5. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 29518/1717653. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.b)(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.b)(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 29519/1717797. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x) 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. ------ 29520/1717815. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(c d)) 2. ==[ alpha ]==> (((^x.b)(^y.y))(c d)) 3. ==[ beta ]==> (b (c d)) REDUCED to normal form. ------ 29521/1717824. ------ 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. ------ 29522/1717851. ------ 1. ==[ start ]==> (((a a)(^a.b))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 29523/1717905. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 29524/1718004. ------ 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 (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. ------ 29525/1718013. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 29526/1718031. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (a a))(a a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (a a))(a a))) REDUCED to normal form. ------ 29527/1718103. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(b (^x1.(x1 x1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(b (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(b (^z.(z z)))) 5. ==[ beta ]==> ((a (^y.y))(b (^z.(z z)))) 6. ==[ alpha ]==> ((a (^x.x))(b (^y.(y y)))) REDUCED to normal form. ------ 29528/1718130. ------ 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. ------ 29529/1718157. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(x1 x1))(a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(z z))(a a))) 5. ==[ beta ]==> (((^y.y) a)((^z.(z z))(a a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(a a))) 7. ==[ beta ]==> (a ((^y.(y y))(a a))) 8. ==[ alpha ]==> (a ((^x.(x x))(a a))) 9. ==[ beta ]==> (a ((a a)(a a))) REDUCED to normal form. ------ 29530/1718184. ------ 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) REDUCED to normal form. ------ 29531/1718202. ------ 1. ==[ start ]==> (((^a.b) b)((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b) b)((a (^y.y))(^z.a))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.a))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.a))) REDUCED to normal form. ------ 29532/1718211. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 29533/1718238. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(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)))) 5. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 29534/1718328. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b ((^x1.x1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b ((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b ((^y1.y1) a))) 5. ==[ beta ]==> ((^y.y)(b ((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.x)(b ((^y.y) a))) 7. ==[ beta ]==> (b ((^y.y) a)) 8. ==[ alpha ]==> (b ((^x.x) a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 29535/1718409. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (b ((a (^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 29536/1718418. ------ 1. ==[ start ]==> (((a b) b)((^a.(^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. ------ 29537/1718472. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(a (^y.y))) REDUCED to normal form. ------ 29538/1718490. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(c b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(c b)) 3. ==[ beta ]==> ((^y.y)(c b)) 4. ==[ alpha ]==> ((^x.x)(c b)) 5. ==[ beta ]==> (c b) REDUCED to normal form. ------ 29539/1718499. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 29540/1718553. ------ 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))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 29541/1718580. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a (^x1.x1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z)) b)) 5. ==[ beta ]==> ((^y.(y y))((a (^z.z)) b)) 6. ==[ alpha ]==> ((^x.(x x))((a (^y.y)) b)) 7. ==[ beta ]==> (((a (^y.y)) b)((a (^y.y)) b)) 8. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y)) b)) REDUCED to normal form. ------ 29542/1718607. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a a) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a a) c)) REDUCED to normal form. ------ 29543/1718625. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(a ((^z.z) a))) 3. ==[ beta ]==> (b (a ((^z.z) a))) 4. ==[ alpha ]==> (b (a ((^x.x) a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 29544/1718634. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a) a)) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 29545/1718661. ------ 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))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 29546/1718697. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(a (^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(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. ------ 29547/1718724. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(^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. ------ 29548/1718751. ------ 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. ------ 29549/1718778. ------ 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))(^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. ------ 29550/1718805. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 8. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 29551/1718832. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(b (^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(b (^y.y))) 3. ==[ beta ]==> ((((a a) a) a)(b (^y.y))) 4. ==[ alpha ]==> ((((a a) a) a)(b (^x.x))) REDUCED to normal form. ------ 29552/1718850. ------ 1. ==[ start ]==> (((^a.b) c)((^a.a) b)) 2. ==[ alpha ]==> (((^x.b) c)((^y.y) b)) 3. ==[ beta ]==> (b ((^y.y) b)) 4. ==[ alpha ]==> (b ((^x.x) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 29553/1718859. ------ 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. ------ 29554/1718886. ------ 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. ------ 29555/1718913. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 29556/1718949. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(a a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(a a)) 3. ==[ beta ]==> ((^y.y)(a a)) 4. ==[ alpha ]==> ((^x.x)(a a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 29557/1719456. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 29558/1722159. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a))) b) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a))) b) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 29559/1722183. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 29560/1722213. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 29561/1722222. ------ 1. ==[ start ]==> (((a a) a)(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a) a)(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 29562/1722228. ------ 1. ==[ start ]==> ((^a.b)((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z)) a)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 29563/1722426. ------ 1. ==[ start ]==> ((^a.(^b.a))(b (^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(b (^z.(a a)))) 3. ==[ beta ]==> (^y.(b (^z.(a a)))) 4. ==[ alpha ]==> (^x.(b (^y.(a a)))) REDUCED to normal form. ------ 29564/1722498. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a b)(^z.(^x1.x1)))) 3. ==[ eta ]==> ((^y.y)((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 29565/1722669. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 29566/1722672. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.(x x)))(^y.(a a))) REDUCED to normal form. ------ 29567/1722888. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^b.(^b.(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. ------ 29568/1722897. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^y.(y y))) REDUCED to normal form. ------ 29569/1723086. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^c.(a b))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(a b))) 3. ==[ beta ]==> ((b b)(^y.(a b))) 4. ==[ alpha ]==> ((b b)(^x.(a b))) REDUCED to normal form. ------ 29570/1723119. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a b)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 29571/1723293. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(^z.(a z))) 3. ==[ eta ]==> (((^x.(^y.y))(a (a a))) a) 4. ==[ beta ]==> ((^y.y) a) 5. ==[ alpha ]==> ((^x.x) a) 6. ==[ beta ]==> a REDUCED to normal form. ------ 29572/1723551. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((((^y.(^z.z)) c)((^y.(^z.z)) c))((^y.(^z.z)) c)) 4. ==[ alpha ]==> ((((^x.(^y.y)) c)((^z.(^x1.x1)) c))((^y1.(^z1.z1)) c)) 5. ==[ beta ]==> (((^y.y)((^z.(^x1.x1)) c))((^y1.(^z1.z1)) c)) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) c))((^x1.(^y1.y1)) c)) 7. ==[ beta ]==> (((^y.(^z.z)) c)((^x1.(^y1.y1)) c)) 8. ==[ alpha ]==> (((^x.(^y.y)) c)((^z.(^x1.x1)) c)) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) c)) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) c)) 11. ==[ beta ]==> ((^y.(^z.z)) c) 12. ==[ alpha ]==> ((^x.(^y.y)) c) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 29573/1723884. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 29574/1724064. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(a a)) c)) 2. ==[ alpha ]==> ((^x.(x b))((^y.(y y)) c)) 3. ==[ beta ]==> (((^y.(y y)) c) b) 4. ==[ alpha ]==> (((^x.(x x)) c) b) 5. ==[ beta ]==> ((c c) b) REDUCED to normal form. ------ 29575/1724292. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 29576/1724427. ------ 1. ==[ start ]==> (((^a.b)(a a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 29577/1724436. ------ 1. ==[ start ]==> (((a b)(^a.a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.x))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 29578/1724658. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a a)(^z.(z z)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.(z z)))((a a)(^z.(z z))))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.(y y)))((a a)(^z.(z z))))) 5. ==[ beta ]==> (((a a)(^y.(y y)))((a a)(^z.(z z)))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 29579/1724670. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(a (a a)))) 3. ==[ beta ]==> ((^y.(a a))(^z.(a (a a)))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(a (a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 29580/1724886. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.(z z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.(z z)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 29581/1724967. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.((^y1.y1) a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.((^z1.z1) a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.((^z1.z1) a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.((^y1.y1) a))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.((^y1.y1) a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((^x1.x1) a))) 9. ==[ beta ]==> ((^y.y)(^z.((^x1.x1) a))) 10. ==[ alpha ]==> ((^x.x)(^y.((^z.z) a))) 11. ==[ beta ]==> (^y.((^z.z) a)) 12. ==[ alpha ]==> (^x.((^y.y) a)) 13. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 29582/1725048. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^b.(^b.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. ------ 29583/1725057. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 29584/1725120. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^b.c)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.c)) 3. ==[ beta ]==> (((a a)(a a))(^y.c)) 4. ==[ alpha ]==> (((a a)(a a))(^x.c)) REDUCED to normal form. ------ 29585/1725273. ------ 1. ==[ start ]==> (((^a.b) c)(^c.(a a))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(a a))) 3. ==[ beta ]==> (b (^y.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 29586/1725282. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^b.b)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 29587/1725333. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a a) a)) 2. ==[ alpha ]==> ((^x.((x 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. ------ 29588/1725372. ------ 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)(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 29589/1725402. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 29590/1725411. ------ 1. ==[ start ]==> (((^a.a) a)(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x) a)(b ((^y.y)(a a)))) 3. ==[ beta ]==> (a (b ((^y.y)(a a)))) 4. ==[ alpha ]==> (a (b ((^x.x)(a a)))) 5. ==[ beta ]==> (a (b (a a))) REDUCED to normal form. ------ 29591/1725438. ------ 1. ==[ start ]==> (((a a) a)(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a) a)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 29592/1725447. ------ 1. ==[ start ]==> ((a b)((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((a b)((^x.(^y.y)) a)) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 29593/1725465. ------ 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. ------ 29594/1725492. ------ 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. ------ 29595/1725501. ------ 1. ==[ start ]==> (((a a)(a a))((^a.b) c)) 2. ==[ alpha ]==> (((a a)(a a))((^x.b) c)) 3. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 29596/1725519. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((a a) a)((^z.z) a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y) a))) 5. ==[ beta ]==> (((a a) a)((^y.y) a)) 6. ==[ alpha ]==> (((a a) a)((^x.x) a)) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 29597/1725546. ------ 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. ------ 29598/1725573. ------ 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 (^x.x)) a)((a (a a))(^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a (a a))(^y.y))) REDUCED to normal form. ------ 29599/1725600. ------ 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. ------ 29600/1725627. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(a b))) REDUCED to normal form. ------ 29601/1725645. ------ 1. ==[ start ]==> ((a (^b.a))(b (^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(b (^y.(a a)))) REDUCED to normal form. ------ 29602/1725690. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a a)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a a)(^y.y))) REDUCED to normal form. ------ 29603/1725717. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a b)(^a.(^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. ------ 29604/1725726. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.a)((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)((^y.b)(a (^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 29605/1725807. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (a ((^y.(y y))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.(x x))((^y.y)(^z.z)))) 7. ==[ beta ]==> (a (((^y.y)(^z.z))((^y.y)(^z.z)))) 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. ------ 29606/1725834. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 29607/1725888. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.(x x)))((^z.z)(a a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(a a))) 5. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 29608/1725906. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a a)((^x.x) 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)) 5. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 29609/1725933. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a b) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a b) b)) REDUCED to normal form. ------ 29610/1725996. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((^y.(^z.z))(^x1.(x1 x1)))((^y.(^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 7. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(z1 z1)))) 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. ------ 29611/1726023. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(a a))(^b.(^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. ------ 29612/1726059. ------ 1. ==[ start ]==> ((((^a.a) a) b)(c ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(c ((a a) a))) 3. ==[ beta ]==> ((a b)(c ((a a) a))) REDUCED to normal form. ------ 29613/1726077. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.b))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 29614/1726086. ------ 1. ==[ start ]==> (((a (a a)) a)(b (a b))) REDUCED to normal form. ------ 29615/1726104. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^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. ------ 29616/1726113. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(a ((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a (a a))) REDUCED to normal form. ------ 29617/1726140. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a b)(a a))) REDUCED to normal form. ------ 29618/1726167. ------ 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. ------ 29619/1726194. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(^x.x))((^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. ------ 29620/1726302. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a a)(a b))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a a)(a b))) 3. ==[ beta ]==> ((b b)((a a)(a b))) REDUCED to normal form. ------ 29621/1726338. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a b)(^z.z))) 3. ==[ beta ]==> ((a (^y.y))((a b)(^z.z))) 4. ==[ alpha ]==> ((a (^x.x))((a b)(^y.y))) REDUCED to normal form. ------ 29622/1726347. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 29623/1726428. ------ 1. ==[ start ]==> (((^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 a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(a (a a)))) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (a a)))) 7. ==[ beta ]==> ((^y.(y y))(a (a a))) 8. ==[ alpha ]==> ((^x.(x x))(a (a a))) 9. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 29624/1726482. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((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. ------ 29625/1726509. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.z)(a b))) 3. ==[ beta ]==> ((^y.y)((^z.z)(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a b))) 5. ==[ beta ]==> ((^y.y)(a b)) 6. ==[ alpha ]==> ((^x.x)(a b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 29626/1726716. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.b) a)) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.b) a)) 3. ==[ beta ]==> (((a (a a))(a (^x.x))) b) REDUCED to normal form. ------ 29627/1726770. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y)) c)) 3. ==[ beta ]==> ((a ((a a) a))(^y.y)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 29628/1726860. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(b (^z.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(b (^z.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(b (^z.a))) 5. ==[ beta ]==> (a (b (^z.a))) 6. ==[ alpha ]==> (a (b (^x.a))) REDUCED to normal form. ------ 29629/1726941. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.(^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)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 29630/1726968. ------ 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 y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))((^z1.z1) 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. ------ 29631/1727022. ------ 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.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z)(^x1.x1)))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 29632/1727103. ------ 1. ==[ start ]==> ((a (^a.b))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 29633/1727256. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.(^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. ------ 29634/1727274. ------ 1. ==[ start ]==> (((^a.b) a)((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((a (a a))(a (^y.y)))) 3. ==[ beta ]==> (b ((a (a a))(a (^y.y)))) 4. ==[ alpha ]==> (b ((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 29635/1727283. ------ 1. ==[ start ]==> ((a (a b))((^a.(a a)) c)) 2. ==[ alpha ]==> ((a (a b))((^x.(x x)) c)) 3. ==[ beta ]==> ((a (a b))(c c)) REDUCED to normal form. ------ 29636/1727454. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (b ((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 29637/1727463. ------ 1. ==[ start ]==> (((a b) a)(c d)) REDUCED to normal form. ------ 29638/1727481. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(^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. ------ 29639/1727508. ------ 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.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. ------ 29640/1727562. ------ 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))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 8. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 29641/1727598. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(c ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(c ((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(c ((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(c ((^z.z) a))) 5. ==[ beta ]==> ((^y.a)(c ((^z.z) a))) 6. ==[ alpha ]==> ((^x.a)(c ((^y.y) a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 29642/1727625. ------ 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. ------ 29643/1727643. ------ 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 ((^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. ------ 29644/1727652. ------ 1. ==[ start ]==> (((a b)(^a.a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(^x.x))(a (^z.z))) 4. ==[ alpha ]==> (((a b)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 29645/1727688. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a a)(a b))((^x.(x x)) b)) 3. ==[ beta ]==> (((a a)(a b))(b b)) REDUCED to normal form. ------ 29646/1727715. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.a) c)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.a) c)) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) a) REDUCED to normal form. ------ 29647/1727796. ------ 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. ------ 29648/1727823. ------ 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. ------ 29649/1727841. ------ 1. ==[ start ]==> (((^a.b) b)(c c)) 2. ==[ alpha ]==> (((^x.b) b)(c c)) 3. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 29650/1727850. ------ 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. ------ 29651/1727877. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a a)(^y.(y y)))) 3. ==[ beta ]==> ((a (a a))((a a)(^y.(y y)))) 4. ==[ alpha ]==> ((a (a a))((a a)(^x.(x x)))) REDUCED to normal form. ------ 29652/1727886. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(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)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 29653/1727913. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^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. ------ 29654/1727967. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(^a.a))(^b.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. ------ 29655/1728048. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c (^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (c (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 29656/1728057. ------ 1. ==[ start ]==> (((a b) b)((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b) b)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 29657/1728084. ------ 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. ------ 29658/1728102. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(a (^z.(z z)))) 3. ==[ beta ]==> (((^y.y)(a a))(a (^z.(z z)))) 4. ==[ alpha ]==> (((^x.x)(a a))(a (^y.(y y)))) 5. ==[ beta ]==> ((a a)(a (^y.(y y)))) 6. ==[ alpha ]==> ((a a)(a (^x.(x x)))) REDUCED to normal form. ------ 29659/1728129. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.a)(a a))) 3. ==[ beta ]==> ((^y.y)((^z.a)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a a))) 5. ==[ beta ]==> ((^y.a)(a a)) 6. ==[ alpha ]==> ((^x.a)(a a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 29660/1728138. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(c b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(c b)) REDUCED to normal form. ------ 29661/1728183. ------ 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)((^y1.y1) a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.x1)((^y1.y1) 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. ------ 29662/1728246. ------ 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. ------ 29663/1728264. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (b ((^z.z)(^x1.a))) 4. ==[ alpha ]==> (b ((^x.x)(^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 29664/1728273. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a ((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 29665/1728300. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a (^z.z))(a a))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(a a))) REDUCED to normal form. ------ 29666/1728363. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 29667/1728390. ------ 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. ------ 29668/1728417. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a (^z.z)) a)) 3. ==[ beta ]==> (((a (a a))(^y.y))((a (^z.z)) a)) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 29669/1728444. ------ 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. ------ 29670/1728471. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((((a a) a) 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. ------ 29671/1728489. ------ 1. ==[ start ]==> (((^a.b) c)((a a)(a a))) 2. ==[ alpha ]==> (((^x.b) c)((a a)(a a))) 3. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 29672/1728498. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.a) b)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y) b)) 3. ==[ beta ]==> (((a b)(a (^x.x))) b) REDUCED to normal form. ------ 29673/1728525. ------ 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. ------ 29674/1728552. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a a) a)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a) a)) REDUCED to normal form. ------ 29675/1728588. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(a (^x1.x1))) 3. ==[ beta ]==> ((^y.y)(a (^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 29676/1728663. ------ 1. ==[ start ]==> ((^a.b)(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(^y.((y y)(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 29677/1731768. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^a.b)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.b)) 3. ==[ beta ]==> (((^z.b)(^z.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. ------ 29678/1731807. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a))) c) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a))) c) 3. ==[ beta ]==> ((^y.y) c) 4. ==[ alpha ]==> ((^x.x) c) 5. ==[ beta ]==> c REDUCED to normal form. ------ 29679/1731858. ------ 1. ==[ start ]==> ((^a.(a a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x x))(b ((^y.y)(a a)))) 3. ==[ beta ]==> ((b ((^y.y)(a a)))(b ((^y.y)(a a)))) 4. ==[ alpha ]==> ((b ((^x.x)(a a)))(b ((^y.y)(a a)))) 5. ==[ beta ]==> ((b (a a))(b ((^y.y)(a a)))) 6. ==[ alpha ]==> ((b (a a))(b ((^x.x)(a a)))) 7. ==[ beta ]==> ((b (a a))(b (a a))) REDUCED to normal form. ------ 29680/1731879. ------ 1. ==[ start ]==> (((a a) a)(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 29681/1731885. ------ 1. ==[ start ]==> ((^a.b)(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(a ((a a)(^y.y)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 29682/1731888. ------ 1. ==[ start ]==> ((a b)(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a b)(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 29683/1731921. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 29684/1731966. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)((^z.z) a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)((^x.x) a))(^y.y)) 5. ==[ beta ]==> ((((a a) a) a)(^y.y)) 6. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 29685/1732122. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 29686/1732326. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a a)(^z.(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 29687/1732554. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 29688/1732959. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^b.(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(a z))) 3. ==[ eta ]==> (((a (^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 29689/1733157. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(^a.(a b))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.(y b))) REDUCED to normal form. ------ 29690/1733208. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((((^y.y)(^z.z))(a (^x1.x1)))(((^y.y)(^z.z))(a (^x1.x1))))(((^y.y)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1))))(((^x2.x2)(^y2.y2))(a (^z2.z2)))) 5. ==[ beta ]==> ((((^y.y)(a (^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1))))(((^x2.x2)(^y2.y2))(a (^z2.z2)))) 6. ==[ alpha ]==> ((((^x.x)(a (^y.y)))(((^z.z)(^x1.x1))(a (^y1.y1))))(((^z1.z1)(^x2.x2))(a (^y2.y2)))) 7. ==[ beta ]==> (((a (^y.y))(((^z.z)(^x1.x1))(a (^y1.y1))))(((^z1.z1)(^x2.x2))(a (^y2.y2)))) 8. ==[ alpha ]==> (((a (^x.x))(((^y.y)(^z.z))(a (^x1.x1))))(((^y1.y1)(^z1.z1))(a (^x2.x2)))) 9. ==[ beta ]==> (((a (^x.x))((^z.z)(a (^x1.x1))))(((^y1.y1)(^z1.z1))(a (^x2.x2)))) 10. ==[ alpha ]==> (((a (^x.x))((^y.y)(a (^z.z))))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 11. ==[ beta ]==> (((a (^x.x))(a (^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 12. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 13. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)(a (^y1.y1)))) 14. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(a (^x1.x1)))) 15. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (^x1.x1))) 16. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.z))) REDUCED to normal form. ------ 29691/1733337. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(^x1.b))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.b))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.b))) 5. ==[ beta ]==> (b (^y.(^z.b))) 6. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 29692/1733499. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.((a a) a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.((a a) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 29693/1733541. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 29694/1733670. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(^x1.((x1 x1) x1))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(^x1.((x1 x1) x1))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.((z z) z))) 5. ==[ beta ]==> ((a (^y.y))(^z.((z z) z))) 6. ==[ alpha ]==> ((a (^x.x))(^y.((y y) y))) REDUCED to normal form. ------ 29695/1733721. ------ 1. ==[ start ]==> ((^a.(a b))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((a (a a))(a (^y.y)))) 3. ==[ beta ]==> (((a (a a))(a (^y.y))) b) 4. ==[ alpha ]==> (((a (a a))(a (^x.x))) b) REDUCED to normal form. ------ 29696/1734093. ------ 1. ==[ start ]==> (((a b)(^a.a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 29697/1734108. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1)) a)((^z.(^x1.x1)) a))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z)) a)((^x1.(^y1.y1)) a))) 5. ==[ beta ]==> (^x.((^z.z)((^x1.(^y1.y1)) a))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1)) a))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1)) a)) 8. ==[ alpha ]==> (^x.((^y.(^z.z)) a)) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 29698/1734327. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(a a))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(^z.(z z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 29699/1734552. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 29700/1734633. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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)))(^z.a)) REDUCED to normal form. ------ 29701/1734705. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^c.c)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.z)) 3. ==[ beta ]==> (b (^z.z)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 29702/1734714. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 29703/1734912. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(^y.(y (^z.z)))) 3. ==[ beta ]==> ((((a a) a) a)(^y.(y (^z.z)))) 4. ==[ alpha ]==> ((((a a) a) a)(^x.(x (^y.y)))) REDUCED to normal form. ------ 29704/1734930. ------ 1. ==[ start ]==> (((^a.b) c)(^d.(^a.a))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(^z.z))) 3. ==[ beta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 29705/1734939. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^c.(a a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(a a))) REDUCED to normal form. ------ 29706/1734990. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(a b)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(a b)) 3. ==[ beta ]==> (((a b)(a b))(^y.y)) 4. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 29707/1734993. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^a.b)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.b)) REDUCED to normal form. ------ 29708/1735029. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^b.a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^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. ------ 29709/1735077. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (a ((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 29710/1735086. ------ 1. ==[ start ]==> ((a (a a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a a))(b ((^x.x)(a a)))) 3. ==[ beta ]==> ((a (a a))(b (a a))) REDUCED to normal form. ------ 29711/1735113. ------ 1. ==[ start ]==> ((a b)(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a b)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 29712/1735149. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a)) b)) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 29713/1735167. ------ 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. ------ 29714/1735194. ------ 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. ------ 29715/1735329. ------ 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)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((a a)(a a))) REDUCED to normal form. ------ 29716/1735347. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(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. ------ 29717/1735392. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.a)((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 29718/1735419. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((a a) a)(^b.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. ------ 29719/1735428. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 29720/1735455. ------ 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)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 29721/1735473. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a (a a))(^b.(^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. ------ 29722/1735482. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.a))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.a))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.a))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.z))) 9. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 10. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 29723/1735509. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.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. ------ 29724/1735536. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 29725/1735554. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a a)(^y.(a a)))) REDUCED to normal form. ------ 29726/1735725. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.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. ------ 29727/1735752. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(^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. ------ 29728/1735779. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.(a a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(a a))) REDUCED to normal form. ------ 29729/1735797. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 29730/1735896. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 29731/1735923. ------ 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)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) 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. ------ 29732/1735950. ------ 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))) REDUCED to normal form. ------ 29733/1735968. ------ 1. ==[ start ]==> (((^a.(a a)) b)(b (^a.b))) 2. ==[ alpha ]==> (((^x.(x x)) b)(b (^y.b))) 3. ==[ beta ]==> ((b b)(b (^y.b))) 4. ==[ alpha ]==> ((b b)(b (^x.b))) REDUCED to normal form. ------ 29734/1735977. ------ 1. ==[ start ]==> (((a (a a))(a a))((a a)(a b))) REDUCED to normal form. ------ 29735/1736013. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)(^x1.x1))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(^x1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 29736/1736040. ------ 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. ------ 29737/1736094. ------ 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.(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. ------ 29738/1736103. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(x x))(a (a a)))) 3. ==[ beta ]==> (((a (a a)) b)((a (a a))(a (a a)))) REDUCED to normal form. ------ 29739/1736130. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (a ((^y.a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.a)((^y.y)(^z.z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 29740/1736157. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 29741/1736175. ------ 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)(^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. ------ 29742/1736184. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a b)) REDUCED to normal form. ------ 29743/1736211. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.b)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.a))((^z.b)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))((^y.b)(^z.z))) 5. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 29744/1736229. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((a a) a) b)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((a a) a) b)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a) a) b)) REDUCED to normal form. ------ 29745/1736265. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 29746/1736355. ------ 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))) 5. ==[ beta ]==> ((a a)(b ((a a) a))) REDUCED to normal form. ------ 29747/1736382. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(a (a b))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(a (a b))) REDUCED to normal form. ------ 29748/1736409. ------ 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. ------ 29749/1736436. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(^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. ------ 29750/1736562. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(a (^z.b))) 3. ==[ beta ]==> (((^y.y) b)(a (^z.b))) 4. ==[ alpha ]==> (((^x.x) b)(a (^y.b))) 5. ==[ beta ]==> (b (a (^y.b))) 6. ==[ alpha ]==> (b (a (^x.b))) REDUCED to normal form. ------ 29751/1736607. ------ 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.(^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. ------ 29752/1736634. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a (a a))(^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. ------ 29753/1736643. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(((^y1.y1) a)((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) a)((^y1.y1) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a ((^y1.y1) a))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a ((^x1.x1) a))) 7. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 29754/1736670. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.a)(a (a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.a)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)(a (a a)))) 5. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 29755/1736688. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a (^z.z))(^x1.(^y1.y1)))) 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)))) 7. ==[ beta ]==> ((a a)((a (^y.y))(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a a)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 29756/1736697. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 29757/1736724. ------ 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)((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. ------ 29758/1736769. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> ((a (^x.b))((^z.z) b)) 4. ==[ alpha ]==> ((a (^x.b))((^y.y) b)) 5. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 29759/1736868. ------ 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)) 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. ------ 29760/1736895. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(a ((a a) a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(a ((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(a ((a a) a))) 5. ==[ beta ]==> ((a (^y.y))(a ((a a) a))) 6. ==[ alpha ]==> ((a (^x.x))(a ((a a) a))) REDUCED to normal form. ------ 29761/1736922. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x)(^y.y))(a a))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.y)(a a))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)(a a))) 5. ==[ beta ]==> ((((a a) a)(a a))(a a)) REDUCED to normal form. ------ 29762/1736949. ------ 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. ------ 29763/1736958. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(z z)) c)) 3. ==[ beta ]==> ((^y.b)((^z.(z z)) c)) 4. ==[ alpha ]==> ((^x.b)((^y.(y y)) c)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 29764/1737102. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(x x))(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a) b)((a (^y.y))(a (^y.y)))) 4. ==[ alpha ]==> ((((a a) a) b)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 29765/1737120. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (b (((^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. ------ 29766/1737129. ------ 1. ==[ start ]==> (((a b) a)((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b) a)((^x.a)((^y.y) a))) 3. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 29767/1737147. ------ 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)))) REDUCED to normal form. ------ 29768/1737156. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(^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. ------ 29769/1737174. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a 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. ------ 29770/1737210. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 29771/1737228. ------ 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 a)) b)) REDUCED to normal form. ------ 29772/1737237. ------ 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))(^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. ------ 29773/1737264. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.a)(^b.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. ------ 29774/1737291. ------ 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. ------ 29775/1737318. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 29776/1737336. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 29777/1737354. ------ 1. ==[ start ]==> (((a a)(a b))((a (a a))(a a))) REDUCED to normal form. ------ 29778/1737381. ------ 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 (^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. ------ 29779/1737408. ------ 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 (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((^z.z) a))) 7. ==[ beta ]==> ((a (^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 29780/1737435. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a a)(a (a a)))) REDUCED to normal form. ------ 29781/1737507. ------ 1. ==[ start ]==> (((^a.b) b)((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (b ((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> (b ((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 29782/1737516. ------ 1. ==[ start ]==> (((a b)(a a))(c c)) REDUCED to normal form. ------ 29783/1737552. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a a)(^z.(z z)))) 3. ==[ beta ]==> ((^y.(a a))((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((^x.(a a))((a a)(^y.(y y)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 29784/1737579. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 29785/1737633. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.x1)) c)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1)) c)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1)) c)) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1)) c)) 6. ==[ alpha ]==> ((^x.x)((a (^y.y)) c)) 7. ==[ beta ]==> ((a (^y.y)) c) 8. ==[ alpha ]==> ((a (^x.x)) c) REDUCED to normal form. ------ 29786/1737714. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a) b)) 3. ==[ beta ]==> (b ((^x1.a) b)) 4. ==[ alpha ]==> (b ((^x.a) b)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 29787/1737723. ------ 1. ==[ start ]==> (((a b) b)(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(c (^x.(^y.y)))) REDUCED to normal form. ------ 29788/1737750. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(b (^y.a))) 3. ==[ beta ]==> (((a a) a)(b (^y.a))) 4. ==[ alpha ]==> (((a a) a)(b (^x.a))) REDUCED to normal form. ------ 29789/1737777. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(a (^y.(y y)))) REDUCED to normal form. ------ 29790/1737795. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^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. ------ 29791/1737804. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 29792/1737849. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a a)(^x1.a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a a)(^x1.a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a a)(^y1.a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a a)(^y1.a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a)(^x1.a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a a)(^x1.a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.a))) 9. ==[ beta ]==> ((^y.y)((a a)(^z.a))) 10. ==[ alpha ]==> ((^x.x)((a a)(^y.a))) 11. ==[ beta ]==> ((a a)(^y.a)) 12. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 29793/1737858. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 29794/1737885. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)(^x1.x1))) 5. ==[ beta ]==> ((^y.(y y))((^z.a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))((^y.a)(^z.z))) 7. ==[ beta ]==> (((^y.a)(^z.z))((^y.a)(^z.z))) 8. ==[ alpha ]==> (((^x.a)(^y.y))((^z.a)(^x1.x1))) 9. ==[ beta ]==> (a ((^z.a)(^x1.x1))) 10. ==[ alpha ]==> (a ((^x.a)(^y.y))) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 29795/1737912. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(^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. ------ 29796/1737930. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a a) c)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a a) c)) 3. ==[ beta ]==> (b ((a a) c)) REDUCED to normal form. ------ 29797/1737939. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.a)(^b.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. ------ 29798/1738002. ------ 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)))) 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. ------ 29799/1738029. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(c a)) 2. ==[ alpha ]==> (((a (^x.x))(a b))(c a)) REDUCED to normal form. ------ 29800/1738056. ------ 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. ------ 29801/1738110. ------ 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. ------ 29802/1738137. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(a (a (^y.y)))) 3. ==[ beta ]==> ((((a a) a) a)(a (a (^y.y)))) 4. ==[ alpha ]==> ((((a a) a) a)(a (a (^x.x)))) REDUCED to normal form. ------ 29803/1738155. ------ 1. ==[ start ]==> (((^a.b) c)(b (^a.a))) 2. ==[ alpha ]==> (((^x.b) c)(b (^y.y))) 3. ==[ beta ]==> (b (b (^y.y))) 4. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 29804/1738164. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a a)(a a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a a)(a a))) REDUCED to normal form. ------ 29805/1738191. ------ 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. ------ 29806/1738218. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(a b)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(a b)) REDUCED to normal form. ------ 29807/1738254. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.x1) a)) 3. ==[ beta ]==> ((^y.y)((^x1.x1) a)) 4. ==[ alpha ]==> ((^x.x)((^y.y) a)) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 29808/1738280. ------ 1. ==[ start ]==> (^a.((^b.a)(^a.b))) 2. ==[ alpha ]==> (^x.((^y.x)(^z.b))) 3. ==[ beta ]==> (^x.x) REDUCED to normal form. ------ 29809/1738281. ------ 1. ==[ start ]==> (a ((^b.a)(^a.b))) 2. ==[ alpha ]==> (a ((^x.a)(^y.b))) 3. ==[ beta ]==> (a a) REDUCED to normal form. ------ 29810/1738338. ------ 1. ==[ start ]==> ((^a.b)(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 29811/1739229. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.(^y1.(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. ------ 29812/1740561. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.((^z.((^x1.x1)(^y1.y1)))(^z.((^x1.x1)(^y1.y1))))) 4. ==[ alpha ]==> (^x.((^y.((^z.z)(^x1.x1)))(^y1.((^z1.z1)(^x2.x2))))) 5. ==[ beta ]==> (^x.((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 29813/1741443. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.(a a))) 3. ==[ beta ]==> (((^z.(a a))(^z.(a a)))(^y.y)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.z)) 5. ==[ beta ]==> ((a a)(^z.z)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 29814/1741515. ------ 1. ==[ start ]==> ((^a.a)((^b.a)(^a.b))) 2. ==[ alpha ]==> ((^x.x)((^y.a)(^z.b))) 3. ==[ beta ]==> ((^y.a)(^z.b)) 4. ==[ alpha ]==> ((^x.a)(^y.b)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 29815/1741542. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((^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)))) 5. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(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. ------ 29816/1741569. ------ 1. ==[ start ]==> ((^a.b)((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 29817/1741572. ------ 1. ==[ start ]==> ((a b)(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 29818/1741581. ------ 1. ==[ start ]==> (((^a.a)(a a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.((y y)(^z.z)))) 3. ==[ beta ]==> ((a a)(^y.((y y)(^z.z)))) 4. ==[ alpha ]==> ((a a)(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 29819/1741605. ------ 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. ------ 29820/1741767. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (^z.z))(a b))) 3. ==[ beta ]==> (^y.((a (^z.z))(a b))) 4. ==[ alpha ]==> (^x.((a (^y.y))(a b))) REDUCED to normal form. ------ 29821/1741839. ------ 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)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 29822/1742031. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a a) a)(^y.((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a) a)(^x.((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) a)(^x.(a a))) REDUCED to normal form. ------ 29823/1742256. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^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. ------ 29824/1742334. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 29825/1742460. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(a (^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. ------ 29826/1742463. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(^x1.(z z)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(y y)))) REDUCED to normal form. ------ 29827/1742841. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.(^z.y))) REDUCED to normal form. ------ 29828/1743354. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(^x1.(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(^x1.a))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.a))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 29829/1743792. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^y.((a ((^z.z)(^x1.x1)))(a ((^z.z)(^x1.x1))))) 4. ==[ alpha ]==> (^x.((a ((^y.y)(^z.z)))(a ((^x1.x1)(^y1.y1))))) 5. ==[ beta ]==> (^x.((a (^z.z))(a ((^x1.x1)(^y1.y1))))) 6. ==[ alpha ]==> (^x.((a (^y.y))(a ((^z.z)(^x1.x1))))) 7. ==[ beta ]==> (^x.((a (^y.y))(a (^x1.x1)))) 8. ==[ alpha ]==> (^x.((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 29830/1743795. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(a a)))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 29831/1743921. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^a.(^b.(^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. ------ 29832/1743999. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))((^y1.y1) a))((^z.(^x1.x1))((^y1.y1) a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))((^x1.x1) a))((^y1.(^z1.z1))((^x2.x2) a)))) 5. ==[ beta ]==> (((^y.(^z.z))((^x1.x1) a))((^y1.(^z1.z1))((^x2.x2) a))) 6. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1))((^z1.z1) a))) 7. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1) a))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 9. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 10. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 29833/1744317. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^c.(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 29834/1744398. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^c.c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 29835/1744488. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.y))) REDUCED to normal form. ------ 29836/1744542. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(a (^z.z)))) REDUCED to normal form. ------ 29837/1744596. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^b.(^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. ------ 29838/1744650. ------ 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. ------ 29839/1744674. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.z)(a a))) 3. ==[ beta ]==> ((((^z.z)(a a))((^z.z)(a a)))(^y.y)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.z)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.z)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.y)) 7. ==[ beta ]==> (((a a)(a a))(^y.y)) 8. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 29840/1744677. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(a a))) REDUCED to normal form. ------ 29841/1744713. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^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. ------ 29842/1744752. ------ 1. ==[ start ]==> ((a a)((^b.a)(^a.b))) 2. ==[ alpha ]==> ((a a)((^x.a)(^y.b))) 3. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 29843/1744779. ------ 1. ==[ start ]==> ((a (a a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 29844/1744788. ------ 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. ------ 29845/1744806. ------ 1. ==[ start ]==> ((a b)((^a.a)(^c.(^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. ------ 29846/1744815. ------ 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. ------ 29847/1744842. ------ 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. ------ 29848/1744851. ------ 1. ==[ start ]==> (((^a.a) b)((^b.(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 a)) REDUCED to normal form. ------ 29849/1744878. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.b) c)) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.b) c)) 3. ==[ beta ]==> ((^y.y)((^z.b) c)) 4. ==[ alpha ]==> ((^x.x)((^y.b) c)) 5. ==[ beta ]==> ((^y.b) c) 6. ==[ alpha ]==> ((^x.b) c) 7. ==[ beta ]==> b REDUCED to normal form. ------ 29850/1744896. ------ 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 ]==> ((^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. ------ 29851/1744905. ------ 1. ==[ start ]==> (((a a) b)((^c.a) d)) 2. ==[ alpha ]==> (((a a) b)((^x.a) d)) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 29852/1744923. ------ 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))(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. ------ 29853/1744950. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((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. ------ 29854/1744977. ------ 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. ------ 29855/1745004. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.y))(a b))) REDUCED to normal form. ------ 29856/1745022. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(b (^y.(a a)))) REDUCED to normal form. ------ 29857/1745076. ------ 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))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 29858/1745121. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((a a) a)(^y.a))) REDUCED to normal form. ------ 29859/1745148. ------ 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)))) 7. ==[ beta ]==> ((a a)(^y.(y y))) 8. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 29860/1745175. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 29861/1745229. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 29862/1745265. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^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. ------ 29863/1745292. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 29864/1745319. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.b)(^a.(^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. ------ 29865/1745463. ------ 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. ------ 29866/1745490. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(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. ------ 29867/1745499. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.(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. ------ 29868/1745526. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.b) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.b) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b) b)) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 29869/1745544. ------ 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 (^y.y)))) 4. ==[ alpha ]==> (((a a)(a a))(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 29870/1745571. ------ 1. ==[ start ]==> ((a (^b.(^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)))((^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. ------ 29871/1745670. ------ 1. ==[ start ]==> (((a (a a))(a a))(b (^a.b))) 2. ==[ alpha ]==> (((a (a a))(a a))(b (^x.b))) REDUCED to normal form. ------ 29872/1745697. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(a (^z.(a a)))) 3. ==[ beta ]==> ((a (^y.y))(a (^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.(a a)))) REDUCED to normal form. ------ 29873/1745796. ------ 1. ==[ start ]==> (((a (a a)) b)((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 29874/1745823. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a) a)(^b.(^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. ------ 29875/1745850. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 29876/1745877. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a a)(^z.b))) REDUCED to normal form. ------ 29877/1745904. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a b) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a b) a)) 3. ==[ beta ]==> ((a (^y.a))((a b) a)) 4. ==[ alpha ]==> ((a (^x.a))((a b) a)) REDUCED to normal form. ------ 29878/1745931. ------ 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. ------ 29879/1745994. ------ 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))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.(z z))(^z.(z z)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 29880/1746021. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.a)(^b.(^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. ------ 29881/1746075. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.y)(^z.b))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(^z.b)) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.b)) REDUCED to normal form. ------ 29882/1746165. ------ 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.y1) a))) 3. ==[ beta ]==> ((^y.y)((a (a a))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y) a))) 5. ==[ beta ]==> ((a (a a))((^y.y) a)) 6. ==[ alpha ]==> ((a (a a))((^x.x) a)) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 29883/1746219. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (a ((a (^z.z))((^x1.x1)(^y1.y1)))) 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. ------ 29884/1746282. ------ 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. ------ 29885/1746336. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (a a))(^x1.a))) REDUCED to normal form. ------ 29886/1746363. ------ 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.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.(x x)))(a (^z.(z z)))) 6. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.(y y)))) REDUCED to normal form. ------ 29887/1746390. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 29888/1746444. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((a a) a) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a) a) a)) REDUCED to normal form. ------ 29889/1746480. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.(^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. ------ 29890/1746507. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.a)(^x1.a))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(^x1.a))) 7. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 29891/1746534. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.a)(^y.(y y)))) 5. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 29892/1746561. ------ 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.(^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. ------ 29893/1746633. ------ 1. ==[ start ]==> (((^a.b) a)((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b) 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. ------ 29894/1746651. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (a a))(a (^z.z)))) 3. ==[ beta ]==> ((^y.b)((a (a a))(a (^z.z)))) 4. ==[ alpha ]==> ((^x.b)((a (a a))(a (^y.y)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 29895/1746732. ------ 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.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a)((^z.z)(^x1.x1)))) IRREDUCIBLE: cycle. ------ 29896/1746795. ------ 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. ------ 29897/1746822. ------ 1. ==[ start ]==> (((a b) a)(((^a.a) a)(^b.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. ------ 29898/1746840. ------ 1. ==[ start ]==> (((^a.a)(a b))(c d)) 2. ==[ alpha ]==> (((^x.x)(a b))(c d)) 3. ==[ beta ]==> ((a b)(c d)) REDUCED to normal form. ------ 29899/1746849. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 29900/1746903. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 29901/1746930. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a (a a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a (a a)) b)) REDUCED to normal form. ------ 29902/1746957. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a) a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1) a) c)) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1) a) c)) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a) c)) 5. ==[ beta ]==> ((^y.a)(((^z.z) a) c)) 6. ==[ alpha ]==> ((^x.a)(((^y.y) a) c)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 29903/1747002. ------ 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. ------ 29904/1747029. ------ 1. ==[ start ]==> ((a (^b.(a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (^x.(a a)))(a (^z.z))) 4. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.y))) REDUCED to normal form. ------ 29905/1747128. ------ 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. ------ 29906/1747155. ------ 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. ------ 29907/1747182. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(y y))(a a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((a a)(a a))) REDUCED to normal form. ------ 29908/1747200. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 29909/1747209. ------ 1. ==[ start ]==> (((a b)(a a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.a)(a (^y.y)))) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 29910/1747236. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 29911/1747326. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(c (a (^x1.x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(c (a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c (a (^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(c (a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(c (a (^y.y)))) 7. ==[ beta ]==> (c (a (^y.y))) 8. ==[ alpha ]==> (c (a (^x.x))) REDUCED to normal form. ------ 29912/1747407. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 29913/1747416. ------ 1. ==[ start ]==> (((a b) b)((^b.a) b)) 2. ==[ alpha ]==> (((a b) b)((^x.a) b)) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 29914/1747461. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a a)((^z.z) a))) 3. ==[ beta ]==> (((^y.y)(a a))((a a)((^z.z) a))) 4. ==[ alpha ]==> (((^x.x)(a a))((a a)((^y.y) a))) 5. ==[ beta ]==> ((a a)((a a)((^y.y) a))) 6. ==[ alpha ]==> ((a a)((a a)((^x.x) a))) 7. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 29915/1747497. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(a (^z.z))) REDUCED to normal form. ------ 29916/1747542. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(b c)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(b c)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(b c)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b c)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b c)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b c)) 7. ==[ beta ]==> (((^y.y)(^z.z))(b c)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(b c)) 9. ==[ beta ]==> ((^y.y)(b c)) 10. ==[ alpha ]==> ((^x.x)(b c)) 11. ==[ beta ]==> (b c) REDUCED to normal form. ------ 29917/1747551. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 29918/1747578. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1) a) a)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1) a) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) a) a)) 5. ==[ beta ]==> ((^y.(y y))(((^z.z) a) a)) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y) a) a)) 7. ==[ beta ]==> ((((^y.y) a) a)(((^y.y) a) a)) 8. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y) a) a)) 9. ==[ beta ]==> ((a a)(((^y.y) a) a)) 10. ==[ alpha ]==> ((a a)(((^x.x) a) a)) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 29919/1747605. ------ 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. ------ 29920/1747623. ------ 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. ------ 29921/1747632. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a a) c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a) c)) REDUCED to normal form. ------ 29922/1747659. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.a) a)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a) a)) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 29923/1747695. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(b (^a.(^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. ------ 29924/1747722. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(a (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(a (^y.a))) REDUCED to normal form. ------ 29925/1747749. ------ 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. ------ 29926/1747776. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(a (^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. ------ 29927/1747803. ------ 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))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 29928/1747830. ------ 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)))) 5. ==[ beta ]==> ((((a a) a) a)(^y.(^z.z))) 6. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.y))) REDUCED to normal form. ------ 29929/1747848. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(^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. ------ 29930/1747857. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(b (^a.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(b (^y.y))) REDUCED to normal form. ------ 29931/1747884. ------ 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. ------ 29932/1747911. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(a a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 29933/1747947. ------ 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)(a (a a))) 4. ==[ alpha ]==> ((^x.x)(a (a a))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 29934/1750263. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (^x.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 29935/1751235. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 29936/1751292. ------ 1. ==[ start ]==> (((^a.a)(a a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 29937/1751301. ------ 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. ------ 29938/1751361. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.b) c)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.b) c)) 3. ==[ beta ]==> (((^z.b) c)(^y.y)) 4. ==[ alpha ]==> (((^x.b) c)(^y.y)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 29939/1751478. ------ 1. ==[ start ]==> ((^a.(^b.a))(c (^a.b))) 2. ==[ alpha ]==> ((^x.(^y.x))(c (^z.b))) 3. ==[ beta ]==> (^y.(c (^z.b))) 4. ==[ alpha ]==> (^x.(c (^y.b))) REDUCED to normal form. ------ 29940/1751517. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(^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 ]==> (^x.(a a)) REDUCED to normal form. ------ 29941/1751550. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z)(a a))(^x1.x1))) 3. ==[ eta ]==> ((^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. ------ 29942/1751721. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 29943/1751967. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^b.(^b.(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. ------ 29944/1751976. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^z.(z z))) REDUCED to normal form. ------ 29945/1752183. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^a.(^b.(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. ------ 29946/1752732. ------ 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. ------ 29947/1752936. ------ 1. ==[ start ]==> ((^a.(^a.b))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 29948/1753116. ------ 1. ==[ start ]==> ((^a.(a b))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((^y.(^z.z)) b) b) 4. ==[ alpha ]==> (((^x.(^y.y)) b) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 29949/1753503. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(((^z.z)(^x1.(^y1.y1)))((^z.z)(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.(((^y.y)(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.x2))))) 5. ==[ beta ]==> (^x.((^z.(^x1.x1))((^y1.y1)(^z1.(^x2.x2))))) 6. ==[ alpha ]==> (^x.((^y.(^z.z))((^x1.x1)(^y1.(^z1.z1))))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 29950/1753506. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 29951/1753710. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((^y.y)(((a (^z.z))(^x1.a))((a (^z.z))(^x1.a)))) 4. ==[ alpha ]==> ((^x.x)(((a (^y.y))(^z.a))((a (^x1.x1))(^y1.a)))) 5. ==[ beta ]==> (((a (^y.y))(^z.a))((a (^x1.x1))(^y1.a))) 6. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 29952/1753749. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.(a (a a)))) 3. ==[ beta ]==> ((^y.y)(^x1.(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (a a)))) 5. ==[ beta ]==> (^y.(a (a a))) 6. ==[ alpha ]==> (^x.(a (a a))) REDUCED to normal form. ------ 29953/1753947. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^y.a)) REDUCED to normal form. ------ 29954/1753965. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^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. ------ 29955/1754136. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^a.((^a.a) a))) 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. ------ 29956/1754199. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^b.c)) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.c)) REDUCED to normal form. ------ 29957/1754325. ------ 1. ==[ start ]==> (((^a.b) c)(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(y (^z.z)))) 3. ==[ beta ]==> (b (^y.(y (^z.z)))) 4. ==[ alpha ]==> (b (^x.(x (^y.y)))) REDUCED to normal form. ------ 29958/1754361. ------ 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. ------ 29959/1754385. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a a)(^z.z))) 3. ==[ beta ]==> ((((a a)(^z.z))((a a)(^z.z)))(^y.y)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 29960/1754424. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 29961/1754481. ------ 1. ==[ start ]==> ((a (^a.a))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.b))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 29962/1754508. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 29963/1754517. ------ 1. ==[ start ]==> (((a a) a)(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a) a)(b ((^x.x)(a a)))) 3. ==[ beta ]==> (((a a) a)(b (a a))) REDUCED to normal form. ------ 29964/1754544. ------ 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. ------ 29965/1754571. ------ 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. ------ 29966/1754580. ------ 1. ==[ start ]==> (((a a)(a a))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a a)(a a))((^x.(a a)) b)) 3. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 29967/1754598. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a b)(a (^z.z)))) 3. ==[ beta ]==> ((^y.y)((a b)(a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)((a b)(a (^y.y)))) 5. ==[ beta ]==> ((a b)(a (^y.y))) 6. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 29968/1754607. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.b) c)) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.b) c)) 3. ==[ beta ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 29969/1754625. ------ 1. ==[ start ]==> (((a a) b)(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a a) b)(((a a) a)((^x.x) a))) 3. ==[ beta ]==> (((a a) b)(((a a) a) a)) REDUCED to normal form. ------ 29970/1754652. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(a (a a)))) 5. ==[ beta ]==> (((a (^x.x)) a)(a (a a))) REDUCED to normal form. ------ 29971/1754679. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a (a a))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))(^z.z))) REDUCED to normal form. ------ 29972/1754706. ------ 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. ------ 29973/1754724. ------ 1. ==[ start ]==> ((a (^b.a))(c (^a.b))) 2. ==[ alpha ]==> ((a (^x.a))(c (^y.b))) REDUCED to normal form. ------ 29974/1754760. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a a)((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)((^y.y)(a a))) 6. ==[ alpha ]==> ((a a)((^x.x)(a a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 29975/1754796. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x) 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))) 5. ==[ beta ]==> ((a a)((a a)(^y.y))) 6. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 29976/1754805. ------ 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. ------ 29977/1754832. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.b)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a (^z.z)))) 5. ==[ beta ]==> ((^y.b)(a (^z.z))) 6. ==[ alpha ]==> ((^x.b)(a (^y.y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 29978/1754886. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> (a ((^y.(^z.z))(a (a a)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(a (a a)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 29979/1754913. ------ 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))((^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. ------ 29980/1754967. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 29981/1754985. ------ 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) a)((a a)(^y.(a a)))) 4. ==[ alpha ]==> (((a a) a)((a a)(^x.(a a)))) REDUCED to normal form. ------ 29982/1755012. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(a a)) a)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a) a)) REDUCED to normal form. ------ 29983/1755039. ------ 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. ------ 29984/1755102. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.(^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. ------ 29985/1755156. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((^y.y)((^z.a)(^x1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 7. ==[ beta ]==> ((^y.a)(^z.a)) 8. ==[ alpha ]==> ((^x.a)(^y.a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 29986/1755183. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(^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. ------ 29987/1755192. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(b (a b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(b (a b))) REDUCED to normal form. ------ 29988/1755210. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 29989/1755219. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a (a a))) REDUCED to normal form. ------ 29990/1755246. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a b)(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a b)(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(a a))) REDUCED to normal form. ------ 29991/1755273. ------ 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. ------ 29992/1755381. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (^y.y))((a a) a))) 3. ==[ beta ]==> ((b b)((a (^y.y))((a a) a))) 4. ==[ alpha ]==> ((b b)((a (^x.x))((a a) a))) REDUCED to normal form. ------ 29993/1755426. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (^x1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 29994/1755453. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 29995/1755507. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2) a))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((^x2.x2) a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 29996/1755561. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.a)((^x1.x1)(^y1.y1)))) 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. ------ 29997/1755588. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 29998/1755642. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.b)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.b)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 29999/1755822. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.b) a)) 3. ==[ beta ]==> (((^y.y)(a a))((^z.b) a)) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.b) a)) 5. ==[ beta ]==> ((a a)((^y.b) a)) 6. ==[ alpha ]==> ((a a)((^x.b) a)) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 30000/1755939. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(c (^z.(^x1.x1)))) 5. ==[ beta ]==> (a (c (^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (c (^x.(^y.y)))) REDUCED to normal form. ------ 30001/1755975. ------ 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. ------ 30002/1756047. ------ 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.(^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. ------ 30003/1756101. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.a)(a (a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.a)(a (a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)(a (a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.a)(a (a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(a (a a)))) 7. ==[ beta ]==> ((a a)((^y.a)(a (a a)))) 8. ==[ alpha ]==> ((a a)((^x.a)(a (a a)))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 30004/1756182. ------ 1. ==[ start ]==> ((a (^a.b))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.a)(^z.z))) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 30005/1756200. ------ 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. ------ 30006/1756353. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 30007/1756362. ------ 1. ==[ start ]==> ((a (a b))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y)) b)) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 30008/1756452. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b (^z.(^x1.x1)))) IRREDUCIBLE: cycle. ------ 30009/1756533. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (b ((^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. ------ 30010/1756560. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 30011/1756569. ------ 1. ==[ start ]==> (((a a)(^a.b))(c d)) 2. ==[ alpha ]==> (((a a)(^x.b))(c d)) REDUCED to normal form. ------ 30012/1756587. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 30013/1756641. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 30014/1756722. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 30015/1756731. ------ 1. ==[ start ]==> (((a b)(^a.a))(b (a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(b (a (a a)))) REDUCED to normal form. ------ 30016/1756749. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 30017/1756767. ------ 1. ==[ start ]==> (((a a)(a b))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 30018/1756794. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(y y)) b)) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(b b)) REDUCED to normal form. ------ 30019/1756821. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.a) c)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.a) c)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a) c)) 5. ==[ beta ]==> ((a (^y.y))((^z.a) c)) 6. ==[ alpha ]==> ((a (^x.x))((^y.a) c)) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 30020/1756902. ------ 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. ------ 30021/1756929. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x) 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. ------ 30022/1756956. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x)(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))) REDUCED to normal form. ------ 30023/1756965. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 30024/1756992. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a (a a)))) 5. ==[ beta ]==> ((^y.y)(a (a a))) 6. ==[ alpha ]==> ((^x.x)(a (a a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 30025/1757046. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.a)(^a.(^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. ------ 30026/1757136. ------ 1. ==[ start ]==> (((a b) b)(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a b) b)(((^x.x) a)(a a))) 3. ==[ beta ]==> (((a b) b)(a (a a))) REDUCED to normal form. ------ 30027/1757163. ------ 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)))) REDUCED to normal form. ------ 30028/1757181. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(b (^b.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. ------ 30029/1757190. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)((^y.y) a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((a a) a)) REDUCED to normal form. ------ 30030/1757208. ------ 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)(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. ------ 30031/1757262. ------ 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.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(a (^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (^y1.y1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 11. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 12. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 30032/1757271. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(b c)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b c)) REDUCED to normal form. ------ 30033/1757325. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(c (a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(c (a a))) REDUCED to normal form. ------ 30034/1757343. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(^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. ------ 30035/1757352. ------ 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. ------ 30036/1757379. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(a ((^z.z) a))) 3. ==[ beta ]==> (((a a)(^y.y))(a ((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 30037/1757415. ------ 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)) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 30038/1757442. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.a) c)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y) c)) 3. ==[ beta ]==> (((a (^x.x))(a b)) c) REDUCED to normal form. ------ 30039/1757469. ------ 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. ------ 30040/1757496. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 30041/1757523. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a (^z.z)) a)) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a (^z.z)) a)) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a (^y.y)) a)) 5. ==[ beta ]==> ((a (a a))((a (^y.y)) a)) 6. ==[ alpha ]==> ((a (a a))((a (^x.x)) a)) REDUCED to normal form. ------ 30042/1757550. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a a) b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a a) b)) 3. ==[ beta ]==> ((((a a) a) a)((a a) b)) REDUCED to normal form. ------ 30043/1757568. ------ 1. ==[ start ]==> (((^a.b) c)(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(a (a (^y.y)))) 3. ==[ beta ]==> (b (a (a (^y.y)))) 4. ==[ alpha ]==> (b (a (a (^x.x)))) REDUCED to normal form. ------ 30044/1757577. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(^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. ------ 30045/1757604. ------ 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. ------ 30046/1757631. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 30047/1757667. ------ 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)((^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. ------ 30048/1761018. ------ 1. ==[ start ]==> ((^a.b)(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.b)(b ((^y.y)(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 30049/1761039. ------ 1. ==[ start ]==> (((a a)(^a.a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 30050/1761099. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a b)(a (^z.z)))) 3. ==[ beta ]==> (((a b)(a (^z.z)))(^y.y)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 30051/1761459. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 30052/1761714. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 30053/1761783. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.a) c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a) c)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 30054/1761909. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a a)(a b))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 30055/1762119. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(a z))) 3. ==[ eta ]==> ((((^x.x) a)(^y.a)) a) 4. ==[ beta ]==> ((a (^y.a)) a) 5. ==[ alpha ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 30056/1762317. ------ 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))) REDUCED to normal form. ------ 30057/1762341. ------ 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. ------ 30058/1762497. ------ 1. ==[ start ]==> ((((a a) a) a)(^a.(^a.b))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.b))) REDUCED to normal form. ------ 30059/1762659. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^b.((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.((a a) a))) REDUCED to normal form. ------ 30060/1762674. ------ 1. ==[ start ]==> ((^a.(^a.b))(((a a) a) a)) 2. ==[ alpha ]==> ((^x.(^y.b))(((a a) a) a)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 30061/1762830. ------ 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. ------ 30062/1762854. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y)(^z.z))(a a))) 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. ------ 30063/1763118. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 30064/1763262. ------ 1. ==[ start ]==> (((a a)(a b))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a b))(^x.(^z.z))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 30065/1763487. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^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. ------ 30066/1763712. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 30067/1763793. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(y y))(^z.((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.(x x))(^y.((^z.z) a))) 7. ==[ beta ]==> ((^y.((^z.z) a))(^y.((^z.z) a))) 8. ==[ alpha ]==> ((^x.((^y.y) a))(^z.((^x1.x1) a))) 9. ==[ beta ]==> ((^y.y) a) 10. ==[ alpha ]==> ((^x.x) a) 11. ==[ beta ]==> a REDUCED to normal form. ------ 30068/1763874. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 30069/1763937. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(a (^z.z)))) REDUCED to normal form. ------ 30070/1764063. ------ 1. ==[ start ]==> (((^a.b) c)(^b.(^a.(^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. ------ 30071/1764072. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(y (^z.z)))) REDUCED to normal form. ------ 30072/1764123. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(b a)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(b a)) 3. ==[ beta ]==> (((b a)(b a))(^y.y)) 4. ==[ alpha ]==> (((b a)(b a))(^x.x)) REDUCED to normal form. ------ 30073/1764162. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^c.a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^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. ------ 30074/1764237. ------ 1. ==[ start ]==> (((^a.a) a)((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x) a)((^y.a)(^z.b))) 3. ==[ beta ]==> (a ((^y.a)(^z.b))) 4. ==[ alpha ]==> (a ((^x.a)(^y.b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 30075/1764264. ------ 1. ==[ start ]==> (((a a) a)((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 30076/1764273. ------ 1. ==[ start ]==> ((a b)(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a b)(b ((^x.x)(a a)))) 3. ==[ beta ]==> ((a b)(b (a a))) REDUCED to normal form. ------ 30077/1764327. ------ 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. ------ 30078/1764354. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a b)(a (^y.y)))) REDUCED to normal form. ------ 30079/1764363. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 30080/1764489. ------ 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. ------ 30081/1764507. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(b (^z.(a a)))) 3. ==[ beta ]==> ((^y.y)(b (^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 30082/1764516. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a a)(a a))) REDUCED to normal form. ------ 30083/1764552. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.a)(((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> ((^x.a)(((^y.y)(a a))(^z.z))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 30084/1764579. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a b)(^a.(^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. ------ 30085/1764588. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) b) b) REDUCED to normal form. ------ 30086/1764633. ------ 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.(y1 y1)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (a (((^y.y)(^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))(^z.(z z)))) 7. ==[ beta ]==> (a ((^y.y)(^z.(z z)))) 8. ==[ alpha ]==> (a ((^x.x)(^y.(y y)))) 9. ==[ beta ]==> (a (^y.(y y))) 10. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 30087/1764642. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(^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. ------ 30088/1764660. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 30089/1764669. ------ 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))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(((^y1.y1)(^z1.z1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)(^z1.z1))) 8. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.y1))) 9. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 10. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 30090/1764696. ------ 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))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 30091/1764714. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 30092/1764804. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 30093/1764885. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(a a))(^b.(^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. ------ 30094/1764912. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.a)(^y.a))) 3. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 30095/1764939. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 30096/1764966. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.a)(^b.(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. ------ 30097/1765011. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.b) b)) 3. ==[ beta ]==> (((a a)(a a))((^y.b) b)) 4. ==[ alpha ]==> (((a a)(a a))((^x.b) b)) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 30098/1765038. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.a) c)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a) c)) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 30099/1765056. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.y)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)((^y.y) a))) 5. ==[ beta ]==> (((a a)(a (a a)))((^y.y) a)) 6. ==[ alpha ]==> (((a a)(a (a a)))((^x.x) a)) 7. ==[ beta ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 30100/1765083. ------ 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. ------ 30101/1765110. ------ 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 (^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. ------ 30102/1765128. ------ 1. ==[ start ]==> (((^a.(a a)) b)(c (^c.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. ------ 30103/1765137. ------ 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. ------ 30104/1765164. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a a)(a b))) 3. ==[ beta ]==> ((a (^y.y))((a a)(a b))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(a b))) REDUCED to normal form. ------ 30105/1765200. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a b)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((a b)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.y))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 30106/1765254. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^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. ------ 30107/1765263. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.(^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. ------ 30108/1765290. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(a (a a)))) 5. ==[ beta ]==> (a ((^y.(y y))(a (a a)))) 6. ==[ alpha ]==> (a ((^x.(x x))(a (a a)))) 7. ==[ beta ]==> (a ((a (a a))(a (a a)))) REDUCED to normal form. ------ 30109/1765308. ------ 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)(^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. ------ 30110/1765317. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 30111/1765344. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 30112/1765371. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.z)(a b))) 3. ==[ beta ]==> ((a (^y.a))((^z.z)(a b))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)(a b))) 5. ==[ beta ]==> ((a (^x.a))(a b)) REDUCED to normal form. ------ 30113/1765389. ------ 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 (^y.y))(a (^y.y)))((a b) a)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a b) a)) REDUCED to normal form. ------ 30114/1765398. ------ 1. ==[ start ]==> (((a (a a))(^a.(^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. ------ 30115/1765542. ------ 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. ------ 30116/1765569. ------ 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. ------ 30117/1765596. ------ 1. ==[ start ]==> ((a ((a a) a))(((a a) a)(a a))) REDUCED to normal form. ------ 30118/1765632. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1)) c)) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1)) 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. ------ 30119/1765722. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(b (^c.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. ------ 30120/1765749. ------ 1. ==[ start ]==> ((((a a) a) a)(a (^a.b))) 2. ==[ alpha ]==> ((((a a) a) a)(a (^x.b))) REDUCED to normal form. ------ 30121/1765767. ------ 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. ------ 30122/1765794. ------ 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))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 30123/1765803. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 30124/1765830. ------ 1. ==[ start ]==> ((((^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))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(x x)))(((^z.z) a)((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> ((a (^x.(x x)))(a ((^z.z) a))) 8. ==[ alpha ]==> ((a (^x.(x x)))(a ((^y.y) a))) 9. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 30125/1765848. ------ 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.(x1 x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)(^z.(z z)))) 7. ==[ beta ]==> ((a a)(((^y.y) a)(^z.(z z)))) 8. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.(y y)))) 9. ==[ beta ]==> ((a a)(a (^y.(y y)))) 10. ==[ alpha ]==> ((a a)(a (^x.(x x)))) REDUCED to normal form. ------ 30126/1765857. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.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. ------ 30127/1765884. ------ 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.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. ------ 30128/1765911. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((a a) a)) REDUCED to normal form. ------ 30129/1765929. ------ 1. ==[ start ]==> ((a (^a.b))(((a a) a) a)) 2. ==[ alpha ]==> ((a (^x.b))(((a a) a) a)) REDUCED to normal form. ------ 30130/1766055. ------ 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.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(b ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(b ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(b ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(b ((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (^x.x))(b (^z.z))) 8. ==[ alpha ]==> ((a (^x.x))(b (^y.y))) REDUCED to normal form. ------ 30131/1766082. ------ 1. ==[ start ]==> ((((a a) a)(a a))(a ((a a) a))) REDUCED to normal form. ------ 30132/1766109. ------ 1. ==[ start ]==> ((a (a b))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((a (a b))(((^x.x)(^y.y))(a a))) 3. ==[ beta ]==> ((a (a b))((^y.y)(a a))) 4. ==[ alpha ]==> ((a (a b))((^x.x)(a a))) 5. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 30133/1766118. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z)) b)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 30134/1766262. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y))(a a))) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 30135/1766280. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 30136/1766289. ------ 1. ==[ start ]==> (((a b) a)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b) a)((^x.(x x))(a (^y.y)))) 3. ==[ beta ]==> (((a b) a)((a (^y.y))(a (^y.y)))) 4. ==[ alpha ]==> (((a b) a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 30137/1766307. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 30138/1766316. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 30139/1766334. ------ 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 (^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. ------ 30140/1766370. ------ 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.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. ------ 30141/1766388. ------ 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 (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. ------ 30142/1766397. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 30143/1766424. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.a)((^z.(z z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)((^y.(y y))(^z.(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 30144/1766451. ------ 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. ------ 30145/1766478. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 30146/1766514. ------ 1. ==[ start ]==> (((a a)(a b))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(a ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a a)(a b))(a (^y.y))) 4. ==[ alpha ]==> (((a a)(a b))(a (^x.x))) REDUCED to normal form. ------ 30147/1766541. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a (a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a (a a))(a a))) REDUCED to normal form. ------ 30148/1766568. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1) a)(a (^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1) a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) a)(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(a (^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(a (^z.z)))) 7. ==[ beta ]==> ((a (^x.x))(a (a (^z.z)))) 8. ==[ alpha ]==> ((a (^x.x))(a (a (^y.y)))) REDUCED to normal form. ------ 30149/1766595. ------ 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. ------ 30150/1766622. ------ 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. ------ 30151/1766667. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.b) b)((^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. ------ 30152/1766712. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((^y.(a a))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> ((^x.(a a))((a (^y.y))(^z.a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 30153/1766739. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.(x1 x1)))) 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. ------ 30154/1766793. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) a) b)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a) b)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a) b)) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) 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. ------ 30155/1766874. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> (b ((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> (b ((^x.(x x)) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 30156/1766937. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(b (^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(b (^y.a))) REDUCED to normal form. ------ 30157/1766964. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(a (^z.(z z)))) REDUCED to normal form. ------ 30158/1767009. ------ 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 (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.y1))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(^y1.y1)))) 10. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.x1)))) 11. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 12. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 30159/1767018. ------ 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 (^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. ------ 30160/1767045. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)((^z.z) a))) 7. ==[ beta ]==> (((^y.y)((^z.z) a))((^y.y)((^z.z) a))) 8. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)((^x1.x1) a))) 9. ==[ beta ]==> (((^y.y) a)((^z.z)((^x1.x1) a))) 10. ==[ alpha ]==> (((^x.x) a)((^y.y)((^z.z) a))) 11. ==[ beta ]==> (a ((^y.y)((^z.z) a))) 12. ==[ alpha ]==> (a ((^x.x)((^y.y) a))) 13. ==[ beta ]==> (a ((^y.y) a)) 14. ==[ alpha ]==> (a ((^x.x) a)) 15. ==[ beta ]==> (a a) REDUCED to normal form. ------ 30161/1767072. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.a)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 30162/1767090. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a (^z.z)) b)) 3. ==[ beta ]==> (b ((a (^z.z)) b)) 4. ==[ alpha ]==> (b ((a (^x.x)) b)) REDUCED to normal form. ------ 30163/1767099. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.(^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. ------ 30164/1767126. ------ 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)(^x.x))(^z.a)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 30165/1767162. ------ 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)(a a))((a (^y.y))(a a))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(a a))) REDUCED to normal form. ------ 30166/1767189. ------ 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. ------ 30167/1767243. ------ 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))(^y.y))(b b)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(b b)) REDUCED to normal form. ------ 30168/1767297. ------ 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. ------ 30169/1767315. ------ 1. ==[ start ]==> (((^a.b) c)((^a.a)(^a.(^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. ------ 30170/1767324. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(a (a (^y.y)))) REDUCED to normal form. ------ 30171/1767351. ------ 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. ------ 30172/1767378. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(b a)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(b a)) REDUCED to normal form. ------ 30173/1767414. ------ 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)((a a) a)) 4. ==[ alpha ]==> ((^x.x)((a a) a)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 30174/1767561. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.((x1 x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 30175/1770630. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^a.(^a.(^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. ------ 30176/1770756. ------ 1. ==[ start ]==> ((^a.(a a))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((^x.(x x))((^y.a)(^z.b))) 3. ==[ beta ]==> (((^y.a)(^z.b))((^y.a)(^z.b))) 4. ==[ alpha ]==> (((^x.a)(^y.b))((^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. ------ 30177/1770783. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 30178/1770819. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a ((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 30179/1770822. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((z z)(^x1.x1)))) REDUCED to normal form. ------ 30180/1770981. ------ 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. ------ 30181/1771272. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^z.(a a))) REDUCED to normal form. ------ 30182/1771323. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.b)(^a.(^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. ------ 30183/1771548. ------ 1. ==[ start ]==> ((^a.(^b.(^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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 30184/1771674. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(b (^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. ------ 30185/1771686. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^c.(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^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. ------ 30186/1771884. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^c.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(^x1.b))) 3. ==[ beta ]==> ((a (^y.a))(^z.(^x1.b))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.b))) REDUCED to normal form. ------ 30187/1772082. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.(^x1.z))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.z))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.y))) 5. ==[ beta ]==> ((a a)(^y.(^z.y))) 6. ==[ alpha ]==> ((a a)(^x.(^y.x))) REDUCED to normal form. ------ 30188/1772595. ------ 1. ==[ start ]==> ((((a a) a)(a a))(^b.(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.a))) REDUCED to normal form. ------ 30189/1772883. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 30190/1773006. ------ 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. ------ 30191/1773027. ------ 1. ==[ start ]==> (((a a)(a b))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 30192/1773162. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 30193/1773213. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.a)(a (^x1.x1)))((^z.a)(a (^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.a)(a (^z.z)))((^x1.a)(a (^y1.y1))))) 5. ==[ beta ]==> (((^y.a)(a (^z.z)))((^x1.a)(a (^y1.y1)))) 6. ==[ alpha ]==> (((^x.a)(a (^y.y)))((^z.a)(a (^x1.x1)))) 7. ==[ beta ]==> (a ((^z.a)(a (^x1.x1)))) 8. ==[ alpha ]==> (a ((^x.a)(a (^y.y)))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 30194/1773387. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 30195/1773468. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^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. ------ 30196/1773729. ------ 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. ------ 30197/1773783. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(a (^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(a (^z.z)))) 6. ==[ alpha ]==> ((a (a a))(^x.(a (^y.y)))) REDUCED to normal form. ------ 30198/1773828. ------ 1. ==[ start ]==> (((^a.b) c)(^c.b)) 2. ==[ alpha ]==> (((^x.b) c)(^y.b)) 3. ==[ beta ]==> (b (^y.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 30199/1773837. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 30200/1773888. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^z.(^x1.x1)))(a (^z.(^x1.x1))))(^y.y)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 30201/1773891. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 30202/1773927. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^a.b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^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. ------ 30203/1774020. ------ 1. ==[ start ]==> ((a (a a))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((a (a a))((^x.a)(^y.b))) 3. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 30204/1774047. ------ 1. ==[ start ]==> ((a b)((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 30205/1774056. ------ 1. ==[ start ]==> (((^a.a)(a a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(b ((^y.y)(a a)))) 3. ==[ beta ]==> ((a a)(b ((^y.y)(a a)))) 4. ==[ alpha ]==> ((a a)(b ((^x.x)(a a)))) 5. ==[ beta ]==> ((a a)(b (a a))) REDUCED to normal form. ------ 30206/1774083. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 30207/1774092. ------ 1. ==[ start ]==> (((^a.a) b)((^c.(^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)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 30208/1774119. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^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. ------ 30209/1774137. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 30210/1774146. ------ 1. ==[ start ]==> (((a a) b)((^a.b) c)) 2. ==[ alpha ]==> (((a a) b)((^x.b) c)) 3. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 30211/1774164. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((a a) a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y) a))) 5. ==[ beta ]==> (((a a) a)((^y.y) a)) 6. ==[ alpha ]==> (((a a) a)((^x.x) a)) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 30212/1774191. ------ 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))(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(a (a a)))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)(a (a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(a (a a)))) 7. ==[ beta ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 30213/1774218. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a (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. ------ 30214/1774245. ------ 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. ------ 30215/1774290. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(b (^y.(a a)))) REDUCED to normal form. ------ 30216/1774362. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 30217/1774389. ------ 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. ------ 30218/1774416. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^x.a))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.(z z))) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.(y y))) REDUCED to normal form. ------ 30219/1774443. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (a a))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 30220/1774506. ------ 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) 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. ------ 30221/1774533. ------ 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 (^y.y)))((^x1.x1)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(a a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 30222/1774560. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((a (a a))((^y.(a a))(^z.z))) 4. ==[ alpha ]==> ((a (a a))((^x.(a a))(^y.y))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 30223/1774578. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a b) b)) 2. ==[ alpha ]==> (((^x.(x x)) a)((a b) b)) 3. ==[ beta ]==> ((a a)((a b) b)) REDUCED to normal form. ------ 30224/1774587. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 30225/1774731. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(b (a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 30226/1774767. ------ 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)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 30227/1774785. ------ 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 b)(a a))) REDUCED to normal form. ------ 30228/1774794. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.b) b)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.b) b)) 3. ==[ beta ]==> (((a (a a))(^x.x)) b) REDUCED to normal form. ------ 30229/1774812. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)(a (^z.z)))) REDUCED to normal form. ------ 30230/1774938. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(b (^z.b))) 3. ==[ beta ]==> ((a (^y.y))(b (^z.b))) 4. ==[ alpha ]==> ((a (^x.x))(b (^y.b))) REDUCED to normal form. ------ 30231/1774947. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 30232/1775037. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a)(^a.a))(^b.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. ------ 30233/1775064. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a (a a))(^z.(z z)))) 3. ==[ beta ]==> (((^y.y) a)((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> (((^x.x) a)((a (a a))(^y.(y y)))) 5. ==[ beta ]==> (a ((a (a a))(^y.(y y)))) 6. ==[ alpha ]==> (a ((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 30234/1775091. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 30235/1775145. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a a)(^z.b))) 3. ==[ beta ]==> ((a (^y.a))((a a)(^z.b))) 4. ==[ alpha ]==> ((a (^x.a))((a a)(^y.b))) REDUCED to normal form. ------ 30236/1775172. ------ 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. ------ 30237/1775199. ------ 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. ------ 30238/1775235. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^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. ------ 30239/1775262. ------ 1. ==[ start ]==> (((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 z)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 30240/1775289. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.a)(^b.(^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)))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 30241/1775343. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.z)(^x1.b))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(^z.b))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.b))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.b))) 7. ==[ beta ]==> ((a a)(^y.b)) 8. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 30242/1775406. ------ 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)(^z1.z1))(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(a (^x2.x2)))) 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. ------ 30243/1775460. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z) a)(a (a a)))) 5. ==[ beta ]==> (a (((^z.z) a)(a (a a)))) 6. ==[ alpha ]==> (a (((^x.x) a)(a (a a)))) 7. ==[ beta ]==> (a (a (a (a a)))) REDUCED to normal form. ------ 30244/1775577. ------ 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))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.(^z1.z1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 30245/1775604. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a (a a))(^z.a))) 3. ==[ beta ]==> ((a (^y.(y y)))((a (a a))(^z.a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (a a))(^y.a))) REDUCED to normal form. ------ 30246/1775631. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(a (^z.(z z)))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(a (^y.(y y)))) REDUCED to normal form. ------ 30247/1775658. ------ 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 (^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 30248/1775748. ------ 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.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 30249/1775775. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(y y))(^z.a))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(x x))(^y.a))) 5. ==[ beta ]==> ((a (a (a a)))((^y.a)(^y.a))) 6. ==[ alpha ]==> ((a (a (a a)))((^x.a)(^y.a))) 7. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 30250/1775802. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 30251/1775829. ------ 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.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 30252/1775874. ------ 1. ==[ start ]==> (((^a.b) a)((^c.a) a)) 2. ==[ alpha ]==> (((^x.b) a)((^y.a) a)) 3. ==[ beta ]==> (b ((^y.a) a)) 4. ==[ alpha ]==> (b ((^x.a) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 30253/1775892. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.b)(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))(a a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 30254/1775973. ------ 1. ==[ start ]==> (((^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 a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.z))(a (a a)))) IRREDUCIBLE: cycle. ------ 30255/1776036. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x)(^y.y))(^z.z))) 3. ==[ beta ]==> ((((a a) a) b)((^y.y)(^z.z))) 4. ==[ alpha ]==> ((((a a) a) b)((^x.x)(^y.y))) 5. ==[ beta ]==> ((((a a) a) b)(^y.y)) 6. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 30256/1776063. ------ 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. ------ 30257/1776090. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.b))(a (^z.a))) 4. ==[ alpha ]==> (((a a)(^x.b))(a (^y.a))) REDUCED to normal form. ------ 30258/1776144. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 30259/1776171. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((^z.z) a)) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y) a)) 5. ==[ beta ]==> (((a (a a))(^x.(x x))) a) REDUCED to normal form. ------ 30260/1776198. ------ 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 REDUCED to normal form. ------ 30261/1776243. ------ 1. ==[ start ]==> (((^a.b)(a a))(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 30262/1776270. ------ 1. ==[ start ]==> ((a (^b.(a a)))(b (a (a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(b (a (a a)))) REDUCED to normal form. ------ 30263/1776288. ------ 1. ==[ start ]==> (((a a)(a b))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a b))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 30264/1776396. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(b (^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(b (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(b (^z.(z z)))) 5. ==[ beta ]==> (((^y.y) a)(b (^z.(z z)))) 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. ------ 30265/1776423. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 30266/1776441. ------ 1. ==[ start ]==> (((^a.b) b)((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 30267/1776450. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(x x))(a a))) 3. ==[ beta ]==> (((a b)(a a))((a a)(a a))) REDUCED to normal form. ------ 30268/1776477. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((a (a a))((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> ((a (a a))((^x.a)(a (^y.y)))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 30269/1776486. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(c c)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c c)) 3. ==[ beta ]==> ((^y.(a a))(c c)) 4. ==[ alpha ]==> ((^x.(a a))(c c)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 30270/1776648. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 30271/1776657. ------ 1. ==[ start ]==> (((a b) b)((^a.(a a)) a)) 2. ==[ alpha ]==> (((a b) b)((^x.(x x)) a)) 3. ==[ beta ]==> (((a b) b)(a a)) REDUCED to normal form. ------ 30272/1776684. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.a) b)) 3. ==[ beta ]==> (((a a) a)((^y.a) b)) 4. ==[ alpha ]==> (((a a) a)((^x.a) b)) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 30273/1776702. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a a)((a (^y.y))(a (^z.z)))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 30274/1776711. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(^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. ------ 30275/1776729. ------ 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)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 30276/1776792. ------ 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))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 30277/1776819. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a)(^z.a))) 5. ==[ beta ]==> ((^y.(y y))((a a)(^z.a))) 6. ==[ alpha ]==> ((^x.(x x))((a a)(^y.a))) 7. ==[ beta ]==> (((a a)(^y.a))((a a)(^y.a))) 8. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.a))) REDUCED to normal form. ------ 30278/1776846. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y) a) a)) 3. ==[ beta ]==> ((((a a) a)(^x.a))(a a)) REDUCED to normal form. ------ 30279/1776864. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(c (a a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(c (a a))) 3. ==[ beta ]==> (b (c (a a))) REDUCED to normal form. ------ 30280/1776873. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z)) b)) REDUCED to normal form. ------ 30281/1776963. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(b (^y.(^z.z)))) REDUCED to normal form. ------ 30282/1776990. ------ 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. ------ 30283/1777017. ------ 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))(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. ------ 30284/1777044. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(a (^y.y)))) 7. ==[ beta ]==> ((a (a a))(a (^y.y))) 8. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 30285/1777071. ------ 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))) 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. ------ 30286/1777089. ------ 1. ==[ start ]==> (((^a.b) c)((a a) b)) 2. ==[ alpha ]==> (((^x.b) c)((a a) b)) 3. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 30287/1777098. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.a)(^a.(^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. ------ 30288/1777125. ------ 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. ------ 30289/1777152. ------ 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. ------ 30290/1777188. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(a b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(a b)) 3. ==[ beta ]==> ((^y.y)(a b)) 4. ==[ alpha ]==> ((^x.x)(a b)) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 30291/1777344. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 30292/1778964. ------ 1. ==[ start ]==> ((^a.(^a.b))(^b.((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.((a a) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 30293/1780413. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^b.b)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.z)) 3. ==[ beta ]==> (((^z.z)(^z.z))(^y.y)) 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. ------ 30294/1780614. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 30295/1780623. ------ 1. ==[ start ]==> (((^a.a) b)(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)(^y.((y y)(^z.z)))) 3. ==[ beta ]==> (b (^y.((y y)(^z.z)))) 4. ==[ alpha ]==> (b (^x.((x x)(^y.y)))) REDUCED to normal form. ------ 30296/1780656. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(a a)) b)) 3. ==[ beta ]==> (((^z.(a a)) b)(^y.y)) 4. ==[ alpha ]==> (((^x.(a a)) b)(^y.y)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 30297/1780857. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^a.(^c.(^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. ------ 30298/1781016. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.a)((a a) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 30299/1781115. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a b) b)) 2. ==[ alpha ]==> ((^x.(x (x x)))((a b) b)) 3. ==[ beta ]==> (((a b) b)(((a b) b)((a b) b))) REDUCED to normal form. ------ 30300/1781298. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.((^y1.y1)(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((^x1.x1)(z z)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 30301/1781505. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 30302/1781694. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.(a z))) 3. ==[ eta ]==> (((^x.(x x))(a (^y.y))) a) 4. ==[ beta ]==> (((a (^y.y))(a (^y.y))) a) 5. ==[ alpha ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 30303/1781898. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.b) a)) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.b) a)) 3. ==[ beta ]==> ((((^y.b) a)((^y.b) a))((^y.b) a)) 4. ==[ alpha ]==> ((((^x.b) a)((^y.b) a))((^z.b) a)) 5. ==[ beta ]==> ((b ((^y.b) a))((^z.b) a)) 6. ==[ alpha ]==> ((b ((^x.b) a))((^y.b) a)) 7. ==[ beta ]==> ((b b)((^y.b) a)) 8. ==[ alpha ]==> ((b b)((^x.b) a)) 9. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 30304/1782072. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(^z.b))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.b))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.b))) REDUCED to normal form. ------ 30305/1782231. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.z)((a a) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 30306/1782234. ------ 1. ==[ start ]==> ((a (^a.b))(^b.((a a) a))) 2. ==[ alpha ]==> ((a (^x.b))(^y.((a a) a))) REDUCED to normal form. ------ 30307/1782405. ------ 1. ==[ start ]==> (((^a.b) a)(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.b) a)(^y.((y y) y))) 3. ==[ beta ]==> (b (^y.((y y) y))) 4. ==[ alpha ]==> (b (^x.((x x) x))) REDUCED to normal form. ------ 30308/1782411. ------ 1. ==[ start ]==> ((^a.(a b))((^c.a) a)) 2. ==[ alpha ]==> ((^x.(x b))((^y.a) a)) 3. ==[ beta ]==> (((^y.a) a) b) 4. ==[ alpha ]==> (((^x.a) a) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 30309/1782693. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^x.(^z.z))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 30310/1782798. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1))(^y1.(y1 y1)))((^z.(^x1.x1))(^y1.(y1 y1))))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z))(^x1.(x1 x1)))((^y1.(^z1.z1))(^x2.(x2 x2))))) 5. ==[ beta ]==> (^x.((^z.z)((^y1.(^z1.z1))(^x2.(x2 x2))))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1))(^y1.(y1 y1))))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))(^y1.(y1 y1)))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(x1 x1)))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 30311/1783005. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((((^z.z) a)(^x1.(^y1.y1)))(((^z.z) a)(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((((^y.y) a)(^z.(^x1.x1)))(((^y1.y1) a)(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((((^y.y) a)(^z.(^x1.x1)))(((^y1.y1) a)(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 7. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.(^y1.y1)))) 10. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 30312/1783179. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 30313/1783188. ------ 1. ==[ start ]==> (((a b) b)(^a.(a (a a)))) 2. ==[ alpha ]==> (((a b) b)(^x.(x (x x)))) REDUCED to normal form. ------ 30314/1783269. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^z.a)) REDUCED to normal form. ------ 30315/1783521. ------ 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. ------ 30316/1783620. ------ 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))) REDUCED to normal form. ------ 30317/1783629. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^c.b)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.b)) REDUCED to normal form. ------ 30318/1783680. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.a) b)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.z) b)) 3. ==[ beta ]==> ((((^z.z) b)((^z.z) b))(^y.y)) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(^z.z)) 5. ==[ beta ]==> ((b ((^y.y) b))(^z.z)) 6. ==[ alpha ]==> ((b ((^x.x) b))(^y.y)) 7. ==[ beta ]==> ((b b)(^y.y)) 8. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 30319/1783683. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^b.b)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 30320/1783719. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^x1.(a a))) 3. ==[ beta ]==> ((^y.y)(^x1.(a a))) 4. ==[ alpha ]==> ((^x.x)(^y.(a a))) 5. ==[ beta ]==> (^y.(a a)) 6. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 30321/1783830. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.b))) 5. ==[ beta ]==> ((^y.a)(^z.b)) 6. ==[ alpha ]==> ((^x.a)(^y.b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 30322/1783857. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(^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. ------ 30323/1783866. ------ 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)(^x.x))(b (a a))) REDUCED to normal form. ------ 30324/1783893. ------ 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. ------ 30325/1783920. ------ 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. ------ 30326/1783929. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(a a)) b)) 3. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 30327/1783947. ------ 1. ==[ start ]==> (((a a) b)((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a) b)((a b)(a (^x.x)))) REDUCED to normal form. ------ 30328/1783974. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((a a) a)((^y.y) a))) 3. ==[ beta ]==> (((a (^x.x)) a)(((a a) a) a)) REDUCED to normal form. ------ 30329/1784001. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 30330/1784028. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((a (a a))(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a))(^z.z))) REDUCED to normal form. ------ 30331/1784082. ------ 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)((a (^z.z))(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. ------ 30332/1784127. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(a (^c.(^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. ------ 30333/1784154. ------ 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)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 30334/1784235. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 30335/1784289. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)((a a) a))) 3. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 30336/1784307. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a (^y.y))(^z.b))) 3. ==[ beta ]==> (((a a) a)((a (^y.y))(^z.b))) 4. ==[ alpha ]==> (((a a) a)((a (^x.x))(^y.b))) REDUCED to normal form. ------ 30337/1784334. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(^z.(a a)))) REDUCED to normal form. ------ 30338/1784361. ------ 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)) 5. ==[ beta ]==> ((a (a a))((a a) a)) REDUCED to normal form. ------ 30339/1784388. ------ 1. ==[ start ]==> ((a (a (a a)))((a b) b)) REDUCED to normal form. ------ 30340/1784397. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.b)(^z.(^x1.x1)))((^y.b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 7. ==[ beta ]==> (b ((^x1.b)(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (b ((^x.b)(^y.(^z.z)))) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 30341/1784424. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 30342/1784478. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 9. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 30343/1784505. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a (a a))((^y.a)(^z.a))) 4. ==[ alpha ]==> ((a (a a))((^x.a)(^y.a))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 30344/1784532. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 30345/1784541. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(b (a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(b (a b))) REDUCED to normal form. ------ 30346/1784568. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(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. ------ 30347/1784595. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a b)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a b)(a a))) REDUCED to normal form. ------ 30348/1784703. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b b)(((^y.y) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b b)(((^x.x) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b b)(a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((b b)(a ((^x.x)(^y.y)))) 7. ==[ beta ]==> ((b b)(a (^y.y))) 8. ==[ alpha ]==> ((b b)(a (^x.x))) REDUCED to normal form. ------ 30349/1784748. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(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. ------ 30350/1784775. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 30351/1784883. ------ 1. ==[ start ]==> (((^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 a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(a (a a)))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (a a)))) 7. ==[ beta ]==> ((^y.(y y))(a (a a))) 8. ==[ alpha ]==> ((^x.(x x))(a (a a))) 9. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 30352/1784910. ------ 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)(^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. ------ 30353/1784964. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.z)(a b))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.z)(a b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(a b))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a b)) REDUCED to normal form. ------ 30354/1785171. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.b) a)) 2. ==[ alpha ]==> ((a ((a a) a))((^x.b) a)) 3. ==[ beta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 30355/1785297. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b ((a (^y.y))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (b ((a (^x.x))((^y.y)(^z.z)))) 7. ==[ beta ]==> (b ((a (^x.x))(^z.z))) 8. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 30356/1785324. ------ 1. ==[ start ]==> ((((a a) a) a)((a a)((a a) a))) REDUCED to normal form. ------ 30357/1785342. ------ 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. ------ 30358/1785423. ------ 1. ==[ start ]==> (((^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))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(z z))((^x1.x1) a))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))((^x1.x1) a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))((^z.z) a))) 7. ==[ beta ]==> ((a a)((^y.(y y))((^z.z) a))) 8. ==[ alpha ]==> ((a a)((^x.(x x))((^y.y) a))) 9. ==[ beta ]==> ((a a)(((^y.y) a)((^y.y) a))) 10. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y) a))) 11. ==[ beta ]==> ((a a)(a ((^y.y) a))) 12. ==[ alpha ]==> ((a a)(a ((^x.x) a))) 13. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 30359/1785504. ------ 1. ==[ start ]==> ((a (^a.b))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.y)((a a) a))) 3. ==[ beta ]==> ((a (^x.b))((a a) a)) REDUCED to normal form. ------ 30360/1785522. ------ 1. ==[ start ]==> (((a a)((a a) a))(((a a) a) a)) REDUCED to normal form. ------ 30361/1785549. ------ 1. ==[ start ]==> (((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)) b)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1)(^y1.y1)) b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(^x1.x1)) b)) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1) b)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z) b)) 7. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 30362/1785675. ------ 1. ==[ start ]==> (((^a.b) a)(a ((a a) a))) 2. ==[ alpha ]==> (((^x.b) a)(a ((a a) a))) 3. ==[ beta ]==> (b (a ((a a) a))) REDUCED to normal form. ------ 30363/1785684. ------ 1. ==[ start ]==> ((a (a b))((^c.a) a)) 2. ==[ alpha ]==> ((a (a b))((^x.a) a)) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 30364/1785855. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (b ((^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. ------ 30365/1785882. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 30366/1785909. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((^y.a)((^z.z) a)) 6. ==[ alpha ]==> ((^x.a)((^y.y) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 30367/1785963. ------ 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)(^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. ------ 30368/1786044. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.a)(^b.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. ------ 30369/1786053. ------ 1. ==[ start ]==> (((a b)(^a.a))(c ((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.x))(c ((^y.y) a))) 3. ==[ beta ]==> (((a b)(^x.x))(c a)) REDUCED to normal form. ------ 30370/1786071. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 30371/1786116. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 30372/1786143. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(x1 x1)) b)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(z z)) b)) 5. ==[ beta ]==> ((a (^y.y))((^z.(z z)) b)) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y)) b)) 7. ==[ beta ]==> ((a (^x.x))(b b)) REDUCED to normal form. ------ 30373/1786170. ------ 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. ------ 30374/1786251. ------ 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. ------ 30375/1786278. ------ 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)))) 5. ==[ beta ]==> ((a (a a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 30376/1786287. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.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. ------ 30377/1786314. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 30378/1786368. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.z1))) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.z1))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 7. ==[ beta ]==> ((^y.(y y))(^z.z)) 8. ==[ alpha ]==> ((^x.(x x))(^y.y)) 9. ==[ beta ]==> ((^y.y)(^y.y)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 30379/1786449. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> (b ((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(y y)))) 5. ==[ beta ]==> (b (^y.(y y))) 6. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 30380/1786458. ------ 1. ==[ start ]==> (((a b) b)(a (a (a a)))) REDUCED to normal form. ------ 30381/1786485. ------ 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))) 5. ==[ beta ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 30382/1786512. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 30383/1786530. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(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. ------ 30384/1786539. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((a a) a)) REDUCED to normal form. ------ 30385/1786584. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.a)(a a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.a)(a a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.a)(a a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.a)(a a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(a a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(a a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(a a))) 9. ==[ beta ]==> ((^y.y)((^z.a)(a a))) 10. ==[ alpha ]==> ((^x.x)((^y.a)(a a))) 11. ==[ beta ]==> ((^y.a)(a a)) 12. ==[ alpha ]==> ((^x.a)(a a)) 13. ==[ beta ]==> a REDUCED to normal form. ------ 30386/1786593. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(c b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(c b)) REDUCED to normal form. ------ 30387/1786620. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(b c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(b c)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(b c)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b c)) 5. ==[ beta ]==> ((^y.(y y))(b c)) 6. ==[ alpha ]==> ((^x.(x x))(b c)) 7. ==[ beta ]==> ((b c)(b c)) REDUCED to normal form. ------ 30388/1786665. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^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. ------ 30389/1786674. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(c (a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c (a a))) REDUCED to normal form. ------ 30390/1786701. ------ 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. ------ 30391/1786737. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.a) a)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.a) a)) 3. ==[ beta ]==> (((a a)(a a))((^y.a) a)) 4. ==[ alpha ]==> (((a a)(a a))((^x.a) a)) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 30392/1786764. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(^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. ------ 30393/1786818. ------ 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))(^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))) REDUCED to normal form. ------ 30394/1786845. ------ 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. ------ 30395/1786872. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a (^y.y)) a)) 3. ==[ beta ]==> ((((a a) a) a)((a (^y.y)) a)) 4. ==[ alpha ]==> ((((a a) a) a)((a (^x.x)) a)) REDUCED to normal form. ------ 30396/1786890. ------ 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. ------ 30397/1786899. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a a) b)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a a) b)) REDUCED to normal form. ------ 30398/1786926. ------ 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. ------ 30399/1786953. ------ 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. ------ 30400/1786989. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.x1)(a a))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 30401/1788441. ------ 1. ==[ start ]==> ((^a.((a a) a))(^a.(a 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 ]==> (((^y.(y b)) b)(^z.(z b))) 6. ==[ alpha ]==> (((^x.(x b)) b)(^y.(y b))) 7. ==[ beta ]==> ((b b)(^y.(y b))) 8. ==[ alpha ]==> ((b b)(^x.(x b))) REDUCED to normal form. ------ 30402/1788774. ------ 1. ==[ start ]==> ((^a.(^a.b))(^c.(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 30403/1788954. ------ 1. ==[ start ]==> ((^a.(a b))(^a.((a a) a))) 2. ==[ alpha ]==> ((^x.(x b))(^y.((y y) y))) 3. ==[ beta ]==> ((^y.((y y) y)) b) 4. ==[ alpha ]==> ((^x.((x x) x)) b) 5. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 30404/1790394. ------ 1. ==[ start ]==> ((^a.b)(c (a b))) 2. ==[ alpha ]==> ((^x.b)(c (a b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 30405/1790442. ------ 1. ==[ start ]==> (((^a.a) b)(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 30406/1790451. ------ 1. ==[ start ]==> (((a a)(a a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 30407/1790475. ------ 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. ------ 30408/1790664. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a a)((^z.z)(a a)))) 3. ==[ eta ]==> ((^y.y)((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)((^y.y)(a a))) 6. ==[ alpha ]==> ((a a)((^x.x)(a a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 30409/1791117. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 30410/1791159. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b) b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 30411/1791285. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a (^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 30412/1791522. ------ 1. ==[ start ]==> (((a (a a))(^a.(^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. ------ 30413/1791717. ------ 1. ==[ start ]==> ((^a.((a a) a))(a (a b))) 2. ==[ alpha ]==> ((^x.((x x) x))(a (a b))) 3. ==[ beta ]==> (((a (a b))(a (a b)))(a (a b))) REDUCED to normal form. ------ 30414/1791720. ------ 1. ==[ start ]==> ((a ((a a) a))(^a.(a b))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.(x b))) REDUCED to normal form. ------ 30415/1792050. ------ 1. ==[ start ]==> ((^a.(^a.b))((a a)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((a a)(^z.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 30416/1792053. ------ 1. ==[ start ]==> ((a (^a.b))(^c.(^c.a))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(^z.a))) REDUCED to normal form. ------ 30417/1792224. ------ 1. ==[ start ]==> (((^a.b) a)(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(^z.a))) 3. ==[ beta ]==> (b (^y.(^z.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 30418/1792230. ------ 1. ==[ start ]==> ((^a.(a b))(a ((a a) a))) 2. ==[ alpha ]==> ((^x.(x b))(a ((a a) a))) 3. ==[ beta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 30419/1792233. ------ 1. ==[ start ]==> ((a (a b))(^a.((a a) a))) 2. ==[ alpha ]==> ((a (a b))(^x.((x x) x))) REDUCED to normal form. ------ 30420/1792386. ------ 1. ==[ start ]==> ((((a a) a) b)(^a.(^c.a))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.x))) REDUCED to normal form. ------ 30421/1792521. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 30422/1792665. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(^z.z))) REDUCED to normal form. ------ 30423/1792791. ------ 1. ==[ start ]==> (((^a.b) b)(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 30424/1792998. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^c.d)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.d)) 3. ==[ beta ]==> (b (^x1.d)) 4. ==[ alpha ]==> (b (^x.d)) REDUCED to normal form. ------ 30425/1793007. ------ 1. ==[ start ]==> (((a b) b)(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a b) b)(^x.(^y.(y y)))) REDUCED to normal form. ------ 30426/1793196. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^y.a)) REDUCED to normal form. ------ 30427/1793286. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.((^z.z) y))) 3. ==[ eta ]==> (((a a)((^x.x)(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.y)) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 30428/1793475. ------ 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. ------ 30429/1793499. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a a)(a a))) 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. ------ 30430/1793538. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 30431/1793667. ------ 1. ==[ start ]==> (((a a) a)((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a a) a)((^x.a)(^y.b))) 3. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 30432/1793676. ------ 1. ==[ start ]==> ((a b)(c (a b))) REDUCED to normal form. ------ 30433/1793694. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 30434/1793721. ------ 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)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 30435/1793730. ------ 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. ------ 30436/1793757. ------ 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. ------ 30437/1793766. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.(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. ------ 30438/1793793. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.b) c)) 3. ==[ beta ]==> ((^y.y)((^x1.b) c)) 4. ==[ alpha ]==> ((^x.x)((^y.b) c)) 5. ==[ beta ]==> ((^y.b) c) 6. ==[ alpha ]==> ((^x.b) c) 7. ==[ beta ]==> b REDUCED to normal form. ------ 30439/1793892. ------ 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. ------ 30440/1793910. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(c (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(c (^z.b))) 3. ==[ beta ]==> ((^y.y)(c (^z.b))) 4. ==[ alpha ]==> ((^x.x)(c (^y.b))) 5. ==[ beta ]==> (c (^y.b)) 6. ==[ alpha ]==> (c (^x.b)) REDUCED to normal form. ------ 30441/1793919. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))(a b))) REDUCED to normal form. ------ 30442/1793946. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) 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. ------ 30443/1793982. ------ 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))(^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. ------ 30444/1793991. ------ 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 (^x.x)) b)(a a)) REDUCED to normal form. ------ 30445/1794018. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.b)(a (^z.z)))) 3. ==[ beta ]==> ((a a)((^y.b)(a (^z.z)))) 4. ==[ alpha ]==> ((a a)((^x.b)(a (^y.y)))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 30446/1794036. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a) a)(^z.a))) 3. ==[ beta ]==> (((^y.y) a)(((a a) a)(^z.a))) 4. ==[ alpha ]==> (((^x.x) a)(((a a) a)(^y.a))) 5. ==[ beta ]==> (a (((a a) a)(^y.a))) 6. ==[ alpha ]==> (a (((a a) a)(^x.a))) REDUCED to normal form. ------ 30447/1794045. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 30448/1794063. ------ 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)(^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. ------ 30449/1794072. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 30450/1794099. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 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. ------ 30451/1794207. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((a a)((^y.(a a))(^z.z))) 4. ==[ alpha ]==> ((a a)((^x.(a a))(^y.y))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 30452/1794225. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a b) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a b) b)) 3. ==[ beta ]==> ((^y.(y y))((a b) b)) 4. ==[ alpha ]==> ((^x.(x x))((a b) b)) 5. ==[ beta ]==> (((a b) b)((a b) b)) REDUCED to normal form. ------ 30453/1794252. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((a a) a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 30454/1794288. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.(^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. ------ 30455/1794315. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(^z.z))(^y.(^z.z)))) 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. ------ 30456/1794342. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 30457/1794369. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 30458/1794396. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(a a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 30459/1794414. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(a a)) a)) 3. ==[ beta ]==> (((a a)(a a))((^y.(a a)) a)) 4. ==[ alpha ]==> (((a a)(a a))((^x.(a a)) a)) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 30460/1794441. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b) b)) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 30461/1794459. ------ 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. ------ 30462/1794486. ------ 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)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x)) a)((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)((^z.z) a))) 7. ==[ beta ]==> (((a (^x.x)) a)((^z.z) a)) 8. ==[ alpha ]==> (((a (^x.x)) a)((^y.y) a)) 9. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 30463/1794513. ------ 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. ------ 30464/1794540. ------ 1. ==[ start ]==> (((a (a a))(a a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(((^x.x) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a a))(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a a))(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a (a a))(a a))(a (^y.y))) 6. ==[ alpha ]==> (((a (a a))(a a))(a (^x.x))) REDUCED to normal form. ------ 30465/1794567. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.z))((a a) a))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 30466/1794657. ------ 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. ------ 30467/1794666. ------ 1. ==[ start ]==> (((a (a a)) b)((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.a)(a (^y.y)))) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 30468/1794693. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (a ((^y.(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> (a ((^x.(^y.y))((^z.z) a))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 30469/1794711. ------ 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. ------ 30470/1794720. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 30471/1794738. ------ 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.(^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. ------ 30472/1794747. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 30473/1794774. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(^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. ------ 30474/1794792. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a a)(^z.b))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a a)(^z.b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(^z.b))) REDUCED to normal form. ------ 30475/1794801. ------ 1. ==[ start ]==> (((a (a a))(^a.(^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. ------ 30476/1794828. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(^x1.x1))) 5. ==[ beta ]==> ((^y.y)((^z.b)(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(^z.z))) 7. ==[ beta ]==> ((^y.b)(^z.z)) 8. ==[ alpha ]==> ((^x.b)(^y.y)) 9. ==[ beta ]==> b REDUCED to normal form. ------ 30477/1794972. ------ 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. ------ 30478/1794999. ------ 1. ==[ start ]==> ((a ((a a) a))(a (a b))) REDUCED to normal form. ------ 30479/1795035. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^c.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 30480/1795125. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(c (^b.(^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. ------ 30481/1795152. ------ 1. ==[ start ]==> ((((a a) a) a)(b (^c.a))) 2. ==[ alpha ]==> ((((a a) a) a)(b (^x.a))) REDUCED to normal form. ------ 30482/1795197. ------ 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)(((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. ------ 30483/1795206. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 30484/1795233. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 30485/1795251. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a (a a))(^z.a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a (a a))(^z.a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (a a))(^z.a))) 5. ==[ beta ]==> ((a ((^y.y) a))((a (a a))(^z.a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a (a a))(^y.a))) 7. ==[ beta ]==> ((a a)((a (a a))(^y.a))) 8. ==[ alpha ]==> ((a a)((a (a a))(^x.a))) REDUCED to normal form. ------ 30486/1795260. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.a))(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((a (a a))(^x.a))(a ((^z.z) a))) 6. ==[ alpha ]==> (((a (a a))(^x.a))(a ((^y.y) a))) 7. ==[ beta ]==> (((a (a a))(^x.a))(a a)) REDUCED to normal form. ------ 30487/1795287. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(a (a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a (a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 30488/1795314. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 30489/1795332. ------ 1. ==[ start ]==> ((a (^a.b))((a a)(^c.a))) 2. ==[ alpha ]==> ((a (^x.b))((a a)(^y.a))) REDUCED to normal form. ------ 30490/1795485. ------ 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. ------ 30491/1795503. ------ 1. ==[ start ]==> (((^a.b) a)((^a.a)(^c.a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 30492/1795512. ------ 1. ==[ start ]==> ((a (a b))(a ((a a) a))) REDUCED to normal form. ------ 30493/1795521. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^c.a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a) a)) 3. ==[ beta ]==> ((^y.b)((^z.a) a)) 4. ==[ alpha ]==> ((^x.b)((^y.a) a)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 30494/1795665. ------ 1. ==[ start ]==> ((((a a) a) b)(a (^c.a))) 2. ==[ alpha ]==> ((((a a) a) b)(a (^x.a))) REDUCED to normal form. ------ 30495/1795683. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (b (((^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. ------ 30496/1795692. ------ 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)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 30497/1795710. ------ 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. ------ 30498/1795719. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.b))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.b))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 30499/1795737. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (((^y.y) a)(^z.a)) 6. ==[ alpha ]==> (((^x.x) a)(^y.a)) 7. ==[ beta ]==> (a (^y.a)) 8. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 30500/1795773. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 30501/1795791. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a a)(^b.(^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. ------ 30502/1795800. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 30503/1795827. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.x1))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 30504/1795854. ------ 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. ------ 30505/1795872. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.b)(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. ------ 30506/1795881. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 30507/1795917. ------ 1. ==[ start ]==> (((a a)(a b))(b (a (a a)))) REDUCED to normal form. ------ 30508/1795944. ------ 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 (^x.x))((a a) a))(a (^z.z))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(a (^y.y))) REDUCED to normal form. ------ 30509/1795971. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a (a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a (a a))(a a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (a a))(a a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (a a))(a a))) 5. ==[ beta ]==> ((a (^y.y))((a (a a))(a a))) 6. ==[ alpha ]==> ((a (^x.x))((a (a a))(a a))) REDUCED to normal form. ------ 30510/1795998. ------ 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. ------ 30511/1796025. ------ 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. ------ 30512/1796052. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a a)(a (a a)))) REDUCED to normal form. ------ 30513/1796070. ------ 1. ==[ start ]==> (((^a.b) b)(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(a (^y.(^z.z)))) 3. ==[ beta ]==> (b (a (^y.(^z.z)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 30514/1796115. ------ 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 a) REDUCED to normal form. ------ 30515/1796142. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.a))) 5. ==[ beta ]==> ((a (^y.y))(^z.a)) 6. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 30516/1796196. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (a a)) a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (a a)) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((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. ------ 30517/1796286. ------ 1. ==[ start ]==> (((a b) b)((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b) b)((^x.x)(^y.(y y)))) 3. ==[ beta ]==> (((a b) b)(^y.(y y))) 4. ==[ alpha ]==> (((a b) b)(^x.(x x))) REDUCED to normal form. ------ 30518/1796331. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.a) b)) 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)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 30519/1796340. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(c (^y.(^z.z)))) REDUCED to normal form. ------ 30520/1796358. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(^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. ------ 30521/1796367. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(b (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(b (^z.a))) REDUCED to normal form. ------ 30522/1796412. ------ 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)(^y1.y1))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a)(^z1.z1))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1) a)(^z1.z1))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)(^y1.y1))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(^y1.y1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.x1))) 9. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.z))) 11. ==[ beta ]==> (((^y.y) a)(^z.z)) 12. ==[ alpha ]==> (((^x.x) a)(^y.y)) 13. ==[ beta ]==> (a (^y.y)) 14. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 30523/1796421. ------ 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) REDUCED to normal form. ------ 30524/1796448. ------ 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.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> (((^y.(^z.z))(a (^x1.x1)))((^y.(^z.z))(a (^x1.x1)))) 8. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (^z1.z1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 11. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 12. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 30525/1796475. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((^z.z) a)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y) a)) 5. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 30526/1796493. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^z.z) a) a)) 3. ==[ beta ]==> (b (((^z.z) a) a)) 4. ==[ alpha ]==> (b (((^x.x) a) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 30527/1796502. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.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. ------ 30528/1796529. ------ 1. ==[ start ]==> ((((^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.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. ------ 30529/1796565. ------ 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)(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. ------ 30530/1796592. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (^y.y))(a a))) REDUCED to normal form. ------ 30531/1796619. ------ 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. ------ 30532/1796673. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(b b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(b b)) 3. ==[ beta ]==> (((^y.y)(a (a a)))(b b)) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(b b)) 5. ==[ beta ]==> ((a (a a))(b b)) REDUCED to normal form. ------ 30533/1796718. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(^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. ------ 30534/1796727. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(b (a a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(b (a a))) REDUCED to normal form. ------ 30535/1796754. ------ 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. ------ 30536/1796781. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)(a a))) REDUCED to normal form. ------ 30537/1796817. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 30538/1796897. ------ 1. ==[ start ]==> (^a.((^b.(^a.a))(^b.(^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. ------ 30539/1796898. ------ 1. ==[ start ]==> (a ((^b.(^a.a))(^b.(^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. ------ 30540/1798278. ------ 1. ==[ start ]==> ((^a.((a a) a))(^b.(^a.b))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.(^z.y))) 3. ==[ beta ]==> (((^y.(^z.y))(^y.(^z.y)))(^y.(^z.y))) 4. ==[ alpha ]==> (((^x.(^y.x))(^z.(^x1.z)))(^y1.(^z1.y1))) 5. ==[ beta ]==> ((^y.(^z.(^x1.z)))(^y1.(^z1.y1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.y)))(^x1.(^y1.x1))) 7. ==[ beta ]==> (^y.(^z.y)) 8. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 30541/1798791. ------ 1. ==[ start ]==> ((^a.(a b))(^b.(^c.a))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(^z.a))) 3. ==[ beta ]==> ((^y.(^z.a)) b) 4. ==[ alpha ]==> ((^x.(^y.a)) b) 5. ==[ beta ]==> (^y.a) 6. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 30542/1800186. ------ 1. ==[ start ]==> ((^a.a)((^b.(^a.a))(^b.(^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. ------ 30543/1800240. ------ 1. ==[ start ]==> ((^a.b)((^b.a)(^a.b))) 2. ==[ alpha ]==> ((^x.b)((^y.a)(^z.b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 30544/1800276. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 30545/1800297. ------ 1. ==[ start ]==> (((a a)(a a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 30546/1800438. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^y.((a (a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (^x.((a (a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (^x.((a (a a))(^z.z))) 6. ==[ alpha ]==> (^x.((a (a a))(^y.y))) REDUCED to normal form. ------ 30547/1800510. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(b (^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(b (^z.(a a)))) 3. ==[ eta ]==> ((^y.y)(b (^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 30548/1800522. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.a)(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.a)(^y.((^z.z)(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 30549/1800756. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(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)))) 5. ==[ beta ]==> ((a (a a))(^x.(a a))) REDUCED to normal form. ------ 30550/1800780. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((^y.(a a))(^z.z))(((^y.(a a))(^z.z))((^y.(a a))(^z.z)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.y))(((^z.(a a))(^x1.x1))((^y1.(a a))(^z1.z1)))) 5. ==[ beta ]==> ((a a)(((^z.(a a))(^x1.x1))((^y1.(a a))(^z1.z1)))) 6. ==[ alpha ]==> ((a a)(((^x.(a a))(^y.y))((^z.(a a))(^x1.x1)))) 7. ==[ beta ]==> ((a a)((a a)((^z.(a a))(^x1.x1)))) 8. ==[ alpha ]==> ((a a)((a a)((^x.(a a))(^y.y)))) 9. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 30551/1800981. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (((a a)(a a))(^y.((^z.z)(y y)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.((^y.y)(x x)))) 5. ==[ beta ]==> (((a a)(a a))(^x.(x x))) REDUCED to normal form. ------ 30552/1801005. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b)(a a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 30553/1801563. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.y)(^z.b))) 3. ==[ beta ]==> ((((^y.y)(^z.b))((^y.y)(^z.b)))((^y.y)(^z.b))) 4. ==[ alpha ]==> ((((^x.x)(^y.b))((^z.z)(^x1.b)))((^y1.y1)(^z1.b))) 5. ==[ beta ]==> (((^y.b)((^z.z)(^x1.b)))((^y1.y1)(^z1.b))) 6. ==[ alpha ]==> (((^x.b)((^y.y)(^z.b)))((^x1.x1)(^y1.b))) 7. ==[ beta ]==> (b ((^x1.x1)(^y1.b))) 8. ==[ alpha ]==> (b ((^x.x)(^y.b))) 9. ==[ beta ]==> (b (^y.b)) 10. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 30554/1801566. ------ 1. ==[ start ]==> ((a ((a a) a))(^b.(^a.b))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.x))) REDUCED to normal form. ------ 30555/1801917. ------ 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. ------ 30556/1802076. ------ 1. ==[ start ]==> ((^a.(a b))((^a.a)(^c.a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.y)(^z.a))) 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. ------ 30557/1802079. ------ 1. ==[ start ]==> ((a (a b))(^b.(^c.a))) 2. ==[ alpha ]==> ((a (a b))(^x.(^y.a))) REDUCED to normal form. ------ 30558/1802088. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.((z z) z))) 3. ==[ beta ]==> ((^y.b)(^z.((z z) z))) 4. ==[ alpha ]==> ((^x.b)(^y.((y y) y))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 30559/1802463. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(c ((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(c ((^z.z) a))) 3. ==[ beta ]==> (^y.((c ((^z.z) a))(c ((^z.z) a)))) 4. ==[ alpha ]==> (^x.((c ((^y.y) a))(c ((^z.z) a)))) 5. ==[ beta ]==> (^x.((c a)(c ((^z.z) a)))) 6. ==[ alpha ]==> (^x.((c a)(c ((^y.y) a)))) 7. ==[ beta ]==> (^x.((c a)(c a))) REDUCED to normal form. ------ 30560/1802511. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 30561/1802646. ------ 1. ==[ start ]==> (((a b)(a a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 30562/1802670. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(z z))(a a))) 3. ==[ beta ]==> ((^y.y)(((^z.(z z))(a a))((^z.(z z))(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.(y y))(a a))((^z.(z z))(a a)))) 5. ==[ beta ]==> (((^y.(y y))(a a))((^z.(z z))(a a))) 6. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(y y))(a a))) 7. ==[ beta ]==> (((a a)(a a))((^y.(y y))(a a))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(a a))) 9. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 30563/1802853. ------ 1. ==[ start ]==> (((a b) b)(^c.d)) 2. ==[ alpha ]==> (((a b) b)(^x.d)) REDUCED to normal form. ------ 30564/1803042. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^c.(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 30565/1803132. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(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. ------ 30566/1803213. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^a.(^b.a))) 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. ------ 30567/1803267. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(^y.(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a) a)(^y.(a (^z.z)))) 4. ==[ alpha ]==> ((((a a) a) a)(^x.(a (^y.y)))) REDUCED to normal form. ------ 30568/1803321. ------ 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. ------ 30569/1803345. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(b (^z.z))) 3. ==[ beta ]==> (((b (^z.z))(b (^z.z)))(^y.y)) 4. ==[ alpha ]==> (((b (^x.x))(b (^y.y)))(^z.z)) REDUCED to normal form. ------ 30570/1803477. ------ 1. ==[ start ]==> ((a a)((^b.(^a.a))(^b.(^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. ------ 30571/1803531. ------ 1. ==[ start ]==> ((a b)((^b.a)(^a.b))) 2. ==[ alpha ]==> ((a b)((^x.a)(^y.b))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 30572/1803567. ------ 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. ------ 30573/1803621. ------ 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. ------ 30574/1803630. ------ 1. ==[ start ]==> (((a a) b)((^b.(a a)) b)) 2. ==[ alpha ]==> (((a a) b)((^x.(a a)) b)) 3. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 30575/1803648. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a b)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(a (^y.y)))) 5. ==[ beta ]==> ((a b)(a (^y.y))) 6. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 30576/1803657. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.b) c)) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.b) c)) 3. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 30577/1803675. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> ((a (^y.y))(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a)((^y.y) a))) 5. ==[ beta ]==> ((a (^x.x))(((a a) a) a)) REDUCED to normal form. ------ 30578/1803702. ------ 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)(((^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. ------ 30579/1803729. ------ 1. ==[ start ]==> ((a (^b.a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (^x.a))((a (a a))(^z.z))) 4. ==[ alpha ]==> ((a (^x.a))((a (a a))(^y.y))) REDUCED to normal form. ------ 30580/1803801. ------ 1. ==[ start ]==> ((a ((^a.a) a))(b (^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(b (^y.(a a)))) 3. ==[ beta ]==> ((a a)(b (^y.(a a)))) 4. ==[ alpha ]==> ((a a)(b (^x.(a a)))) REDUCED to normal form. ------ 30581/1803810. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.a)((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.a)((a a)((^y.y)(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 30582/1803846. ------ 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 (^x.x)) b)((a a)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a a)(^y.y))) REDUCED to normal form. ------ 30583/1803873. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 30584/1803900. ------ 1. ==[ start ]==> (((a a)(^b.a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.a))(((a a) a)(^y.a))) REDUCED to normal form. ------ 30585/1803927. ------ 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)(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.(y1 y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.(y1 y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(x1 x1))) REDUCED to normal form. ------ 30586/1803954. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 30587/1803990. ------ 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) a)((^y.a)((a a) a))) 4. ==[ alpha ]==> (((a a) a)((^x.a)((a a) a))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 30588/1804017. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 30589/1804044. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^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. ------ 30590/1804062. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y)(a a)) a)) 3. ==[ beta ]==> ((a a)(((^y.y)(a a)) a)) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a)) a)) 5. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 30591/1804071. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(a a))(^y.y))) 3. ==[ beta ]==> ((a (a (a a)))(a a)) REDUCED to normal form. ------ 30592/1804269. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(a ((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(a a))(a ((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a)(a a))(a ((^x.x)(a a)))) 5. ==[ beta ]==> (((a a)(a a))(a (a a))) REDUCED to normal form. ------ 30593/1804278. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(a a)) a)) 3. ==[ beta ]==> (((a (a a))(^x.x))(a a)) REDUCED to normal form. ------ 30594/1804296. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(a a))) REDUCED to normal form. ------ 30595/1804431. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((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. ------ 30596/1804458. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 30597/1804521. ------ 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. ------ 30598/1804548. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> (a (((^y.y)(^z.z))(^x1.a))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))(^z.a))) 7. ==[ beta ]==> (a ((^y.y)(^z.a))) 8. ==[ alpha ]==> (a ((^x.x)(^y.a))) 9. ==[ beta ]==> (a (^y.a)) 10. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 30599/1804575. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 30600/1804602. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a) a)(^b.(^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. ------ 30601/1804629. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^y.a))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.a))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 30602/1804656. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)(^z.b))) REDUCED to normal form. ------ 30603/1804683. ------ 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. ------ 30604/1804746. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.(^a.a))(^b.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. ------ 30605/1804773. ------ 1. ==[ start ]==> ((((^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 x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> ((a a)((^y.(y y))(^z.(z z)))) 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. ------ 30606/1804800. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x))) a) REDUCED to normal form. ------ 30607/1804854. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.x)(^y.b))) 3. ==[ beta ]==> ((a ((a a) a))(^y.b)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.b)) REDUCED to normal form. ------ 30608/1804890. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^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. ------ 30609/1804944. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (a a))((^z.z) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (a a))((^z.z) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (a a))((^z.z) a))) 5. ==[ beta ]==> (a ((a (a a))((^z.z) a))) 6. ==[ alpha ]==> (a ((a (a a))((^x.x) a))) 7. ==[ beta ]==> (a ((a (a a)) a)) REDUCED to normal form. ------ 30610/1805025. ------ 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. ------ 30611/1805061. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a)(^x1.x1))) REDUCED to normal form. ------ 30612/1805088. ------ 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))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(x x)))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.(x x)))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 30613/1805115. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a (a a))(^y.a))) REDUCED to normal form. ------ 30614/1805142. ------ 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.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) a)(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(x1 x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 30615/1805169. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 30616/1805205. ------ 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. ------ 30617/1805259. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(^z.z))(^x1.(^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. ------ 30618/1805286. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(y y))(^z.a))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(x x))(^y.a))) 5. ==[ beta ]==> (((a (a a)) a)((^y.a)(^y.a))) 6. ==[ alpha ]==> (((a (a a)) a)((^x.a)(^y.a))) 7. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 30619/1805313. ------ 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.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(z z)))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 30620/1805340. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 30621/1805367. ------ 1. ==[ start ]==> ((a (a b))((^a.a)(^c.a))) 2. ==[ alpha ]==> ((a (a b))((^x.x)(^y.a))) 3. ==[ beta ]==> ((a (a b))(^y.a)) 4. ==[ alpha ]==> ((a (a b))(^x.a)) REDUCED to normal form. ------ 30622/1805376. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(a ((a a) a))) 3. ==[ beta ]==> ((^y.b)(a ((a a) a))) 4. ==[ alpha ]==> ((^x.b)(a ((a a) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 30623/1805457. ------ 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.x1) a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) a)((^x1.x1) a))) IRREDUCIBLE: cycle. ------ 30624/1805547. ------ 1. ==[ start ]==> (((a b) a)(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b) a)(((^x.x)(^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. ------ 30625/1805574. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 30626/1805628. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 30627/1805655. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 30628/1805682. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1)(^y1.y1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1)(^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1)) a)) 5. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1)) a)) 6. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z)) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 30629/1805709. ------ 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. ------ 30630/1805736. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a) a) c)) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) a) c)) 3. ==[ beta ]==> (((a b)(^x.x))(a c)) REDUCED to normal form. ------ 30631/1805754. ------ 1. ==[ start ]==> ((a (^b.(a a)))(c ((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(c ((^y.y) a))) 3. ==[ beta ]==> ((a (^x.(a a)))(c a)) REDUCED to normal form. ------ 30632/1805772. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(^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. ------ 30633/1805799. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(^z.z))) REDUCED to normal form. ------ 30634/1805907. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(b (^y.(y y)))) REDUCED to normal form. ------ 30635/1805934. ------ 1. ==[ start ]==> (((a b)(a a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 30636/1805961. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(y y))(a a))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))(a a))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))(a a))) 5. ==[ beta ]==> ((a (a a))((a a)(a a))) REDUCED to normal form. ------ 30637/1805997. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(c c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(c c)) 3. ==[ beta ]==> ((^y.y)(c c)) 4. ==[ alpha ]==> ((^x.x)(c c)) 5. ==[ beta ]==> (c c) REDUCED to normal form. ------ 30638/1806132. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b ((^x1.x1) a))) 3. ==[ beta ]==> (b (b ((^x1.x1) a))) 4. ==[ alpha ]==> (b (b ((^x.x) a))) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 30639/1806168. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(y y)) a)) 3. ==[ beta ]==> (((a a) a)((^y.(y y)) a)) 4. ==[ alpha ]==> (((a a) a)((^x.(x x)) a)) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 30640/1806186. ------ 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))) 7. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 30641/1806195. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.a) b)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a) b)) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 30642/1806213. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((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. ------ 30643/1806222. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 30644/1806276. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 30645/1806303. ------ 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 (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(y y))((a (^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a (^y.y))(^z.(^x1.x1)))((a (^y.y))(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 30646/1806330. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a a)(^y.a))) REDUCED to normal form. ------ 30647/1806357. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z) a) a)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 30648/1806384. ------ 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)) REDUCED to normal form. ------ 30649/1806420. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.a))) 5. ==[ beta ]==> (((a a)(a a))(^y.a)) 6. ==[ alpha ]==> (((a a)(a a))(^x.a)) REDUCED to normal form. ------ 30650/1806447. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(c (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(c (^y.y))) REDUCED to normal form. ------ 30651/1806474. ------ 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. ------ 30652/1806501. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(a (^z.a))) 3. ==[ beta ]==> (((a (a a))(^y.y))(a (^z.a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(a (^y.a))) REDUCED to normal form. ------ 30653/1806528. ------ 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))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 30654/1806555. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.x)(a (^y.y)))) 5. ==[ beta ]==> ((((a a) a) a)(a (^y.y))) 6. ==[ alpha ]==> ((((a a) a) a)(a (^x.x))) REDUCED to normal form. ------ 30655/1806573. ------ 1. ==[ start ]==> (((^a.b) c)((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.b) c)((a (^y.y)) a)) 3. ==[ beta ]==> (b ((a (^y.y)) a)) 4. ==[ alpha ]==> (b ((a (^x.x)) a)) REDUCED to normal form. ------ 30656/1806582. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(^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. ------ 30657/1806609. ------ 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. ------ 30658/1806636. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(b (^y.y))) REDUCED to normal form. ------ 30659/1806672. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(b a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(b a)) 3. ==[ beta ]==> ((^y.y)(b a)) 4. ==[ alpha ]==> ((^x.x)(b a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 30660/1810068. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.(^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. ------ 30661/1810149. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 30662/1810188. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y)(^z.z)))) 5. ==[ beta ]==> (^y.((y y)(^z.z))) 6. ==[ alpha ]==> (^x.((x x)(^y.y))) REDUCED to normal form. ------ 30663/1810554. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 30664/1810653. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((^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))) 4. ==[ alpha ]==> ((((^x.x)(a a)) a)((((^y.y)(a a)) a)(((^z.z)(a a)) a))) 5. ==[ beta ]==> (((a a) a)((((^y.y)(a a)) a)(((^z.z)(a a)) a))) 6. ==[ alpha ]==> (((a a) a)((((^x.x)(a a)) a)(((^y.y)(a a)) a))) 7. ==[ beta ]==> (((a a) a)(((a a) a)(((^y.y)(a a)) a))) 8. ==[ alpha ]==> (((a a) a)(((a a) a)(((^x.x)(a a)) a))) 9. ==[ beta ]==> (((a a) a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 30665/1810854. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(^y.(^z.(a a)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 30666/1810863. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^y.(y y))) REDUCED to normal form. ------ 30667/1811637. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.b))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.b))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.b))) 5. ==[ beta ]==> (^y.(^z.b)) 6. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 30668/1811769. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 30669/1811961. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.a))) 3. ==[ beta ]==> ((^y.b)(^z.(^x1.a))) 4. ==[ alpha ]==> ((^x.b)(^y.(^z.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 30670/1812105. ------ 1. ==[ start ]==> ((((a a) a) b)(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a) b)(^x.(^z.z))) 4. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.y))) REDUCED to normal form. ------ 30671/1812123. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^a.(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(^x1.z))) 3. ==[ beta ]==> (b (^z.(^x1.z))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 30672/1812336. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.a)(^b.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. ------ 30673/1812510. ------ 1. ==[ start ]==> (((^a.b) b)(^c.(a (a a)))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(a (a a)))) 3. ==[ beta ]==> (b (^y.(a (a a)))) 4. ==[ alpha ]==> (b (^x.(a (a a)))) REDUCED to normal form. ------ 30674/1812543. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (a a))(^z.z))) 3. ==[ beta ]==> ((^y.y)(((a (a a))(^z.z))((a (a a))(^z.z)))) 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))) REDUCED to normal form. ------ 30675/1812636. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(a (a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(a (a a)))) 5. ==[ beta ]==> ((^y.y)(^y1.(a (a a)))) 6. ==[ alpha ]==> ((^x.x)(^y.(a (a a)))) 7. ==[ beta ]==> (^y.(a (a a))) 8. ==[ alpha ]==> (^x.(a (a a))) REDUCED to normal form. ------ 30676/1812753. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.(y (y y)))) 3. ==[ beta ]==> (((a a) a)(^y.(y (y y)))) 4. ==[ alpha ]==> (((a a) a)(^x.(x (x x)))) REDUCED to normal form. ------ 30677/1812852. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.(z1 z1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(^z1.(z1 z1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.(y1 y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(y1 y1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(x1 x1)))) 9. ==[ beta ]==> ((^y.y)(^z.(^x1.(x1 x1)))) 10. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 11. ==[ beta ]==> (^y.(^z.(z z))) 12. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 30678/1812933. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^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. ------ 30679/1813086. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^b.c)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(^z.c)) 3. ==[ beta ]==> (((a (a a))(^y.y))(^z.c)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.c)) REDUCED to normal form. ------ 30680/1813158. ------ 1. ==[ start ]==> (((^a.b) c)(^a.c)) 2. ==[ alpha ]==> (((^x.b) c)(^y.c)) 3. ==[ beta ]==> (b (^y.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 30681/1813218. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((((^z.(^x1.x1)) a)((^z.(^x1.x1)) a))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.y)) a)((^z.(^x1.x1)) a))(^y1.y1)) 5. ==[ beta ]==> (((^y.y)((^z.(^x1.x1)) a))(^y1.y1)) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(^x1.x1)) 7. ==[ beta ]==> (((^y.(^z.z)) a)(^x1.x1)) 8. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.z)) 9. ==[ beta ]==> ((^y.y)(^z.z)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 30682/1813257. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^a.(^a.(^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. ------ 30683/1813368. ------ 1. ==[ start ]==> ((a (^a.a))((^b.(^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. ------ 30684/1813422. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(^z.b))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.b))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.b))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 30685/1813449. ------ 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)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 30686/1813458. ------ 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. ------ 30687/1813485. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(a ((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.y)(a ((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.x)(a ((a a)(^y.y)))) 5. ==[ beta ]==> (a ((a a)(^y.y))) 6. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 30688/1813512. ------ 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. ------ 30689/1813539. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a b)(a (^y.y)))) REDUCED to normal form. ------ 30690/1813566. ------ 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. ------ 30691/1813593. ------ 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))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(a (a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a (a a))) REDUCED to normal form. ------ 30692/1813647. ------ 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. ------ 30693/1813692. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(b (^z.(a a)))) 3. ==[ beta ]==> ((^y.a)(b (^z.(a a)))) 4. ==[ alpha ]==> ((^x.a)(b (^y.(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 30694/1813773. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.b)(a (^z.z)))) 5. ==[ beta ]==> (a ((^y.b)(a (^z.z)))) 6. ==[ alpha ]==> (a ((^x.b)(a (^y.y)))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 30695/1813854. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(x x)))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(x x)))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.(x x)))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(^z.z))) 9. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 10. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 30696/1813899. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(^x1.b))) REDUCED to normal form. ------ 30697/1813926. ------ 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. ------ 30698/1813953. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(a a)) a)) 3. ==[ beta ]==> ((a (a (a a)))((a a) a)) REDUCED to normal form. ------ 30699/1813962. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.(y y))((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(a a))(^z.z))) 5. ==[ beta ]==> (((^y.(a a))(^z.z))((^y.(a a))(^z.z))) 6. ==[ alpha ]==> (((^x.(a a))(^y.y))((^z.(a a))(^x1.x1))) 7. ==[ beta ]==> ((a a)((^z.(a a))(^x1.x1))) 8. ==[ alpha ]==> ((a a)((^x.(a a))(^y.y))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 30700/1813989. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 30701/1814043. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 30702/1814070. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^y.(^z.z)))) 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. ------ 30703/1814097. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 30704/1814106. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(c ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(c ((a a) a))) REDUCED to normal form. ------ 30705/1814133. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^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. ------ 30706/1814151. ------ 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)(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. ------ 30707/1814160. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(a ((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(a (a a))) REDUCED to normal form. ------ 30708/1814196. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.b) b)) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.b) b)) 3. ==[ beta ]==> (((a a)(a (a a))) b) REDUCED to normal form. ------ 30709/1814268. ------ 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. ------ 30710/1814313. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(c (^c.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. ------ 30711/1814340. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(b (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 30712/1814394. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.b)(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.b)(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)(a a))) 5. ==[ beta ]==> ((^y.y)((^y1.b)(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(a a))) 7. ==[ beta ]==> ((^y.b)(a a)) 8. ==[ alpha ]==> ((^x.b)(a a)) 9. ==[ beta ]==> b REDUCED to normal form. ------ 30713/1814448. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 30714/1814475. ------ 1. ==[ start ]==> (((^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 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. ------ 30715/1814529. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 30716/1814601. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((a a) a) b)) 3. ==[ beta ]==> (((a a)(^y.y))(((a a) a) b)) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a) a) b)) REDUCED to normal form. ------ 30717/1814862. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)(a (a a)))) 5. ==[ beta ]==> (b (((^y.y) a)(a (a a)))) 6. ==[ alpha ]==> (b (((^x.x) a)(a (a a)))) 7. ==[ beta ]==> (b (a (a (a a)))) REDUCED to normal form. ------ 30718/1814889. ------ 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. ------ 30719/1814907. ------ 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. ------ 30720/1814934. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(a (^y1.b))) 3. ==[ beta ]==> ((^y.y)(a (^y1.b))) 4. ==[ alpha ]==> ((^x.x)(a (^y.b))) 5. ==[ beta ]==> (a (^y.b)) 6. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 30721/1814988. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(a (^x1.x1)))) 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. ------ 30722/1815069. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 30723/1815114. ------ 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))(^z.z))(((a a) a) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a) a) a)) REDUCED to normal form. ------ 30724/1815141. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y)(^z.z)) b)) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(^y.y)) b)) 5. ==[ beta ]==> ((a (a (a a)))((^y.y) b)) 6. ==[ alpha ]==> ((a (a (a a)))((^x.x) b)) 7. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 30725/1815240. ------ 1. ==[ start ]==> (((^a.b) a)(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(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. ------ 30726/1815258. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((^y.b)((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((^x.b)((^y.y)(^z.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 30727/1815402. ------ 1. ==[ start ]==> ((((a a) a) b)((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((a a)((^x.x)(^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. ------ 30728/1815420. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(a (^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(a (^z.a))) 3. ==[ beta ]==> (b (a (^z.a))) 4. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 30729/1815447. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 30730/1815474. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(z z))(a (^x1.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. ------ 30731/1815510. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(c d)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(c d)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(c d)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(c d)) REDUCED to normal form. ------ 30732/1815528. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(a (a 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. ------ 30733/1815609. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 30734/1815636. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 30735/1815708. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z)) a)) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 30736/1815735. ------ 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. ------ 30737/1815762. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.a) c)) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.a) c)) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a) c)) 5. ==[ beta ]==> (((^y.y) a)((^z.a) c)) 6. ==[ alpha ]==> (((^x.x) a)((^y.a) c)) 7. ==[ beta ]==> (a ((^y.a) c)) 8. ==[ alpha ]==> (a ((^x.a) c)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 30738/1815807. ------ 1. ==[ start ]==> (((^a.b) b)((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b) b)((a a)(a (a a)))) 3. ==[ beta ]==> (b ((a a)(a (a a)))) REDUCED to normal form. ------ 30739/1815843. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x)(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. ------ 30740/1815852. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(z z))(a a))) 3. ==[ beta ]==> ((^y.(a a))((^z.(z z))(a a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(y y))(a a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 30741/1815879. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((^y.a)(a (^z.z))) 6. ==[ alpha ]==> ((^x.a)(a (^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 30742/1815933. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(a (a a)))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)(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. ------ 30743/1816014. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 30744/1816023. ------ 1. ==[ start ]==> (((a b) b)(b ((^a.a) a))) 2. ==[ alpha ]==> (((a b) b)(b ((^x.x) a))) 3. ==[ beta ]==> (((a b) b)(b a)) REDUCED to normal form. ------ 30745/1816050. ------ 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. ------ 30746/1816077. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y) a)(a a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a (a a))) REDUCED to normal form. ------ 30747/1816095. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(c (^a.(^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. ------ 30748/1816104. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 30749/1816149. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(a (^y1.(y1 y1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(a (^y1.(y1 y1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a (^x1.(x1 x1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(a (^x1.(x1 x1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.(z z)))) 9. ==[ beta ]==> ((^y.y)(a (^z.(z z)))) 10. ==[ alpha ]==> ((^x.x)(a (^y.(y y)))) 11. ==[ beta ]==> (a (^y.(y y))) 12. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 30750/1816212. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(b c)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(b c)) REDUCED to normal form. ------ 30751/1816230. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^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. ------ 30752/1816329. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.a) a)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.a) a)) 3. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 30753/1816356. ------ 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. ------ 30754/1816410. ------ 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. ------ 30755/1816437. ------ 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. ------ 30756/1816455. ------ 1. ==[ start ]==> (((^a.b) c)(a c)) 2. ==[ alpha ]==> (((^x.b) c)(a c)) 3. ==[ beta ]==> (b (a c)) REDUCED to normal form. ------ 30757/1816464. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (^y.y)) a)) REDUCED to normal form. ------ 30758/1816491. ------ 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. ------ 30759/1816518. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 30760/1816554. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(a (^a.(^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. ------ 30761/1816791. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> ((^z.((z z)(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.z)) 5. ==[ beta ]==> (((^z.z)(^z.z))(^y.y)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 30762/1819815. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (((^z.(z (^x1.x1)))(^z.(z (^x1.x1))))(^y.y)) 4. ==[ alpha ]==> (((^x.(x (^y.y)))(^z.(z (^x1.x1))))(^y1.y1)) 5. ==[ beta ]==> (((^z.(z (^x1.x1)))(^y.y))(^y1.y1)) 6. ==[ alpha ]==> (((^x.(x (^y.y)))(^z.z))(^x1.x1)) 7. ==[ beta ]==> (((^z.z)(^y.y))(^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. ------ 30763/1820088. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 30764/1820094. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(a ((a a)(^z.z)))) 3. ==[ beta ]==> ((a ((a a)(^z.z)))(^y.y)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 30765/1820097. ------ 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. ------ 30766/1820283. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (^z.z))(a b))) 3. ==[ eta ]==> ((^y.y)((a (^z.z))(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. ------ 30767/1820331. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 30768/1820454. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 30769/1820547. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((a a)(^y.((^z.z)(a a)))) 4. ==[ alpha ]==> ((a a)(^x.((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 30770/1820763. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.(a a)))) REDUCED to normal form. ------ 30771/1820778. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(a a)) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 30772/1820904. ------ 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.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. ------ 30773/1821168. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.(a x1))) 3. ==[ eta ]==> ((((^x.x)(^y.y))(^z.z)) a) 4. ==[ beta ]==> (((^y.y)(^z.z)) a) 5. ==[ alpha ]==> (((^x.x)(^y.y)) a) 6. ==[ beta ]==> ((^y.y) a) 7. ==[ alpha ]==> ((^x.x) a) 8. ==[ beta ]==> a REDUCED to normal form. ------ 30774/1821336. ------ 1. ==[ start ]==> ((^a.((a a) a))(b ((a a) a))) 2. ==[ alpha ]==> ((^x.((x x) x))(b ((a a) a))) 3. ==[ beta ]==> (((b ((a a) a))(b ((a a) a)))(b ((a a) a))) REDUCED to normal form. ------ 30775/1821546. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.b))) REDUCED to normal form. ------ 30776/1821669. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 30777/1821849. ------ 1. ==[ start ]==> ((^a.(a b))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((b ((^y.y)(^z.z))) b) 4. ==[ alpha ]==> ((b ((^x.x)(^y.y))) b) 5. ==[ beta ]==> ((b (^y.y)) b) 6. ==[ alpha ]==> ((b (^x.x)) b) REDUCED to normal form. ------ 30778/1822032. ------ 1. ==[ start ]==> (((a b) a)(^a.(^c.a))) 2. ==[ alpha ]==> (((a b) a)(^x.(^y.x))) REDUCED to normal form. ------ 30779/1822167. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.a)(^z.((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)(^y.((^z.z)(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 30780/1822236. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a) a) c)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z) a) c)) 3. ==[ beta ]==> (^y.((((^z.z) a) c)(((^z.z) a) c))) 4. ==[ alpha ]==> (^x.((((^y.y) a) c)(((^z.z) a) c))) 5. ==[ beta ]==> (^x.((a c)(((^z.z) a) c))) 6. ==[ alpha ]==> (^x.((a c)(((^y.y) a) c))) 7. ==[ beta ]==> (^x.((a c)(a c))) REDUCED to normal form. ------ 30781/1822311. ------ 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.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))(^y.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 30782/1822419. ------ 1. ==[ start ]==> (((a b)(a a))(^c.(a (a a)))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(a (a a)))) REDUCED to normal form. ------ 30783/1822536. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(z1 z1)))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.(z1 z1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 7. ==[ beta ]==> (^y.(^z.(z z))) 8. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 30784/1822653. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.(^z.(z z)))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.(z z)))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 30785/1822761. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 30786/1822833. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^c.(^b.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. ------ 30787/1822842. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 30788/1822932. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.((^z.z) y))) 3. ==[ eta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 30789/1823058. ------ 1. ==[ start ]==> (((^a.b) c)(^b.(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)))) REDUCED to normal form. ------ 30790/1823067. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^a.c)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.c)) REDUCED to normal form. ------ 30791/1823118. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(a (a (^z.z)))) 3. ==[ beta ]==> (((a (a (^z.z)))(a (a (^z.z))))(^y.y)) 4. ==[ alpha ]==> (((a (a (^x.x)))(a (a (^y.y))))(^z.z)) REDUCED to normal form. ------ 30792/1823121. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(y (^z.z)))) REDUCED to normal form. ------ 30793/1823157. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^b.b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^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. ------ 30794/1823286. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (a ((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 30795/1823340. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.b))) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 30796/1823367. ------ 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)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 30797/1823376. ------ 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. ------ 30798/1823403. ------ 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. ------ 30799/1823439. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(a a)) b)) 3. ==[ beta ]==> ((^y.y)((^x1.(a a)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) b)) 5. ==[ beta ]==> ((^y.(a a)) b) 6. ==[ alpha ]==> ((^x.(a a)) b) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 30800/1823466. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.b) c)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.b) c)) 3. ==[ beta ]==> ((a (^y.y))((^z.b) c)) 4. ==[ alpha ]==> ((a (^x.x))((^y.b) c)) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 30801/1823538. ------ 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. ------ 30802/1823565. ------ 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. ------ 30803/1823592. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))(a b))) 3. ==[ beta ]==> ((a a)((a (^y.y))(a b))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(a b))) REDUCED to normal form. ------ 30804/1823637. ------ 1. ==[ start ]==> (((a (^a.a)) b)(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(a (^y.(^z.z)))) REDUCED to normal form. ------ 30805/1823664. ------ 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))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 30806/1823682. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a b)(^a.(^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. ------ 30807/1823691. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 30808/1823709. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 30809/1823745. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 30810/1823763. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 30811/1823853. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 30812/1823871. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(a a)) a)) 3. ==[ beta ]==> ((^y.(y y))(((^z.z)(a a)) a)) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y)(a a)) a)) 5. ==[ beta ]==> ((((^y.y)(a a)) a)(((^y.y)(a a)) a)) 6. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y)(a a)) a)) 7. ==[ beta ]==> (((a a) a)(((^y.y)(a a)) a)) 8. ==[ alpha ]==> (((a a) a)(((^x.x)(a a)) a)) 9. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 30813/1823898. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a b) b)) 3. ==[ beta ]==> ((^y.y)((a b) b)) 4. ==[ alpha ]==> ((^x.x)((a b) b)) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 30814/1823934. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.a)(^b.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. ------ 30815/1823961. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a (a a)) a)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 30816/1823988. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((^z.(^x1.x1))(^z.(^x1.x1)))) 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. ------ 30817/1824015. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 30818/1824042. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(^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. ------ 30819/1824069. ------ 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))(^x.x))(^z.(a a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(a a))) REDUCED to normal form. ------ 30820/1824087. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a)) a)) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 30821/1824105. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a b)(a a))) REDUCED to normal form. ------ 30822/1824132. ------ 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. ------ 30823/1824159. ------ 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 (^x.x)))((^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. ------ 30824/1824186. ------ 1. ==[ start ]==> (((a (a a))(a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 30825/1824213. ------ 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.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(a ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(a ((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 8. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 30826/1824303. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a b)(^x1.x1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a b)(^x1.x1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)(^y1.y1))) 5. ==[ beta ]==> ((^y.y)((a b)(^y1.y1))) 6. ==[ alpha ]==> ((^x.x)((a b)(^y.y))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 30827/1824312. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.b)(a a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.b)(a a))) 3. ==[ beta ]==> (((a (a a)) b) b) REDUCED to normal form. ------ 30828/1824357. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.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. ------ 30829/1824366. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 30830/1824384. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> ((^y.y)((a (a 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. ------ 30831/1824393. ------ 1. ==[ start ]==> (((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 a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 30832/1824420. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 30833/1824447. ------ 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. ------ 30834/1824474. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^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. ------ 30835/1824645. ------ 1. ==[ start ]==> ((a ((a a) a))(b ((a a) a))) REDUCED to normal form. ------ 30836/1824681. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b) a)) 3. ==[ beta ]==> ((^y.y)((^y1.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. ------ 30837/1824735. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.(^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. ------ 30838/1824852. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.b))) REDUCED to normal form. ------ 30839/1824897. ------ 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))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> ((a a)((^y.y)(^z.(^x1.x1)))) 10. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.z)))) 11. ==[ beta ]==> ((a a)(^y.(^z.z))) 12. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 30840/1824906. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.(^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. ------ 30841/1824933. ------ 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 y1))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(y1 y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((^x1.x1) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 30842/1824960. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 30843/1824978. ------ 1. ==[ start ]==> ((a (^a.b))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 30844/1825149. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^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. ------ 30845/1825158. ------ 1. ==[ start ]==> ((a (a b))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(b ((^x.x)(^y.y)))) 3. ==[ beta ]==> ((a (a b))(b (^y.y))) 4. ==[ alpha ]==> ((a (a b))(b (^x.x))) REDUCED to normal form. ------ 30846/1825311. ------ 1. ==[ start ]==> ((((a a) a) b)(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(b (^x.(^y.y)))) REDUCED to normal form. ------ 30847/1825338. ------ 1. ==[ start ]==> (((a b) a)(a (^c.a))) 2. ==[ alpha ]==> (((a b) a)(a (^x.a))) REDUCED to normal form. ------ 30848/1825356. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 30849/1825365. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 30850/1825383. ------ 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. ------ 30851/1825419. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 30852/1825437. ------ 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)))((a (^y.y))(^z.(z z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 30853/1825446. ------ 1. ==[ start ]==> (((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 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. ------ 30854/1825473. ------ 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.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.a)((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 30855/1825500. ------ 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. ------ 30856/1825518. ------ 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)) b)) REDUCED to normal form. ------ 30857/1825527. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.x))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 30858/1825545. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a) a) c)) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a) c)) 3. ==[ beta ]==> ((a (^x.(a a)))(a c)) REDUCED to normal form. ------ 30859/1825563. ------ 1. ==[ start ]==> (((a a)(a b))(c ((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a b))(c ((^x.x) a))) 3. ==[ beta ]==> (((a a)(a b))(c a)) REDUCED to normal form. ------ 30860/1825590. ------ 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. ------ 30861/1825617. ------ 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.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(a ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(a ((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 8. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 30862/1825644. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a (a a))(a a))) REDUCED to normal form. ------ 30863/1825671. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1) a)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1) a)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) a)(a (^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z) a)(a (^x1.x1)))) 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)))) 9. ==[ beta ]==> (a (a (a (^y.y)))) 10. ==[ alpha ]==> (a (a (a (^x.x)))) REDUCED to normal form. ------ 30864/1825698. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((a (^y.y)) a)) REDUCED to normal form. ------ 30865/1825716. ------ 1. ==[ start ]==> (((^a.b) b)(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)(b (^y.(y y)))) 3. ==[ beta ]==> (b (b (^y.(y y)))) 4. ==[ alpha ]==> (b (b (^x.(x x)))) REDUCED to normal form. ------ 30866/1825725. ------ 1. ==[ start ]==> (((a b)(a a))((a a)(a (a a)))) REDUCED to normal form. ------ 30867/1825761. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(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))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 30868/1825788. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 30869/1825842. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.y)((a a)(^y1.(y1 y1)))) 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. ------ 30870/1825923. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1)) c)) 3. ==[ beta ]==> (b ((a (^x1.x1)) c)) 4. ==[ alpha ]==> (b ((a (^x.x)) c)) REDUCED to normal form. ------ 30871/1825932. ------ 1. ==[ start ]==> (((a b) b)((^a.(^a.a))(^b.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. ------ 30872/1825959. ------ 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)))) 5. ==[ beta ]==> (((a a) a)(^y.(y y))) 6. ==[ alpha ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 30873/1825977. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(z z)) a)) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(z z)) a)) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y)) a)) 5. ==[ beta ]==> ((a a)((^y.(y y)) a)) 6. ==[ alpha ]==> ((a a)((^x.(x x)) a)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 30874/1826004. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 30875/1826013. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(c (^z.(^x1.x1)))) REDUCED to normal form. ------ 30876/1826067. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (^z.(z z)))) REDUCED to normal form. ------ 30877/1826094. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.a)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)(a a))) 5. ==[ beta ]==> ((^y.(y y))((^z.a)(a a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.a)(a a))) 7. ==[ beta ]==> (((^y.a)(a a))((^y.a)(a a))) 8. ==[ alpha ]==> (((^x.a)(a a))((^y.a)(a a))) 9. ==[ beta ]==> (a ((^y.a)(a a))) 10. ==[ alpha ]==> (a ((^x.a)(a a))) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 30878/1826121. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(^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. ------ 30879/1826139. ------ 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 ((a a)(^z.a))) 4. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 30880/1826148. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 30881/1826175. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 30882/1826211. ------ 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. ------ 30883/1826238. ------ 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. ------ 30884/1826265. ------ 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. ------ 30885/1826292. ------ 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. ------ 30886/1826346. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(b b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(b b)) 3. ==[ beta ]==> ((((a a) a) a)(b b)) REDUCED to normal form. ------ 30887/1826364. ------ 1. ==[ start ]==> (((^a.b) c)((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 30888/1826373. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(a c)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(a c)) REDUCED to normal form. ------ 30889/1826400. ------ 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. ------ 30890/1826427. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (a (^y.y)))) REDUCED to normal form. ------ 30891/1826463. ------ 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)((^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. ------ 30892/1826709. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^z.(^x1.(^y1.y1)))(^y.y)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 30893/1827168. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^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))))) 4. ==[ alpha ]==> ((^x.((^y.y)(a a)))((^z.((^x1.x1)(a a)))(^y1.((^z1.z1)(a a))))) 5. ==[ beta ]==> ((^y.y)(a a)) 6. ==[ alpha ]==> ((^x.x)(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 30894/1827393. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 30895/1829058. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 30896/1829733. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^b.(^a.(^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. ------ 30897/1829913. ------ 1. ==[ start ]==> ((^a.(a a))((^b.(^a.a))(^b.(^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. ------ 30898/1829940. ------ 1. ==[ start ]==> ((^a.b)((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((^x.b)((^y.(y y))(^z.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 30899/1830024. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 30900/1830033. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((x1 x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.((x1 x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((z z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 30901/1830138. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (^y.(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (^x.(((^y.y)(^z.z))(a (a a)))) 5. ==[ beta ]==> (^x.((^z.z)(a (a a)))) 6. ==[ alpha ]==> (^x.((^y.y)(a (a a)))) 7. ==[ beta ]==> (^x.(a (a a))) REDUCED to normal form. ------ 30902/1830480. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(((^y.y)((^z.z)(a a)))((^y.y)((^z.z)(a a))))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z)((^x1.x1)(a a)))((^y1.y1)((^z1.z1)(a a))))) 5. ==[ beta ]==> (((^y.y)(a a))(((^z.z)((^x1.x1)(a a)))((^y1.y1)((^z1.z1)(a a))))) 6. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)((^z.z)(a a)))((^x1.x1)((^y1.y1)(a a))))) 7. ==[ beta ]==> ((a a)(((^y.y)((^z.z)(a a)))((^x1.x1)((^y1.y1)(a a))))) 8. ==[ alpha ]==> ((a a)(((^x.x)((^y.y)(a a)))((^z.z)((^x1.x1)(a a))))) 9. ==[ beta ]==> ((a a)(((^y.y)(a a))((^z.z)((^x1.x1)(a a))))) 10. ==[ alpha ]==> ((a a)(((^x.x)(a a))((^y.y)((^z.z)(a a))))) 11. ==[ beta ]==> ((a a)((a a)((^y.y)((^z.z)(a a))))) 12. ==[ alpha ]==> ((a a)((a a)((^x.x)((^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. ------ 30903/1830483. ------ 1. ==[ start ]==> ((a (a (a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a (a a)))(^x.(a a))) REDUCED to normal form. ------ 30904/1830705. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 30905/1830708. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 30906/1831302. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^a.(a 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)) REDUCED to normal form. ------ 30907/1831644. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.((a a) a))) REDUCED to normal form. ------ 30908/1831776. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.y1))) b) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1))) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 30909/1831950. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (^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. ------ 30910/1832094. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^c.(^b.(^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. ------ 30911/1832238. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 30912/1832370. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(a (^z.(^x1.x1))))) 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)))) REDUCED to normal form. ------ 30913/1832373. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a 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. ------ 30914/1832598. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.(z (z z)))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(z (z z)))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(y (y y)))) 5. ==[ beta ]==> ((a a)(^y.(y (y y)))) 6. ==[ alpha ]==> ((a a)(^x.(x (x x)))) REDUCED to normal form. ------ 30915/1832769. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^c.(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 30916/1832859. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.a))) REDUCED to normal form. ------ 30917/1832940. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(^a.(^b.a))) 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. ------ 30918/1832985. ------ 1. ==[ start ]==> (((^a.b) c)(^c.(^a.(^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. ------ 30919/1832994. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 30920/1833045. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^z.z)(^x1.(^y1.y1)))((^z.z)(^x1.(^y1.y1))))(^y.y)) 4. ==[ alpha ]==> ((((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1))))(^x2.x2)) 5. ==[ beta ]==> (((^y.(^z.z))((^x1.x1)(^y1.(^z1.z1))))(^x2.x2)) 6. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.(^y1.y1))))(^z1.z1)) 7. ==[ beta ]==> ((^y.y)(^z1.z1)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 30921/1833048. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 30922/1833084. ------ 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)(^x1.(a a))) 4. ==[ alpha ]==> ((^x.x)(^y.(a a))) 5. ==[ beta ]==> (^y.(a a)) 6. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 30923/1833231. ------ 1. ==[ start ]==> ((a (a a))((^b.(^a.a))(^b.(^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. ------ 30924/1833258. ------ 1. ==[ start ]==> ((a b)((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((a b)((^x.(x x))(^y.a))) 3. ==[ beta ]==> ((a b)((^y.a)(^y.a))) 4. ==[ alpha ]==> ((a b)((^x.a)(^y.a))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 30925/1833312. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 30926/1833348. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a ((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a ((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a ((a a)(^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 30927/1833357. ------ 1. ==[ start ]==> (((a a) b)((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 30928/1833375. ------ 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. ------ 30929/1833384. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(a a)) b)) 3. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 30930/1833402. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a b)(a (^z.z)))) 3. ==[ beta ]==> ((a (^y.y))((a b)(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))((a b)(a (^y.y)))) REDUCED to normal form. ------ 30931/1833411. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b) c)) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 30932/1833429. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((a a) a)((^z.z) 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. ------ 30933/1833456. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a (^x.a))((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)(a (a a)))) 5. ==[ beta ]==> ((a (^x.a))(a (a a))) REDUCED to normal form. ------ 30934/1833537. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.z))(a b))) 3. ==[ beta ]==> ((^y.a)((a (^z.z))(a b))) 4. ==[ alpha ]==> ((^x.a)((a (^y.y))(a b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 30935/1833564. ------ 1. ==[ start ]==> (((^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)))) 3. ==[ beta ]==> ((^y.y)((a a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)((^y.y)(a a))) 6. ==[ alpha ]==> ((a a)((^x.x)(a a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 30936/1833600. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a)(a a))(^a.a))) 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))) 5. ==[ beta ]==> ((a a)((a a)(^y.y))) 6. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 30937/1833627. ------ 1. ==[ start ]==> (((a a)(^b.a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 30938/1833654. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a)(^x1.a))) REDUCED to normal form. ------ 30939/1833681. ------ 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.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(z z)))) 7. ==[ beta ]==> ((a (^x.x))(^z.(z z))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 30940/1833717. ------ 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) a)((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))((^y.y)(^z.z)))) 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. ------ 30941/1833744. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 30942/1833771. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(^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. ------ 30943/1833789. ------ 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 a)(^y.(a a)))) 4. ==[ alpha ]==> ((a a)((a a)(^x.(a a)))) REDUCED to normal form. ------ 30944/1833798. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.x)((^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. ------ 30945/1833870. ------ 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. ------ 30946/1833996. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(b (a b))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(b (a b))) 3. ==[ beta ]==> (((a a)(a a))(b (a b))) REDUCED to normal form. ------ 30947/1834023. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 30948/1834158. ------ 1. ==[ start ]==> (((^a.a)(^b.(^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 ]==> ((^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. ------ 30949/1834185. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a (^x1.x1))((a a) a))) 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. ------ 30950/1834248. ------ 1. ==[ start ]==> (((a (a a)) b)((a b)(^a.a))) 2. ==[ alpha ]==> (((a (a a)) b)((a b)(^x.x))) REDUCED to normal form. ------ 30951/1834275. ------ 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. ------ 30952/1834302. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 30953/1834329. ------ 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.(z z)))) REDUCED to normal form. ------ 30954/1834356. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a) a)(^b.(^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. ------ 30955/1834410. ------ 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. ------ 30956/1834446. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.b)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 30957/1834500. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a ((^x.x) 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. ------ 30958/1834527. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 30959/1834554. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.a)(^b.(^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. ------ 30960/1834617. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(a (a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 30961/1834671. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z)(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (a (((^z.z)(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))(a (^z.z)))) 7. ==[ beta ]==> (a ((^y.y)(a (^z.z)))) 8. ==[ alpha ]==> (a ((^x.x)(a (^y.y)))) 9. ==[ beta ]==> (a (a (^y.y))) 10. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 30962/1834752. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((a (^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)((a (^x.x))(^z.z))) 6. ==[ alpha ]==> (((a a) a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 30963/1834779. ------ 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)((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. ------ 30964/1834815. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((a a) a)(^z.z))) 3. ==[ beta ]==> ((a (^y.(y y)))(((a a) a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((a a) a)(^y.y))) REDUCED to normal form. ------ 30965/1834842. ------ 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))(^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. ------ 30966/1834869. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (a a))(^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. ------ 30967/1834896. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(a (^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 30968/1834932. ------ 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.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. ------ 30969/1834959. ------ 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)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)((a a) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((a a) a)) REDUCED to normal form. ------ 30970/1835013. ------ 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))(^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. ------ 30971/1835040. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.a))) 7. ==[ beta ]==> ((a (^x.x))((^z.a)(^z.a))) 8. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.a))) 9. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 30972/1835067. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.a)(^y.(y y)))) 3. ==[ beta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 30973/1835094. ------ 1. ==[ start ]==> ((a (a b))((^a.(^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. ------ 30974/1835103. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.b)(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 30975/1835184. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (a a))(a (^z.z)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (a a))(a (^z.z)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (a a))(a (^z.z)))) IRREDUCIBLE: cycle. ------ 30976/1835265. ------ 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 ((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. ------ 30977/1835301. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.b))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 30978/1835355. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 30979/1835382. ------ 1. ==[ start ]==> (((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 z)))) REDUCED to normal form. ------ 30980/1835409. ------ 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 REDUCED to normal form. ------ 30981/1835436. ------ 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. ------ 30982/1835463. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (a a)) b)) 2. ==[ alpha ]==> (((a b)(^x.x))((a (a a)) b)) REDUCED to normal form. ------ 30983/1835499. ------ 1. ==[ start ]==> (((a a)(a b))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.a)(^y.a))) 3. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 30984/1835526. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 30985/1835553. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 30986/1835661. ------ 1. ==[ start ]==> (((a b)(a a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))(b (^x.(x x)))) REDUCED to normal form. ------ 30987/1835688. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(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. ------ 30988/1835859. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c (a (^x1.x1)))) 3. ==[ beta ]==> (b (c (a (^x1.x1)))) 4. ==[ alpha ]==> (b (c (a (^x.x)))) REDUCED to normal form. ------ 30989/1835868. ------ 1. ==[ start ]==> (((a b) b)((a (^a.a)) c)) 2. ==[ alpha ]==> (((a b) b)((a (^x.x)) c)) REDUCED to normal form. ------ 30990/1835913. ------ 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. ------ 30991/1835922. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(y y)) a)) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a a)) REDUCED to normal form. ------ 30992/1835940. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^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. ------ 30993/1835949. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 30994/1835994. ------ 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)) 13. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 30995/1836030. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z) a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)(^z.z))) 7. ==[ beta ]==> ((((^y.y) a)(^z.z))(((^y.y) a)(^z.z))) 8. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z) a)(^x1.x1))) 9. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.x1))) 10. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.z))) 11. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 12. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 30996/1836057. ------ 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)))) REDUCED to normal form. ------ 30997/1836075. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(b c)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(b c)) 3. ==[ beta ]==> (b (b c)) REDUCED to normal form. ------ 30998/1836084. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 30999/1836111. ------ 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)(^x.x))(a a)) REDUCED to normal form. ------ 31000/1836147. ------ 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)))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 31001/1836174. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.a)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.a)) REDUCED to normal form. ------ 31002/1836228. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 31003/1836255. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(a (^z.a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(a (^z.a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(a (^y.a))) 5. ==[ beta ]==> ((a (a a))(a (^y.a))) 6. ==[ alpha ]==> ((a (a a))(a (^x.a))) REDUCED to normal form. ------ 31004/1836282. ------ 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))) 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. ------ 31005/1836300. ------ 1. ==[ start ]==> (((^a.b) c)((a a)(^a.(^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. ------ 31006/1836309. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(a (^z.z))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 31007/1836336. ------ 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. ------ 31008/1836363. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 31009/1836399. ------ 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))) 4. ==[ alpha ]==> ((^x.x)((a a)(a a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 31010/1837338. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^b.(^b.(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. ------ 31011/1839930. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 31012/1839987. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 31013/1839996. ------ 1. ==[ start ]==> (((a a) b)(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 31014/1840212. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^y.(a a))) REDUCED to normal form. ------ 31015/1840335. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 31016/1840434. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a a)(^y.(a a)))) 3. ==[ beta ]==> (((a a)(^y.(a a)))(((a a)(^y.(a a)))((a a)(^y.(a a))))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(((a a)(^y.(a a)))((a a)(^z.(a a))))) REDUCED to normal form. ------ 31017/1840446. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.(y y))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.(x x))(^y.((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.((^z.z)(a a)))(^y.((^z.z)(a a)))) 6. ==[ alpha ]==> ((^x.((^y.y)(a a)))(^z.((^x1.x1)(a a)))) 7. ==[ beta ]==> ((^y.y)(a a)) 8. ==[ alpha ]==> ((^x.x)(a a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 31018/1840659. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 31019/1840662. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 31020/1840878. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(y1 y1)))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(y y)))) 7. ==[ beta ]==> (^y.(^z.(y y))) 8. ==[ alpha ]==> (^x.(^y.(x x))) REDUCED to normal form. ------ 31021/1841256. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 31022/1841427. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^c.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.((a a) a))) REDUCED to normal form. ------ 31023/1841550. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a)(a (a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 31024/1841913. ------ 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)(^x.(^z.z))) 4. ==[ alpha ]==> (((a b) a)(^x.(^y.y))) REDUCED to normal form. ------ 31025/1841931. ------ 1. ==[ start ]==> (((^a.a)(a b))(^a.(^c.a))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.y))) 3. ==[ beta ]==> ((a b)(^y.(^z.y))) 4. ==[ alpha ]==> ((a b)(^x.(^y.x))) REDUCED to normal form. ------ 31026/1842117. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(((^z.(z z))(^x1.(^y1.y1)))((^z.(z z))(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.(((^y.(y y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2))))) 5. ==[ beta ]==> (^x.(((^z.(^x1.x1))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2))))) 6. ==[ alpha ]==> (^x.(((^y.(^z.z))(^x1.(^y1.y1)))((^z1.(z1 z1))(^x2.(^y2.y2))))) 7. ==[ beta ]==> (^x.((^z.z)((^z1.(z1 z1))(^x2.(^y2.y2))))) 8. ==[ alpha ]==> (^x.((^y.y)((^z.(z z))(^x1.(^y1.y1))))) 9. ==[ beta ]==> (^x.((^z.(z z))(^x1.(^y1.y1)))) 10. ==[ alpha ]==> (^x.((^y.(y y))(^z.(^x1.x1)))) 11. ==[ beta ]==> (^x.((^z.(^x1.x1))(^z.(^x1.x1)))) 12. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(^y1.y1)))) 13. ==[ beta ]==> (^x.(^z.z)) 14. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 31027/1842336. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 31028/1842552. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.(z z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.(z z)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 31029/1842561. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(y (y y)))) REDUCED to normal form. ------ 31030/1842642. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 31031/1842813. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^c.c)) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 31032/1842894. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(^b.c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(^z.c)) 3. ==[ beta ]==> (((^y.y)(a (a a)))(^z.c)) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.c)) 5. ==[ beta ]==> ((a (a a))(^y.c)) 6. ==[ alpha ]==> ((a (a a))(^x.c)) REDUCED to normal form. ------ 31033/1842939. ------ 1. ==[ start ]==> (((^a.b) c)(^d.b)) 2. ==[ alpha ]==> (((^x.b) c)(^y.b)) 3. ==[ beta ]==> (b (^y.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 31034/1842948. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 31035/1842999. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a a) b)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a a) b)) 3. ==[ beta ]==> ((((a a) b)((a a) b))(^y.y)) 4. ==[ alpha ]==> ((((a a) b)((a a) b))(^x.x)) REDUCED to normal form. ------ 31036/1843203. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 31037/1843257. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 31038/1843266. ------ 1. ==[ start ]==> (((^a.a) b)(c (a b))) 2. ==[ alpha ]==> (((^x.x) b)(c (a b))) 3. ==[ beta ]==> (b (c (a b))) REDUCED to normal form. ------ 31039/1843293. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(b ((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)(b ((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y)(a a)))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 31040/1843320. ------ 1. ==[ start ]==> (((a a) b)(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 31041/1843347. ------ 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. ------ 31042/1843374. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)(a (^z.z)))) REDUCED to normal form. ------ 31043/1843401. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(((a a) a) a)) REDUCED to normal form. ------ 31044/1843455. ------ 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 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. ------ 31045/1843500. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(c (^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(c (^z.b))) 3. ==[ beta ]==> ((^y.a)(c (^z.b))) 4. ==[ alpha ]==> ((^x.a)(c (^y.b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 31046/1843527. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(b (^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 31047/1843536. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)((a a)(a a))) REDUCED to normal form. ------ 31048/1843581. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(a a))(a a))) 3. ==[ beta ]==> (((^y.y) a)((^z.(a a))(a a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(a a))(a a))) 5. ==[ beta ]==> (a ((^y.(a a))(a a))) 6. ==[ alpha ]==> (a ((^x.(a a))(a a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 31049/1843608. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 31050/1843662. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 31051/1843680. ------ 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)))) 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. ------ 31052/1843734. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((a (^y.y))(^z.b))) 3. ==[ beta ]==> ((a (a a))((a (^y.y))(^z.b))) 4. ==[ alpha ]==> ((a (a a))((a (^x.x))(^y.b))) REDUCED to normal form. ------ 31053/1843761. ------ 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. ------ 31054/1843770. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.(y y))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^y.y)((^z.z)(a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.z)((^x1.x1)(a a)))) 7. ==[ beta ]==> (((^y.y)(a a))((^z.z)((^x1.x1)(a a)))) 8. ==[ alpha ]==> (((^x.x)(a a))((^y.y)((^z.z)(a a)))) 9. ==[ beta ]==> ((a a)((^y.y)((^z.z)(a a)))) 10. ==[ alpha ]==> ((a a)((^x.x)((^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. ------ 31055/1843797. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 31056/1843878. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 31057/1843905. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 31058/1843959. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 31059/1843968. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(b (a b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(b (a b))) REDUCED to normal form. ------ 31060/1843986. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 31061/1844004. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(a a)) a)) 3. ==[ beta ]==> (((a a)(a (a a)))(a a)) REDUCED to normal form. ------ 31062/1844031. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.b) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.b) b)) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.b) b)) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.b) b)) 5. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 31063/1844076. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((b b)(((^y.y)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((b b)(((^x.x)(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((b b)((^y.y)((^z.z) a))) 6. ==[ alpha ]==> ((b b)((^x.x)((^y.y) a))) 7. ==[ beta ]==> ((b b)((^y.y) a)) 8. ==[ alpha ]==> ((b b)((^x.x) a)) 9. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 31064/1844202. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a (^x1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a (^x1.(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (^y1.(a a)))) 5. ==[ beta ]==> ((^y.y)(a (^y1.(a a)))) 6. ==[ alpha ]==> ((^x.x)(a (^y.(a a)))) 7. ==[ beta ]==> (a (^y.(a a))) 8. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 31065/1844283. ------ 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))((^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. ------ 31066/1844337. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 31067/1844409. ------ 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)(^y.y))((a b) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((a b) a)) REDUCED to normal form. ------ 31068/1844436. ------ 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. ------ 31069/1844580. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.b))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.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. ------ 31070/1844670. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (a a))((^z.z) a))) 3. ==[ beta ]==> (((^y.y) b)((a (a a))((^z.z) a))) 4. ==[ alpha ]==> (((^x.x) b)((a (a a))((^y.y) a))) 5. ==[ beta ]==> (b ((a (a a))((^y.y) a))) 6. ==[ alpha ]==> (b ((a (a a))((^x.x) a))) 7. ==[ beta ]==> (b ((a (a a)) a)) REDUCED to normal form. ------ 31071/1844697. ------ 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. ------ 31072/1844742. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 31073/1844751. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)((a a) a))) REDUCED to normal form. ------ 31074/1844877. ------ 1. ==[ start ]==> ((a (^a.b))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.a)(a (a a)))) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 31075/1844895. ------ 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. ------ 31076/1844949. ------ 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. ------ 31077/1844976. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y)(^z.z)) b)) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(^y.y)) b)) 5. ==[ beta ]==> (((a (a a)) a)((^y.y) b)) 6. ==[ alpha ]==> (((a (a a)) a)((^x.x) b)) 7. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 31078/1845048. ------ 1. ==[ start ]==> (((^a.b) a)(c (a (a a)))) 2. ==[ alpha ]==> (((^x.b) a)(c (a (a a)))) 3. ==[ beta ]==> (b (c (a (a a)))) REDUCED to normal form. ------ 31079/1845066. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 31080/1845210. ------ 1. ==[ start ]==> ((((a a) a) b)((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a) b)((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 31081/1845228. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 31082/1845237. ------ 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. ------ 31083/1845255. ------ 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. ------ 31084/1845282. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(a a)) 6. ==[ alpha ]==> ((^x.(^y.y))(a a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 31085/1845336. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.a)((^z.z) a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.a)((^y.y) a))) 5. ==[ beta ]==> (((a (a a))(a (a a))) a) REDUCED to normal form. ------ 31086/1845417. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 31087/1845444. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(a a)))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 31088/1845462. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a) a) c)) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x) a) c)) 3. ==[ beta ]==> (((a a)(a b))(a c)) REDUCED to normal form. ------ 31089/1845543. ------ 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. ------ 31090/1845570. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(x1 x1)) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(z z)) b)) 5. ==[ beta ]==> (((^y.y) a)((^z.(z z)) b)) 6. ==[ alpha ]==> (((^x.x) a)((^y.(y y)) b)) 7. ==[ beta ]==> (a ((^y.(y y)) b)) 8. ==[ alpha ]==> (a ((^x.(x x)) b)) 9. ==[ beta ]==> (a (b b)) REDUCED to normal form. ------ 31091/1845597. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.a) c)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.a) c)) 3. ==[ beta ]==> ((((a a) a)(a (^x.x))) a) REDUCED to normal form. ------ 31092/1845615. ------ 1. ==[ start ]==> (((^a.b) b)((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) 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 (^x.x)) a)) REDUCED to normal form. ------ 31093/1845660. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(a a))(a (^y.(^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 31094/1845687. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(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. ------ 31095/1845741. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2) a))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((^x2.x2) a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 31096/1845822. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 31097/1845831. ------ 1. ==[ start ]==> (((a b) b)(c (a (^a.a)))) 2. ==[ alpha ]==> (((a b) b)(c (a (^x.x)))) REDUCED to normal form. ------ 31098/1845858. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(b ((^y.y) a))) 3. ==[ beta ]==> (((a a) a)(b ((^y.y) a))) 4. ==[ alpha ]==> (((a a) a)(b ((^x.x) a))) 5. ==[ beta ]==> (((a a) a)(b a)) REDUCED to normal form. ------ 31099/1845876. ------ 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)))) 7. ==[ beta ]==> ((a a)(^y.(y y))) 8. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 31100/1845885. ------ 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. ------ 31101/1845912. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z) a)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a (a a))) REDUCED to normal form. ------ 31102/1845957. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(b (^x1.a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(b (^x1.a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b (^y1.a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b (^y1.a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b (^x1.a))) 7. ==[ beta ]==> (((^y.y)(^z.z))(b (^x1.a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.a))) 9. ==[ beta ]==> ((^y.y)(b (^z.a))) 10. ==[ alpha ]==> ((^x.x)(b (^y.a))) 11. ==[ beta ]==> (b (^y.a)) 12. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 31103/1845966. ------ 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))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 31104/1846020. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(c b)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(c b)) REDUCED to normal form. ------ 31105/1846038. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(^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. ------ 31106/1846047. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(b c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b c)) REDUCED to normal form. ------ 31107/1846110. ------ 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)) REDUCED to normal form. ------ 31108/1846137. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a a) c)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a a) c)) REDUCED to normal form. ------ 31109/1846164. ------ 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. ------ 31110/1846191. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z)) b)) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 31111/1846245. ------ 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))) REDUCED to normal form. ------ 31112/1846263. ------ 1. ==[ start ]==> (((^a.b) c)(b b)) 2. ==[ alpha ]==> (((^x.b) c)(b b)) 3. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 31113/1846272. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 31114/1846299. ------ 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. ------ 31115/1846326. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a a) b)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a) b)) REDUCED to normal form. ------ 31116/1846362. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(b (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(b (^x1.x1))) 3. ==[ beta ]==> ((^y.y)(b (^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(b (^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 31117/1849956. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(b ((^z.z)(a a)))) 3. ==[ beta ]==> ((b ((^z.z)(a a)))(^y.y)) 4. ==[ alpha ]==> ((b ((^x.x)(a a)))(^y.y)) 5. ==[ beta ]==> ((b (a a))(^y.y)) 6. ==[ alpha ]==> ((b (a a))(^x.x)) REDUCED to normal form. ------ 31118/1849977. ------ 1. ==[ start ]==> (((a a) b)(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 31119/1850073. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.a) d)) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a) d)) 3. ==[ beta ]==> (^y.((^z.a) d)) 4. ==[ alpha ]==> (^x.((^y.a) d)) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 31120/1850145. ------ 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. ------ 31121/1850316. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 31122/1850661. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.((^y.y)(x x)))) 3. ==[ beta ]==> (((a a)(a (a a)))(^x.(x x))) REDUCED to normal form. ------ 31123/1850766. ------ 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. ------ 31124/1850868. ------ 1. ==[ start ]==> (((a (a a)) b)(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.(x x)))) REDUCED to normal form. ------ 31125/1851435. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.(^x1.b))) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.(^x1.b))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.b))) REDUCED to normal form. ------ 31126/1851531. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 31127/1851711. ------ 1. ==[ start ]==> ((^a.(a b))(c (a (a a)))) 2. ==[ alpha ]==> ((^x.(x b))(c (a (a a)))) 3. ==[ beta ]==> ((c (a (a a))) b) REDUCED to normal form. ------ 31128/1851921. ------ 1. ==[ start ]==> (((a a)(^a.b))(^a.(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.y))) REDUCED to normal form. ------ 31129/1852056. ------ 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. ------ 31130/1852098. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (a a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (a a)) b)) 3. ==[ beta ]==> (^y.(((a (a a)) b)((a (a a)) b))) 4. ==[ alpha ]==> (^x.(((a (a a)) b)((a (a a)) b))) REDUCED to normal form. ------ 31131/1852200. ------ 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. ------ 31132/1852305. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a a)(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((a a)(a (a a)))((a a)(a (a a))))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a (a a)))((a a)(a (a a))))) 5. ==[ beta ]==> (((a a)(a (a a)))((a a)(a (a a)))) REDUCED to normal form. ------ 31133/1852542. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 31134/1852650. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(z z)))) 7. ==[ beta ]==> ((^y.(^z.(z z)))(^y.(^z.(z z)))) 8. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(^x1.(x1 x1)))) 9. ==[ beta ]==> (^y.(y y)) 10. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 31135/1852731. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 31136/1852821. ------ 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. ------ 31137/1852980. ------ 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. ------ 31138/1853202. ------ 1. ==[ start ]==> (((a a) a)((^b.(^a.a))(^b.(^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. ------ 31139/1853256. ------ 1. ==[ start ]==> (((^a.a) b)((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x) b)((^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. ------ 31140/1853283. ------ 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)((^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. ------ 31141/1853292. ------ 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 (^x.x)))(b (a a))) REDUCED to normal form. ------ 31142/1853310. ------ 1. ==[ start ]==> (((a a) b)((^a.a)(^c.(^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. ------ 31143/1853355. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(a a)) b)) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a)) b)) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a)) b)) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 31144/1853382. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.b) c)) 3. ==[ beta ]==> ((^y.y)((^z.b) c)) 4. ==[ alpha ]==> ((^x.x)((^y.b) c)) 5. ==[ beta ]==> ((^y.b) c) 6. ==[ alpha ]==> ((^x.b) c) 7. ==[ beta ]==> b REDUCED to normal form. ------ 31145/1853409. ------ 1. ==[ start ]==> ((a (^b.a))((^c.a) d)) 2. ==[ alpha ]==> ((a (^x.a))((^y.a) d)) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 31146/1853427. ------ 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. ------ 31147/1853454. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a (a a))(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a (a a))(^y.y))) REDUCED to normal form. ------ 31148/1853481. ------ 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. ------ 31149/1853526. ------ 1. ==[ start ]==> (((a (^a.a)) b)(b (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(b (^y.(a a)))) REDUCED to normal form. ------ 31150/1853571. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) 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))) 7. ==[ beta ]==> (a ((a a)(^y.y))) 8. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 31151/1853580. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(a a))(a a))) 3. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 31152/1853598. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 31153/1853607. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.b)(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 31154/1853652. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^x.(x x)))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.(z z))) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.(y y))) REDUCED to normal form. ------ 31155/1853742. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(a b))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(a b))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 31156/1853760. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a)(^z.(a a)))) 3. ==[ beta ]==> ((^y.(y y))((a a)(^z.(a a)))) 4. ==[ alpha ]==> ((^x.(x x))((a a)(^y.(a a)))) 5. ==[ beta ]==> (((a a)(^y.(a a)))((a a)(^y.(a a)))) 6. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)(^y.(a a)))) REDUCED to normal form. ------ 31157/1853787. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 31158/1853823. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.b)(^a.(^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. ------ 31159/1853877. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 31160/1853904. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(a a))(^b.(^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. ------ 31161/1853931. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.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. ------ 31162/1853958. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(^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. ------ 31163/1853994. ------ 1. ==[ start ]==> (((a a)(a (a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(a ((^x.x)(a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))(a (a a))) REDUCED to normal form. ------ 31164/1854021. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a b)(a a))) 3. ==[ beta ]==> (((a (^x.x)) a)((a b)(a a))) REDUCED to normal form. ------ 31165/1854048. ------ 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. ------ 31166/1854075. ------ 1. ==[ start ]==> (((a (a a))(a a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a a))(((^x.x)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.y)((^z.z) a))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.x)((^y.y) a))) 5. ==[ beta ]==> (((a (a a))(a a))((^y.y) a)) 6. ==[ alpha ]==> (((a (a a))(a a))((^x.x) a)) 7. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 31167/1854102. ------ 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. ------ 31168/1854201. ------ 1. ==[ start ]==> (((a (a a)) b)(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)(a (^x.(a a)))) REDUCED to normal form. ------ 31169/1854228. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.b)(a a))) 3. ==[ beta ]==> (((^y.y) a)((^z.b)(a a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.b)(a a))) 5. ==[ beta ]==> (a ((^y.b)(a a))) 6. ==[ alpha ]==> (a ((^x.b)(a a))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 31170/1854246. ------ 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. ------ 31171/1854255. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 31172/1854273. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z)(^x1.x1))(^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. ------ 31173/1854282. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.x1))((^y1.y1) 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. ------ 31174/1854309. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> ((a (^y.a))((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(y y))(a (a a)))) 5. ==[ beta ]==> ((a (^x.a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 31175/1854327. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a) a)(^b.(^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. ------ 31176/1854336. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 31177/1854363. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((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. ------ 31178/1854624. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.a) b)) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.a) b)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a) b)) 5. ==[ beta ]==> (a ((^z.a) b)) 6. ==[ alpha ]==> (a ((^x.a) b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 31179/1854741. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (^x1.a))) REDUCED to normal form. ------ 31180/1854768. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(a (^z.b))) 3. ==[ beta ]==> ((a (^y.(y y)))(a (^z.b))) 4. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.b))) REDUCED to normal form. ------ 31181/1854786. ------ 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 ]==> ((((^y.y) a)((^y.y) a))(((a a) a)(^z.z))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a) a)(^z.z))) 5. ==[ beta ]==> ((a ((^y.y) a))(((a a) a)(^z.z))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((a a) a)(^y.y))) 7. ==[ beta ]==> ((a a)(((a a) a)(^y.y))) 8. ==[ alpha ]==> ((a a)(((a a) a)(^x.x))) REDUCED to normal form. ------ 31182/1854795. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^c.a)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.a)(a a))) 3. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 31183/1854822. ------ 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.(^z1.z1))(a (^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a (^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 31184/1854849. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(((^z.z) a)((^z.z) 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. ------ 31185/1854867. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.b))(a (^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.b))(a (^y.(y y)))) REDUCED to normal form. ------ 31186/1855038. ------ 1. ==[ start ]==> (((^a.b) a)((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (b ((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 31187/1855047. ------ 1. ==[ start ]==> ((a (a b))(c (a (a a)))) REDUCED to normal form. ------ 31188/1855137. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1)) b)) IRREDUCIBLE: cycle. ------ 31189/1855200. ------ 1. ==[ start ]==> ((((a a) a) b)(c (^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(c (^x.(x x)))) REDUCED to normal form. ------ 31190/1855227. ------ 1. ==[ start ]==> (((a b) a)(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 31191/1855254. ------ 1. ==[ start ]==> (((a a)(^a.b))(a (^c.a))) 2. ==[ alpha ]==> (((a a)(^x.b))(a (^y.a))) REDUCED to normal form. ------ 31192/1855272. ------ 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.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. ------ 31193/1855308. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 31194/1855326. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x) a)(^y.a))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(a (^y.a))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(a (^x.a))) REDUCED to normal form. ------ 31195/1855335. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x))) a) REDUCED to normal form. ------ 31196/1855362. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(^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. ------ 31197/1855389. ------ 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. ------ 31198/1855407. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> (b (((^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. ------ 31199/1855416. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 31200/1855434. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (a a)) b)) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (a a)) b)) REDUCED to normal form. ------ 31201/1855506. ------ 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. ------ 31202/1855533. ------ 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. ------ 31203/1855560. ------ 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. ------ 31204/1855587. ------ 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. ------ 31205/1855605. ------ 1. ==[ start ]==> (((^a.b) b)(c (^b.a))) 2. ==[ alpha ]==> (((^x.b) b)(c (^y.a))) 3. ==[ beta ]==> (b (c (^y.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 31206/1855614. ------ 1. ==[ start ]==> (((a b)(a a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a a))((a (^x.x))((^y.y) a))) 3. ==[ beta ]==> (((a b)(a a))((a (^x.x)) a)) REDUCED to normal form. ------ 31207/1855641. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a a)(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a a)(a (a a)))) 3. ==[ beta ]==> ((a (a a))((a a)(a (a a)))) REDUCED to normal form. ------ 31208/1855677. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 31209/1855731. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.a))) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.a))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.a))) 7. ==[ beta ]==> ((a (^y.y))(^z.a)) 8. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 31210/1855812. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 31211/1855821. ------ 1. ==[ start ]==> (((a b) b)((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 31212/1855848. ------ 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))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 31213/1855875. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.(z z))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(y y))) REDUCED to normal form. ------ 31214/1855893. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 31215/1855956. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b (^z.a))) REDUCED to normal form. ------ 31216/1855983. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a (^z.(z z)))) 5. ==[ beta ]==> ((^y.(y y))(a (^z.(z z)))) 6. ==[ alpha ]==> ((^x.(x x))(a (^y.(y y)))) 7. ==[ beta ]==> ((a (^y.(y y)))(a (^y.(y y)))) 8. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.(y y)))) REDUCED to normal form. ------ 31217/1856010. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.a)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.a)(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 31218/1856028. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (^a.a))(^a.(^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. ------ 31219/1856037. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.(^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. ------ 31220/1856064. ------ 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)(^x.x))((^z.z) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 31221/1856127. ------ 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. ------ 31222/1856154. ------ 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. ------ 31223/1856181. ------ 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))) REDUCED to normal form. ------ 31224/1856208. ------ 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. ------ 31225/1856253. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(^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. ------ 31226/1856262. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(b b)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(b b)) REDUCED to normal form. ------ 31227/1856316. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(b (a a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(b (a a))) REDUCED to normal form. ------ 31228/1856352. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> ((^y.y)((^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. ------ 31229/1856486. ------ 1. ==[ start ]==> (^a.((^a.b)(^b.a))) 2. ==[ alpha ]==> (^x.((^y.b)(^z.x))) 3. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 31230/1856487. ------ 1. ==[ start ]==> (a ((^a.b)(^b.a))) 2. ==[ alpha ]==> (a ((^x.b)(^y.a))) 3. ==[ beta ]==> (a b) REDUCED to normal form. ------ 31231/1859823. ------ 1. ==[ start ]==> (((^a.b)(^b.a)) a) 2. ==[ alpha ]==> (((^x.b)(^y.a)) a) 3. ==[ beta ]==> (b a) REDUCED to normal form. ------ 31232/1859829. ------ 1. ==[ start ]==> ((^a.a)((^a.b)(^b.a))) 2. ==[ alpha ]==> ((^x.x)((^y.b)(^z.a))) 3. ==[ beta ]==> ((^y.b)(^z.a)) 4. ==[ alpha ]==> ((^x.b)(^y.a)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 31233/1859883. ------ 1. ==[ start ]==> ((^a.b)((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 31234/1859964. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^z.(^x1.x1))(^y1.(a a)))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^x1.x1)) 5. ==[ beta ]==> ((^y.y)(^x1.x1)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 31235/1860003. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^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))) REDUCED to normal form. ------ 31236/1860081. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> (^y.(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> (^x.(((a a) a)((^y.y) a))) 5. ==[ beta ]==> (^x.(((a a) a) a)) REDUCED to normal form. ------ 31237/1860423. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(^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. ------ 31238/1860648. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(b (a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (a b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 31239/1860669. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.(a a)))) REDUCED to normal form. ------ 31240/1861074. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.(a z))) 3. ==[ eta ]==> (((a a)((^x.x)(^y.y))) a) 4. ==[ beta ]==> (((a a)(^y.y)) a) 5. ==[ alpha ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 31241/1861206. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.a)(^b.(^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. ------ 31242/1861614. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(^y.((a a) a))) 3. ==[ beta ]==> ((a (a (a a)))(^y.((a a) a))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.((a a) a))) REDUCED to normal form. ------ 31243/1861719. ------ 1. ==[ start ]==> ((^a.(a b))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((^y.a)(^z.(z z))) b) 4. ==[ alpha ]==> (((^x.a)(^y.(y y))) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 31244/1861920. ------ 1. ==[ start ]==> (((^a.a)(a b))(^c.((^a.a)(^a.a)))) 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)(^x.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 31245/1862208. ------ 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. ------ 31246/1862313. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(b (^z.(z z)))) 3. ==[ beta ]==> ((^y.y)((b (^z.(z z)))(b (^z.(z z))))) 4. ==[ alpha ]==> ((^x.x)((b (^y.(y y)))(b (^z.(z z))))) 5. ==[ beta ]==> ((b (^y.(y y)))(b (^z.(z z)))) 6. ==[ alpha ]==> ((b (^x.(x x)))(b (^y.(y y)))) REDUCED to normal form. ------ 31247/1862325. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^c.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(a (a a)))) 3. ==[ beta ]==> ((^y.(a a))(^z.(a (a a)))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(a (a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 31248/1862550. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^c.d)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.d)) REDUCED to normal form. ------ 31249/1862568. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^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. ------ 31250/1862829. ------ 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. ------ 31251/1862910. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^a.(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) 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. ------ 31252/1862964. ------ 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. ------ 31253/1862988. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((((^z.(^x1.x1))(^y1.y1))((^z.(^x1.x1))(^y1.y1)))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.y))(^z.z))((^x1.(^y1.y1))(^z1.z1)))(^x2.x2)) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))(^z1.z1)))(^x2.x2)) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(^x1.x1)))(^y1.y1)) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.x1))(^y1.y1)) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.x1)) 9. ==[ beta ]==> ((^y.y)(^x1.x1)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 31254/1863027. ------ 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)(^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. ------ 31255/1863162. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^a.a)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.z)) 3. ==[ beta ]==> (b (^z.z)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 31256/1863174. ------ 1. ==[ start ]==> ((a a)((^a.b)(^b.a))) 2. ==[ alpha ]==> ((a a)((^x.b)(^y.a))) 3. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 31257/1863228. ------ 1. ==[ start ]==> ((a b)((^b.(^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. ------ 31258/1863282. ------ 1. ==[ start ]==> (((a a)(a a))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.b))) 3. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 31259/1863309. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 31260/1863318. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(b ((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b ((^z.z)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 31261/1863345. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(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. ------ 31262/1863372. ------ 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. ------ 31263/1863381. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a)) b)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 31264/1863399. ------ 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)((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. ------ 31265/1863408. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.b) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 31266/1863426. ------ 1. ==[ start ]==> ((a (^b.a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.a))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> ((a (^x.a))(((a a) a) a)) REDUCED to normal form. ------ 31267/1863507. ------ 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. ------ 31268/1863534. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(a b))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(a b))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a b))) 5. ==[ beta ]==> ((a (^y.y))(a b)) 6. ==[ alpha ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 31269/1863597. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> (((a a)(^x.a))((a a)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.y))) REDUCED to normal form. ------ 31270/1863624. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a b)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 31271/1863651. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((a a) a)(^z.a))) 3. ==[ beta ]==> ((a (^y.y))(((a a) a)(^z.a))) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.a))) REDUCED to normal form. ------ 31272/1863687. ------ 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) 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. ------ 31273/1863714. ------ 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))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(((^x1.x1)(^y1.y1))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(^x1.x1))) 9. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 10. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 31274/1863741. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.a)((a a) a))) 3. ==[ beta ]==> ((a (a a))((^y.a)((a a) a))) 4. ==[ alpha ]==> ((a (a a))((^x.a)((a a) a))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 31275/1863759. ------ 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)((a (^y.y))(^z.b))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(^y.b))) REDUCED to normal form. ------ 31276/1863768. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(^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. ------ 31277/1863840. ------ 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. ------ 31278/1863993. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(b (a b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b (a b))) REDUCED to normal form. ------ 31279/1864011. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)(^y.(a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.(a a))) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.(a a))) REDUCED to normal form. ------ 31280/1864083. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.a) c)) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.a) c)) 3. ==[ beta ]==> ((b b)((^y.a) c)) 4. ==[ alpha ]==> ((b b)((^x.a) c)) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 31281/1864128. ------ 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. ------ 31282/1864155. ------ 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)((^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. ------ 31283/1864209. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a)(a b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a)(a b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((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. ------ 31284/1864245. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a b)(^z.z))) 3. ==[ beta ]==> (((^y.y) a)((a b)(^z.z))) 4. ==[ alpha ]==> (((^x.x) a)((a b)(^y.y))) 5. ==[ beta ]==> (a ((a b)(^y.y))) 6. ==[ alpha ]==> (a ((a b)(^x.x))) REDUCED to normal form. ------ 31285/1864272. ------ 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. ------ 31286/1864299. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.a)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.a)) REDUCED to normal form. ------ 31287/1864326. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> ((a (^y.a))((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.a))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 31288/1864353. ------ 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.(^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. ------ 31289/1864416. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((a a)((^x.x)(^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)(^x.x))(a b)) REDUCED to normal form. ------ 31290/1864443. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.b)(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) b) REDUCED to normal form. ------ 31291/1864497. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 31292/1864524. ------ 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))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> ((a a)((^y.(y y))(^z.(z z)))) 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. ------ 31293/1864551. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 31294/1864587. ------ 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. ------ 31295/1864641. ------ 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)(^y.a))(((a a) a)(a a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((a a) a)(a a))) 5. ==[ beta ]==> (a (((a a) a)(a a))) REDUCED to normal form. ------ 31296/1864677. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.(^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. ------ 31297/1864722. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)(a (a a)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a)(a (a a)))) 5. ==[ beta ]==> (((a a) a)(a (a (a a)))) REDUCED to normal form. ------ 31298/1864749. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))((^z1.z1)(^x2.x2)))) 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. ------ 31299/1864812. ------ 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. ------ 31300/1864839. ------ 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))(^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. ------ 31301/1864866. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a (a a))(^y.a))) REDUCED to normal form. ------ 31302/1864902. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.a)(a (a a)))) 3. ==[ beta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 31303/1864929. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 31304/1864956. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.y)((a a) a))) 3. ==[ beta ]==> ((a (a (a a)))((^y.y)((a a) a))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.x)((a a) a))) 5. ==[ beta ]==> ((a (a (a a)))((a a) a)) REDUCED to normal form. ------ 31305/1865010. ------ 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))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 31306/1865037. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(x x))(^y.a))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.a)(^y.a))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.a)(^y.a))) 5. ==[ beta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 31307/1865064. ------ 1. ==[ start ]==> ((a (a b))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a b))((^x.a)(^y.(y y)))) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 31308/1865073. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(c (a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(c (a (a a)))) 3. ==[ beta ]==> ((^y.b)(c (a (a a)))) 4. ==[ alpha ]==> ((^x.b)(c (a (a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 31309/1865154. ------ 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.x1))(a a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(^x1.x1))(a a))) IRREDUCIBLE: cycle. ------ 31310/1865235. ------ 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 ((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> (b ((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 31311/1865262. ------ 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. ------ 31312/1865325. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (a a))(^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. ------ 31313/1865352. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a (^z.a))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a (^y.a))) REDUCED to normal form. ------ 31314/1865379. ------ 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 REDUCED to normal form. ------ 31315/1865406. ------ 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. ------ 31316/1865433. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> (((a b)(^x.x))((^z.z) a)) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y) a)) 5. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 31317/1865469. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(a a))(^a.(^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. ------ 31318/1865496. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) a) REDUCED to normal form. ------ 31319/1865523. ------ 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.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 31320/1865550. ------ 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. ------ 31321/1865622. ------ 1. ==[ start ]==> (((^a.b) b)((^b.a) c)) 2. ==[ alpha ]==> (((^x.b) b)((^y.a) c)) 3. ==[ beta ]==> (b ((^y.a) c)) 4. ==[ alpha ]==> (b ((^x.a) c)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 31322/1865631. ------ 1. ==[ start ]==> (((a b)(a a))(c (^b.a))) 2. ==[ alpha ]==> (((a b)(a a))(c (^x.a))) REDUCED to normal form. ------ 31323/1865658. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(b (^y.(y y)))) 3. ==[ beta ]==> ((a (a a))(b (^y.(y y)))) 4. ==[ alpha ]==> ((a (a a))(b (^x.(x x)))) REDUCED to normal form. ------ 31324/1865667. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a a)(a (a a)))) 3. ==[ beta ]==> ((^y.(a a))((a a)(a (a a)))) 4. ==[ alpha ]==> ((^x.(a a))((a a)(a (a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 31325/1865748. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(c c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(c c)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(c c)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c c)) 5. ==[ beta ]==> ((^y.y)(c c)) 6. ==[ alpha ]==> ((^x.x)(c c)) 7. ==[ beta ]==> (c c) REDUCED to normal form. ------ 31326/1865838. ------ 1. ==[ start ]==> (((a b) b)(((^a.a) a) b)) 2. ==[ alpha ]==> (((a b) b)(((^x.x) a) b)) 3. ==[ beta ]==> (((a b) b)(a b)) REDUCED to normal form. ------ 31327/1865883. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(b ((^z.z) a))) 3. ==[ beta ]==> (((^y.y)(a a))(b ((^z.z) a))) 4. ==[ alpha ]==> (((^x.x)(a a))(b ((^y.y) a))) 5. ==[ beta ]==> ((a a)(b ((^y.y) a))) 6. ==[ alpha ]==> ((a a)(b ((^x.x) a))) 7. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 31328/1865910. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a 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. ------ 31329/1865919. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(z z)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a a)) REDUCED to normal form. ------ 31330/1865964. ------ 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 (^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a (^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))(a (^z1.z1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.y1))(a (^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))(a (^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(a (^y1.y1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(a (^x1.x1)))) 9. ==[ beta ]==> ((^y.y)((a (^z.z))(a (^x1.x1)))) 10. ==[ alpha ]==> ((^x.x)((a (^y.y))(a (^z.z)))) 11. ==[ beta ]==> ((a (^y.y))(a (^z.z))) 12. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 31331/1865973. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.(^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. ------ 31332/1866027. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(a (^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(a (^y.y))) REDUCED to normal form. ------ 31333/1866045. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(c b)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(c b)) 3. ==[ beta ]==> (b (c b)) REDUCED to normal form. ------ 31334/1866054. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 31335/1866081. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a a)(^z.a))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)(^z.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 31336/1866117. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(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. ------ 31337/1866144. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(^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. ------ 31338/1866171. ------ 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. ------ 31339/1866225. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(b (^a.(^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. ------ 31340/1866252. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(a (^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) 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. ------ 31341/1866270. ------ 1. ==[ start ]==> (((^a.b) c)((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b) c)((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. ------ 31342/1866279. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(^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. ------ 31343/1866306. ------ 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. ------ 31344/1866333. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 31345/1866369. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(a (a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(a (a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(a (a (^y.y)))) 5. ==[ beta ]==> (a (a (^y.y))) 6. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 31346/1866504. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(a a)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(a a)) 3. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 31347/1866512. ------ 1. ==[ start ]==> (^a.((a b) c)) 2. ==[ alpha ]==> (^x.((x b) c)) REDUCED to normal form. ------ 31348/1866513. ------ 1. ==[ start ]==> (a ((a b) c)) REDUCED to normal form. ------ 31349/1869849. ------ 1. ==[ start ]==> (((^a.b)(^b.a)) b) 2. ==[ alpha ]==> (((^x.b)(^y.a)) b) 3. ==[ beta ]==> (b b) REDUCED to normal form. ------ 31350/1869858. ------ 1. ==[ start ]==> (((a b) c) a) REDUCED to normal form. ------ 31351/1869864. ------ 1. ==[ start ]==> ((^a.a)((a b) c)) 2. ==[ alpha ]==> ((^x.x)((a b) c)) 3. ==[ beta ]==> ((a b) c) REDUCED to normal form. ------ 31352/1869873. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 31353/1870038. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 31354/1870047. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 31355/1870458. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a (^y.y))(^z.b))) 3. ==[ beta ]==> (((a (^y.y))(^z.b))(((a (^y.y))(^z.b))((a (^y.y))(^z.b)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(((a (^z.z))(^x1.b))((a (^y1.y1))(^z1.b)))) REDUCED to normal form. ------ 31356/1870497. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 31357/1870683. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 31358/1870911. ------ 1. ==[ start ]==> (((a (a a)) b)(^c.(a b))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(a b))) REDUCED to normal form. ------ 31359/1871496. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.(^x1.b))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.(^x1.b))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(^x1.b))) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.(^x1.b))) 6. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.b))) 7. ==[ beta ]==> ((a a)(^y.(^z.b))) 8. ==[ alpha ]==> ((a a)(^x.(^y.b))) REDUCED to normal form. ------ 31360/1871574. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 31361/1871964. ------ 1. ==[ start ]==> (((a a)(^a.b))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.b))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 31362/1872117. ------ 1. ==[ start ]==> (((^a.b)(a a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 31363/1872141. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1))(^y1.y1))((^z.(^x1.x1))(^y1.y1)))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z))(^x1.x1))((^y1.(^z1.z1))(^x2.x2)))) 5. ==[ beta ]==> (^x.((^z.z)((^y1.(^z1.z1))(^x2.x2)))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1))(^y1.y1)))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))(^y1.y1))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.x1))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 31364/1872387. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 31365/1872603. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^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. ------ 31366/1872612. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(z (z z)))) REDUCED to normal form. ------ 31367/1872945. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^b.c)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(^y.c)) 3. ==[ beta ]==> ((((a a) a) a)(^y.c)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.c)) REDUCED to normal form. ------ 31368/1873023. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a (^z.z)) a)) 3. ==[ beta ]==> ((((a (^z.z)) a)((a (^z.z)) a))(^y.y)) 4. ==[ alpha ]==> ((((a (^x.x)) a)((a (^y.y)) a))(^z.z)) REDUCED to normal form. ------ 31369/1873062. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^b.(^a.(^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. ------ 31370/1873197. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 31371/1873206. ------ 1. ==[ start ]==> (((a b) c)(^a.a)) 2. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 31372/1873218. ------ 1. ==[ start ]==> ((a a)((a b) c)) REDUCED to normal form. ------ 31373/1873227. ------ 1. ==[ start ]==> ((a (^a.a))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.a))) 3. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 31374/1873281. ------ 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)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 31375/1873362. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(^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. ------ 31376/1873371. ------ 1. ==[ start ]==> (((a a) b)(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a) b)(b ((^x.x)(a a)))) 3. ==[ beta ]==> (((a a) b)(b (a a))) REDUCED to normal form. ------ 31377/1873398. ------ 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. ------ 31378/1873425. ------ 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. ------ 31379/1873452. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b)(a (^z.z)))) REDUCED to normal form. ------ 31380/1873506. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 31381/1873587. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))(a b))) REDUCED to normal form. ------ 31382/1873614. ------ 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. ------ 31383/1873659. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 31384/1873731. ------ 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) a)(((^y.y)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(^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)))) 7. ==[ beta ]==> (((a a) a)(^y.(y y))) 8. ==[ alpha ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 31385/1873758. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 31386/1873812. ------ 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. ------ 31387/1873821. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(a b))) 5. ==[ beta ]==> (((^y.(^z.z))(a b))((^y.(^z.z))(a b))) 6. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 31388/1873848. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 31389/1873902. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 9. ==[ beta ]==> b REDUCED to normal form. ------ 31390/1873956. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 31391/1874010. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(^z.a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.a))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 31392/1874037. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 31393/1874082. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(a a)) a)) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(a a)) a)) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(a a)) a)) 5. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 31394/1874109. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.b) b)) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.b) b)) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.b) b)) 5. ==[ beta ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 31395/1874127. ------ 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 b)(((a a) a)(a (^y.y)))) 4. ==[ alpha ]==> ((b b)(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 31396/1874253. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b (^x1.b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b (^x1.b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (^y1.b))) 5. ==[ beta ]==> ((^y.y)(b (^y1.b))) 6. ==[ alpha ]==> ((^x.x)(b (^y.b))) 7. ==[ beta ]==> (b (^y.b)) 8. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 31397/1874262. ------ 1. ==[ start ]==> (((a (a a)) b)((a a)(a b))) REDUCED to normal form. ------ 31398/1874307. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(a a))) 5. ==[ beta ]==> ((^y.y)((^z.b)(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(a a))) 7. ==[ beta ]==> ((^y.b)(a a)) 8. ==[ alpha ]==> ((^x.b)(a a)) 9. ==[ beta ]==> b REDUCED to normal form. ------ 31399/1874388. ------ 1. ==[ start ]==> (((^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 a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))(a (a a)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 31400/1874460. ------ 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)(^y.y))((a a)(^z.b))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.b))) REDUCED to normal form. ------ 31401/1874487. ------ 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. ------ 31402/1874514. ------ 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. ------ 31403/1874631. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.a))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 31404/1874721. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (b (((^y.y)(^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))(a (^z.z)))) 7. ==[ beta ]==> (b ((^y.y)(a (^z.z)))) 8. ==[ alpha ]==> (b ((^x.x)(a (^y.y)))) 9. ==[ beta ]==> (b (a (^y.y))) 10. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 31405/1874748. ------ 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. ------ 31406/1874802. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.y1))) REDUCED to normal form. ------ 31407/1874829. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a a)((a a) a))) 3. ==[ beta ]==> ((a (^y.(y y)))((a a)((a a) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a a)((a a) a))) REDUCED to normal form. ------ 31408/1874847. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(a (^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(a (^z.b))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(a (^z.b))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(a (^z.b))) 5. ==[ beta ]==> ((a ((^y.y) a))(a (^z.b))) 6. ==[ alpha ]==> ((a ((^x.x) a))(a (^y.b))) 7. ==[ beta ]==> ((a a)(a (^y.b))) 8. ==[ alpha ]==> ((a a)(a (^x.b))) REDUCED to normal form. ------ 31409/1874928. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((a (^x.b))(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.b))(a ((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.b))(a ((^y.y) a))) 7. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 31410/1874946. ------ 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)))) 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. ------ 31411/1874973. ------ 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 (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 31412/1875027. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((a a) a) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((a a) a) a)) 3. ==[ beta ]==> (((a (a a)) a)(((a a) a) a)) REDUCED to normal form. ------ 31413/1875054. ------ 1. ==[ start ]==> ((((^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)) b)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1)(^y1.y1)) b)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(^x1.x1)) b)) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1)) b)) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z)) b)) 7. ==[ beta ]==> ((a (^x.x))((^z.z) b)) 8. ==[ alpha ]==> ((a (^x.x))((^y.y) b)) 9. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 31414/1875117. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.b)((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.b)((^y.a)(^z.(z z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 31415/1875261. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x) 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. ------ 31416/1875279. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(c (^z.(z z)))) 3. ==[ beta ]==> (b (c (^z.(z z)))) 4. ==[ alpha ]==> (b (c (^x.(x x)))) REDUCED to normal form. ------ 31417/1875288. ------ 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. ------ 31418/1875306. ------ 1. ==[ start ]==> (((^a.a)(a b))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 31419/1875315. ------ 1. ==[ start ]==> (((a a)(^a.b))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.b))((a a)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.b))((a a)(^y.y))) REDUCED to normal form. ------ 31420/1875387. ------ 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 (^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 31421/1875423. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(c d)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(c d)) 3. ==[ beta ]==> (((^y.y)(^z.a))(c d)) 4. ==[ alpha ]==> (((^x.x)(^y.a))(c d)) 5. ==[ beta ]==> ((^y.a)(c d)) 6. ==[ alpha ]==> ((^x.a)(c d)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 31422/1875468. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((^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. ------ 31423/1875495. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 31424/1875513. ------ 1. ==[ start ]==> (((a a)(a b))((a (a a)) b)) REDUCED to normal form. ------ 31425/1875621. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.(^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)) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 31426/1875648. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(y y)) b)) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(b b)) REDUCED to normal form. ------ 31427/1875666. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> (b (((^y.y) a)(a (^z.z)))) 4. ==[ alpha ]==> (b (((^x.x) a)(a (^y.y)))) 5. ==[ beta ]==> (b (a (a (^y.y)))) 6. ==[ alpha ]==> (b (a (a (^x.x)))) REDUCED to normal form. ------ 31428/1875675. ------ 1. ==[ start ]==> (((a b)(a a))((^b.a) c)) 2. ==[ alpha ]==> (((a b)(a a))((^x.a) c)) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 31429/1875711. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(b (^z.(z z)))) 3. ==[ beta ]==> ((^y.(a a))(b (^z.(z z)))) 4. ==[ alpha ]==> ((^x.(a a))(b (^y.(y y)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 31430/1875738. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 31431/1875792. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(a (^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((^y1.a)(a (^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.z)))) 7. ==[ beta ]==> ((^y.a)(a (^z.z))) 8. ==[ alpha ]==> ((^x.a)(a (^y.y))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 31432/1875873. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> (b ((^x1.(x1 x1))(^y1.y1))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.y))) 5. ==[ beta ]==> (b ((^y.y)(^y.y))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 31433/1875927. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.(^a.a))(^b.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. ------ 31434/1875936. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(b ((^y.y) a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(b a)) REDUCED to normal form. ------ 31435/1875954. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((^y.y)(^z.(z z))) 6. ==[ alpha ]==> ((^x.x)(^y.(y y))) 7. ==[ beta ]==> (^y.(y y)) 8. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 31436/1875963. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(a (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(a (a (a a)))) REDUCED to normal form. ------ 31437/1876017. ------ 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 (^x1.x1)))) REDUCED to normal form. ------ 31438/1876044. ------ 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))) 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. ------ 31439/1876089. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.a)(a a))) 3. ==[ beta ]==> (b ((^z.a)(a a))) 4. ==[ alpha ]==> (b ((^x.a)(a a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 31440/1876098. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(c b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c b)) REDUCED to normal form. ------ 31441/1876125. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(b c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(b c)) 3. ==[ beta ]==> (((a a)(^y.y))(b c)) 4. ==[ alpha ]==> (((a a)(^x.x))(b c)) REDUCED to normal form. ------ 31442/1876161. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y) a) a)) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a) a)) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a) a)) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 31443/1876188. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (^y.y)) b)) REDUCED to normal form. ------ 31444/1876242. ------ 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))(^x.x)) a) REDUCED to normal form. ------ 31445/1876269. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z)) b)) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z)) b)) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y)) b)) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 31446/1876314. ------ 1. ==[ start ]==> (((^a.b) c)(c a)) 2. ==[ alpha ]==> (((^x.b) c)(c a)) 3. ==[ beta ]==> (b (c a)) REDUCED to normal form. ------ 31447/1876323. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 31448/1876350. ------ 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. ------ 31449/1876377. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.y)) a)) REDUCED to normal form. ------ 31450/1876413. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.a)(^a.(^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. ------ 31451/1876548. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(a (^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(a (^z.z))) 3. ==[ beta ]==> (b (a (^z.z))) 4. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 31452/1876557. ------ 1. ==[ start ]==> (((a b) c)(a a)) REDUCED to normal form. ------ 31453/1879902. ------ 1. ==[ start ]==> (((^a.b)(^b.a)) c) 2. ==[ alpha ]==> (((^x.b)(^y.a)) c) 3. ==[ beta ]==> (b c) REDUCED to normal form. ------ 31454/1879911. ------ 1. ==[ start ]==> (((a b) c) b) REDUCED to normal form. ------ 31455/1879935. ------ 1. ==[ start ]==> ((^a.(^a.a))((a b) c)) 2. ==[ alpha ]==> ((^x.(^y.y))((a b) c)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 31456/1880109. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 31457/1880178. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.b) c)) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.b) c)) 3. ==[ beta ]==> (^y.((^z.b) c)) 4. ==[ alpha ]==> (^x.((^y.b) c)) 5. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 31458/1880250. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ eta ]==> ((^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. ------ 31459/1880352. ------ 1. ==[ start ]==> (((a a)(^b.a))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 31460/1880421. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((a a) a)(^z.a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 31461/1880559. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^c.(^b.(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. ------ 31462/1880793. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.((^z.z)(y y)))) 5. ==[ beta ]==> (((a (^x.x)) a)(^y.(y y))) REDUCED to normal form. ------ 31463/1880871. ------ 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.z1) 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. ------ 31464/1881000. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.(^x1.(z z)))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(z z)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(y y)))) 5. ==[ beta ]==> (a (^y.(^z.(y y)))) 6. ==[ alpha ]==> (a (^x.(^y.(x x)))) REDUCED to normal form. ------ 31465/1881567. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.b))) REDUCED to normal form. ------ 31466/1881636. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (a a))(^z.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 31467/1882179. ------ 1. ==[ start ]==> (((^a.b)(a a))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 31468/1882188. ------ 1. ==[ start ]==> (((a b)(^a.a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.x))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 31469/1882203. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (^y.((((^z.z)(^x1.x1)) a)(((^z.z)(^x1.x1)) a))) 4. ==[ alpha ]==> (^x.((((^y.y)(^z.z)) a)(((^x1.x1)(^y1.y1)) a))) 5. ==[ beta ]==> (^x.(((^z.z) a)(((^x1.x1)(^y1.y1)) a))) 6. ==[ alpha ]==> (^x.(((^y.y) a)(((^z.z)(^x1.x1)) a))) 7. ==[ beta ]==> (^x.(a (((^z.z)(^x1.x1)) a))) 8. ==[ alpha ]==> (^x.(a (((^y.y)(^z.z)) a))) 9. ==[ beta ]==> (^x.(a ((^z.z) a))) 10. ==[ alpha ]==> (^x.(a ((^y.y) a))) 11. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 31470/1882332. ------ 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)))) 9. ==[ beta ]==> (a (^x.(^z.z))) 10. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 31471/1882410. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(((a (^z.z))((^x1.x1) a))((a (^z.z))((^x1.x1) a)))) 4. ==[ alpha ]==> ((^x.x)(((a (^y.y))((^z.z) a))((a (^x1.x1))((^y1.y1) a)))) 5. ==[ beta ]==> (((a (^y.y))((^z.z) a))((a (^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a (^z.z))((^x1.x1) a))) 7. ==[ beta ]==> (((a (^x.x)) a)((a (^z.z))((^x1.x1) a))) 8. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))((^z.z) a))) 9. ==[ beta ]==> (((a (^x.x)) a)((a (^y.y)) a)) REDUCED to normal form. ------ 31472/1882665. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^c.d)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^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. ------ 31473/1882674. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 31474/1882782. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.(z z)))) REDUCED to normal form. ------ 31475/1882953. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((a (a a))((^x.x)(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(^z.z)) 5. ==[ beta ]==> (((a (a a))(^y.y))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 31476/1883025. ------ 1. ==[ start ]==> (((^a.b) c)(^a.(^b.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. ------ 31477/1883124. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^c.b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^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. ------ 31478/1883259. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^b.a)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.a)) 3. ==[ beta ]==> (b (^z.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 31479/1883268. ------ 1. ==[ start ]==> (((a b) c)(^a.(^a.a))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.y))) REDUCED to normal form. ------ 31480/1883298. ------ 1. ==[ start ]==> ((a (^a.a))((a b) c)) 2. ==[ alpha ]==> ((a (^x.x))((a b) c)) REDUCED to normal form. ------ 31481/1883307. ------ 1. ==[ start ]==> (((^a.a) a)((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.b)(^z.a))) 3. ==[ beta ]==> (a ((^y.b)(^z.a))) 4. ==[ alpha ]==> (a ((^x.b)(^y.a))) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 31482/1883361. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 31483/1883388. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(y y))(^z.a))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.a))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.a))) 5. ==[ beta ]==> (b ((^y.a)(^y.a))) 6. ==[ alpha ]==> (b ((^x.a)(^y.a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 31484/1883415. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.a)(^x1.b))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.b))) 5. ==[ beta ]==> ((^y.a)(^z.b)) 6. ==[ alpha ]==> ((^x.a)(^y.b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 31485/1883442. ------ 1. ==[ start ]==> (((a a) b)((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 31486/1883514. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^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. ------ 31487/1883541. ------ 1. ==[ start ]==> ((a (^b.a))((^a.b) c)) 2. ==[ alpha ]==> ((a (^x.a))((^y.b) c)) 3. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 31488/1883559. ------ 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. ------ 31489/1883586. ------ 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))((^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. ------ 31490/1883613. ------ 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)))) 5. ==[ beta ]==> ((a a)((a (a a))(^y.y))) 6. ==[ alpha ]==> ((a a)((a (a a))(^x.x))) REDUCED to normal form. ------ 31491/1883658. ------ 1. ==[ start ]==> (((a (^a.a)) b)(c (^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) b)(c (^y.b))) REDUCED to normal form. ------ 31492/1883685. ------ 1. ==[ start ]==> ((((^a.a) a) a)(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(b (^y.(a a)))) 3. ==[ beta ]==> ((a a)(b (^y.(a a)))) 4. ==[ alpha ]==> ((a a)(b (^x.(a a)))) REDUCED to normal form. ------ 31493/1883712. ------ 1. ==[ start ]==> (((a a)(^b.a))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 31494/1883730. ------ 1. ==[ start ]==> (((^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))) 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. ------ 31495/1883739. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(a a))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 31496/1883766. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 31497/1883784. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((a a) a)(^y.a))) REDUCED to normal form. ------ 31498/1883874. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(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))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 31499/1883892. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> ((^y.(y y))((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(^z.b))) 5. ==[ beta ]==> (((a (^y.y))(^z.b))((a (^y.y))(^z.b))) 6. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (^z.z))(^x1.b))) REDUCED to normal form. ------ 31500/1883919. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 31501/1883955. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((a b)((^y.(a a))(^z.z))) 4. ==[ alpha ]==> ((a b)((^x.(a a))(^y.y))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 31502/1883973. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a b) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a b) b)) 3. ==[ beta ]==> (((^y.y)(^y.y))((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. ------ 31503/1883982. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 31504/1884036. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.(^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. ------ 31505/1884063. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 31506/1884090. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 31507/1884126. ------ 1. ==[ start ]==> (((a a)(a (a a)))(b (a b))) REDUCED to normal form. ------ 31508/1884153. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(a ((^y.y)(a a)))) 5. ==[ beta ]==> (((a (^x.x)) a)(a (a a))) REDUCED to normal form. ------ 31509/1884180. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a b)(a a))) 3. ==[ beta ]==> ((a (a (^y.y)))((a b)(a a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a b)(a a))) REDUCED to normal form. ------ 31510/1884207. ------ 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. ------ 31511/1884234. ------ 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.y1) a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z) a))) 7. ==[ beta ]==> ((a (^x.x))((^z.z) a)) 8. ==[ alpha ]==> ((a (^x.x))((^y.y) a)) 9. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 31512/1884333. ------ 1. ==[ start ]==> (((a (a a)) b)(b (^a.b))) 2. ==[ alpha ]==> (((a (a a)) b)(b (^x.b))) REDUCED to normal form. ------ 31513/1884360. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(a (^z.(a a)))) 3. ==[ beta ]==> (((^y.y) a)(a (^z.(a a)))) 4. ==[ alpha ]==> (((^x.x) a)(a (^y.(a a)))) 5. ==[ beta ]==> (a (a (^y.(a a)))) 6. ==[ alpha ]==> (a (a (^x.(a a)))) REDUCED to normal form. ------ 31514/1884378. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a b)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(^z.z))) 5. ==[ beta ]==> ((^y.y)((a b)(^z.z))) 6. ==[ alpha ]==> ((^x.x)((a b)(^y.y))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 31515/1884387. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 31516/1884405. ------ 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. ------ 31517/1884441. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.(^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. ------ 31518/1884459. ------ 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.(z z)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (a a))(^z.(z z)))) REDUCED to normal form. ------ 31519/1884468. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 31520/1884495. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.a)((^x1.x1)(^y1.y1)))) 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. ------ 31521/1884756. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.b) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.b) a)) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.b) a)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.b) a)) 5. ==[ beta ]==> (a ((^z.b) a)) 6. ==[ alpha ]==> (a ((^x.b) a)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 31522/1884873. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(c (^x1.(^y1.y1)))) REDUCED to normal form. ------ 31523/1884900. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(b (^z.a))) 3. ==[ beta ]==> ((a (^y.(y y)))(b (^z.a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(b (^y.a))) REDUCED to normal form. ------ 31524/1884927. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(a (^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(a (^y.b))) REDUCED to normal form. ------ 31525/1884981. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(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. ------ 31526/1884999. ------ 1. ==[ start ]==> ((a (^a.b))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.b))((a (a a))(^y.a))) REDUCED to normal form. ------ 31527/1885170. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(y y))(^z.a))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.a))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.a))) 5. ==[ beta ]==> (b ((^y.a)(^y.a))) 6. ==[ alpha ]==> (b ((^x.a)(^y.a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 31528/1885359. ------ 1. ==[ start ]==> (((a b) a)(c (^a.(a a)))) 2. ==[ alpha ]==> (((a b) a)(c (^x.(x x)))) REDUCED to normal form. ------ 31529/1885386. ------ 1. ==[ start ]==> (((a a)(^a.b))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(b (^y.(^z.z)))) REDUCED to normal form. ------ 31530/1885440. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 31531/1885458. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 31532/1885467. ------ 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 (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 31533/1885494. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> ((^y.a)((^z.a)((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.a)((^y.a)((^z.z) a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 31534/1885521. ------ 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. ------ 31535/1885539. ------ 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)(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 31536/1885548. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.x))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 31537/1885566. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> ((a (^x.(a a)))((^z.z) a)) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y) a)) 5. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 31538/1885665. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(b (a (a a)))) REDUCED to normal form. ------ 31539/1885692. ------ 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. ------ 31540/1885719. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a (a a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a (a a))(a a))) REDUCED to normal form. ------ 31541/1885746. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x) 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. ------ 31542/1885773. ------ 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) 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. ------ 31543/1885863. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.(^x2.x2)))) 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. ------ 31544/1885944. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 31545/1885953. ------ 1. ==[ start ]==> (((a b) b)((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a b) b)((^x.(x x))(^y.y))) 3. ==[ beta ]==> (((a b) b)((^y.y)(^y.y))) 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. ------ 31546/1885980. ------ 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)))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 31547/1886007. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(^a.a))(^b.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. ------ 31548/1886034. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.(x1 x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(z z))) REDUCED to normal form. ------ 31549/1886079. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.a) b)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.a) b)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.a) b)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.a) b)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a) b)) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a) b)) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a) b)) 9. ==[ beta ]==> ((^y.y)((^z.a) b)) 10. ==[ alpha ]==> ((^x.x)((^y.a) b)) 11. ==[ beta ]==> ((^y.a) b) 12. ==[ alpha ]==> ((^x.a) b) 13. ==[ beta ]==> a REDUCED to normal form. ------ 31550/1886088. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(c (^z.(^x1.x1)))) REDUCED to normal form. ------ 31551/1886115. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(b (^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(b (^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b (^z.a))) 5. ==[ beta ]==> ((^y.(y y))(b (^z.a))) 6. ==[ alpha ]==> ((^x.(x x))(b (^y.a))) 7. ==[ beta ]==> ((b (^y.a))(b (^y.a))) 8. ==[ alpha ]==> ((b (^x.a))(b (^y.a))) REDUCED to normal form. ------ 31552/1886142. ------ 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. ------ 31553/1886160. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.y))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 31554/1886169. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.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. ------ 31555/1886196. ------ 1. ==[ start ]==> ((((^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.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 31556/1886259. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(c (a a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(c (a a))) REDUCED to normal form. ------ 31557/1886286. ------ 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. ------ 31558/1886313. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(a ((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^y.y))(a ((^z.z) a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(a ((^y.y) a))) 5. ==[ beta ]==> (((a (a a))(^x.x))(a a)) REDUCED to normal form. ------ 31559/1886340. ------ 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. ------ 31560/1886367. ------ 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. ------ 31561/1886385. ------ 1. ==[ start ]==> (((^a.b) c)(a (^b.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. ------ 31562/1886394. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(c a)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(c a)) REDUCED to normal form. ------ 31563/1886421. ------ 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. ------ 31564/1886484. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a 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. ------ 31565/1886619. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.z) a)) 3. ==[ beta ]==> (b ((^z.z) a)) 4. ==[ alpha ]==> (b ((^x.x) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 31566/1886628. ------ 1. ==[ start ]==> (((a b) c)(a (^a.a))) 2. ==[ alpha ]==> (((a b) c)(a (^x.x))) REDUCED to normal form. ------ 31567/1886645. ------ 1. ==[ start ]==> (^a.((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (^x.((^y.(x x))(^z.(^x1.x1)))) 3. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 31568/1886646. ------ 1. ==[ start ]==> (a ((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (a ((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 31569/1889808. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((^z.(a (^x1.x1)))(^z.(a (^x1.x1))))(^y.y)) 4. ==[ alpha ]==> (((^x.(a (^y.y)))(^z.(a (^x1.x1))))(^y1.y1)) 5. ==[ beta ]==> ((a (^y.y))(^y1.y1)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 31570/1889991. ------ 1. ==[ start ]==> (((a b) c) c) REDUCED to normal form. ------ 31571/1890015. ------ 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 a) REDUCED to normal form. ------ 31572/1890042. ------ 1. ==[ start ]==> ((^a.(a a))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.b)(^z.a))) 3. ==[ beta ]==> (((^y.b)(^z.a))((^y.b)(^z.a))) 4. ==[ alpha ]==> (((^x.b)(^y.a))((^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. ------ 31573/1890069. ------ 1. ==[ start ]==> ((^a.b)((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.a)(^z.(z z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 31574/1890150. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((^z.a)(^x1.b))(^y.y)) 4. ==[ alpha ]==> (((^x.a)(^y.b))(^z.z)) 5. ==[ beta ]==> (a (^z.z)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 31575/1890216. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 31576/1890267. ------ 1. ==[ start ]==> ((^a.(^b.a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a b)(a (^z.z)))) 3. ==[ beta ]==> (^y.((a b)(a (^z.z)))) 4. ==[ alpha ]==> (^x.((a b)(a (^y.y)))) REDUCED to normal form. ------ 31577/1890609. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.a)((a a) a))) 3. ==[ beta ]==> (((^y.a)((a a) a))(((^y.a)((a a) a))((^y.a)((a a) a)))) 4. ==[ alpha ]==> (((^x.a)((a a) a))(((^y.a)((a a) a))((^z.a)((a a) a)))) 5. ==[ beta ]==> (a (((^y.a)((a a) a))((^z.a)((a a) a)))) 6. ==[ alpha ]==> (a (((^x.a)((a a) a))((^y.a)((a a) a)))) 7. ==[ beta ]==> (a (a ((^y.a)((a a) a)))) 8. ==[ alpha ]==> (a (a ((^x.a)((a a) a)))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 31578/1890834. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(c ((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(c ((a a) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 31579/1890882. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.(a a)))) REDUCED to normal form. ------ 31580/1891287. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^b.(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(a y))) 3. ==[ eta ]==> (((a (^x.x))(a (a a))) a) REDUCED to normal form. ------ 31581/1891392. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((((^y.(y y))(^z.(z z)))((^y.(y y))(^z.(z z))))((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> ((((^x.(x x))(^y.(y y)))((^z.(z z))(^x1.(x1 x1))))((^y1.(y1 y1))(^z1.(z1 z1)))) 5. ==[ beta ]==> ((((^y.(y y))(^y.(y y)))((^z.(z z))(^x1.(x1 x1))))((^y1.(y1 y1))(^z1.(z1 z1)))) 6. ==[ alpha ]==> ((((^x.(x x))(^y.(y y)))((^z.(z z))(^x1.(x1 x1))))((^y1.(y1 y1))(^z1.(z1 z1)))) IRREDUCIBLE: cycle. ------ 31582/1891485. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^a.(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(z b))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(z b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(z b))) 5. ==[ beta ]==> (a (^z.(z b))) 6. ==[ alpha ]==> (a (^x.(x b))) REDUCED to normal form. ------ 31583/1891827. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^b.((a a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(^y.((a a) a))) 3. ==[ beta ]==> (((a (a a)) a)(^y.((a a) a))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.((a a) a))) REDUCED to normal form. ------ 31584/1891905. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((^y.(y y))(^z.a)) b) 4. ==[ alpha ]==> (((^x.(x x))(^y.a)) b) 5. ==[ beta ]==> (((^y.a)(^y.a)) b) 6. ==[ alpha ]==> (((^x.a)(^y.a)) b) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 31585/1891998. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.((z z) z))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.((z z) z))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.((z z) z))) IRREDUCIBLE: cycle. ------ 31586/1892277. ------ 1. ==[ start ]==> (((a b)(^a.a))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 31587/1892421. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^b.(^b.(^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. ------ 31588/1892538. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^c.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.(a (a a)))) 3. ==[ beta ]==> ((^y.y)(^x1.(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (a a)))) 5. ==[ beta ]==> (^y.(a (a a))) 6. ==[ alpha ]==> (^x.(a (a a))) REDUCED to normal form. ------ 31589/1892763. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^c.d)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.d)) REDUCED to normal form. ------ 31590/1892961. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a a)(a a))(^y.((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a a))(^x.((^y.y) a))) 5. ==[ beta ]==> (((a a)(a a))(^x.a)) REDUCED to normal form. ------ 31591/1893042. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^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. ------ 31592/1893114. ------ 1. ==[ start ]==> (((^a.b) c)(^b.c)) 2. ==[ alpha ]==> (((^x.b) c)(^y.c)) 3. ==[ beta ]==> (b (^y.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 31593/1893123. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.y))) REDUCED to normal form. ------ 31594/1893174. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((((^z.z)(a (^x1.x1)))((^z.z)(a (^x1.x1))))(^y.y)) 4. ==[ alpha ]==> ((((^x.x)(a (^y.y)))((^z.z)(a (^x1.x1))))(^y1.y1)) 5. ==[ beta ]==> (((a (^y.y))((^z.z)(a (^x1.x1))))(^y1.y1)) 6. ==[ alpha ]==> (((a (^x.x))((^y.y)(a (^z.z))))(^x1.x1)) 7. ==[ beta ]==> (((a (^x.x))(a (^z.z)))(^x1.x1)) 8. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 31595/1893177. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 31596/1893348. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^a.(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(z z))) 3. ==[ beta ]==> (b (^z.(z z))) 4. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 31597/1893357. ------ 1. ==[ start ]==> (((a b) c)(^b.a)) 2. ==[ alpha ]==> (((a b) c)(^x.a)) REDUCED to normal form. ------ 31598/1893387. ------ 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 a)) REDUCED to normal form. ------ 31599/1893405. ------ 1. ==[ start ]==> (((^a.a) a)((a b) c)) 2. ==[ alpha ]==> (((^x.x) a)((a b) c)) 3. ==[ beta ]==> (a ((a b) c)) REDUCED to normal form. ------ 31600/1893414. ------ 1. ==[ start ]==> ((a (a a))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((a (a a))((^x.b)(^y.a))) 3. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 31601/1893441. ------ 1. ==[ start ]==> ((a b)((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a b)((^x.a)(^y.(y y)))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 31602/1893522. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.a)(^z.b))) 3. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 31603/1893558. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(b ((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y)(a a)))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 31604/1893585. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(a ((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^y.y))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 31605/1893612. ------ 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. ------ 31606/1893621. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(a a)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 31607/1893639. ------ 1. ==[ start ]==> ((a (^b.a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((a b)(a (^y.y)))) REDUCED to normal form. ------ 31608/1893675. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.a) d)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.a) d)) 3. ==[ beta ]==> ((^y.y)((^z.a) d)) 4. ==[ alpha ]==> ((^x.x)((^y.a) d)) 5. ==[ beta ]==> ((^y.a) d) 6. ==[ alpha ]==> ((^x.a) d) 7. ==[ beta ]==> a REDUCED to normal form. ------ 31609/1893720. ------ 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 REDUCED to normal form. ------ 31610/1893747. ------ 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. ------ 31611/1893801. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.y) a)((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((a a)((^y.y)(a a)))) 5. ==[ beta ]==> (a ((a a)((^y.y)(a a)))) 6. ==[ alpha ]==> (a ((a a)((^x.x)(a a)))) 7. ==[ beta ]==> (a ((a a)(a a))) REDUCED to normal form. ------ 31612/1893837. ------ 1. ==[ start ]==> (((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))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^x1.x1))) REDUCED to normal form. ------ 31613/1893864. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 31614/1893927. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 31615/1893954. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))((^y.y)(^z.z)))) 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. ------ 31616/1893981. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.a)((a a) a))) 3. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 31617/1894053. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a) 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. ------ 31618/1894080. ------ 1. ==[ start ]==> (((a (a a)) a)((a b) b)) REDUCED to normal form. ------ 31619/1894206. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(c ((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(c ((a a) a))) REDUCED to normal form. ------ 31620/1894224. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 31621/1894251. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^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. ------ 31622/1894296. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.b) b)) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.b) b)) 3. ==[ beta ]==> ((b b)((^y.b) b)) 4. ==[ alpha ]==> ((b b)((^x.b) b)) 5. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 31623/1894341. ------ 1. ==[ start ]==> (((^a.a)(^b.(^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 ]==> ((^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. ------ 31624/1894368. ------ 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. ------ 31625/1894422. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))((a a) a))) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1))((a a) a))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a) a))) 7. ==[ beta ]==> ((a (^y.y))((a a) a)) 8. ==[ alpha ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 31626/1894485. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)(^z.z))) REDUCED to normal form. ------ 31627/1894512. ------ 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. ------ 31628/1894539. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (^x.a))((^z.z)(^x1.a))) 6. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.a))) 7. ==[ beta ]==> ((a (^x.a))(^z.a)) 8. ==[ alpha ]==> ((a (^x.a))(^y.a)) REDUCED to normal form. ------ 31629/1894566. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (a a))(^z.(z z)))) REDUCED to normal form. ------ 31630/1894593. ------ 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)(^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. ------ 31631/1894629. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))((a a) a))) 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. ------ 31632/1894656. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)(a b))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(a b)) REDUCED to normal form. ------ 31633/1894683. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.b)(^x1.x1))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.b)(^x1.x1))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)(^z.z))) 5. ==[ beta ]==> ((a a)((^y.b)(^z.z))) 6. ==[ alpha ]==> ((a a)((^x.b)(^y.y))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 31634/1894737. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.(^a.a))(^b.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. ------ 31635/1894764. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(x x))(^y.(y y)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(y y))(^y.(y y)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 31636/1894800. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c ((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(c ((^y1.y1)(^z1.z1)))) 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. ------ 31637/1894854. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(a (a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(a (a b))) 3. ==[ beta ]==> (((^y.a)(^y.a))(a (a b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(a (a b))) 5. ==[ beta ]==> (a (a (a b))) REDUCED to normal form. ------ 31638/1894890. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^c.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. ------ 31639/1894917. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y)) c)) 3. ==[ beta ]==> ((((a a) a) a)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 31640/1894935. ------ 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))) 5. ==[ beta ]==> (((a a) a)((a (a a)) a)) REDUCED to normal form. ------ 31641/1894962. ------ 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)(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. ------ 31642/1895016. ------ 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)((^y.y) 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))) 7. ==[ beta ]==> ((a a)((a a)((a a) a))) REDUCED to normal form. ------ 31643/1895052. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a) a)(^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. ------ 31644/1895079. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^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. ------ 31645/1895115. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(x x))((^y.y) a))) 3. ==[ beta ]==> (((a a)((a a) a))(((^y.y) a)((^y.y) 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. ------ 31646/1895142. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.a)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(a (a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 31647/1895169. ------ 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)(^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. ------ 31648/1895196. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.y)((a a) a))) 3. ==[ beta ]==> (((a (a a)) a)((^y.y)((a a) a))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.x)((a a) a))) 5. ==[ beta ]==> (((a (a a)) a)((a a) a)) REDUCED to normal form. ------ 31649/1895250. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.(^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. ------ 31650/1895268. ------ 1. ==[ start ]==> (((^a.b) a)((a (a a)) c)) 2. ==[ alpha ]==> (((^x.b) a)((a (a a)) c)) 3. ==[ beta ]==> (b ((a (a a)) c)) REDUCED to normal form. ------ 31651/1895277. ------ 1. ==[ start ]==> ((a (a b))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((a (a b))((^x.(x x))(^y.a))) 3. ==[ beta ]==> ((a (a b))((^y.a)(^y.a))) 4. ==[ alpha ]==> ((a (a b))((^x.a)(^y.a))) 5. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 31652/1895367. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a ((a a) a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(a ((a a) a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a ((a a) a))) IRREDUCIBLE: cycle. ------ 31653/1895430. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(a a)) c)) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(x x)) c)) 3. ==[ beta ]==> ((((a a) a) b)(c c)) REDUCED to normal form. ------ 31654/1895448. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (b (((^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. ------ 31655/1895475. ------ 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)))) REDUCED to normal form. ------ 31656/1895502. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a 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. ------ 31657/1895538. ------ 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.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. ------ 31658/1895565. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 31659/1895592. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> ((^y.a)(((^z.z) a)(^x1.a))) 6. ==[ alpha ]==> ((^x.a)(((^y.y) a)(^z.a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 31660/1895619. ------ 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. ------ 31661/1895646. ------ 1. ==[ start ]==> (((a b)(^a.a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 31662/1895682. ------ 1. ==[ start ]==> (((a a)(a b))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 31663/1895709. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 31664/1895736. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.a))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 31665/1895763. ------ 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. ------ 31666/1895790. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> (a ((^y.y)(^z.(^x1.x1)))) 8. ==[ alpha ]==> (a ((^x.x)(^y.(^z.z)))) 9. ==[ beta ]==> (a (^y.(^z.z))) 10. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 31667/1895835. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.b) b)((^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. ------ 31668/1895880. ------ 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) a))) 3. ==[ beta ]==> ((^y.(a a))((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(a a))((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 31669/1895907. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)(a (a a)))) 5. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 31670/1896051. ------ 1. ==[ start ]==> (((a b) b)((a (a a)) a)) REDUCED to normal form. ------ 31671/1896078. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y) a) b)) 3. ==[ beta ]==> (((a a) a)(((^y.y) a) b)) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a) b)) 5. ==[ beta ]==> (((a a) a)(a b)) REDUCED to normal form. ------ 31672/1896105. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (^a.a)) c)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (^y.y)) c)) REDUCED to normal form. ------ 31673/1896123. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(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. ------ 31674/1896177. ------ 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 ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1) 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. ------ 31675/1896186. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^b.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. ------ 31676/1896267. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 31677/1896294. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 31678/1896330. ------ 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) a))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)((^y.y) a))) 5. ==[ beta ]==> (((a a)(a a))((^y.y) a)) 6. ==[ alpha ]==> (((a a)(a a))((^x.x) a)) 7. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 31679/1896357. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 31680/1896384. ------ 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. ------ 31681/1896411. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.a)) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.a)) REDUCED to normal form. ------ 31682/1896465. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(b (^a.(^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. ------ 31683/1896483. ------ 1. ==[ start ]==> (((^a.b) c)((^a.a) c)) 2. ==[ alpha ]==> (((^x.b) c)((^y.y) c)) 3. ==[ beta ]==> (b ((^y.y) c)) 4. ==[ alpha ]==> (b ((^x.x) c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 31684/1896492. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(a (^y.a))) REDUCED to normal form. ------ 31685/1896519. ------ 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. ------ 31686/1896546. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(a (^z.z))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (^y.y))) REDUCED to normal form. ------ 31687/1896582. ------ 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. ------ 31688/1896717. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(a (a a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(a (a a))) 3. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 31689/1896726. ------ 1. ==[ start ]==> (((a b) c)((^a.a) a)) 2. ==[ alpha ]==> (((a b) c)((^x.x) a)) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 31690/1896752. ------ 1. ==[ start ]==> (^a.(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (^x.(((^y.y)(x x)) b)) 3. ==[ beta ]==> (^x.((x x) b)) REDUCED to normal form. ------ 31691/1896753. ------ 1. ==[ start ]==> (a (((^a.a)(a a)) b)) 2. ==[ alpha ]==> (a (((^x.x)(a a)) b)) 3. ==[ beta ]==> (a ((a a) b)) REDUCED to normal form. ------ 31692/1899033. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.((^z.((^x1.x1)(^y1.y1)))(^z.((^x1.x1)(^y1.y1))))) 4. ==[ alpha ]==> (^x.((^y.((^z.z)(^x1.x1)))(^y1.((^z1.z1)(^x2.x2))))) 5. ==[ beta ]==> (^x.((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 31693/1900098. ------ 1. ==[ start ]==> (((a b) c) d) REDUCED to normal form. ------ 31694/1900125. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b) a) 2. ==[ alpha ]==> ((((^x.x)(a a)) b) a) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 31695/1900131. ------ 1. ==[ start ]==> ((^a.a)(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((^x.x)(((^y.y)(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. ------ 31696/1900140. ------ 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. ------ 31697/1900158. ------ 1. ==[ start ]==> ((^a.(a a))((a b) c)) 2. ==[ alpha ]==> ((^x.(x x))((a b) c)) 3. ==[ beta ]==> (((a b) c)((a b) c)) REDUCED to normal form. ------ 31698/1900221. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 31699/1900332. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 31700/1900341. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((z z)(^x1.x1)))) REDUCED to normal form. ------ 31701/1900557. ------ 1. ==[ start ]==> (((a a)(^b.a))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.a))(^y.(a a))) REDUCED to normal form. ------ 31702/1900626. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 31703/1900950. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 31704/1901223. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(z z)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(z z)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(y y)))) 7. ==[ beta ]==> (^y.(^z.(y y))) 8. ==[ alpha ]==> (^x.(^y.(x x))) REDUCED to normal form. ------ 31705/1901601. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(^x1.z))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(^x1.z))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(^x1.z))) 5. ==[ beta ]==> (a (^z.(^x1.z))) 6. ==[ alpha ]==> (a (^x.(^y.x))) REDUCED to normal form. ------ 31706/1901772. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^c.((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.((a a) a))) REDUCED to normal form. ------ 31707/1901841. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 31708/1902021. ------ 1. ==[ start ]==> ((^a.(a b))((a (a a)) c)) 2. ==[ alpha ]==> ((^x.(x b))((a (a a)) c)) 3. ==[ beta ]==> (((a (a a)) c) b) REDUCED to normal form. ------ 31709/1902114. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(^x1.a))) IRREDUCIBLE: cycle. ------ 31710/1902408. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.(((^z.z)((^x1.x1)(^y1.y1)))((^z.z)((^x1.x1)(^y1.y1))))) 4. ==[ alpha ]==> (^x.(((^y.y)((^z.z)(^x1.x1)))((^y1.y1)((^z1.z1)(^x2.x2))))) 5. ==[ beta ]==> (^x.(((^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 ]==> (^x.((^z.z)((^x1.x1)((^y1.y1)(^z1.z1))))) 8. ==[ alpha ]==> (^x.((^y.y)((^z.z)((^x1.x1)(^y1.y1))))) 9. ==[ beta ]==> (^x.((^z.z)((^x1.x1)(^y1.y1)))) 10. ==[ alpha ]==> (^x.((^y.y)((^z.z)(^x1.x1)))) 11. ==[ beta ]==> (^x.((^z.z)(^x1.x1))) 12. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 13. ==[ beta ]==> (^x.(^z.z)) 14. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 31711/1902411. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(a a)))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 31712/1902615. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.a) c)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.a) c)) 3. ==[ beta ]==> ((^y.y)(((^z.a) c)((^z.a) c))) 4. ==[ alpha ]==> ((^x.x)(((^y.a) c)((^z.a) c))) 5. ==[ beta ]==> (((^y.a) c)((^z.a) c)) 6. ==[ alpha ]==> (((^x.a) c)((^y.a) c)) 7. ==[ beta ]==> (a ((^y.a) c)) 8. ==[ alpha ]==> (a ((^x.a) c)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 31713/1902789. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 31714/1902987. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^c.((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^y.a)) REDUCED to normal form. ------ 31715/1903005. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 31716/1903230. ------ 1. ==[ start ]==> (((^a.b) c)(^c.(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)))) REDUCED to normal form. ------ 31717/1903239. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^b.c)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.c)) REDUCED to normal form. ------ 31718/1903290. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^z.(^x1.x1)))((a a)(^z.(^x1.x1))))(^y.y)) 4. ==[ alpha ]==> ((((a a)(^x.(^y.y)))((a a)(^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 31719/1903464. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 31720/1903473. ------ 1. ==[ start ]==> (((a b) c)(^a.(a a))) 2. ==[ alpha ]==> (((a b) c)(^x.(x x))) REDUCED to normal form. ------ 31721/1903500. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^a.a)) 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. ------ 31722/1903512. ------ 1. ==[ start ]==> ((a a)(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((a a)(((^x.x)(a a)) b)) 3. ==[ beta ]==> ((a a)((a a) b)) REDUCED to normal form. ------ 31723/1903521. ------ 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 a)) REDUCED to normal form. ------ 31724/1903539. ------ 1. ==[ start ]==> ((a (a a))((a b) c)) REDUCED to normal form. ------ 31725/1903548. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.a))) 5. ==[ beta ]==> ((^y.b)(^z.a)) 6. ==[ alpha ]==> ((^x.b)(^y.a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 31726/1903602. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.(^a.a))(^b.(^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. ------ 31727/1903656. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.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. ------ 31728/1903665. ------ 1. ==[ start ]==> (((a a) b)(c (a b))) REDUCED to normal form. ------ 31729/1903683. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 31730/1903692. ------ 1. ==[ start ]==> (((a (^a.a)) a)(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(b ((^y.y)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(b (a a))) REDUCED to normal form. ------ 31731/1903719. ------ 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. ------ 31732/1903746. ------ 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. ------ 31733/1903782. ------ 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. ------ 31734/1903800. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((a a) a)((^z.z) a))) 3. ==[ beta ]==> ((^y.y)(((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. ------ 31735/1903881. ------ 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. ------ 31736/1903908. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a (^y.y))(a b))) 3. ==[ beta ]==> ((a a)((a (^y.y))(a b))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(a b))) REDUCED to normal form. ------ 31737/1903926. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(b (^b.(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)))) REDUCED to normal form. ------ 31738/1903935. ------ 1. ==[ start ]==> (((a a)(^b.a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(^x.a))((a a)(a a))) REDUCED to normal form. ------ 31739/1904007. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 31740/1904025. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((a a) a)(^y.a))) 3. ==[ beta ]==> (((a a) a)(((a a) a)(^y.a))) 4. ==[ alpha ]==> (((a a) a)(((a a) a)(^x.a))) REDUCED to normal form. ------ 31741/1904052. ------ 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)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.(x1 x1))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(z z))) REDUCED to normal form. ------ 31742/1904079. ------ 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. ------ 31743/1904115. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)((a a) a))) 3. ==[ beta ]==> ((^y.(y y))((^z.a)((a a) a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.a)((a a) a))) 5. ==[ beta ]==> (((^y.a)((a a) a))((^y.a)((a a) a))) 6. ==[ alpha ]==> (((^x.a)((a a) a))((^y.a)((a a) a))) 7. ==[ beta ]==> (a ((^y.a)((a a) a))) 8. ==[ alpha ]==> (a ((^x.a)((a a) a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 31744/1904142. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 31745/1904196. ------ 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 ]==> (((^y.y)(^y.y))((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(^x1.x1))) 5. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.z))) 7. ==[ beta ]==> ((^y.(a a))(^z.z)) 8. ==[ alpha ]==> ((^x.(a a))(^y.y)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 31746/1904223. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.b)(^a.(^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. ------ 31747/1904304. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))(^y.y)) 8. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 31748/1904331. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 31749/1904403. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(a a)) a)) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(a a)) a)) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(a a)) a)) 5. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 31750/1904421. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a b)(a a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a b)(a a))) 3. ==[ beta ]==> ((b b)((a b)(a a))) REDUCED to normal form. ------ 31751/1904430. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.b) b)) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.b) b)) 3. ==[ beta ]==> (((a (a a))(a a)) b) REDUCED to normal form. ------ 31752/1904556. ------ 1. ==[ start ]==> (((a (a a)) b)((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a)) b)((a (^x.x))((a a) a))) REDUCED to normal form. ------ 31753/1904583. ------ 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. ------ 31754/1904601. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^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. ------ 31755/1904628. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a 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. ------ 31756/1904682. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))((^y1.y1) 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. ------ 31757/1904781. ------ 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. ------ 31758/1904808. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a b) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a b) a)) 3. ==[ beta ]==> ((a ((^y.y) a))((a b) a)) 4. ==[ alpha ]==> ((a ((^x.x) a))((a b) a)) 5. ==[ beta ]==> ((a a)((a b) a)) REDUCED to normal form. ------ 31759/1904835. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((a a) a) b)) REDUCED to normal form. ------ 31760/1904925. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.a)(^b.(^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. ------ 31761/1904979. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.z)(^x1.b))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.z)(^x1.b))) 5. ==[ beta ]==> (a ((^z.z)(^x1.b))) 6. ==[ alpha ]==> (a ((^x.x)(^y.b))) 7. ==[ beta ]==> (a (^y.b)) 8. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 31762/1905015. ------ 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. ------ 31763/1905042. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(^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. ------ 31764/1905096. ------ 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)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (a (a a)))) REDUCED to normal form. ------ 31765/1905123. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(x x)))((a (^y.y))(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 31766/1905141. ------ 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) a)((^y.y) a))(b (^z.a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b (^z.a))) 5. ==[ beta ]==> ((a ((^y.y) a))(b (^z.a))) 6. ==[ alpha ]==> ((a ((^x.x) a))(b (^y.a))) 7. ==[ beta ]==> ((a a)(b (^y.a))) 8. ==[ alpha ]==> ((a a)(b (^x.a))) REDUCED to normal form. ------ 31767/1905150. ------ 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. ------ 31768/1905222. ------ 1. ==[ start ]==> ((a (^a.b))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 31769/1905240. ------ 1. ==[ start ]==> (((a a)((a a) a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a a)((a a) a))((a (a a))(^x.a))) REDUCED to normal form. ------ 31770/1905267. ------ 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.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a (^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.(z z)))) REDUCED to normal form. ------ 31771/1905294. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a (a a)))((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (a a)))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 31772/1905348. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((a a) a) a)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((a a) a) a)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a) a) a)) 5. ==[ beta ]==> ((a (^y.y))(((a a) a) a)) 6. ==[ alpha ]==> ((a (^x.x))(((a a) a) a)) REDUCED to normal form. ------ 31773/1905375. ------ 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. ------ 31774/1905402. ------ 1. ==[ start ]==> ((a (a b))((a (a a)) c)) REDUCED to normal form. ------ 31775/1905411. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((^y.b)((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> ((^x.b)((^y.(y y))(^z.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 31776/1905555. ------ 1. ==[ start ]==> ((((a a) a) b)((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 31777/1905582. ------ 1. ==[ start ]==> (((a b) a)(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a b) a)(((^x.x) 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. ------ 31778/1905600. ------ 1. ==[ start ]==> (((^a.a)(a b))(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 31779/1905609. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 31780/1905627. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 31781/1905681. ------ 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)))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 31782/1905762. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(^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. ------ 31783/1905789. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(a a)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.z))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 31784/1905807. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x)(^y.y)) a)) 3. ==[ beta ]==> (((a a)(a b))((^y.y) a)) 4. ==[ alpha ]==> (((a a)(a b))((^x.x) a)) 5. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 31785/1905834. ------ 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. ------ 31786/1905942. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.z)) 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. ------ 31787/1905960. ------ 1. ==[ start ]==> (((^a.b) b)((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.b) b)((a (a a))(a a))) 3. ==[ beta ]==> (b ((a (a a))(a a))) REDUCED to normal form. ------ 31788/1905969. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a b)(a a))((^x.(x x)) b)) 3. ==[ beta ]==> (((a b)(a a))(b b)) REDUCED to normal form. ------ 31789/1905996. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.a) c)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.a) c)) 3. ==[ beta ]==> ((a (a a))((^y.a) c)) 4. ==[ alpha ]==> ((a (a a))((^x.a) c)) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 31790/1906005. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(c (^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c (^z.a))) 3. ==[ beta ]==> ((^y.(a a))(c (^z.a))) 4. ==[ alpha ]==> ((^x.(a a))(c (^y.a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 31791/1906032. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(b (^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(b (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(y y)))) 5. ==[ beta ]==> (b (^y.(y y))) 6. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 31792/1906086. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(a a))) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(a a))) 7. ==[ beta ]==> ((^y.(y y))(a a)) 8. ==[ alpha ]==> ((^x.(x x))(a a)) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 31793/1906167. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 31794/1906221. ------ 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)))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 31795/1906230. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(c (a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(c (a (^y.y)))) REDUCED to normal form. ------ 31796/1906248. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(^a.a))(^b.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. ------ 31797/1906257. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(b ((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(b a)) REDUCED to normal form. ------ 31798/1906311. ------ 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. ------ 31799/1906338. ------ 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 (^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))((a (^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(a (^z.z)))) 7. ==[ beta ]==> (((a (^y.y))(a (^z.z)))((a (^y.y))(a (^z.z)))) 8. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 31800/1906365. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a a)((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((a a) a)) REDUCED to normal form. ------ 31801/1906383. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(a (^z.(z z)))) 3. ==[ beta ]==> (b (a (^z.(z z)))) 4. ==[ alpha ]==> (b (a (^x.(x x)))) REDUCED to normal form. ------ 31802/1906455. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a a)(^y.a))) 3. ==[ beta ]==> (((a a)(a a))((a a)(^y.a))) 4. ==[ alpha ]==> (((a a)(a a))((a a)(^x.a))) REDUCED to normal form. ------ 31803/1906482. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y) a) a)) 3. ==[ beta ]==> (((a (^x.x))(a b))(a a)) REDUCED to normal form. ------ 31804/1906509. ------ 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. ------ 31805/1906563. ------ 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)) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 31806/1906590. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((((a a) a) a)((^y.(^z.z)) b)) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y)) b)) 5. ==[ beta ]==> ((((a a) a) a)(^y.y)) 6. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 31807/1906608. ------ 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. ------ 31808/1906617. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.a) c)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y) c)) 3. ==[ beta ]==> (((a b)(a (^x.x))) c) REDUCED to normal form. ------ 31809/1906644. ------ 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. ------ 31810/1906671. ------ 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. ------ 31811/1906707. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(^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. ------ 31812/1906842. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (b ((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.x)(^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 31813/1906851. ------ 1. ==[ start ]==> (((a b) c)(a (a a))) REDUCED to normal form. ------ 31814/1906878. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(a a)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(a a)) 3. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 31815/1909167. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (^x.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 31816/1910259. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b) b) 2. ==[ alpha ]==> ((((^x.x)(a a)) b) b) 3. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 31817/1910283. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a)) b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 31818/1910484. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 31819/1910526. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.(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 a)) REDUCED to normal form. ------ 31820/1910598. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ eta ]==> ((^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. ------ 31821/1910769. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 31822/1910943. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) 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)(^x.(a a))) REDUCED to normal form. ------ 31823/1911168. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> ((a (a (^y.y)))(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.((^z.z)(y y)))) 5. ==[ beta ]==> ((a (a (^x.x)))(^y.(y y))) REDUCED to normal form. ------ 31824/1911219. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((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. ------ 31825/1911375. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 31826/1911942. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.b))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 31827/1911984. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 31828/1912428. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^a.(^c.a))) 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. ------ 31829/1912551. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a a)(^b.(^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. ------ 31830/1912554. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 31831/1912707. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 31832/1912758. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((((^z.z) a)(a (^x1.x1)))(((^z.z) a)(a (^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)((((^y.y) a)(a (^z.z)))(((^x1.x1) a)(a (^y1.y1))))) 5. ==[ beta ]==> ((((^y.y) a)(a (^z.z)))(((^x1.x1) a)(a (^y1.y1)))) 6. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((^z.z) a)(a (^x1.x1)))) 7. ==[ beta ]==> ((a (a (^y.y)))(((^z.z) a)(a (^x1.x1)))) 8. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) a)(a (^z.z)))) 9. ==[ beta ]==> ((a (a (^x.x)))(a (a (^z.z)))) 10. ==[ alpha ]==> ((a (a (^x.x)))(a (a (^y.y)))) REDUCED to normal form. ------ 31833/1912932. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 31834/1912941. ------ 1. ==[ start ]==> (((a b) b)(^b.(a (a a)))) 2. ==[ alpha ]==> (((a b) b)(^x.(a (a a)))) REDUCED to normal form. ------ 31835/1913157. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 31836/1913328. ------ 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) z))) 3. ==[ eta ]==> ((((^x.x)(^y.y))(a (a a)))(^x1.x1)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(^z.z)) 5. ==[ beta ]==> (((^y.y)(a (a a)))(^z.z)) 6. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.y)) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 31837/1913373. ------ 1. ==[ start ]==> (((^a.b) c)(^d.(^a.(^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. ------ 31838/1913382. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 31839/1913433. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(b b)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(b b)) 3. ==[ beta ]==> (((b b)(b b))(^y.y)) 4. ==[ alpha ]==> (((b b)(b b))(^x.x)) REDUCED to normal form. ------ 31840/1913607. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^c.a)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.a)) 3. ==[ beta ]==> (b (^z.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 31841/1913616. ------ 1. ==[ start ]==> (((a b) c)(^b.(^a.a))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.y))) REDUCED to normal form. ------ 31842/1913643. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.(^z.z))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 31843/1913673. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a)) b)) 3. ==[ beta ]==> ((a (^x.x))((a a) b)) REDUCED to normal form. ------ 31844/1913682. ------ 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 a)) REDUCED to normal form. ------ 31845/1913700. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a b) c)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a b) c)) 3. ==[ beta ]==> ((^y.y)((a b) c)) 4. ==[ alpha ]==> ((^x.x)((a b) c)) 5. ==[ beta ]==> ((a b) c) REDUCED to normal form. ------ 31846/1913709. ------ 1. ==[ start ]==> (((a a) a)((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a a) a)((^x.b)(^y.a))) 3. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 31847/1913763. ------ 1. ==[ start ]==> (((^a.a) b)((^b.(^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. ------ 31848/1913817. ------ 1. ==[ start ]==> (((a a) b)((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a a) b)((^x.a)(^y.b))) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 31849/1913844. ------ 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)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 31850/1913916. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(a a)) b)) 2. ==[ alpha ]==> ((a (^x.a))((^y.(a a)) b)) 3. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 31851/1913934. ------ 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. ------ 31852/1913961. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((a a) a) a)) REDUCED to normal form. ------ 31853/1913988. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x) 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)))) 7. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 31854/1914087. ------ 1. ==[ start ]==> (((a a)(^b.a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(b (^y.(a a)))) REDUCED to normal form. ------ 31855/1914141. ------ 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))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 31856/1914159. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 31857/1914249. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((^y.y)(^z.z)))) 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. ------ 31858/1914294. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 31859/1914330. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) 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. ------ 31860/1914348. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z)(a a)) a)) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z)(a a)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a)) a)) 5. ==[ beta ]==> ((^y.y)(((^z.z)(a a)) a)) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a)) a)) 7. ==[ beta ]==> (((^y.y)(a a)) a) 8. ==[ alpha ]==> (((^x.x)(a a)) a) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 31861/1914357. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(a a))(^y.y))) 3. ==[ beta ]==> (((a (a a)) a)(a a)) REDUCED to normal form. ------ 31862/1914375. ------ 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. ------ 31863/1914384. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 31864/1914411. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 31865/1914438. ------ 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 z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 31866/1914465. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.x))((^z.(^x1.x1))(^z.(^x1.x1)))) 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. ------ 31867/1914528. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(b (a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(b (a b))) 3. ==[ beta ]==> (((a (^x.x)) a)(b (a b))) REDUCED to normal form. ------ 31868/1914555. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(a ((^z.z)(a a)))) 3. ==[ beta ]==> ((a (a (^y.y)))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(a ((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a (^x.x)))(a (a a))) REDUCED to normal form. ------ 31869/1914582. ------ 1. ==[ start ]==> (((a (a a))(a a))((a b)(a a))) REDUCED to normal form. ------ 31870/1914609. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a) a)(a (^z.z)))) 3. ==[ beta ]==> ((a (^y.y))(((a a) a)(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 31871/1914618. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.a) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 31872/1914708. ------ 1. ==[ start ]==> (((a (a a)) b)(c (^c.a))) 2. ==[ alpha ]==> (((a (a a)) b)(c (^x.a))) REDUCED to normal form. ------ 31873/1914735. ------ 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. ------ 31874/1914762. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.(a a)))) REDUCED to normal form. ------ 31875/1914780. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a b)(^z.z))) 3. ==[ beta ]==> ((^y.y)((a b)(^z.z))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.y))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 31876/1914789. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.b)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) b) REDUCED to normal form. ------ 31877/1914816. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 31878/1914834. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)(^y1.a))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(^x1.a))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.a)) 8. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.a)) REDUCED to normal form. ------ 31879/1914843. ------ 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.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. ------ 31880/1914870. ------ 1. ==[ start ]==> ((((^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 a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(a (a a)))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (a a)))) 7. ==[ beta ]==> ((^y.(y y))(a (a a))) 8. ==[ alpha ]==> ((^x.(x x))(a (a a))) 9. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 31881/1915212. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z)) c)) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y)) c)) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 31882/1915302. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(b (^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(b (^y.a))) REDUCED to normal form. ------ 31883/1915329. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(a (^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(a (^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.b))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 31884/1915374. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.b))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.b))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 31885/1915545. ------ 1. ==[ start ]==> (((^a.b) a)((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 31886/1915563. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (a a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (a a)) c)) 3. ==[ beta ]==> ((^y.b)((a (a a)) c)) 4. ==[ alpha ]==> ((^x.b)((a (a a)) c)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 31887/1915725. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^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. ------ 31888/1915761. ------ 1. ==[ start ]==> (((a a)(^a.b))(c (^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(c (^y.(y y)))) REDUCED to normal form. ------ 31889/1915815. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(a (^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a (^x1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (^x1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 31890/1915833. ------ 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))(^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. ------ 31891/1915842. ------ 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)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 31892/1915869. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(x1 x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(x1 x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.a)((^z.(z z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)((^y.(y y))(a (^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 31893/1915896. ------ 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. ------ 31894/1915914. ------ 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 ((a (^y.y))(^z.(z z)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 31895/1915923. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 31896/1915941. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 31897/1916067. ------ 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. ------ 31898/1916094. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a (^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 31899/1916121. ------ 1. ==[ start ]==> (((a b)(a a))((a (a a))(a a))) REDUCED to normal form. ------ 31900/1916148. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)(a (^z.z)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a)(a (^y.y)))) 5. ==[ beta ]==> ((a (a a))(a (a (^y.y)))) 6. ==[ alpha ]==> ((a (a a))(a (a (^x.x)))) REDUCED to normal form. ------ 31901/1916157. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.a) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a) c)) 3. ==[ beta ]==> ((^y.(a a))((^z.a) c)) 4. ==[ alpha ]==> ((^x.(a a))((^y.a) c)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 31902/1916238. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (a a))(^x1.x1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (a a))(^x1.x1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))(^y1.y1))) 5. ==[ beta ]==> ((^y.y)((a (a a))(^y1.y1))) 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. ------ 31903/1916319. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((a a)(^x.(x x)))) REDUCED to normal form. ------ 31904/1916328. ------ 1. ==[ start ]==> (((a b) b)((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a b) b)((^x.x)(a (a a)))) 3. ==[ beta ]==> (((a b) b)(a (a a))) REDUCED to normal form. ------ 31905/1916355. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))(^z.z))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.y))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^y.y))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 31906/1916373. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z) a) b)) 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. ------ 31907/1916382. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.a)(^a.(^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. ------ 31908/1916400. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((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. ------ 31909/1916409. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(^a.a))(^b.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. ------ 31910/1916454. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1)) a)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1)) a)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1)) a)) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1)) a)) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z)) a)) 9. ==[ beta ]==> ((^y.y)((^z.(z z)) a)) 10. ==[ alpha ]==> ((^x.x)((^y.(y y)) a)) 11. ==[ beta ]==> ((^y.(y y)) a) 12. ==[ alpha ]==> ((^x.(x x)) a) 13. ==[ beta ]==> (a a) REDUCED to normal form. ------ 31911/1916517. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(b (^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(b (^y.a))) REDUCED to normal form. ------ 31912/1916544. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.(z z)))) REDUCED to normal form. ------ 31913/1916571. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.a)(a a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(a a))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 31914/1916607. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(b c)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(b c)) 3. ==[ beta ]==> (((a a)(a a))(b c)) REDUCED to normal form. ------ 31915/1916688. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(b (a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(b (a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(b (a (^y.y)))) REDUCED to normal form. ------ 31916/1916715. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(a ((^z.z) a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(a ((^z.z) a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(a ((^y.y) a))) 5. ==[ beta ]==> ((a (a a))(a ((^y.y) a))) 6. ==[ alpha ]==> ((a (a a))(a ((^x.x) a))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 31917/1916742. ------ 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))) 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. ------ 31918/1916760. ------ 1. ==[ start ]==> (((^a.b) c)(b (^a.(^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. ------ 31919/1916769. ------ 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. ------ 31920/1916823. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(b b)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(b b)) REDUCED to normal form. ------ 31921/1916859. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((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. ------ 31922/1916994. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a a) a)) 3. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 31923/1917003. ------ 1. ==[ start ]==> (((a b) c)((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a b) c)((^x.x)(^y.y))) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 31924/1917030. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(a (^y.y))) 3. ==[ beta ]==> (((a a) b)(a (^y.y))) 4. ==[ alpha ]==> (((a a) b)(a (^x.x))) REDUCED to normal form. ------ 31925/1920420. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b) c) 2. ==[ alpha ]==> ((((^x.x)(a a)) b) c) 3. ==[ beta ]==> (((a a) b) c) REDUCED to normal form. ------ 31926/1920471. ------ 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 a)((^x1.(a a))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 31927/1920498. ------ 1. ==[ start ]==> ((^a.b)((^a.b)(^b.a))) 2. ==[ alpha ]==> ((^x.b)((^y.b)(^z.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 31928/1920672. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y)(^z.z)))) 5. ==[ beta ]==> (^y.((y y)(^z.z))) 6. ==[ alpha ]==> (^x.((x x)(^y.y))) REDUCED to normal form. ------ 31929/1920696. ------ 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. ------ 31930/1921038. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))((^z.z)(^x1.x1)))(((^y.(y y))((^z.z)(^x1.x1)))((^y.(y y))((^z.z)(^x1.x1))))) 4. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((^x1.(x1 x1))((^y1.y1)(^z1.z1)))((^x2.(x2 x2))((^y2.y2)(^z2.z2))))) 5. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.(x1 x1))((^y1.y1)(^z1.z1)))((^x2.(x2 x2))((^y2.y2)(^z2.z2))))) 6. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.(y1 y1))((^z1.z1)(^x2.x2)))((^y2.(y2 y2))((^z2.z2)(^x3.x3))))) 7. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.(y1 y1))((^z1.z1)(^x2.x2)))((^y2.(y2 y2))((^z2.z2)(^x3.x3))))) 8. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.(x1 x1))((^y1.y1)(^z1.z1)))((^x2.(x2 x2))((^y2.y2)(^z2.z2))))) 9. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.(x1 x1))((^y1.y1)(^z1.z1)))((^x2.(x2 x2))((^y2.y2)(^z2.z2))))) 10. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.(z z))((^x1.x1)(^y1.y1)))((^z1.(z1 z1))((^x2.x2)(^y2.y2))))) 11. ==[ beta ]==> ((^y.y)(((^z.(z z))((^x1.x1)(^y1.y1)))((^z1.(z1 z1))((^x2.x2)(^y2.y2))))) 12. ==[ alpha ]==> ((^x.x)(((^y.(y y))((^z.z)(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(^x2.x2))))) 13. ==[ beta ]==> (((^y.(y y))((^z.z)(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 14. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 15. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 16. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 17. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 18. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 19. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 20. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 21. ==[ beta ]==> ((^y.y)((^z.(z z))((^x1.x1)(^y1.y1)))) 22. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(^x1.x1)))) 23. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.x1))) 24. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.z))) 25. ==[ beta ]==> (((^y.y)(^z.z))((^y.y)(^z.z))) 26. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 27. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 28. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 29. ==[ beta ]==> ((^y.y)(^z.z)) 30. ==[ alpha ]==> ((^x.x)(^y.y)) 31. ==[ beta ]==> (^y.y) 32. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 31931/1921113. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^c.(^b.(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. ------ 31932/1921338. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((a (a (^y.y)))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 31933/1921743. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(a z))) 3. ==[ eta ]==> ((((^x.x) a)((^y.y) a)) a) 4. ==[ beta ]==> ((a ((^y.y) a)) a) 5. ==[ alpha ]==> ((a ((^x.x) a)) a) 6. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 31934/1921821. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^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))) 4. ==[ alpha ]==> ((((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.a)))((^x2.(^y2.y2))(^z2.a))) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))(^z1.a)))((^x2.(^y2.y2))(^z2.a))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(^x1.a)))((^y1.(^z1.z1))(^x2.a))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.a))((^y1.(^z1.z1))(^x2.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. ------ 31935/1922283. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(^x1.((a a) a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(^x1.((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.((a a) a))) 5. ==[ beta ]==> ((a (^y.y))(^z.((a a) a))) 6. ==[ alpha ]==> ((a (^x.x))(^y.((a a) a))) REDUCED to normal form. ------ 31936/1922334. ------ 1. ==[ start ]==> ((^a.(a b))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.y1))) b) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1))) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 31937/1922742. ------ 1. ==[ start ]==> (((a a)(a b))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a b))(^x.(^z.z))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 31938/1922877. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 31939/1923111. ------ 1. ==[ start ]==> (((a b) b)(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a b) b)(^x.(^y.(y y)))) REDUCED to normal form. ------ 31940/1923237. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.(x1 (x1 x1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(y1 (y1 y1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(y1 (y1 y1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(x1 (x1 x1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 (x1 x1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z (z z)))) 9. ==[ beta ]==> ((^y.y)(^z.(z (z z)))) 10. ==[ alpha ]==> ((^x.x)(^y.(y (y y)))) 11. ==[ beta ]==> (^y.(y (y y))) 12. ==[ alpha ]==> (^x.(x (x x))) REDUCED to normal form. ------ 31941/1923318. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^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. ------ 31942/1923417. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^y.a)) REDUCED to normal form. ------ 31943/1923498. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(^z.a))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.a))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.a))) REDUCED to normal form. ------ 31944/1923579. ------ 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. ------ 31945/1923603. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((((^z.(^x1.x1))(a a))((^z.(^x1.x1))(a a)))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.y))(a a))((^z.(^x1.x1))(a a)))(^y1.y1)) 5. ==[ beta ]==> (((^y.y)((^z.(^x1.x1))(a a)))(^y1.y1)) 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)(^z.z)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 31946/1923642. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^a.c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^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. ------ 31947/1923777. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^a.b)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.b)) 3. ==[ beta ]==> (b (^z.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 31948/1923786. ------ 1. ==[ start ]==> (((a b) c)(^c.a)) 2. ==[ alpha ]==> (((a b) c)(^x.a)) REDUCED to normal form. ------ 31949/1923813. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^b.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. ------ 31950/1923861. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y)(a a)) b)) 3. ==[ beta ]==> (a (((^y.y)(a a)) b)) 4. ==[ alpha ]==> (a (((^x.x)(a a)) b)) 5. ==[ beta ]==> (a ((a a) b)) REDUCED to normal form. ------ 31951/1923870. ------ 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 a)) REDUCED to normal form. ------ 31952/1923888. ------ 1. ==[ start ]==> (((a a) a)((a b) c)) REDUCED to normal form. ------ 31953/1923897. ------ 1. ==[ start ]==> ((a b)((^a.b)(^b.a))) 2. ==[ alpha ]==> ((a b)((^x.b)(^y.a))) 3. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 31954/1923951. ------ 1. ==[ start ]==> (((a a)(a a))((^b.(^a.a))(^b.(^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. ------ 31955/1924041. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(b ((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^y.y))(b ((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(b ((^y.y)(a a)))) 5. ==[ beta ]==> ((a (^x.x))(b (a a))) REDUCED to normal form. ------ 31956/1924068. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(a ((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.y)(a ((a a)(^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. ------ 31957/1924095. ------ 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. ------ 31958/1924131. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.b) c)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.b) c)) 3. ==[ beta ]==> ((^y.y)((^z.b) c)) 4. ==[ alpha ]==> ((^x.x)((^y.b) c)) 5. ==[ beta ]==> ((^y.b) c) 6. ==[ alpha ]==> ((^x.b) c) 7. ==[ beta ]==> b REDUCED to normal form. ------ 31959/1924176. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z))(a (a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 31960/1924203. ------ 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))((^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. ------ 31961/1924257. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (^z.z))(a b))) 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))) REDUCED to normal form. ------ 31962/1924284. ------ 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)(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. ------ 31963/1924320. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(^z.z))) 5. ==[ beta ]==> ((a (^x.x))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 31964/1924356. ------ 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) a)((^y.b)(a (^z.z)))) 4. ==[ alpha ]==> (((a a) a)((^x.b)(a (^y.y)))) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 31965/1924410. ------ 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. ------ 31966/1924428. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(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. ------ 31967/1924437. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(x x))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y)(^z.z))((^y.y)(^z.z)))) 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. ------ 31968/1924509. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a a)(^y.(a a)))) 3. ==[ beta ]==> ((a b)((a a)(^y.(a a)))) 4. ==[ alpha ]==> ((a b)((a a)(^x.(a a)))) REDUCED to normal form. ------ 31969/1924536. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(a a)) a)) 3. ==[ beta ]==> (((a (a a)) a)((a a) a)) REDUCED to normal form. ------ 31970/1924563. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a b) b)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a b) b)) REDUCED to normal form. ------ 31971/1924590. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((a a) a) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((a a) a) c)) REDUCED to normal form. ------ 31972/1924680. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.a)(^y.a))) 3. ==[ beta ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 31973/1924707. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 31974/1924734. ------ 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 (^x.x)))(^z.(a a))) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.(a a))) REDUCED to normal form. ------ 31975/1924752. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(a a)) a)) 3. ==[ beta ]==> ((b b)((^y.(a a)) a)) 4. ==[ alpha ]==> ((b b)((^x.(a a)) a)) 5. ==[ beta ]==> ((b b)(a a)) REDUCED to normal form. ------ 31976/1924797. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 31977/1924824. ------ 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)(^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. ------ 31978/1924878. ------ 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)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) a)((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.z))) 9. ==[ beta ]==> (a ((^y.y)(^z.z))) 10. ==[ alpha ]==> (a ((^x.x)(^y.y))) 11. ==[ beta ]==> (a (^y.y)) 12. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 31979/1924932. ------ 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. ------ 31980/1924968. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a b)(^z.z))) REDUCED to normal form. ------ 31981/1924995. ------ 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. ------ 31982/1925022. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z)(^x1.x1))(^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. ------ 31983/1925049. ------ 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. ------ 31984/1925085. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 31985/1925112. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 31986/1925139. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)(a b))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.z)(a b))) 4. ==[ alpha ]==> ((a ((^x.x) 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. ------ 31987/1925166. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.b)(^z.z))) 3. ==[ beta ]==> (((a (a a))(a (^x.x))) b) REDUCED to normal form. ------ 31988/1925220. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((a ((a a) a))(^y.y)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 31989/1925310. ------ 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. ------ 31990/1925346. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.b) a)) 3. ==[ beta ]==> (((^y.y) b)((^z.b) a)) 4. ==[ alpha ]==> (((^x.x) b)((^y.b) a)) 5. ==[ beta ]==> (b ((^y.b) a)) 6. ==[ alpha ]==> (b ((^x.b) a)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 31991/1925391. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(a (^y.y)))) 7. ==[ beta ]==> (((a a) a)(a (^y.y))) 8. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 31992/1925418. ------ 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.y1) a))) 3. ==[ beta ]==> ((^y.y)((a (a a))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y) a))) 5. ==[ beta ]==> ((a (a a))((^y.y) a)) 6. ==[ alpha ]==> ((a (a a))((^x.x) a)) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 31993/1925472. ------ 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)((^y.y) a))((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((a (^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a a)((a (^y.y))((^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. ------ 31994/1925535. ------ 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. ------ 31995/1925571. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 31996/1925598. ------ 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 x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(x1 x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(((^x1.x1) a)((^x1.x1) a))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)((^x1.x1) a))) 7. ==[ beta ]==> (((a (^x.x))(^y.y))(a ((^x1.x1) a))) 8. ==[ alpha ]==> (((a (^x.x))(^y.y))(a ((^z.z) a))) 9. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 31997/1925625. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.a)(a (a a)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.a)(a (a a)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.a)(a (a a)))) 5. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 31998/1925652. ------ 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)(^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. ------ 31999/1925679. ------ 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)((a a) a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z)((a a) a))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)((a a) a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)((a a) a))) 7. ==[ beta ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 32000/1925724. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b) a)(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (b (((^y.y)(^z.z)) b)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) b)) 5. ==[ beta ]==> (b ((^y.y) b)) 6. ==[ alpha ]==> (b ((^x.x) b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 32001/1925733. ------ 1. ==[ start ]==> ((a (a b))((^b.(^a.a))(^a.(^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. ------ 32002/1925823. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b ((^z.z)(^x1.x1)))) IRREDUCIBLE: cycle. ------ 32003/1925886. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.(^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. ------ 32004/1925904. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a (a a))(a (^z.z)))) 3. ==[ beta ]==> (b ((a (a a))(a (^z.z)))) 4. ==[ alpha ]==> (b ((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 32005/1925913. ------ 1. ==[ start ]==> (((a b) a)((^a.(a a)) c)) 2. ==[ alpha ]==> (((a b) a)((^x.(x x)) c)) 3. ==[ beta ]==> (((a b) a)(c c)) REDUCED to normal form. ------ 32006/1925931. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 32007/1925958. ------ 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 (^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. ------ 32008/1926021. ------ 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))(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 32009/1926048. ------ 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 REDUCED to normal form. ------ 32010/1926075. ------ 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. ------ 32011/1926093. ------ 1. ==[ start ]==> (((^a.b)(a a))(c d)) 2. ==[ alpha ]==> (((^x.b)(a a))(c d)) 3. ==[ beta ]==> (b (c d)) REDUCED to normal form. ------ 32012/1926102. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 32013/1926138. ------ 1. ==[ start ]==> (((a a)(a b))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.x)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a b))((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a a)(a b))((^x.x)(^y.y))) 5. ==[ beta ]==> (((a a)(a b))(^y.y)) 6. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 32014/1926165. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 32015/1926192. ------ 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 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))((^z.(^x1.x1))(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((a (^x.x))(^z.z)) 10. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 32016/1926219. ------ 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. ------ 32017/1926246. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> (a ((^y.(^z.z))(^x1.(x1 x1)))) 8. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(z z)))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 32018/1926273. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 32019/1926291. ------ 1. ==[ start ]==> (((^a.b) b)((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b) 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. ------ 32020/1926336. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z) a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y) a)(a (^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 32021/1926363. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))((^y1.y1) 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. ------ 32022/1926507. ------ 1. ==[ start ]==> (((a b) b)((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b) b)((a a)(^x.(x x)))) REDUCED to normal form. ------ 32023/1926534. ------ 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. ------ 32024/1926561. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y) a) b)) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a b)) REDUCED to normal form. ------ 32025/1926579. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(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. ------ 32026/1926588. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (^z.z)) c)) REDUCED to normal form. ------ 32027/1926633. ------ 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 ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(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. ------ 32028/1926642. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(z z)) a)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 32029/1926669. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.a) b)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a) b)) 5. ==[ beta ]==> ((^y.(y y))((^z.a) b)) 6. ==[ alpha ]==> ((^x.(x x))((^y.a) b)) 7. ==[ beta ]==> (((^y.a) b)((^y.a) b)) 8. ==[ alpha ]==> (((^x.a) b)((^y.a) b)) 9. ==[ beta ]==> (a ((^y.a) b)) 10. ==[ alpha ]==> (a ((^x.a) b)) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 32030/1926696. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(^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. ------ 32031/1926714. ------ 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))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 32032/1926750. ------ 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)(^x.x))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 32033/1926786. ------ 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)))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 32034/1926813. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a b))((^z.z) a)) 4. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y) a)) 5. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 32035/1926840. ------ 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. ------ 32036/1926867. ------ 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))(^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. ------ 32037/1926894. ------ 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))) 7. ==[ beta ]==> ((a (a a))(^y.a)) 8. ==[ alpha ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 32038/1926939. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b) c)((^y.(^z.z)) b)) 3. ==[ beta ]==> (b ((^y.(^z.z)) b)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) b)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 32039/1926948. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 32040/1926975. ------ 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. ------ 32041/1927002. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 32042/1927038. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(a c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(a c)) 3. ==[ beta ]==> ((^y.y)(a c)) 4. ==[ alpha ]==> ((^x.x)(a c)) 5. ==[ beta ]==> (a c) REDUCED to normal form. ------ 32043/1927173. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(a b)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(a b)) 3. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 32044/1927182. ------ 1. ==[ start ]==> (((a b) c)((a a) a)) REDUCED to normal form. ------ 32045/1927209. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.y) a)) 3. ==[ beta ]==> (((a a) b)((^y.y) a)) 4. ==[ alpha ]==> (((a a) b)((^x.x) a)) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 32046/1927235. ------ 1. ==[ start ]==> (^a.(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (^x.(((x x)(^y.y)) x)) REDUCED to normal form. ------ 32047/1927236. ------ 1. ==[ start ]==> (a (((a a)(^a.a)) a)) 2. ==[ alpha ]==> (a (((a a)(^x.x)) a)) REDUCED to normal form. ------ 32048/1930635. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a) a) 2. ==[ alpha ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 32049/1930641. ------ 1. ==[ start ]==> ((^a.a)(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) a)) 3. ==[ beta ]==> (((a a)(^y.y)) a) 4. ==[ alpha ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 32050/1930668. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y)(a a)) b)) 3. ==[ beta ]==> ((((^y.y)(a a)) b)(((^y.y)(a a)) b)) 4. ==[ alpha ]==> ((((^x.x)(a a)) b)(((^y.y)(a a)) b)) 5. ==[ beta ]==> (((a a) b)(((^y.y)(a a)) b)) 6. ==[ alpha ]==> (((a a) b)(((^x.x)(a a)) b)) 7. ==[ beta ]==> (((a a) b)((a a) b)) REDUCED to normal form. ------ 32051/1930695. ------ 1. ==[ start ]==> ((^a.b)((a b) c)) 2. ==[ alpha ]==> ((^x.b)((a b) c)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 32052/1930869. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 32053/1930878. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.((z z)(^x1.x1)))) REDUCED to normal form. ------ 32054/1931136. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(a a))(a a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 32055/1931235. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (a a))(^b.(^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. ------ 32056/1931328. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(a a)))) 7. ==[ beta ]==> (^y.((^z.z)(a a))) 8. ==[ alpha ]==> (^x.((^y.y)(a a))) 9. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 32057/1931460. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(a a))(^b.(^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. ------ 32058/1931553. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.((^z.z)(y y)))) 3. ==[ beta ]==> ((b b)(^y.((^z.z)(y y)))) 4. ==[ alpha ]==> ((b b)(^x.((^y.y)(x x)))) 5. ==[ beta ]==> ((b b)(^x.(x x))) REDUCED to normal form. ------ 32059/1931586. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.b) 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. ------ 32060/1931742. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^c.(a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(a b))) REDUCED to normal form. ------ 32061/1931760. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a 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. ------ 32062/1932147. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(z b))) 3. ==[ beta ]==> (((^y.y) b)(^z.(z b))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(y b))) 5. ==[ beta ]==> (b (^y.(y b))) 6. ==[ alpha ]==> (b (^x.(x b))) REDUCED to normal form. ------ 32063/1932351. ------ 1. ==[ start ]==> ((^a.(^a.b))((^c.a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a)(a a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 32064/1932531. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y)(^z.z)) 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. ------ 32065/1932795. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^c.((^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. ------ 32066/1932918. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(^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. ------ 32067/1932939. ------ 1. ==[ start ]==> (((a a)(a b))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 32068/1933092. ------ 1. ==[ start ]==> (((^a.b) b)(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 32069/1933125. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(z z)) b)) 3. ==[ beta ]==> ((^y.y)(((^z.(z z)) b)((^z.(z z)) b))) 4. ==[ alpha ]==> ((^x.x)(((^y.(y y)) b)((^z.(z z)) b))) 5. ==[ beta ]==> (((^y.(y y)) b)((^z.(z z)) b)) 6. ==[ alpha ]==> (((^x.(x x)) b)((^y.(y y)) b)) 7. ==[ beta ]==> ((b b)((^y.(y y)) b)) 8. ==[ alpha ]==> ((b b)((^x.(x x)) b)) 9. ==[ beta ]==> ((b b)(b b)) REDUCED to normal form. ------ 32070/1933218. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 32071/1933434. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.(z1 z1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(^z1.(z1 z1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.(y1 y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(y1 y1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(x1 x1)))) 9. ==[ beta ]==> ((^y.y)(^z.(^x1.(x1 x1)))) 10. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 11. ==[ beta ]==> (^y.(^z.(z z))) 12. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 32072/1933443. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(z (z z)))) REDUCED to normal form. ------ 32073/1933524. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 32074/1933614. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^c.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.a))) REDUCED to normal form. ------ 32075/1933776. ------ 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. ------ 32076/1933800. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a (^z.z))(^x1.x1))((a (^z.z))(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> ((((a (^x.x))(^y.y))((a (^z.z))(^x1.x1)))(^y1.y1)) REDUCED to normal form. ------ 32077/1933839. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^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. ------ 32078/1933974. ------ 1. ==[ start ]==> (((^a.b)(^b.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))) REDUCED to normal form. ------ 32079/1933983. ------ 1. ==[ start ]==> (((a b) c)(^a.b)) 2. ==[ alpha ]==> (((a b) c)(^x.b)) REDUCED to normal form. ------ 32080/1934010. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.(y y))) 3. ==[ beta ]==> (((a a) b)(^y.(y y))) 4. ==[ alpha ]==> (((a a) b)(^x.(x x))) REDUCED to normal form. ------ 32081/1934037. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^a.a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 32082/1934049. ------ 1. ==[ start ]==> ((a a)(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((a a)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 32083/1934076. ------ 1. ==[ start ]==> ((a (a a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((a (a a))(((^x.x)(a a)) b)) 3. ==[ beta ]==> ((a (a a))((a a) b)) REDUCED to normal form. ------ 32084/1934085. ------ 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. ------ 32085/1934103. ------ 1. ==[ start ]==> ((a b)((a b) c)) REDUCED to normal form. ------ 32086/1934112. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.b)(^b.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. ------ 32087/1934220. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^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. ------ 32088/1934247. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(^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. ------ 32089/1934256. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(b (a a))) REDUCED to normal form. ------ 32090/1934283. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 32091/1934319. ------ 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. ------ 32092/1934337. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a b)(a (^z.z)))) 3. ==[ beta ]==> ((^y.y)((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. ------ 32093/1934346. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.b) c)) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.b) c)) 3. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 32094/1934418. ------ 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. ------ 32095/1934445. ------ 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. ------ 32096/1934472. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))(a b))) REDUCED to normal form. ------ 32097/1934490. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 32098/1934499. ------ 1. ==[ start ]==> (((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)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a)(a a))) REDUCED to normal form. ------ 32099/1934544. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(a a))(a a))) 3. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 32100/1934562. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a b)(^a.(^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. ------ 32101/1934589. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a) a)(^z.a))) REDUCED to normal form. ------ 32102/1934616. ------ 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 x1)))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(^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)))) 7. ==[ beta ]==> ((a (a a))(^y.(y y))) 8. ==[ alpha ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 32103/1934643. ------ 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. ------ 32104/1934652. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((^y.(y y))((^z.z)(^x1.x1)))((^y.(y y))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 8. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 9. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 10. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 11. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 12. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 13. ==[ beta ]==> ((^y.y)((^z.(z z))((^x1.x1)(^y1.y1)))) 14. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(^x1.x1)))) 15. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.x1))) 16. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.z))) 17. ==[ beta ]==> (((^y.y)(^z.z))((^y.y)(^z.z))) 18. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 19. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 20. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 21. ==[ beta ]==> ((^y.y)(^z.z)) 22. ==[ alpha ]==> ((^x.x)(^y.y)) 23. ==[ beta ]==> (^y.y) 24. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 32105/1934679. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 32106/1934733. ------ 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)(^y.y))((^z.z)((^x1.x1)(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. ------ 32107/1934760. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((a (a a))((^y.(a a))(^z.z))) 4. ==[ alpha ]==> ((a (a a))((^x.(a a))(^y.y))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 32108/1934787. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 32109/1934841. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 32110/1934868. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(a a))(^b.(^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. ------ 32111/1934958. ------ 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 b)(a ((^y.y)(a a)))) 4. ==[ alpha ]==> ((b b)(a ((^x.x)(a a)))) 5. ==[ beta ]==> ((b b)(a (a a))) REDUCED to normal form. ------ 32112/1934967. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(a a)) a)) 3. ==[ beta ]==> (((a (a a))(a a))(a a)) REDUCED to normal form. ------ 32113/1934994. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.b) b)) 3. ==[ beta ]==> ((a (^y.y))((^z.b) b)) 4. ==[ alpha ]==> ((a (^x.x))((^y.b) b)) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 32114/1935093. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a)) b)(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a (a a)) b)(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a (a a)) b)(a (^y.y))) 6. ==[ alpha ]==> (((a (a a)) b)(a (^x.x))) REDUCED to normal form. ------ 32115/1935120. ------ 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. ------ 32116/1935138. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b (^x1.b))) 3. ==[ beta ]==> (((^y.y)(^z.z))(b (^x1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.b))) 5. ==[ beta ]==> ((^y.y)(b (^z.b))) 6. ==[ alpha ]==> ((^x.x)(b (^y.b))) 7. ==[ beta ]==> (b (^y.b)) 8. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 32117/1935147. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(a b))) REDUCED to normal form. ------ 32118/1935165. ------ 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 (^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. ------ 32119/1935291. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((^a.a) a)(^b.(^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. ------ 32120/1935345. ------ 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. ------ 32121/1935372. ------ 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. ------ 32122/1935399. ------ 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. ------ 32123/1935462. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.(z1 z1)))) 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. ------ 32124/1935516. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.a))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 32125/1935552. ------ 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. ------ 32126/1935579. ------ 1. ==[ start ]==> ((((a a) a) a)(((a a) a)(a a))) REDUCED to normal form. ------ 32127/1935633. ------ 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.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a (a a)) a)) REDUCED to normal form. ------ 32128/1935660. ------ 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)(a (a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)(a (a a)))) 5. ==[ beta ]==> ((a (^x.(x x)))(a (a (a a)))) REDUCED to normal form. ------ 32129/1935687. ------ 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 (^y.y))(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.a))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 32130/1935714. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a a)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)((a a) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)((a a) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 32131/1935759. ------ 1. ==[ start ]==> ((a (^a.b))((^c.a)(a a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.a)(a a))) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 32132/1935777. ------ 1. ==[ start ]==> (((a a)((a a) a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)((a a) a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 32133/1935804. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a (a a))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (a a))(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a))(^z.a))) REDUCED to normal form. ------ 32134/1935831. ------ 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.(z z)))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x) 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. ------ 32135/1935858. ------ 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)))) REDUCED to normal form. ------ 32136/1935912. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((a a) a) a)) REDUCED to normal form. ------ 32137/1935939. ------ 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. ------ 32138/1935948. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 32139/1936029. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) IRREDUCIBLE: cycle. ------ 32140/1936092. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x)(^y.y))(a a))) 3. ==[ beta ]==> ((((a a) a) b)((^y.y)(a a))) 4. ==[ alpha ]==> ((((a a) a) b)((^x.x)(a a))) 5. ==[ beta ]==> ((((a a) a) b)(a a)) REDUCED to normal form. ------ 32141/1936119. ------ 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. ------ 32142/1936146. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.b))(a ((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.b))(a ((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.b))(a a)) REDUCED to normal form. ------ 32143/1936200. ------ 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.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. ------ 32144/1936299. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 32145/1936308. ------ 1. ==[ start ]==> (((a b)(^a.a))(c d)) 2. ==[ alpha ]==> (((a b)(^x.x))(c d)) REDUCED to normal form. ------ 32146/1936326. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(^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. ------ 32147/1936344. ------ 1. ==[ start ]==> (((a a)(a b))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 32148/1936371. ------ 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)) a)) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((^z.z) a)) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y) a)) 5. ==[ beta ]==> (((a (^x.x))((a a) a)) a) REDUCED to normal form. ------ 32149/1936398. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a (a a)) b)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (a a)) b)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (a a)) b)) 5. ==[ beta ]==> ((a (^y.y))((a (a a)) b)) 6. ==[ alpha ]==> ((a (^x.x))((a (a a)) b)) REDUCED to normal form. ------ 32150/1936497. ------ 1. ==[ start ]==> (((^a.b) b)(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> (b (a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (b (a ((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 32151/1936506. ------ 1. ==[ start ]==> (((a b)(a a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 32152/1936533. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(y y)) b)) 3. ==[ beta ]==> ((a (a a))((^y.(y y)) b)) 4. ==[ alpha ]==> ((a (a a))((^x.(x x)) b)) 5. ==[ beta ]==> ((a (a a))(b b)) REDUCED to normal form. ------ 32153/1936569. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(c (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(c (^x1.a))) 3. ==[ beta ]==> ((^y.y)(c (^x1.a))) 4. ==[ alpha ]==> ((^x.x)(c (^y.a))) 5. ==[ beta ]==> (c (^y.a)) 6. ==[ alpha ]==> (c (^x.a)) REDUCED to normal form. ------ 32154/1936623. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(a (^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 32155/1936704. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 32156/1936758. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((a a)((^y.(y y))(^z.z))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(^y.y))) 7. ==[ beta ]==> ((a a)((^y.y)(^y.y))) 8. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 32157/1936785. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.a)(^a.(^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. ------ 32158/1936794. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(c (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(c (a (^z.z)))) REDUCED to normal form. ------ 32159/1936839. ------ 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)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.x1)(^y1.(y1 y1)))) 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. ------ 32160/1936848. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (a (a a)))) REDUCED to normal form. ------ 32161/1936875. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1) a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) a)(a a))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z) a)(a a))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)(a a))) 7. ==[ beta ]==> ((((^y.y) a)(a a))(((^y.y) a)(a a))) 8. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y) a)(a a))) 9. ==[ beta ]==> ((a (a a))(((^y.y) a)(a a))) 10. ==[ alpha ]==> ((a (a a))(((^x.x) a)(a a))) 11. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 32162/1936902. ------ 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)))) REDUCED to normal form. ------ 32163/1936920. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(b (^b.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(b (^z.a))) 3. ==[ beta ]==> (b (b (^z.a))) 4. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 32164/1936929. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 32165/1936992. ------ 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)(a a))((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 32166/1937019. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a a)(^y.a))) REDUCED to normal form. ------ 32167/1937046. ------ 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. ------ 32168/1937073. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a (^z.z)) b)) 3. ==[ beta ]==> (((a (a a))(^y.y))((a (^z.z)) b)) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.y)) b)) REDUCED to normal form. ------ 32169/1937127. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.a) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) 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. ------ 32170/1937145. ------ 1. ==[ start ]==> (((^a.b) c)((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b) c)((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. ------ 32171/1937154. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 32172/1937208. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 32173/1937244. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((^y.y)(a (^z.z))) 6. ==[ alpha ]==> ((^x.x)(a (^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 32174/1937379. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 32175/1937388. ------ 1. ==[ start ]==> (((a b) c)(a b)) REDUCED to normal form. ------ 32176/1937415. ------ 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. ------ 32177/1937442. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(a a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(a a)) REDUCED to normal form. ------ 32178/1940850. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a) b) 2. ==[ alpha ]==> ((((a a)(^x.x)) a) b) REDUCED to normal form. ------ 32179/1940874. ------ 1. ==[ start ]==> ((^a.(^a.a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z)) a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 32180/1941102. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 32181/1941117. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (^y.((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (^x.((^y.(^z.z)) a)) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 32182/1941189. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((a a) a)((^z.z) a))) 3. ==[ eta ]==> ((^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. ------ 32183/1941360. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 32184/1941561. ------ 1. ==[ start ]==> (((a (a a)) a)(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a)) a)(^x.(a a))) REDUCED to normal form. ------ 32185/1941777. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(^z.(a a)))) 3. ==[ beta ]==> ((b b)(^y.(^z.(a a)))) 4. ==[ alpha ]==> ((b b)(^x.(^y.(a a)))) REDUCED to normal form. ------ 32186/1941786. ------ 1. ==[ start ]==> (((a (a a))(a a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.((^y.y)(x x)))) 3. ==[ beta ]==> (((a (a a))(a a))(^x.(x x))) REDUCED to normal form. ------ 32187/1941810. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a b)(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. ------ 32188/1941993. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 32189/1942371. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^b.(^a.b))) 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. ------ 32190/1942560. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^a.(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.b))) REDUCED to normal form. ------ 32191/1942575. ------ 1. ==[ start ]==> ((^a.(^a.b))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.b))(((a a) a)(^z.z))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 32192/1943142. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.(((a (^z.z))(^x1.(x1 x1)))((a (^z.z))(^x1.(x1 x1))))) 4. ==[ alpha ]==> (^x.(((a (^y.y))(^z.(z z)))((a (^x1.x1))(^y1.(y1 y1))))) REDUCED to normal form. ------ 32193/1943316. ------ 1. ==[ start ]==> (((^a.b) b)(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 32194/1943325. ------ 1. ==[ start ]==> (((a b)(a a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(a a))(^x.(^z.z))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 32195/1943349. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (a a))(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (a a))(a a))) 3. ==[ beta ]==> ((^y.y)(((a (a a))(a a))((a (a a))(a a)))) 4. ==[ alpha ]==> ((^x.x)(((a (a a))(a a))((a (a a))(a a)))) 5. ==[ beta ]==> (((a (a a))(a a))((a (a a))(a a))) REDUCED to normal form. ------ 32196/1943559. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.(a (a a)))) 3. ==[ beta ]==> (((a a) a)(^y.(a (a a)))) 4. ==[ alpha ]==> (((a a) a)(^x.(a (a a)))) REDUCED to normal form. ------ 32197/1943667. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 32198/1943775. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 32199/1943946. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(^y.((^z.z) y))) 3. ==[ eta ]==> ((((a a) a)((^x.x) a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)((^x.x) a))(^y.y)) 5. ==[ beta ]==> ((((a a) a) a)(^y.y)) 6. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 32200/1944063. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^c.(^a.(^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. ------ 32201/1944198. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 32202/1944207. ------ 1. ==[ start ]==> (((a b) c)(^b.(a a))) 2. ==[ alpha ]==> (((a b) c)(^x.(a a))) REDUCED to normal form. ------ 32203/1944234. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.(^z.z))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 32204/1944261. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^a.(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 32205/1944275. ------ 1. ==[ start ]==> (^a.(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (^x.(^y.((x x)(^z.z)))) REDUCED to normal form. ------ 32206/1944276. ------ 1. ==[ start ]==> (a (^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (a (^x.((a a)(^y.y)))) REDUCED to normal form. ------ 32207/1944291. ------ 1. ==[ start ]==> ((a (^a.a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 32208/1944318. ------ 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. ------ 32209/1944327. ------ 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 a)) REDUCED to normal form. ------ 32210/1944345. ------ 1. ==[ start ]==> (((^a.a)(a a))((a b) c)) 2. ==[ alpha ]==> (((^x.x)(a a))((a b) c)) 3. ==[ beta ]==> ((a a)((a b) c)) REDUCED to normal form. ------ 32211/1944354. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 32212/1944381. ------ 1. ==[ start ]==> (((^a.a) b)((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)((^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. ------ 32213/1944408. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.(^a.a))(^b.(^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. ------ 32214/1944435. ------ 1. ==[ start ]==> (((a a) b)((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((a a) b)((^x.(x x))(^y.a))) 3. ==[ beta ]==> (((a a) b)((^y.a)(^y.a))) 4. ==[ alpha ]==> (((a a) b)((^x.a)(^y.a))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 32215/1944462. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)(^z.b))) 3. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 32216/1944489. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(^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. ------ 32217/1944534. ------ 1. ==[ start ]==> ((a (^b.a))((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 32218/1944552. ------ 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. ------ 32219/1944579. ------ 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. ------ 32220/1944606. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x) 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. ------ 32221/1944615. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.a) d)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a) d)) 3. ==[ beta ]==> ((^y.a)((^z.a) d)) 4. ==[ alpha ]==> ((^x.a)((^y.a) d)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 32222/1944705. ------ 1. ==[ start ]==> (((a a)(^b.a))(c (^a.b))) 2. ==[ alpha ]==> (((a a)(^x.a))(c (^y.b))) REDUCED to normal form. ------ 32223/1944732. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (^x1.(a a)))) REDUCED to normal form. ------ 32224/1944777. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> ((a (^x.(x x)))((a a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a a)(^y.y))) REDUCED to normal form. ------ 32225/1944867. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 32226/1944885. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a (a a))(^y.(^z.z)))((a (a a))(^y.(^z.z)))) 6. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 32227/1944912. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (((^y.y) a)(^z.a)) 6. ==[ alpha ]==> (((^x.x) a)(^y.a)) 7. ==[ beta ]==> (a (^y.a)) 8. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 32228/1944948. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(^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. ------ 32229/1944966. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a a)(^z.(a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a a)(^z.(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. ------ 32230/1944975. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.x)((^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. ------ 32231/1944993. ------ 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)) 5. ==[ beta ]==> ((a (a a))((a a) a)) REDUCED to normal form. ------ 32232/1945002. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 32233/1945020. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a b) b)) 3. ==[ beta ]==> ((^y.y)((a b) b)) 4. ==[ alpha ]==> ((^x.x)((a b) b)) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 32234/1945029. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) b) REDUCED to normal form. ------ 32235/1945083. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 32236/1945173. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(b (a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^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. ------ 32237/1945191. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.y)(^z.(a a)))) 3. ==[ beta ]==> ((b b)((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> ((b b)((^x.x)(^y.(a a)))) 5. ==[ beta ]==> ((b b)(^y.(a a))) 6. ==[ alpha ]==> ((b b)(^x.(a a))) REDUCED to normal form. ------ 32238/1945200. ------ 1. ==[ start ]==> (((a (a a))(a a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(a ((^x.x)(a a)))) 3. ==[ beta ]==> (((a (a a))(a a))(a (a a))) REDUCED to normal form. ------ 32239/1945227. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a b)(a a))) 3. ==[ beta ]==> ((a (^y.y))((a b)(a a))) 4. ==[ alpha ]==> ((a (^x.x))((a b)(a a))) REDUCED to normal form. ------ 32240/1945236. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 32241/1945380. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.b))) REDUCED to normal form. ------ 32242/1945407. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a (^z.(a a)))) REDUCED to normal form. ------ 32243/1945434. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.b)(a a))) 3. ==[ beta ]==> ((a (^y.a))((^z.b)(a a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.b)(a a))) 5. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 32244/1945452. ------ 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. ------ 32245/1945488. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 32246/1945785. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.z)(^x1.b))) 3. ==[ beta ]==> (((^y.y) b)((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((^x.x) b)((^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. ------ 32247/1945857. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1)) c)) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1)) 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. ------ 32248/1945920. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(c (^y.(^z.z)))) REDUCED to normal form. ------ 32249/1945947. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(b (^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(b (^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(b (^x1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))(b (^z.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 32250/1945974. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(a (^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(a (^y.b))) REDUCED to normal form. ------ 32251/1945992. ------ 1. ==[ start ]==> ((a (^a.b))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.b))(((a a) a)(^y.y))) REDUCED to normal form. ------ 32252/1946163. ------ 1. ==[ start ]==> (((^a.b) a)((^c.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b) a)((^y.a)(^z.z))) 3. ==[ beta ]==> (b ((^y.a)(^z.z))) 4. ==[ alpha ]==> (b ((^x.a)(^y.y))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 32253/1946181. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.b)(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 32254/1946343. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 32255/1946370. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 32256/1946433. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 32257/1946487. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(a a))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 32258/1946514. ------ 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. ------ 32259/1946532. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (b (((^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. ------ 32260/1946541. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 32261/1946559. ------ 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. ------ 32262/1946712. ------ 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. ------ 32263/1946730. ------ 1. ==[ start ]==> (((^a.b) b)((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 32264/1946739. ------ 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. ------ 32265/1946766. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a (a a))(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (a a))(a a))) 3. ==[ beta ]==> ((a (a a))((a (a a))(a a))) REDUCED to normal form. ------ 32266/1946775. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(z z)) b)) 3. ==[ beta ]==> ((^y.(a a))((^z.(z z)) b)) 4. ==[ alpha ]==> ((^x.(a a))((^y.(y y)) b)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 32267/1946802. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.a) c)) 3. ==[ beta ]==> ((^y.y)((^x1.a) c)) 4. ==[ alpha ]==> ((^x.x)((^y.a) c)) 5. ==[ beta ]==> ((^y.a) c) 6. ==[ alpha ]==> ((^x.a) c) 7. ==[ beta ]==> a REDUCED to normal form. ------ 32268/1946937. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a (^a.a))(^b.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. ------ 32269/1946946. ------ 1. ==[ start ]==> (((a b) b)((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 32270/1946973. ------ 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)))) 5. ==[ beta ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 32271/1946991. ------ 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. ------ 32272/1947000. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((^z.z)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 32273/1947018. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^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. ------ 32274/1947027. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.a)(^a.(^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. ------ 32275/1947081. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.(x1 x1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 32276/1947135. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(c (^y.(^z.z)))) REDUCED to normal form. ------ 32277/1947153. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(a (^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. ------ 32278/1947162. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b (^z.a))) REDUCED to normal form. ------ 32279/1947189. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(a (^z.(z z)))) 3. ==[ beta ]==> (((a a)(^y.y))(a (^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 32280/1947252. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(b c)) 2. ==[ alpha ]==> (((a (^x.x))(a b))(b c)) REDUCED to normal form. ------ 32281/1947333. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(b (a (^z.z)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(b (a (^z.z)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(b (a (^y.y)))) 5. ==[ beta ]==> ((a (a a))(b (a (^y.y)))) 6. ==[ alpha ]==> ((a (a a))(b (a (^x.x)))) REDUCED to normal form. ------ 32282/1947360. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(a ((^y.y) a))) 3. ==[ beta ]==> ((((a a) a) a)(a ((^y.y) a))) 4. ==[ alpha ]==> ((((a a) a) a)(a ((^x.x) a))) 5. ==[ beta ]==> ((((a a) a) a)(a a)) REDUCED to normal form. ------ 32283/1947378. ------ 1. ==[ start ]==> (((^a.b) c)(c (^a.a))) 2. ==[ alpha ]==> (((^x.b) c)(c (^y.y))) 3. ==[ beta ]==> (b (c (^y.y))) 4. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 32284/1947387. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (^y.y))(a a))) REDUCED to normal form. ------ 32285/1947414. ------ 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. ------ 32286/1947477. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a a)(^a.(^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. ------ 32287/1947612. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a a)(^z.z))) 3. ==[ beta ]==> (b ((a a)(^z.z))) 4. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 32288/1947621. ------ 1. ==[ start ]==> (((a b) c)((^a.a)(a a))) 2. ==[ alpha ]==> (((a b) c)((^x.x)(a a))) 3. ==[ beta ]==> (((a b) c)(a a)) REDUCED to normal form. ------ 32289/1947648. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.y)(^z.z))) 3. ==[ beta ]==> (((a a) b)((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a a) b)((^x.x)(^y.y))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 32290/1947675. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(a (^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(a (^y.y))) REDUCED to normal form. ------ 32291/1947692. ------ 1. ==[ start ]==> (^a.((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (^x.((^y.y)((x x)(^z.z)))) 3. ==[ beta ]==> (^x.((x x)(^z.z))) 4. ==[ alpha ]==> (^x.((x x)(^y.y))) REDUCED to normal form. ------ 32292/1947693. ------ 1. ==[ start ]==> (a ((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (a ((^x.x)((a a)(^y.y)))) 3. ==[ beta ]==> (a ((a a)(^y.y))) 4. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 32293/1947696. ------ 1. ==[ start ]==> ((^a.a)(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.x)(^y.((a a)(^z.z)))) 3. ==[ beta ]==> (^y.((a a)(^z.z))) 4. ==[ alpha ]==> (^x.((a a)(^y.y))) REDUCED to normal form. ------ 32294/1947948. ------ 1. ==[ start ]==> ((^a.(^b.a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> (^y.(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> (^x.(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 32295/1950855. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.(^x1.z))) 3. ==[ beta ]==> (((^z.(^x1.z))(^z.(^x1.z)))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.x))(^z.(^x1.z)))(^y1.y1)) 5. ==[ beta ]==> ((^y.(^z.(^x1.z)))(^y1.y1)) 6. ==[ alpha ]==> ((^x.(^y.(^z.y)))(^x1.x1)) 7. ==[ beta ]==> (^y.(^z.y)) 8. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 32296/1951110. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a))) a) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y))) a) 3. ==[ beta ]==> (((a a)(^y.y)) a) 4. ==[ alpha ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 32297/1951116. ------ 1. ==[ start ]==> ((^a.a)((^a.a)((a a)(^a.a)))) 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. ------ 32298/1951119. ------ 1. ==[ start ]==> ((a a)(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a a)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 32299/1951170. ------ 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. ------ 32300/1951251. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.(^a.a))(^b.(^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. ------ 32301/1951368. ------ 1. ==[ start ]==> ((^a.(^b.a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(a ((a a)(^z.z)))) 3. ==[ beta ]==> (^y.(a ((a a)(^z.z)))) 4. ==[ alpha ]==> (^x.(a ((a a)(^y.y)))) REDUCED to normal form. ------ 32302/1951371. ------ 1. ==[ start ]==> ((a (^b.a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 32303/1951710. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(a (a a)))(((^y.(^z.z))(a (a a)))((^y.(^z.z))(a (a a))))) 4. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.(^x1.x1))(a (a a)))((^y1.(^z1.z1))(a (a a))))) 5. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))(a (a a)))((^y1.(^z1.z1))(a (a a))))) 6. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(a (a a)))((^x1.(^y1.y1))(a (a a))))) 7. ==[ beta ]==> (((^y.(^z.z))(a (a a)))((^x1.(^y1.y1))(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. ------ 32304/1952037. ------ 1. ==[ start ]==> (((a (a a))(a a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 32305/1952442. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(^b.(a b))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.(a y))) 3. ==[ eta ]==> (((a (a a))(a (^x.x))) a) REDUCED to normal form. ------ 32306/1952982. ------ 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. ------ 32307/1953006. ------ 1. ==[ start ]==> ((^a.(a b))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.a)(^z.z))) 3. ==[ beta ]==> (((^y.a)(^z.z)) b) 4. ==[ alpha ]==> (((^x.a)(^y.y)) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 32308/1953393. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(c d)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(c d)) 3. ==[ beta ]==> (^y.((c d)(c d))) 4. ==[ alpha ]==> (^x.((c d)(c d))) REDUCED to normal form. ------ 32309/1953441. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(^z.z))) REDUCED to normal form. ------ 32310/1953576. ------ 1. ==[ start ]==> (((a b)(a a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 32311/1953693. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^c.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(a (a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(a (a a)))) 5. ==[ beta ]==> ((^y.y)(^y1.(a (a a)))) 6. ==[ alpha ]==> ((^x.x)(^y.(a (a a)))) 7. ==[ beta ]==> (^y.(a (a a))) 8. ==[ alpha ]==> (^x.(a (a a))) REDUCED to normal form. ------ 32312/1953918. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^c.d)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.d)) REDUCED to normal form. ------ 32313/1954116. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(^b.((^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))(^x.a)) REDUCED to normal form. ------ 32314/1954197. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^b.(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) 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. ------ 32315/1954275. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(a (^z.a))) 3. ==[ beta ]==> (((a (^z.a))(a (^z.a)))(^y.y)) 4. ==[ alpha ]==> (((a (^x.a))(a (^y.a)))(^z.z)) REDUCED to normal form. ------ 32316/1954278. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.y))) REDUCED to normal form. ------ 32317/1954458. ------ 1. ==[ start ]==> (((a b) c)(^c.(^a.a))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.y))) REDUCED to normal form. ------ 32318/1954485. ------ 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. ------ 32319/1954512. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^b.a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.a)) REDUCED to normal form. ------ 32320/1954530. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^a.a)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.z)) 3. ==[ beta ]==> (((a a)(^y.y))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 32321/1954542. ------ 1. ==[ start ]==> ((a a)((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.x)((a a)(^y.y)))) 3. ==[ beta ]==> ((a a)((a a)(^y.y))) 4. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 32322/1954560. ------ 1. ==[ start ]==> (((^a.a) a)(((a a)(^a.a)) 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. ------ 32323/1954587. ------ 1. ==[ start ]==> (((a a) a)(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a a) a)(((^x.x)(a a)) b)) 3. ==[ beta ]==> (((a a) a)((a a) b)) REDUCED to normal form. ------ 32324/1954596. ------ 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 a)) REDUCED to normal form. ------ 32325/1954614. ------ 1. ==[ start ]==> (((a a)(^a.a))((a b) c)) 2. ==[ alpha ]==> (((a a)(^x.x))((a b) c)) REDUCED to normal form. ------ 32326/1954677. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 32327/1954767. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(b ((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)(b ((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y)(a a)))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 32328/1954794. ------ 1. ==[ start ]==> ((a (^b.a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 32329/1954830. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.(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 a) REDUCED to normal form. ------ 32330/1954875. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> ((^y.a)(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> ((^x.a)(((a a) a)((^y.y) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 32331/1954902. ------ 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)(^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. ------ 32332/1954956. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)((a a) a))) 5. ==[ beta ]==> (a (((^y.y) a)((a a) a))) 6. ==[ alpha ]==> (a (((^x.x) a)((a a) a))) 7. ==[ beta ]==> (a (a ((a a) a))) REDUCED to normal form. ------ 32333/1954983. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 32334/1955055. ------ 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) a)((^y.(a a))(a a))) 4. ==[ alpha ]==> (((a a) a)((^x.(a a))(a a))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 32335/1955082. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 32336/1955127. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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)))) 7. ==[ beta ]==> ((a a)(^y.(y y))) 8. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 32337/1955136. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> ((a (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 32338/1955208. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a (^y.y))(^z.b))) 3. ==[ beta ]==> ((a b)((a (^y.y))(^z.b))) 4. ==[ alpha ]==> ((a b)((a (^x.x))(^y.b))) REDUCED to normal form. ------ 32339/1955235. ------ 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. ------ 32340/1955262. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(a a)) a)) 3. ==[ beta ]==> (((a a)(^x.(x x)))((a a) a)) REDUCED to normal form. ------ 32341/1955289. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a b) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a b) b)) REDUCED to normal form. ------ 32342/1955379. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 32343/1955406. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)(^z.a))) 5. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 32344/1955433. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 32345/1955460. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.x)(^y.(a a)))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.(a a))) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.(a a))) REDUCED to normal form. ------ 32346/1955496. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 32347/1955523. ------ 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 (^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. ------ 32348/1955577. ------ 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. ------ 32349/1955631. ------ 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))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))((a a) a))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))((a a) a))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a) a))) 7. ==[ beta ]==> ((a (^y.y))((a a) a)) 8. ==[ alpha ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 32350/1955658. ------ 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 b))) 4. ==[ alpha ]==> ((^x.x)((a a)(a b))) 5. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 32351/1955694. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a b)(^z.z))) 3. ==[ beta ]==> ((a (^y.a))((a b)(^z.z))) 4. ==[ alpha ]==> ((a (^x.a))((a b)(^y.y))) REDUCED to normal form. ------ 32352/1955721. ------ 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. ------ 32353/1955748. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.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. ------ 32354/1955784. ------ 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)(^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. ------ 32355/1955811. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) a) REDUCED to normal form. ------ 32356/1955838. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))((a a) a))) 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. ------ 32357/1955865. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.y)(a b))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(a b)) REDUCED to normal form. ------ 32358/1955892. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.b)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.b)(^z.z))) 5. ==[ beta ]==> ((a a)((^y.b)(^z.z))) 6. ==[ alpha ]==> ((a a)((^x.b)(^y.y))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 32359/1956009. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(c ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(c ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (a (c ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (a (c ((^x.x)(^y.y)))) 7. ==[ beta ]==> (a (c (^y.y))) 8. ==[ alpha ]==> (a (c (^x.x))) REDUCED to normal form. ------ 32360/1956072. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.b) a)) 2. ==[ alpha ]==> ((((a a) a) a)((^x.b) a)) 3. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 32361/1956090. ------ 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. ------ 32362/1956117. ------ 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 (^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(a (^x2.x2)))) 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. ------ 32363/1956126. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.(^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. ------ 32364/1956171. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) a)(a (a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)(a (a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)(a (a a)))) 7. ==[ beta ]==> ((a a)(((^y.y) a)(a (a a)))) 8. ==[ alpha ]==> ((a a)(((^x.x) a)(a (a a)))) 9. ==[ beta ]==> ((a a)(a (a (a a)))) REDUCED to normal form. ------ 32365/1956297. ------ 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.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 32366/1956324. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> ((a (a (a a)))(((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> ((a (a (a a)))(((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> ((a (a (a a)))(a ((^y.y) a))) 8. ==[ alpha ]==> ((a (a (a a)))(a ((^x.x) a))) 9. ==[ beta ]==> ((a (a (a a)))(a a)) REDUCED to normal form. ------ 32367/1956351. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.a)(a (a a)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.a)(a (a a)))) 5. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 32368/1956378. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 32369/1956405. ------ 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. ------ 32370/1956423. ------ 1. ==[ start ]==> (((^a.b) a)(((a a) a) a)) 2. ==[ alpha ]==> (((^x.b) a)(((a a) a) a)) 3. ==[ beta ]==> (b (((a a) a) a)) REDUCED to normal form. ------ 32371/1956432. ------ 1. ==[ start ]==> ((a (a b))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((a (a b))((^x.a)(^y.y))) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 32372/1956585. ------ 1. ==[ start ]==> ((((a a) a) b)((^c.a) a)) 2. ==[ alpha ]==> ((((a a) a) b)((^x.a) a)) 3. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 32373/1956603. ------ 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 (((^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. ------ 32374/1956612. ------ 1. ==[ start ]==> (((a b) a)((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.y)) b)) 3. ==[ beta ]==> (((a b) a)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 32375/1956630. ------ 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. ------ 32376/1956639. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(a a)) c)) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(y y)) c)) 3. ==[ beta ]==> (((a a)(^x.b))(c c)) REDUCED to normal form. ------ 32377/1956657. ------ 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.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. ------ 32378/1956711. ------ 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)))) 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. ------ 32379/1956747. ------ 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.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z))(^x1.x1))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 32380/1956774. ------ 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. ------ 32381/1956801. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a b)(^x.x))(a (^z.a))) 4. ==[ alpha ]==> (((a b)(^x.x))(a (^y.a))) REDUCED to normal form. ------ 32382/1956819. ------ 1. ==[ start ]==> ((a (^b.(a a)))(c d)) 2. ==[ alpha ]==> ((a (^x.(a a)))(c d)) REDUCED to normal form. ------ 32383/1956837. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(^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. ------ 32384/1956864. ------ 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)(^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. ------ 32385/1956891. ------ 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.y1))(^z1.z1))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.x1))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 32386/1956918. ------ 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. ------ 32387/1956945. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a)(^x1.a))) 5. ==[ beta ]==> (((^y.y) a)((^z.a)(^x1.a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.a)(^z.a))) 7. ==[ beta ]==> (a ((^y.a)(^z.a))) 8. ==[ alpha ]==> (a ((^x.a)(^y.a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 32388/1956972. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.z))(^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. ------ 32389/1956999. ------ 1. ==[ start ]==> (((a b)(a a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 32390/1957035. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (a a))(a a))) 3. ==[ beta ]==> ((^y.(a a))((a (a a))(a a))) 4. ==[ alpha ]==> ((^x.(a a))((a (a a))(a a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 32391/1957062. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^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. ------ 32392/1957116. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a)(a (a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a)(a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(a (a a)))) 5. ==[ beta ]==> ((^y.y)((a a)(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((a a)(a (a a)))) 7. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 32393/1957197. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(c c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c c)) 3. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 32394/1957206. ------ 1. ==[ start ]==> (((a b) b)((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b) b)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 32395/1957233. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((a a)(^y.(y y)))) 3. ==[ beta ]==> (((a a) a)((a a)(^y.(y y)))) 4. ==[ alpha ]==> (((a a) a)((a a)(^x.(x x)))) REDUCED to normal form. ------ 32396/1957260. ------ 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. ------ 32397/1957287. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z) a) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a b)) REDUCED to normal form. ------ 32398/1957332. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(b ((^x1.x1) a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(b ((^x1.x1) a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b ((^y1.y1) a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b ((^y1.y1) a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b ((^x1.x1) a))) 7. ==[ beta ]==> (((^y.y)(^z.z))(b ((^x1.x1) a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(b ((^z.z) a))) 9. ==[ beta ]==> ((^y.y)(b ((^z.z) a))) 10. ==[ alpha ]==> ((^x.x)(b ((^y.y) a))) 11. ==[ beta ]==> (b ((^y.y) a)) 12. ==[ alpha ]==> (b ((^x.x) a)) 13. ==[ beta ]==> (b a) REDUCED to normal form. ------ 32399/1957368. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(z z)) a)) 5. ==[ beta ]==> ((^y.(y y))((^z.(z z)) a)) 6. ==[ alpha ]==> ((^x.(x x))((^y.(y y)) a)) 7. ==[ beta ]==> (((^y.(y y)) a)((^y.(y y)) a)) 8. ==[ alpha ]==> (((^x.(x x)) a)((^y.(y y)) a)) 9. ==[ beta ]==> ((a a)((^y.(y y)) a)) 10. ==[ alpha ]==> ((a a)((^x.(x x)) a)) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 32400/1957395. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.a) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.a) b)) 3. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 32401/1957413. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((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. ------ 32402/1957422. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.(^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. ------ 32403/1957485. ------ 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)(a a))((^y.a)(a a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(a a))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 32404/1957512. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(^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. ------ 32405/1957539. ------ 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) a))) 3. ==[ beta ]==> ((a ((a a) a))((^y.y)((^z.z) a))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.x)((^y.y) a))) 5. ==[ beta ]==> ((a ((a a) a))((^y.y) a)) 6. ==[ alpha ]==> ((a ((a a) a))((^x.x) a)) 7. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 32406/1957566. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.a)(^z.z))) 5. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 32407/1957593. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 32408/1957620. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) 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. ------ 32409/1957638. ------ 1. ==[ start ]==> (((^a.b) c)((^b.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. ------ 32410/1957647. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(c (^a.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(c (^y.y))) REDUCED to normal form. ------ 32411/1957674. ------ 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. ------ 32412/1957701. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (^y.a))) REDUCED to normal form. ------ 32413/1957737. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(b b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(b b)) 3. ==[ beta ]==> ((^y.y)(b b)) 4. ==[ alpha ]==> ((^x.x)(b b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 32414/1957872. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(b a)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(b a)) 3. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 32415/1957881. ------ 1. ==[ start ]==> (((a b) c)((a a)(^a.a))) 2. ==[ alpha ]==> (((a b) c)((a a)(^x.x))) REDUCED to normal form. ------ 32416/1957908. ------ 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. ------ 32417/1957935. ------ 1. ==[ start ]==> ((((a a)(^a.a)) 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. ------ 32418/1957953. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(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)) REDUCED to normal form. ------ 32419/1957974. ------ 1. ==[ start ]==> ((^a.(^a.a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 32420/1958217. ------ 1. ==[ start ]==> ((^a.(^b.a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 32421/1959675. ------ 1. ==[ start ]==> ((^a.(^a.b))(^a.(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 32422/1961124. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^b.c)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.c)) 3. ==[ beta ]==> (((^z.c)(^z.c))(^y.y)) 4. ==[ alpha ]==> (((^x.c)(^y.c))(^z.z)) 5. ==[ beta ]==> (c (^z.z)) 6. ==[ alpha ]==> (c (^x.x)) REDUCED to normal form. ------ 32423/1961379. ------ 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) REDUCED to normal form. ------ 32424/1961403. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 32425/1961406. ------ 1. ==[ start ]==> ((a (^a.a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 32426/1961421. ------ 1. ==[ start ]==> ((^a.(a a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(x x))(((a a)(^y.y)) a)) 3. ==[ beta ]==> ((((a a)(^y.y)) a)(((a a)(^y.y)) a)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((a a)(^y.y)) a)) REDUCED to normal form. ------ 32427/1961448. ------ 1. ==[ start ]==> ((^a.b)(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((^x.b)(((^y.y)(a a)) b)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 32428/1961484. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.b)(^b.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. ------ 32429/1961646. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.a)(^c.(^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. ------ 32430/1961649. ------ 1. ==[ start ]==> ((a (^b.a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 32431/1961718. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.b) c)) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.b) c)) 3. ==[ eta ]==> ((^y.y)((^z.b) c)) 4. ==[ alpha ]==> ((^x.x)((^y.b) c)) 5. ==[ beta ]==> ((^y.b) c) 6. ==[ alpha ]==> ((^x.b) c) 7. ==[ beta ]==> b REDUCED to normal form. ------ 32432/1961988. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.(x1 x1)))((((^y.y)(^z.z))(^x1.(x1 x1)))(((^y.y)(^z.z))(^x1.(x1 x1))))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((((^x1.x1)(^y1.y1))(^z1.(z1 z1)))(((^x2.x2)(^y2.y2))(^z2.(z2 z2))))) 5. ==[ beta ]==> (((^y.y)(^z.(z z)))((((^x1.x1)(^y1.y1))(^z1.(z1 z1)))(((^x2.x2)(^y2.y2))(^z2.(z2 z2))))) 6. ==[ alpha ]==> (((^x.x)(^y.(y y)))((((^z.z)(^x1.x1))(^y1.(y1 y1)))(((^z1.z1)(^x2.x2))(^y2.(y2 y2))))) 7. ==[ beta ]==> ((^y.(y y))((((^z.z)(^x1.x1))(^y1.(y1 y1)))(((^z1.z1)(^x2.x2))(^y2.(y2 y2))))) 8. ==[ alpha ]==> ((^x.(x x))((((^y.y)(^z.z))(^x1.(x1 x1)))(((^y1.y1)(^z1.z1))(^x2.(x2 x2))))) 9. ==[ beta ]==> (((((^y.y)(^z.z))(^x1.(x1 x1)))(((^y1.y1)(^z1.z1))(^x2.(x2 x2))))((((^y.y)(^z.z))(^x1.(x1 x1)))(((^y1.y1)(^z1.z1))(^x2.(x2 x2))))) 10. ==[ alpha ]==> (((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1))))((((^x2.x2)(^y2.y2))(^z2.(z2 z2)))(((^x3.x3)(^y3.y3))(^z3.(z3 z3))))) 11. ==[ beta ]==> ((((^y.y)(^z.(z z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1))))((((^x2.x2)(^y2.y2))(^z2.(z2 z2)))(((^x3.x3)(^y3.y3))(^z3.(z3 z3))))) 12. ==[ alpha ]==> ((((^x.x)(^y.(y y)))(((^z.z)(^x1.x1))(^y1.(y1 y1))))((((^z1.z1)(^x2.x2))(^y2.(y2 y2)))(((^z2.z2)(^x3.x3))(^y3.(y3 y3))))) 13. ==[ beta ]==> (((^y.(y y))(((^z.z)(^x1.x1))(^y1.(y1 y1))))((((^z1.z1)(^x2.x2))(^y2.(y2 y2)))(((^z2.z2)(^x3.x3))(^y3.(y3 y3))))) 14. ==[ alpha ]==> (((^x.(x x))(((^y.y)(^z.z))(^x1.(x1 x1))))((((^y1.y1)(^z1.z1))(^x2.(x2 x2)))(((^y2.y2)(^z2.z2))(^x3.(x3 x3))))) 15. ==[ beta ]==> (((((^y.y)(^z.z))(^x1.(x1 x1)))(((^y.y)(^z.z))(^x1.(x1 x1))))((((^y1.y1)(^z1.z1))(^x2.(x2 x2)))(((^y2.y2)(^z2.z2))(^x3.(x3 x3))))) 16. ==[ alpha ]==> (((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1))))((((^x2.x2)(^y2.y2))(^z2.(z2 z2)))(((^x3.x3)(^y3.y3))(^z3.(z3 z3))))) IRREDUCIBLE: cycle. ------ 32433/1962108. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (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)))) 5. ==[ beta ]==> ((a (a a))(^x.(a a))) REDUCED to normal form. ------ 32434/1962213. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 32435/1962339. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(a a)) a)) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 32436/1962771. ------ 1. ==[ start ]==> ((^a.((a a) a))(((a a) a) b)) 2. ==[ alpha ]==> ((^x.((x x) x))(((a a) a) b)) 3. ==[ beta ]==> (((((a a) a) b)(((a a) a) b))(((a a) a) b)) REDUCED to normal form. ------ 32437/1962927. ------ 1. ==[ start ]==> ((((a a) a) a)(^a.(a b))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.(x b))) REDUCED to normal form. ------ 32438/1963104. ------ 1. ==[ start ]==> ((^a.(^a.b))(a (^a.b))) 2. ==[ alpha ]==> ((^x.(^y.b))(a (^z.b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 32439/1963107. ------ 1. ==[ start ]==> ((a (^a.b))(^a.(^a.b))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(^z.b))) REDUCED to normal form. ------ 32440/1963284. ------ 1. ==[ start ]==> ((^a.(a b))(((a a) a) a)) 2. ==[ alpha ]==> ((^x.(x b))(((a a) a) a)) 3. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 32441/1963440. ------ 1. ==[ start ]==> ((((a a) a) b)(^a.((a a) a))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.((x x) x))) REDUCED to normal form. ------ 32442/1963671. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (^y.(((^z.a)((^x1.x1) a))((^z.a)((^x1.x1) a)))) 4. ==[ alpha ]==> (^x.(((^y.a)((^z.z) a))((^x1.a)((^y1.y1) a)))) 5. ==[ beta ]==> (^x.(a ((^x1.a)((^y1.y1) a)))) 6. ==[ alpha ]==> (^x.(a ((^y.a)((^z.z) a)))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 32443/1963878. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1)) a)((^z.(^x1.x1)) 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)((^z.(^x1.x1)) a)) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 9. ==[ beta ]==> ((^y.(^z.z)) a) 10. ==[ alpha ]==> ((^x.(^y.y)) a) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 32444/1964106. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(a (a a)))) 5. ==[ beta ]==> ((a a)(^y.(a (a a)))) 6. ==[ alpha ]==> ((a a)(^x.(a (a a)))) REDUCED to normal form. ------ 32445/1964223. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.(x1 (x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(z (z z)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(z (z z)))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(y (y y)))) 7. ==[ beta ]==> ((^y.(y (y y)))(^y.(y (y y)))) 8. ==[ alpha ]==> ((^x.(x (x x)))(^y.(y (y y)))) 9. ==[ beta ]==> ((^y.(y (y y)))((^y.(y (y y)))(^y.(y (y y))))) 10. ==[ alpha ]==> ((^x.(x (x x)))((^y.(y (y y)))(^z.(z (z z))))) 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)))))) 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)))))) 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)))))) 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)))))) 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)))))) 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)))))) 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)))))) 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)))))) 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)))))) 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)))))) 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)))))) 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)))))) 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)))))) 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)))))) 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)))))) 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)))))) 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)))))) 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)))))) 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)))))) 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)))))) 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)))))) 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)))))) 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)))))) 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)))))) 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)))))) UNREDUCED: maximal number of reductions reached. ------ 32446/1964493. ------ 1. ==[ start ]==> (((^a.b) c)(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) c)(^y.((^z.z) y))) 3. ==[ eta ]==> (((^x.b) c)(^z.z)) 4. ==[ alpha ]==> (((^x.b) c)(^y.y)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 32447/1964556. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^b.c)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.c)) REDUCED to normal form. ------ 32448/1964727. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^a.(^a.(^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. ------ 32449/1964736. ------ 1. ==[ start ]==> (((a b) c)(^d.a)) 2. ==[ alpha ]==> (((a b) c)(^x.a)) REDUCED to normal form. ------ 32450/1964763. ------ 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. ------ 32451/1964790. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^a.(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(y y))) REDUCED to normal form. ------ 32452/1964808. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^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))) REDUCED to normal form. ------ 32453/1964838. ------ 1. ==[ start ]==> ((a (^a.a))((^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. ------ 32454/1964856. ------ 1. ==[ start ]==> ((a (a a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((a (a a))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 32455/1964883. ------ 1. ==[ start ]==> ((a b)(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((a b)(((^x.x)(a a)) b)) 3. ==[ beta ]==> ((a b)((a a) b)) REDUCED to normal form. ------ 32456/1964892. ------ 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 a)) REDUCED to normal form. ------ 32457/1964919. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 32458/1964973. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.(^a.a))(^b.(^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. ------ 32459/1965027. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.b))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 32460/1965054. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 32461/1965063. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(b (a a))) REDUCED to normal form. ------ 32462/1965081. ------ 1. ==[ start ]==> ((a (^b.a))((^a.a)(^c.(^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. ------ 32463/1965117. ------ 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. ------ 32464/1965126. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(a a)) b)) 3. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 32465/1965153. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.b) c)) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.b) c)) 3. ==[ beta ]==> ((a a)((^y.b) c)) 4. ==[ alpha ]==> ((a a)((^x.b) c)) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 32466/1965198. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.z)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(a (a a)))) 5. ==[ beta ]==> (((a (^x.x)) b)(a (a a))) REDUCED to normal form. ------ 32467/1965225. ------ 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)))) 5. ==[ beta ]==> ((a a)((a (a a))(^y.y))) 6. ==[ alpha ]==> ((a a)((a (a a))(^x.x))) REDUCED to normal form. ------ 32468/1965252. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> (((a a)(^x.a))(a ((a a) a))) REDUCED to normal form. ------ 32469/1965279. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(a b))) REDUCED to normal form. ------ 32470/1965306. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^y.y))((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 32471/1965342. ------ 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) a)(((^y.y)(a a))(^z.z))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(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. ------ 32472/1965369. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 32473/1965396. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((a a) a)(^y.a))) 3. ==[ beta ]==> ((a (a a))(((a a) a)(^y.a))) 4. ==[ alpha ]==> ((a (a a))(((a a) a)(^x.a))) REDUCED to normal form. ------ 32474/1965423. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(^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)))) 5. ==[ beta ]==> ((a (a (a a)))(^y.(y y))) 6. ==[ alpha ]==> ((a (a (a a)))(^x.(x x))) REDUCED to normal form. ------ 32475/1965432. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> (((^y.(^z.z))(a (a a)))((^y.(^z.z))(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. ------ 32476/1965459. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 32477/1965513. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1))(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. ------ 32478/1965540. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^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. ------ 32479/1965567. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 32480/1965648. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.(^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. ------ 32481/1965738. ------ 1. ==[ start ]==> (((^a.(a a)) b)(b (a b))) 2. ==[ alpha ]==> (((^x.(x x)) b)(b (a b))) 3. ==[ beta ]==> ((b b)(b (a b))) REDUCED to normal form. ------ 32482/1965774. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(a a)) a)) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a)) a)) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a)) a)) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 32483/1965873. ------ 1. ==[ start ]==> (((a (a a)) b)((a (a a))(a (a a)))) REDUCED to normal form. ------ 32484/1965900. ------ 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.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (a (((^y.y) a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (a (((^x.x) a)((^y.y)(^z.z)))) 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. ------ 32485/1965927. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 32486/1965945. ------ 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)(b (^z.b))) 4. ==[ alpha ]==> ((^x.x)(b (^y.b))) 5. ==[ beta ]==> (b (^y.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 32487/1965954. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a a)(a b))) REDUCED to normal form. ------ 32488/1965999. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.b)(a a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.b)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.b)(a a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 32489/1966071. ------ 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)(^y.y))((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 32490/1966098. ------ 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.(^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. ------ 32491/1966152. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a a)(^y.b))) REDUCED to normal form. ------ 32492/1966179. ------ 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. ------ 32493/1966206. ------ 1. ==[ start ]==> ((a ((a a) a))(((a a) a) b)) REDUCED to normal form. ------ 32494/1966242. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.(^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. ------ 32495/1966296. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.a)(^b.(^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. ------ 32496/1966332. ------ 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. ------ 32497/1966359. ------ 1. ==[ start ]==> ((((a a) a) a)(a (a b))) REDUCED to normal form. ------ 32498/1966413. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)(a (^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(a (^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.x1))) REDUCED to normal form. ------ 32499/1966440. ------ 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.z) a))) 3. ==[ beta ]==> ((a (^y.(y y)))((a (a a))((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (a a))((^y.y) a))) 5. ==[ beta ]==> ((a (^x.(x x)))((a (a a)) a)) REDUCED to normal form. ------ 32500/1966467. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(a (a (a a)))) REDUCED to normal form. ------ 32501/1966494. ------ 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))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 32502/1966521. ------ 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. ------ 32503/1966539. ------ 1. ==[ start ]==> ((a (^a.b))(a (^a.b))) 2. ==[ alpha ]==> ((a (^x.b))(a (^y.b))) REDUCED to normal form. ------ 32504/1966557. ------ 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. ------ 32505/1966584. ------ 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))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(^y1.y1))) 8. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 32506/1966611. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((a (a a))(^y.a))) 3. ==[ beta ]==> ((a (a (a a)))((a (a a))(^y.a))) 4. ==[ alpha ]==> ((a (a (a a)))((a (a a))(^x.a))) REDUCED to normal form. ------ 32507/1966638. ------ 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.(z z)))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x) 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. ------ 32508/1966665. ------ 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 (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 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)))) REDUCED to normal form. ------ 32509/1966719. ------ 1. ==[ start ]==> ((a (a b))(((a a) a) a)) REDUCED to normal form. ------ 32510/1966728. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((^y.b)((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.b)((^y.a)(^z.z))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 32511/1966809. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a)(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 32512/1966872. ------ 1. ==[ start ]==> ((((a a) a) b)(a ((a a) a))) REDUCED to normal form. ------ 32513/1966899. ------ 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. ------ 32514/1966926. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (a a))(a (^y.y)))) REDUCED to normal form. ------ 32515/1966980. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 32516/1966998. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(b (^b.(^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. ------ 32517/1967007. ------ 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)))) 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. ------ 32518/1967079. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 32519/1967106. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 32520/1967124. ------ 1. ==[ start ]==> (((a a)(a b))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 32521/1967151. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 32522/1967178. ------ 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.y1)) a)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1)(^y1.y1)) a)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(^x1.x1)) a)) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1)) a)) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z)) a)) 7. ==[ beta ]==> ((a (^x.x))((^z.z) a)) 8. ==[ alpha ]==> ((a (^x.x))((^y.y) a)) 9. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 32523/1967205. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a (a a)) b)) REDUCED to normal form. ------ 32524/1967277. ------ 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. ------ 32525/1967313. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z)) a)) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y)) a)) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 32526/1967403. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b (^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.y)(b (^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.x)(b (^y.(y y)))) 7. ==[ beta ]==> (b (^y.(y y))) 8. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 32527/1967484. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.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. ------ 32528/1967493. ------ 1. ==[ start ]==> (((a b) b)(c c)) REDUCED to normal form. ------ 32529/1967538. ------ 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)))) 7. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 32530/1967565. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((^y.(y y))(^z.z)) 6. ==[ alpha ]==> ((^x.(x x))(^y.y)) 7. ==[ beta ]==> ((^y.y)(^y.y)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 32531/1967619. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.(^a.a))(^b.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. ------ 32532/1967628. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b ((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(b a)) REDUCED to normal form. ------ 32533/1967655. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(a (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(a (a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(a (a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a (a (a a)))) 5. ==[ beta ]==> ((^y.(y y))(a (a (a a)))) 6. ==[ alpha ]==> ((^x.(x x))(a (a (a a)))) 7. ==[ beta ]==> ((a (a (a a)))(a (a (a a)))) REDUCED to normal form. ------ 32534/1967682. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y) a)(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(a (a a))) REDUCED to normal form. ------ 32535/1967700. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(c (^a.(^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. ------ 32536/1967709. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 32537/1967736. ------ 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))) 5. ==[ beta ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 32538/1967772. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(^y.y))) 5. ==[ beta ]==> (((a a)(a a))(a (^y.y))) 6. ==[ alpha ]==> (((a a)(a a))(a (^x.x))) REDUCED to normal form. ------ 32539/1967799. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 32540/1967826. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a a)(^y.a))) 3. ==[ beta ]==> ((a ((a a) a))((a a)(^y.a))) 4. ==[ alpha ]==> ((a ((a a) a))((a a)(^x.a))) REDUCED to normal form. ------ 32541/1967853. ------ 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))(^x.x))(a a)) REDUCED to normal form. ------ 32542/1967880. ------ 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. ------ 32543/1967925. ------ 1. ==[ start ]==> (((^a.b) c)(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) c)(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. ------ 32544/1967934. ------ 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 (^x.x))) a) REDUCED to normal form. ------ 32545/1967961. ------ 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. ------ 32546/1968024. ------ 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)((^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. ------ 32547/1968159. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(a (^a.(^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. ------ 32548/1968168. ------ 1. ==[ start ]==> (((a b) c)(b a)) REDUCED to normal form. ------ 32549/1968195. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(a b)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(a b)) 3. ==[ beta ]==> (((a a) b)(a b)) REDUCED to normal form. ------ 32550/1968222. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(a (a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(a (a a))) REDUCED to normal form. ------ 32551/1968240. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(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))) REDUCED to normal form. ------ 32552/1969206. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.((^y1.y1)(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. ------ 32553/1970745. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.((^x1.x1)(^y1.y1)))(^z.((^x1.x1)(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((^y.((^z.z)(^x1.x1)))(^y1.((^z1.z1)(^x2.x2))))) 5. ==[ beta ]==> ((^y.((^z.z)(^x1.x1)))(^y1.((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 32554/1971720. ------ 1. ==[ start ]==> (((^a.a) a)(^b.((a a)(^a.a)))) 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. ------ 32555/1971789. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a b) c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b) c)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 32556/1971972. ------ 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. ------ 32557/1972023. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a b)(a (^z.z)))) 3. ==[ eta ]==> ((^y.y)((a b)(a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)((a b)(a (^y.y)))) 5. ==[ beta ]==> ((a b)(a (^y.y))) 6. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 32558/1972422. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^y.(a a))) REDUCED to normal form. ------ 32559/1972644. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(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. ------ 32560/1972647. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> ((a (^y.y))(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.((^z.z)(y y)))) 5. ==[ beta ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 32561/1972854. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(^x1.(z z)))) 3. ==[ beta ]==> ((a (^y.a))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(y y)))) REDUCED to normal form. ------ 32562/1973232. ------ 1. ==[ start ]==> ((((a a) a) a)(^b.(^a.b))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.x))) REDUCED to normal form. ------ 32563/1973583. ------ 1. ==[ start ]==> (((^a.b) a)(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.b) a)(^y.((a a) a))) 3. ==[ beta ]==> (b (^y.((a a) a))) 4. ==[ alpha ]==> (b (^x.((a a) a))) REDUCED to normal form. ------ 32564/1973745. ------ 1. ==[ start ]==> ((((a a) a) b)(^b.(^c.a))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.a))) REDUCED to normal form. ------ 32565/1973907. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^a.(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(^y1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.(^y1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.z))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.z))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 32566/1973976. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (^y.((((^z.z) a)(^x1.a))(((^z.z) a)(^x1.a)))) 4. ==[ alpha ]==> (^x.((((^y.y) a)(^z.a))(((^x1.x1) a)(^y1.a)))) 5. ==[ beta ]==> (^x.((a (^z.a))(((^x1.x1) a)(^y1.a)))) 6. ==[ alpha ]==> (^x.((a (^y.a))(((^z.z) a)(^x1.a)))) 7. ==[ beta ]==> (^x.((a (^y.a))(a (^x1.a)))) 8. ==[ alpha ]==> (^x.((a (^y.a))(a (^z.a)))) REDUCED to normal form. ------ 32567/1974183. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a ((^z.z)(^x1.x1)))(a ((^z.z)(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)((a ((^y.y)(^z.z)))(a ((^x1.x1)(^y1.y1))))) 5. ==[ beta ]==> ((a ((^y.y)(^z.z)))(a ((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(a ((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (^y.y))(a ((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((a (^x.x))(a ((^y.y)(^z.z)))) 9. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 10. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 32568/1974186. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^x.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 32569/1974420. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(a (a a)))) REDUCED to normal form. ------ 32570/1974528. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(z z)))) 7. ==[ beta ]==> ((^y.(^z.(z z)))(^y.(^z.(z z)))) 8. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(^x1.(x1 x1)))) 9. ==[ beta ]==> (^y.(y y)) 10. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 32571/1974798. ------ 1. ==[ start ]==> (((^a.b) c)(^b.(^b.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. ------ 32572/1974807. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.((^z.z) y))) 3. ==[ eta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 32573/1974858. ------ 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. ------ 32574/1975032. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^b.b)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.z)) 3. ==[ beta ]==> (b (^z.z)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 32575/1975041. ------ 1. ==[ start ]==> (((a b) c)(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 32576/1975068. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.(a a))) 3. ==[ beta ]==> (((a a) b)(^y.(a a))) 4. ==[ alpha ]==> (((a a) b)(^x.(a a))) REDUCED to normal form. ------ 32577/1975095. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^b.(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 32578/1975113. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^b.a)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.a)) 3. ==[ beta ]==> (((a a)(^y.y))(^z.a)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 32579/1975161. ------ 1. ==[ start ]==> (((^a.a) a)((^a.a)((a a)(^a.a)))) 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. ------ 32580/1975179. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z)) a)) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z)) a)) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) a)) 5. ==[ beta ]==> (((a a)(^y.y)) a) 6. ==[ alpha ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 32581/1975206. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(a a)) b)) 3. ==[ beta ]==> ((a a)(((^y.y)(a a)) b)) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a)) b)) 5. ==[ beta ]==> ((a a)((a a) b)) REDUCED to normal form. ------ 32582/1975215. ------ 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 a)) REDUCED to normal form. ------ 32583/1975233. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a b) c)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a b) c)) REDUCED to normal form. ------ 32584/1975242. ------ 1. ==[ start ]==> (((^a.a) b)((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.x) b)((^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. ------ 32585/1975296. ------ 1. ==[ start ]==> (((a a) b)((^b.(^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. ------ 32586/1975350. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.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. ------ 32587/1975377. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(^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. ------ 32588/1975413. ------ 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. ------ 32589/1975440. ------ 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. ------ 32590/1975467. ------ 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. ------ 32591/1975476. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.b) c)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.b) c)) 3. ==[ beta ]==> ((^y.a)((^z.b) c)) 4. ==[ alpha ]==> ((^x.a)((^y.b) c)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 32592/1975620. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(b (^z.(a a)))) 3. ==[ beta ]==> ((a (^y.y))(b (^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(b (^y.(a a)))) REDUCED to normal form. ------ 32593/1975746. ------ 1. ==[ start ]==> (((^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 y1)))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.(x1 x1)))(((^y.y)(^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 7. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) IRREDUCIBLE: cycle. ------ 32594/1975773. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (a a))(^b.(^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. ------ 32595/1975809. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.a)((a a) a))) 3. ==[ beta ]==> ((a b)((^y.a)((a a) a))) 4. ==[ alpha ]==> ((a b)((^x.a)((a a) a))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 32596/1975827. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.b))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.b))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.b))) 7. ==[ beta ]==> ((a (^y.y))(^z.b)) 8. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 32597/1975836. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(^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. ------ 32598/1975854. ------ 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. ------ 32599/1975863. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z)(a a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(a a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 32600/1975881. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 32601/1975890. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 32602/1975917. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.b)(^a.(^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. ------ 32603/1976052. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 32604/1976061. ------ 1. ==[ start ]==> (((a (a a))(a a))(b (a b))) REDUCED to normal form. ------ 32605/1976088. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(a ((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^y.y))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(a ((^y.y)(a a)))) 5. ==[ beta ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 32606/1976097. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 32607/1976124. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 32608/1976241. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(c (^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c (^z.a))) REDUCED to normal form. ------ 32609/1976268. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(b (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(b (^z.b))) REDUCED to normal form. ------ 32610/1976295. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(a (^z.(a a)))) 3. ==[ beta ]==> ((a (^y.a))(a (^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.a))(a (^y.(a a)))) REDUCED to normal form. ------ 32611/1976313. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a b)(^z.z))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a b)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a b)(^z.z))) REDUCED to normal form. ------ 32612/1976322. ------ 1. ==[ start ]==> (((a (a a))(^a.(^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. ------ 32613/1976556. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1)) c)) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1)) 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. ------ 32614/1976646. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^x1.a))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 32615/1976673. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.x)(^y.b))) 3. ==[ beta ]==> ((((a a) a) a)(^y.b)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.b)) REDUCED to normal form. ------ 32616/1976691. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.b) a)) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.b) a)) 3. ==[ beta ]==> (((a a) a)((^y.b) a)) 4. ==[ alpha ]==> (((a a) a)((^x.b) a)) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 32617/1976835. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(b (^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(b (^y.a))) REDUCED to normal form. ------ 32618/1977024. ------ 1. ==[ start ]==> (((^a.b) a)((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 32619/1977042. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((a a) a) a)) 3. ==[ beta ]==> ((^y.b)(((a a) a) a)) 4. ==[ alpha ]==> ((^x.b)(((a a) a) a)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 32620/1977186. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.a)(^c.a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.x)(^y.a))) 3. ==[ beta ]==> ((((a a) a) b)(^y.a)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.a)) REDUCED to normal form. ------ 32621/1977204. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^c.a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.a) a)) 3. ==[ beta ]==> (b ((^z.a) a)) 4. ==[ alpha ]==> (b ((^x.a) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 32622/1977231. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.(^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)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 32623/1977294. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(c (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(c (^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(c (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(c (^z.(z z)))) REDUCED to normal form. ------ 32624/1977321. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 32625/1977348. ------ 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 REDUCED to normal form. ------ 32626/1977375. ------ 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. ------ 32627/1977393. ------ 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 a))(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 32628/1977402. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (((a b)(^x.x))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 32629/1977420. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((a (^x.(a a)))(a (^z.a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.a))) REDUCED to normal form. ------ 32630/1977438. ------ 1. ==[ start ]==> (((a a)(a b))(c d)) REDUCED to normal form. ------ 32631/1977591. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 32632/1977600. ------ 1. ==[ start ]==> (((a b)(a a))(b (a (a a)))) REDUCED to normal form. ------ 32633/1977627. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a a))(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a (a a))(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a (a a))(a (^y.y))) 6. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 32634/1977636. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z)) a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 32635/1977663. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1)) 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. ------ 32636/1977798. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a) a)(^a.(^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. ------ 32637/1977807. ------ 1. ==[ start ]==> (((a b) b)((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.a)(a (^y.y)))) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 32638/1977834. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 32639/1977852. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a a)(^z.(z z)))) 3. ==[ beta ]==> (((^y.y)(a a))((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a a)(^y.(y y)))) 5. ==[ beta ]==> ((a a)((a a)(^y.(y y)))) 6. ==[ alpha ]==> ((a a)((a a)(^x.(x x)))) REDUCED to normal form. ------ 32640/1977861. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a (a a))) REDUCED to normal form. ------ 32641/1977879. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a 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. ------ 32642/1977888. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((^x1.x1)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 32643/1977942. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.(^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. ------ 32644/1977969. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.(z z)))) 7. ==[ beta ]==> (((^y.y)(^z.(z z)))((^y.y)(^z.(z z)))) 8. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 32645/1978014. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.a) b)) 3. ==[ beta ]==> (b ((^z.a) b)) 4. ==[ alpha ]==> (b ((^x.a) b)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 32646/1978023. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c (^z.(^x1.x1)))) REDUCED to normal form. ------ 32647/1978050. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(b (^z.a))) 3. ==[ beta ]==> (((a a)(^y.y))(b (^z.a))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (^y.a))) REDUCED to normal form. ------ 32648/1978113. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(c b)) 2. ==[ alpha ]==> (((a (^x.x))(a b))(c b)) REDUCED to normal form. ------ 32649/1978140. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(b c)) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(b c)) 3. ==[ beta ]==> ((a ((a a) a))(b c)) REDUCED to normal form. ------ 32650/1978221. ------ 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. ------ 32651/1978239. ------ 1. ==[ start ]==> (((^a.b) c)((^a.a)(^b.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. ------ 32652/1978248. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(a ((^y.y) a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(a a)) REDUCED to normal form. ------ 32653/1978275. ------ 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. ------ 32654/1978302. ------ 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. ------ 32655/1978338. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((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. ------ 32656/1978473. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.z) b)) 3. ==[ beta ]==> (b ((^z.z) b)) 4. ==[ alpha ]==> (b ((^x.x) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 32657/1978482. ------ 1. ==[ start ]==> (((a b) c)(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(a (^x.(^y.y)))) REDUCED to normal form. ------ 32658/1978509. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.y)(a a))) 3. ==[ beta ]==> (((a a) b)((^y.y)(a a))) 4. ==[ alpha ]==> (((a a) b)((^x.x)(a a))) 5. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 32659/1978536. ------ 1. ==[ start ]==> ((((a a)(^a.a)) 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. ------ 32660/1978554. ------ 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)(^x.x)) a) REDUCED to normal form. ------ 32661/1978580. ------ 1. ==[ start ]==> (^a.((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))((^x1.x1)(x x)))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 32662/1978581. ------ 1. ==[ start ]==> (a ((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (a ((^x.(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 32663/1978611. ------ 1. ==[ start ]==> ((^a.(a a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(^y.((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.((a a)(^z.z)))(^y.((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.((a a)(^y.y)))(^z.((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 32664/1979529. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.(^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. ------ 32665/1980294. ------ 1. ==[ start ]==> ((^a.(^a.b))(^c.((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.((a a) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 32666/1980474. ------ 1. ==[ start ]==> ((^a.(a b))(^b.((a a) a))) 2. ==[ alpha ]==> ((^x.(x b))(^y.((a a) a))) 3. ==[ beta ]==> ((^y.((a a) a)) b) 4. ==[ alpha ]==> ((^x.((a a) a)) b) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 32667/1981068. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 32668/1982025. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a))) a) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a))) a) 3. ==[ beta ]==> ((^y.y) a) 4. ==[ alpha ]==> ((^x.x) a) 5. ==[ beta ]==> a REDUCED to normal form. ------ 32669/1982031. ------ 1. ==[ start ]==> ((^a.a)((^a.(^a.a))((^a.a)(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. ------ 32670/1982058. ------ 1. ==[ start ]==> ((^a.(a a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.z)((a a)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z)((a a)(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((a a)(^z.z)))) 7. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.z))) 8. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 32671/1982061. ------ 1. ==[ start ]==> ((a (a a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a a))(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 32672/1982085. ------ 1. ==[ start ]==> ((^a.b)((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 32673/1982283. ------ 1. ==[ start ]==> ((^a.(^b.a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (^y.(b ((^z.z)(a a)))) 4. ==[ alpha ]==> (^x.(b ((^y.y)(a a)))) 5. ==[ beta ]==> (^x.(b (a a))) REDUCED to normal form. ------ 32674/1982304. ------ 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. ------ 32675/1982526. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 32676/1982976. ------ 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)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 32677/1982979. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 32678/1982988. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^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. ------ 32679/1983384. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.(a z))) 3. ==[ eta ]==> ((((^x.x)(^y.y))(a a)) a) 4. ==[ beta ]==> (((^y.y)(a a)) a) 5. ==[ alpha ]==> (((^x.x)(a a)) a) 6. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 32680/1983408. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.b)(^z.z))) 3. ==[ beta ]==> ((((^y.b)(^z.z))((^y.b)(^z.z)))((^y.b)(^z.z))) 4. ==[ alpha ]==> ((((^x.b)(^y.y))((^z.b)(^x1.x1)))((^y1.b)(^z1.z1))) 5. ==[ beta ]==> ((b ((^z.b)(^x1.x1)))((^y1.b)(^z1.z1))) 6. ==[ alpha ]==> ((b ((^x.b)(^y.y)))((^z.b)(^x1.x1))) 7. ==[ beta ]==> ((b b)((^z.b)(^x1.x1))) 8. ==[ alpha ]==> ((b b)((^x.b)(^y.y))) 9. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 32681/1983582. ------ 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))) REDUCED to normal form. ------ 32682/1983741. ------ 1. ==[ start ]==> ((^a.(^a.b))((a a)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))((a a)((a a) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 32683/1983744. ------ 1. ==[ start ]==> ((a (^a.b))(^c.((a a) a))) 2. ==[ alpha ]==> ((a (^x.b))(^y.((a a) a))) REDUCED to normal form. ------ 32684/1983762. ------ 1. ==[ start ]==> (((a a)((a a) a))(^a.(^a.b))) 2. ==[ alpha ]==> (((a a)((a a) a))(^x.(^y.b))) REDUCED to normal form. ------ 32685/1983915. ------ 1. ==[ start ]==> (((^a.b) a)(^c.(^c.a))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(^z.a))) 3. ==[ beta ]==> (b (^y.(^z.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 32686/1983921. ------ 1. ==[ start ]==> ((^a.(a b))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.y)((a a) a))) 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. ------ 32687/1983924. ------ 1. ==[ start ]==> ((a (a b))(^b.((a a) a))) 2. ==[ alpha ]==> ((a (a b))(^x.((a a) a))) REDUCED to normal form. ------ 32688/1984095. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.((z z) z))) 3. ==[ beta ]==> (b (^z.((z z) z))) 4. ==[ alpha ]==> (b (^x.((x x) x))) REDUCED to normal form. ------ 32689/1984383. ------ 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.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))(^y.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 32690/1984515. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.(^y1.y1)))((^z.z)(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.x2))))) 5. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 7. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.y1)))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 32691/1984518. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a 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. ------ 32692/1984527. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 32693/1984752. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 32694/1984977. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 32695/1985058. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^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))(^y.a)) REDUCED to normal form. ------ 32696/1985130. ------ 1. ==[ start ]==> (((^a.b) c)(^c.c)) 2. ==[ alpha ]==> (((^x.b) c)(^y.y)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 32697/1985139. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.a))) REDUCED to normal form. ------ 32698/1985190. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(b (^a.(^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. ------ 32699/1985364. ------ 1. ==[ start ]==> (((^a.b)(^b.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))) REDUCED to normal form. ------ 32700/1985373. ------ 1. ==[ start ]==> (((a b) c)(^b.b)) 2. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 32701/1985400. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^c.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.(^z.z))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 32702/1985445. ------ 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. ------ 32703/1985472. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^a.a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(^x1.x1)) 3. ==[ beta ]==> ((^y.y)(^x1.x1)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 32704/1985484. ------ 1. ==[ start ]==> ((a a)((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 32705/1985511. ------ 1. ==[ start ]==> ((a (a a))((^a.a)((a a)(^a.a)))) 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. ------ 32706/1985529. ------ 1. ==[ start ]==> (((a a) a)(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a a) a)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 32707/1985538. ------ 1. ==[ start ]==> ((a b)((^c.(^a.a))(^a.a))) 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. ------ 32708/1985556. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a)) b)) 3. ==[ beta ]==> (((a a)(^x.x))((a a) b)) REDUCED to normal form. ------ 32709/1985583. ------ 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. ------ 32710/1985592. ------ 1. ==[ start ]==> (((a a)(a a))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.b)(^y.a))) 3. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 32711/1985736. ------ 1. ==[ start ]==> ((a (^b.a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(b ((^y.y)(a a)))) 3. ==[ beta ]==> ((a (^x.a))(b (a a))) REDUCED to normal form. ------ 32712/1985772. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^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. ------ 32713/1985817. ------ 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 REDUCED to normal form. ------ 32714/1985844. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y) a))) 5. ==[ beta ]==> (((a a) a)((^y.y) a)) 6. ==[ alpha ]==> (((a a) a)((^x.x) a)) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 32715/1985853. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.a) d)) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a) d)) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 32716/1985898. ------ 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)))) 7. ==[ beta ]==> (a ((a (a a))(^y.y))) 8. ==[ alpha ]==> (a ((a (a a))(^x.x))) REDUCED to normal form. ------ 32717/1985925. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 32718/1985979. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a (^x.(x x)))((a a)(a a))) REDUCED to normal form. ------ 32719/1986024. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(a a))(a a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 32720/1986051. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> ((a (a a))((^y.b)(a (^z.z)))) 4. ==[ alpha ]==> ((a (a a))((^x.b)(a (^y.y)))) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 32721/1986069. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((a a) a)(^y.a))) 3. ==[ beta ]==> ((a a)(((a a) a)(^y.a))) 4. ==[ alpha ]==> ((a a)(((a a) a)(^x.a))) REDUCED to normal form. ------ 32722/1986150. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a) 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. ------ 32723/1986177. ------ 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. ------ 32724/1986204. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(^y.(a a)))) REDUCED to normal form. ------ 32725/1986231. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z)(a a)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((a a) a)) REDUCED to normal form. ------ 32726/1986258. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a b) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a b) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a b) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a b) b)) REDUCED to normal form. ------ 32727/1986321. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 32728/1986348. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 8. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 32729/1986375. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 32730/1986402. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 32731/1986429. ------ 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 (^y.y))((^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. ------ 32732/1986438. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.z)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 32733/1986465. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 32734/1986519. ------ 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)(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2) a))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))((^x2.x2) 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) 13. ==[ beta ]==> a REDUCED to normal form. ------ 32735/1986573. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.z))) 9. ==[ beta ]==> (a ((^y.y)(^z.z))) 10. ==[ alpha ]==> (a ((^x.x)(^y.y))) 11. ==[ beta ]==> (a (^y.y)) 12. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 32736/1986600. ------ 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 (^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. ------ 32737/1986663. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a b)(^z.z))) REDUCED to normal form. ------ 32738/1986690. ------ 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. ------ 32739/1986726. ------ 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) a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 32740/1986753. ------ 1. ==[ start ]==> (((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 a)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 32741/1986780. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a a)((^y.a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.a)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 32742/1986807. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 32743/1986834. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.z)(a b))) 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. ------ 32744/1986861. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.b)(^y.y))) 3. ==[ beta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 32745/1987032. ------ 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. ------ 32746/1987059. ------ 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)(((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. ------ 32747/1987068. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 32748/1987095. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z)) c)) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 32749/1987113. ------ 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.z) a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a (a a))((^z.z) a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (a a))((^z.z) a))) 5. ==[ beta ]==> ((a ((^y.y) a))((a (a a))((^z.z) a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a (a a))((^y.y) a))) 7. ==[ beta ]==> ((a a)((a (a a))((^y.y) a))) 8. ==[ alpha ]==> ((a a)((a (a a))((^x.x) a))) 9. ==[ beta ]==> ((a a)((a (a a)) a)) REDUCED to normal form. ------ 32750/1987194. ------ 1. ==[ start ]==> ((a (^a.b))((a a)((a a) a))) 2. ==[ alpha ]==> ((a (^x.b))((a a)((a a) a))) REDUCED to normal form. ------ 32751/1987212. ------ 1. ==[ start ]==> (((a a)((a a) a))(a (^a.b))) 2. ==[ alpha ]==> (((a a)((a a) a))(a (^x.b))) REDUCED to normal form. ------ 32752/1987266. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a (a (a a)))(^y.y)) 6. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 32753/1987293. ------ 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))((^z.z) a))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> (((a (a a)) a)(((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> (((a (a a)) a)(((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> (((a (a a)) a)(a ((^y.y) a))) 8. ==[ alpha ]==> (((a (a a)) a)(a ((^x.x) a))) 9. ==[ beta ]==> (((a (a a)) a)(a a)) REDUCED to normal form. ------ 32754/1987320. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)(a (a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.a)(a (a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)(a (a a)))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 32755/1987347. ------ 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.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. ------ 32756/1987365. ------ 1. ==[ start ]==> (((^a.b) a)((a a)(^c.a))) 2. ==[ alpha ]==> (((^x.b) a)((a a)(^y.a))) 3. ==[ beta ]==> (b ((a a)(^y.a))) 4. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 32757/1987374. ------ 1. ==[ start ]==> ((a (a b))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((a (a b))((^x.x)((a a) a))) 3. ==[ beta ]==> ((a (a b))((a a) a)) REDUCED to normal form. ------ 32758/1987545. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(a ((a a) a))) 3. ==[ beta ]==> (b (a ((a a) a))) REDUCED to normal form. ------ 32759/1987554. ------ 1. ==[ start ]==> (((a b) a)((^c.a) a)) 2. ==[ alpha ]==> (((a b) a)((^x.a) a)) 3. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 32760/1987572. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 32761/1987581. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 32762/1987599. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a (a a))(a (^z.z)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a (^y.y)))) 5. ==[ beta ]==> ((a (a a))(a (^y.y))) 6. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 32763/1987653. ------ 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)))((a (^y.y))(a (a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 32764/1987716. ------ 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. ------ 32765/1987743. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 32766/1987779. ------ 1. ==[ start ]==> (((a a)(a b))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.a)((^y.y) a))) 3. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 32767/1987806. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 32768/1987833. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 9. ==[ beta ]==> ((a (^x.x))(^z.z)) 10. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 32769/1987860. ------ 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. ------ 32770/1987887. ------ 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 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.(z z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (a ((^y.(y y))(^z.(^x1.x1)))) 8. ==[ alpha ]==> (a ((^x.(x x))(^y.(^z.z)))) 9. ==[ beta ]==> (a ((^y.(^z.z))(^y.(^z.z)))) 10. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.x1)))) 11. ==[ beta ]==> (a (^y.y)) 12. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 32771/1987914. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.a)(^b.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. ------ 32772/1987941. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 32773/1987968. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 32774/1987977. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(a a))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 32775/1988004. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a (a a))(a a))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a a))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 32776/1988058. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))((^z1.z1) a))) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1))((^z1.z1) a))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z) a))) 7. ==[ beta ]==> ((a (^y.y))((^z.z) a)) 8. ==[ alpha ]==> ((a (^x.x))((^y.y) a)) 9. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 32777/1988148. ------ 1. ==[ start ]==> (((a b) b)(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(((^x.x) 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. ------ 32778/1988175. ------ 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))) REDUCED to normal form. ------ 32779/1988202. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 32780/1988229. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (a a)) a)) REDUCED to normal form. ------ 32781/1988283. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a (^a.a)) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.z)) c)) REDUCED to normal form. ------ 32782/1988337. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(y y)) a)) 3. ==[ beta ]==> ((((a a) a)(^x.a))(a a)) REDUCED to normal form. ------ 32783/1988355. ------ 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 (((^z.z) a)(a a))) 4. ==[ alpha ]==> (b (((^x.x) a)(a a))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 32784/1988364. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a) b)) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 32785/1988427. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(a (^y.(y y)))) 3. ==[ beta ]==> (((a a)(a a))(a (^y.(y y)))) 4. ==[ alpha ]==> (((a a)(a a))(a (^x.(x x)))) REDUCED to normal form. ------ 32786/1988454. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.a)(a a))) 3. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 32787/1988481. ------ 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)))) 5. ==[ beta ]==> ((a ((a a) a))(^y.y)) 6. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 32788/1988508. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.z)((^x1.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. ------ 32789/1988535. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a)(^z.z))) 5. ==[ beta ]==> ((a (a a))((^y.a)(^z.z))) 6. ==[ alpha ]==> ((a (a a))((^x.a)(^y.y))) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 32790/1988562. ------ 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)))) 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. ------ 32791/1988580. ------ 1. ==[ start ]==> (((^a.b) c)((a a) c)) 2. ==[ alpha ]==> (((^x.b) c)((a a) c)) 3. ==[ beta ]==> (b ((a a) c)) REDUCED to normal form. ------ 32792/1988589. ------ 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 (^x.x)))(^z.a)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.a)) REDUCED to normal form. ------ 32793/1988643. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 32794/1988679. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(c a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(c a)) 3. ==[ beta ]==> ((^y.y)(c a)) 4. ==[ alpha ]==> ((^x.x)(c a)) 5. ==[ beta ]==> (c a) REDUCED to normal form. ------ 32795/1988814. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 32796/1988823. ------ 1. ==[ start ]==> (((a b) c)((^a.a) b)) 2. ==[ alpha ]==> (((a b) c)((^x.x) b)) 3. ==[ beta ]==> (((a b) c) b) REDUCED to normal form. ------ 32797/1988850. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a a)(^y.y))) 3. ==[ beta ]==> (((a a) b)((a a)(^y.y))) 4. ==[ alpha ]==> (((a a) b)((a a)(^x.x))) REDUCED to normal form. ------ 32798/1988877. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a a) a)) REDUCED to normal form. ------ 32799/1988895. ------ 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. ------ 32800/1988922. ------ 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)(a a)) 4. ==[ alpha ]==> ((^x.x)(a a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 32801/1988930. ------ 1. ==[ start ]==> (^a.((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (^x.((x (^y.y))(^z.(x x)))) REDUCED to normal form. ------ 32802/1988931. ------ 1. ==[ start ]==> (a ((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (a ((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 32803/1990824. ------ 1. ==[ start ]==> ((^a.(a b))(^c.(^c.a))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(^z.a))) 3. ==[ beta ]==> ((^y.(^z.a)) b) 4. ==[ alpha ]==> ((^x.(^y.a)) b) 5. ==[ beta ]==> (^y.a) 6. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 32804/1992375. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a))) b) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a))) b) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 32805/1992384. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a))) a) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 32806/1992390. ------ 1. ==[ start ]==> ((^a.a)((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(a a))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 32807/1992399. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 32808/1992429. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a)(^z.z)))) 5. ==[ beta ]==> (^y.((a a)(^z.z))) 6. ==[ alpha ]==> (^x.((a a)(^y.y))) REDUCED to normal form. ------ 32809/1992444. ------ 1. ==[ start ]==> ((^a.b)(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((^x.b)(((a a)(^y.y)) a)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 32810/1992480. ------ 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. ------ 32811/1992642. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 32812/1992681. ------ 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)(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y)(^z.z)))) 5. ==[ beta ]==> (^y.((y y)(^z.z))) 6. ==[ alpha ]==> (^x.((x x)(^y.y))) REDUCED to normal form. ------ 32813/1992714. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(a a)) b)) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(a a)) b)) 3. ==[ eta ]==> ((^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. ------ 32814/1992885. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(b (^z.(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 32815/1992984. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((a a) a)(^y.a))) 3. ==[ beta ]==> ((((a a) a)(^y.a))((((a a) a)(^y.a))(((a a) a)(^y.a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))((((a a) a)(^y.a))(((a a) a)(^z.a)))) REDUCED to normal form. ------ 32816/1993131. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 32817/1993209. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 32818/1993347. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^b.(^b.(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. ------ 32819/1993545. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^c.(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(a b))) 3. ==[ beta ]==> ((a (^y.a))(^z.(a b))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(a b))) REDUCED to normal form. ------ 32820/1993563. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 32821/1993767. ------ 1. ==[ start ]==> ((^a.((a a) a))((a b) a)) 2. ==[ alpha ]==> ((^x.((x x) x))((a b) a)) 3. ==[ beta ]==> ((((a b) a)((a b) a))((a b) a)) REDUCED to normal form. ------ 32822/1993941. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(^z.y))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.y))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.x))) REDUCED to normal form. ------ 32823/1994100. ------ 1. ==[ start ]==> ((^a.(^a.b))(b (^c.a))) 2. ==[ alpha ]==> ((^x.(^y.b))(b (^z.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 32824/1994280. ------ 1. ==[ start ]==> ((^a.(a b))((a a)(^c.a))) 2. ==[ alpha ]==> ((^x.(x b))((a a)(^y.a))) 3. ==[ beta ]==> (((a a)(^y.a)) b) 4. ==[ alpha ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 32825/1994283. ------ 1. ==[ start ]==> ((a (a b))(^c.(^c.a))) 2. ==[ alpha ]==> ((a (a b))(^x.(^y.a))) REDUCED to normal form. ------ 32826/1994292. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.((a a) a))) 3. ==[ beta ]==> ((^y.b)(^z.((a a) a))) 4. ==[ alpha ]==> ((^x.b)(^y.((a a) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 32827/1994454. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^b.(^c.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. ------ 32828/1994463. ------ 1. ==[ start ]==> (((a b) a)(^a.((a a) a))) 2. ==[ alpha ]==> (((a b) a)(^x.((x x) x))) REDUCED to normal form. ------ 32829/1994598. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.a)(^z.((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)(^y.((^z.z)(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 32830/1994667. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (^y.(((^z.(z z))(a (^x1.x1)))((^z.(z z))(a (^x1.x1))))) 4. ==[ alpha ]==> (^x.(((^y.(y y))(a (^z.z)))((^x1.(x1 x1))(a (^y1.y1))))) 5. ==[ beta ]==> (^x.(((a (^z.z))(a (^z.z)))((^x1.(x1 x1))(a (^y1.y1))))) 6. ==[ alpha ]==> (^x.(((a (^y.y))(a (^z.z)))((^x1.(x1 x1))(a (^y1.y1))))) 7. ==[ beta ]==> (^x.(((a (^y.y))(a (^z.z)))((a (^y1.y1))(a (^y1.y1))))) 8. ==[ alpha ]==> (^x.(((a (^y.y))(a (^z.z)))((a (^x1.x1))(a (^y1.y1))))) REDUCED to normal form. ------ 32831/1994886. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 32832/1995129. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.(a (a a)))) 3. ==[ beta ]==> ((^y.y)(^z.(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (a a)))) 5. ==[ beta ]==> (^y.(a (a a))) 6. ==[ alpha ]==> (^x.(a (a a))) REDUCED to normal form. ------ 32833/1995246. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(y (y y)))) REDUCED to normal form. ------ 32834/1995489. ------ 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)))) REDUCED to normal form. ------ 32835/1995498. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^c.c)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 32836/1995549. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((((^z.(^x1.x1)) b)((^z.(^x1.x1)) b))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.y)) b)((^z.(^x1.x1)) b))(^y1.y1)) 5. ==[ beta ]==> (((^y.y)((^z.(^x1.x1)) b))(^y1.y1)) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) b))(^x1.x1)) 7. ==[ beta ]==> (((^y.(^z.z)) b)(^x1.x1)) 8. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.z)) 9. ==[ beta ]==> ((^y.y)(^z.z)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 32837/1995588. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^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. ------ 32838/1995732. ------ 1. ==[ start ]==> (((a b) c)(^c.(a a))) 2. ==[ alpha ]==> (((a b) c)(^x.(a a))) REDUCED to normal form. ------ 32839/1995786. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^a.b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.b)) REDUCED to normal form. ------ 32840/1995804. ------ 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. ------ 32841/1995831. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 32842/1995840. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^a.a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 32843/1995852. ------ 1. ==[ start ]==> ((a a)((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a a)((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 32844/1995861. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 32845/1995888. ------ 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. ------ 32846/1995906. ------ 1. ==[ start ]==> ((a b)(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((a b)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 32847/1995942. ------ 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 a)) REDUCED to normal form. ------ 32848/1995960. ------ 1. ==[ start ]==> (((a a)(a a))((a b) c)) REDUCED to normal form. ------ 32849/1996023. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.(^a.a))(^b.(^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. ------ 32850/1996077. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.b))) 5. ==[ beta ]==> ((^y.a)(^z.b)) 6. ==[ alpha ]==> ((^x.a)(^y.b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 32851/1996104. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 32852/1996140. ------ 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)(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. ------ 32853/1996176. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.(a a)) b)) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a)) b)) 3. ==[ beta ]==> ((a a)((^y.(a a)) b)) 4. ==[ alpha ]==> ((a a)((^x.(a a)) b)) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 32854/1996221. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((a a) a)((^y.y) a))) 3. ==[ beta ]==> (((a (^x.x)) b)(((a a) a) a)) REDUCED to normal form. ------ 32855/1996248. ------ 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)))) 7. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 32856/1996275. ------ 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)))) 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. ------ 32857/1996302. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) a)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a ((a a) a))) REDUCED to normal form. ------ 32858/1996329. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (^z.z))(a b))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(a b))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a b))) REDUCED to normal form. ------ 32859/1996347. ------ 1. ==[ start ]==> ((a (^a.(a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(b (^y.(a a)))) REDUCED to normal form. ------ 32860/1996392. ------ 1. ==[ start ]==> (((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))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 32861/1996419. ------ 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. ------ 32862/1996446. ------ 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. ------ 32863/1996482. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.(^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. ------ 32864/1996536. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.a)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)((a a) a))) 5. ==[ beta ]==> ((^y.y)((^z.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. ------ 32865/1996563. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(^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. ------ 32866/1996590. ------ 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.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. ------ 32867/1996644. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 32868/1996671. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 32869/1996761. ------ 1. ==[ start ]==> (((^a.(a a)) b)(c ((a a) a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(c ((a a) a))) 3. ==[ beta ]==> ((b b)(c ((a a) a))) REDUCED to normal form. ------ 32870/1996806. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^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 ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 32871/1996896. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a (a a)) b)((^y.y)((^z.z) a))) 4. ==[ alpha ]==> (((a (a a)) b)((^x.x)((^y.y) a))) 5. ==[ beta ]==> (((a (a a)) b)((^y.y) a)) 6. ==[ alpha ]==> (((a (a a)) b)((^x.x) a)) 7. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 32872/1996923. ------ 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. ------ 32873/1996950. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 32874/1996977. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (^z.z))((a a) a))) REDUCED to normal form. ------ 32875/1997004. ------ 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. ------ 32876/1997022. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(a (^z.(a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(a (^z.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.(a a)))) REDUCED to normal form. ------ 32877/1997094. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z)(^x1.x1))(^y1.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)(^x.x))((^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. ------ 32878/1997121. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 32879/1997148. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a) a)(^b.(^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. ------ 32880/1997202. ------ 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. ------ 32881/1997229. ------ 1. ==[ start ]==> ((a ((a a) a))((a b) a)) REDUCED to normal form. ------ 32882/1997265. ------ 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))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 32883/1997319. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(z z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (a ((^z.(z z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (a ((^x.(x x))(^y.(y y)))) 7. ==[ beta ]==> (a ((^y.(y y))(^y.(y y)))) 8. ==[ alpha ]==> (a ((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 32884/1997355. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)(c ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)(c ((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (c ((^y.y)(^z.z)))) 6. ==[ alpha ]==> (b (c ((^x.x)(^y.y)))) 7. ==[ beta ]==> (b (c (^y.y))) 8. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 32885/1997382. ------ 1. ==[ start ]==> ((((a a) a) a)(b ((a a) a))) REDUCED to normal form. ------ 32886/1997400. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y)(^z.b))) 3. ==[ beta ]==> (((a a) a)((^y.y)(^z.b))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(^y.b))) 5. ==[ beta ]==> (((a a) a)(^y.b)) 6. ==[ alpha ]==> (((a a) a)(^x.b)) REDUCED to normal form. ------ 32887/1997436. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a)(a a))) REDUCED to normal form. ------ 32888/1997463. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(x x)))((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(a (^z.z)))) 7. ==[ beta ]==> ((a (^x.(x x)))(a (^z.z))) 8. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 32889/1997490. ------ 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) a))) 3. ==[ beta ]==> (((a (a a))(^x.a))((a (a a)) a)) REDUCED to normal form. ------ 32890/1997517. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(a (a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a (a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 32891/1997544. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 32892/1997562. ------ 1. ==[ start ]==> ((a (^a.b))(b (^c.a))) 2. ==[ alpha ]==> ((a (^x.b))(b (^y.a))) REDUCED to normal form. ------ 32893/1997607. ------ 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 (^x.x))(^z.z))(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a) a)(^z.z))) REDUCED to normal form. ------ 32894/1997634. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a (a a)))((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a (a a)))((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((a (a (a a)))(^y.(^z.z))) 8. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 32895/1997661. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((a (a a))(^y.a))) 3. ==[ beta ]==> (((a (a a)) a)((a (a a))(^y.a))) 4. ==[ alpha ]==> (((a (a a)) a)((a (a a))(^x.a))) REDUCED to normal form. ------ 32896/1997688. ------ 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.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.(z z)))) 7. ==[ beta ]==> ((a (^x.x))(a (^z.(z z)))) 8. ==[ alpha ]==> ((a (^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 32897/1997715. ------ 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. ------ 32898/1997742. ------ 1. ==[ start ]==> ((a (a b))((a a)(^c.a))) 2. ==[ alpha ]==> ((a (a b))((a a)(^x.a))) REDUCED to normal form. ------ 32899/1997751. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)((a a) a))) 3. ==[ beta ]==> ((^y.b)((^z.z)((a a) a))) 4. ==[ alpha ]==> ((^x.b)((^y.y)((a a) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 32900/1997832. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))(^x1.a))) IRREDUCIBLE: cycle. ------ 32901/1997895. ------ 1. ==[ start ]==> ((((a a) a) b)(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(b ((^x.x)(^y.y)))) 3. ==[ beta ]==> ((((a a) a) b)(b (^y.y))) 4. ==[ alpha ]==> ((((a a) a) b)(b (^x.x))) REDUCED to normal form. ------ 32902/1997913. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.z)(^x1.a))) 3. ==[ beta ]==> (b ((^z.z)(^x1.a))) 4. ==[ alpha ]==> (b ((^x.x)(^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 32903/1997922. ------ 1. ==[ start ]==> (((a b) a)(a ((a a) a))) REDUCED to normal form. ------ 32904/1997949. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> (((a a)(^x.b))((^z.z)(a a))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(a a))) 5. ==[ beta ]==> (((a a)(^x.b))(a a)) REDUCED to normal form. ------ 32905/1998003. ------ 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.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. ------ 32906/1998030. ------ 1. ==[ start ]==> (((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 a)))) REDUCED to normal form. ------ 32907/1998057. ------ 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 REDUCED to normal form. ------ 32908/1998102. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 32909/1998129. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.(a a)))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 32910/1998147. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x) 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. ------ 32911/1998174. ------ 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. ------ 32912/1998201. ------ 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 (^y.y))((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 32913/1998228. ------ 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. ------ 32914/1998255. ------ 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. ------ 32915/1998300. ------ 1. ==[ start ]==> (((^a.b) b)(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) b)(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. ------ 32916/1998345. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.a)(^b.(^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. ------ 32917/1998426. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(c (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(c (^x1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(c (^x1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c (^y1.a))) 5. ==[ beta ]==> ((^y.y)(c (^y1.a))) 6. ==[ alpha ]==> ((^x.x)(c (^y.a))) 7. ==[ beta ]==> (c (^y.a)) 8. ==[ alpha ]==> (c (^x.a)) REDUCED to normal form. ------ 32918/1998507. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> (b ((^x1.(x1 x1))(a a))) 4. ==[ alpha ]==> (b ((^x.(x x))(a a))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 32919/1998561. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z) a))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 32920/1998588. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 32921/1998642. ------ 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)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.a)(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.a)(^z1.(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 10. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 11. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 12. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 13. ==[ beta ]==> a REDUCED to normal form. ------ 32922/1998651. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(c (a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(c (a (^z.z)))) REDUCED to normal form. ------ 32923/1998678. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(b ((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(b ((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b ((^z.z) a))) 5. ==[ beta ]==> ((^y.(y y))(b ((^z.z) a))) 6. ==[ alpha ]==> ((^x.(x x))(b ((^y.y) a))) 7. ==[ beta ]==> ((b ((^y.y) a))(b ((^y.y) a))) 8. ==[ alpha ]==> ((b ((^x.x) a))(b ((^y.y) a))) 9. ==[ beta ]==> ((b a)(b ((^y.y) a))) 10. ==[ alpha ]==> ((b a)(b ((^x.x) a))) 11. ==[ beta ]==> ((b a)(b a)) REDUCED to normal form. ------ 32924/1998705. ------ 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. ------ 32925/1998732. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 32926/1998759. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 32927/1998822. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(a b))(a (^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a b))(a (^y.y))) REDUCED to normal form. ------ 32928/1998849. ------ 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. ------ 32929/1998876. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^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))) REDUCED to normal form. ------ 32930/1998903. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((^z.z) a) a)) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z) a) a)) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y) a) a)) 5. ==[ beta ]==> ((a (a a))(((^y.y) a) a)) 6. ==[ alpha ]==> ((a (a a))(((^x.x) a) a)) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 32931/1998930. ------ 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. ------ 32932/1998948. ------ 1. ==[ start ]==> (((^a.b) c)(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(b (a (^y.y)))) 3. ==[ beta ]==> (b (b (a (^y.y)))) 4. ==[ alpha ]==> (b (b (a (^x.x)))) REDUCED to normal form. ------ 32933/1998957. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a a) c)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a a) c)) REDUCED to normal form. ------ 32934/1998984. ------ 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. ------ 32935/1999011. ------ 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)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 32936/1999047. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(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. ------ 32937/1999182. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(b (^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(b (^z.z))) 3. ==[ beta ]==> (b (b (^z.z))) 4. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 32938/1999191. ------ 1. ==[ start ]==> (((a b) c)((a a)(a a))) REDUCED to normal form. ------ 32939/1999218. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(b a)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(b a)) 3. ==[ beta ]==> (((a a) b)(b a)) REDUCED to normal form. ------ 32940/1999245. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(a b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(a b)) REDUCED to normal form. ------ 32941/1999263. ------ 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)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 32942/1999290. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(a (^x1.x1))) 3. ==[ beta ]==> ((^y.y)(a (^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 32943/1999299. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(a a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a a)) REDUCED to normal form. ------ 32944/2002761. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a))) b) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a))) b) REDUCED to normal form. ------ 32945/2002785. ------ 1. ==[ start ]==> ((^a.(^a.a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 32946/2002824. ------ 1. ==[ start ]==> (((a a) a)(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a) a)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 32947/2002866. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 32948/2003067. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 32949/2003076. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 32950/2003100. ------ 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. ------ 32951/2003526. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^z.(a a))) REDUCED to normal form. ------ 32952/2003595. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((a a) a) c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a) a) c)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 32953/2003721. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(b (a b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(b (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. ------ 32954/2003958. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 32955/2004678. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^c.(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.a))) 3. ==[ beta ]==> ((^y.b)(^z.(^x1.a))) 4. ==[ alpha ]==> ((^x.b)(^y.(^z.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 32956/2004849. ------ 1. ==[ start ]==> (((a b) a)(^b.(^c.a))) 2. ==[ alpha ]==> (((a b) a)(^x.(^y.a))) REDUCED to normal form. ------ 32957/2005053. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (a a))(^a.(^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. ------ 32958/2005260. ------ 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. ------ 32959/2005515. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^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. ------ 32960/2005524. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(a (a a)))) REDUCED to normal form. ------ 32961/2005632. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.(z z)))) REDUCED to normal form. ------ 32962/2005911. ------ 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. ------ 32963/2005935. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a (^z.z))(a a))) 3. ==[ beta ]==> ((((a (^z.z))(a a))((a (^z.z))(a a)))(^y.y)) 4. ==[ alpha ]==> ((((a (^x.x))(a a))((a (^y.y))(a a)))(^z.z)) REDUCED to normal form. ------ 32964/2005974. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^b.c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^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. ------ 32965/2006118. ------ 1. ==[ start ]==> (((a b) c)(^d.(^a.a))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.y))) REDUCED to normal form. ------ 32966/2006145. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^a.(^a.(^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. ------ 32967/2006172. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^b.(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(a a))) REDUCED to normal form. ------ 32968/2006217. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^b.a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(^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. ------ 32969/2006226. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.x1))) REDUCED to normal form. ------ 32970/2006256. ------ 1. ==[ start ]==> ((a (^a.a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 32971/2006265. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(^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. ------ 32972/2006292. ------ 1. ==[ start ]==> (((a a) a)((^a.a)((a a)(^a.a)))) 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. ------ 32973/2006310. ------ 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)) REDUCED to normal form. ------ 32974/2006337. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a)) b)) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a a) b)) REDUCED to normal form. ------ 32975/2006346. ------ 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 a)) REDUCED to normal form. ------ 32976/2006373. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 32977/2006400. ------ 1. ==[ start ]==> (((a a) b)((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a) b)((^x.a)(^y.(y y)))) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 32978/2006427. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.(^a.a))(^b.(^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. ------ 32979/2006481. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 32980/2006517. ------ 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. ------ 32981/2006535. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 32982/2006544. ------ 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. ------ 32983/2006571. ------ 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. ------ 32984/2006580. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(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. ------ 32985/2006607. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b) c)) 3. ==[ beta ]==> ((^y.y)((^y1.b) c)) 4. ==[ alpha ]==> ((^x.x)((^y.b) c)) 5. ==[ beta ]==> ((^y.b) c) 6. ==[ alpha ]==> ((^x.b) c) 7. ==[ beta ]==> b REDUCED to normal form. ------ 32986/2006760. ------ 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) a)((a a)((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a) a)((a a)((^x.x)(a a)))) 5. ==[ beta ]==> (((a a) a)((a a)(a a))) REDUCED to normal form. ------ 32987/2006832. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.b)(a (^z.z)))) 3. ==[ beta ]==> ((a a)((^y.b)(a (^z.z)))) 4. ==[ alpha ]==> ((a a)((^x.b)(a (^y.y)))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 32988/2006850. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a) a)(^z.a))) 3. ==[ beta ]==> ((^y.(y y))(((a a) a)(^z.a))) 4. ==[ alpha ]==> ((^x.(x x))(((a a) a)(^y.a))) 5. ==[ beta ]==> ((((a a) a)(^y.a))(((a a) a)(^y.a))) 6. ==[ alpha ]==> ((((a a) a)(^x.a))(((a a) a)(^y.a))) REDUCED to normal form. ------ 32989/2006877. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 32990/2006913. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a b)(((^y.y)(^z.z))((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a b)((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((a b)((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> ((a b)((^y.y)(^z.z))) 10. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 11. ==[ beta ]==> ((a b)(^y.y)) 12. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 32991/2006940. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.a)((a a) a))) 3. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 32992/2006958. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((a (^y.y))(^z.b))) 3. ==[ beta ]==> ((a (a a))((a (^y.y))(^z.b))) 4. ==[ alpha ]==> ((a (a a))((a (^x.x))(^y.b))) REDUCED to normal form. ------ 32993/2006967. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 32994/2006985. ------ 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)(^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. ------ 32995/2006994. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.x1)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(a a))) 5. ==[ beta ]==> (((a (^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 32996/2007021. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(a a))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(^x1.x1))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 32997/2007039. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a b) b)) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a b) b)) 3. ==[ beta ]==> (((a a)(a a))((a b) b)) REDUCED to normal form. ------ 32998/2007048. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.b)(^a.(^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. ------ 32999/2007066. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((a a) a) c)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a) c)) REDUCED to normal form. ------ 33000/2007156. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.a)(^z.a))) 3. ==[ beta ]==> ((b b)((^y.a)(^z.a))) 4. ==[ alpha ]==> ((b b)((^x.a)(^y.a))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 33001/2007192. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(b (a b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(b (a b))) 3. ==[ beta ]==> ((a (^y.y))(b (a b))) 4. ==[ alpha ]==> ((a (^x.x))(b (a b))) REDUCED to normal form. ------ 33002/2007228. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 33003/2007399. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(b (^z.b))) 3. ==[ beta ]==> ((a (^y.a))(b (^z.b))) 4. ==[ alpha ]==> ((a (^x.a))(b (^y.b))) REDUCED to normal form. ------ 33004/2007426. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (^z.(a a)))) REDUCED to normal form. ------ 33005/2007453. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.b)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(a a))) 5. ==[ beta ]==> ((^y.y)((^z.b)(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(a a))) 7. ==[ beta ]==> ((^y.b)(a a)) 8. ==[ alpha ]==> ((^x.b)(a a)) 9. ==[ beta ]==> b REDUCED to normal form. ------ 33006/2007660. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 33007/2007750. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.a)(^b.(^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. ------ 33008/2007822. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.b) a)) 3. ==[ beta ]==> ((^y.y)((^y1.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. ------ 33009/2007876. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1)) c)) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z)) c)) 7. ==[ beta ]==> ((a a)((^y.(^z.z)) c)) 8. ==[ alpha ]==> ((a a)((^x.(^y.y)) c)) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 33010/2007975. ------ 1. ==[ start ]==> (((a a)((a a) a))((a a)((a a) a))) REDUCED to normal form. ------ 33011/2008128. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 33012/2008146. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a a)(^z.a))) 3. ==[ beta ]==> ((^y.b)((a a)(^z.a))) 4. ==[ alpha ]==> ((^x.b)((a a)(^y.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 33013/2008290. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 33014/2008317. ------ 1. ==[ start ]==> (((a b) a)((^a.a)(^c.a))) 2. ==[ alpha ]==> (((a b) a)((^x.x)(^y.a))) 3. ==[ beta ]==> (((a b) a)(^y.a)) 4. ==[ alpha ]==> (((a b) a)(^x.a)) REDUCED to normal form. ------ 33015/2008335. ------ 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)) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 33016/2008362. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.(^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 ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 33017/2008452. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(b (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)(b (^y.(^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 33018/2008497. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (b (((^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. ------ 33019/2008506. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 33020/2008524. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 33021/2008695. ------ 1. ==[ start ]==> (((^a.b) b)((^b.a)(^b.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. ------ 33022/2008704. ------ 1. ==[ start ]==> (((a b)(a a))(c ((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a a))(c ((^x.x) a))) 3. ==[ beta ]==> (((a b)(a a))(c a)) REDUCED to normal form. ------ 33023/2008731. ------ 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. ------ 33024/2008767. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 33025/2008821. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a) c)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a) c)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a) c)) 5. ==[ beta ]==> ((^y.y)((^y1.a) c)) 6. ==[ alpha ]==> ((^x.x)((^y.a) c)) 7. ==[ beta ]==> ((^y.a) c) 8. ==[ alpha ]==> ((^x.a) c) 9. ==[ beta ]==> a REDUCED to normal form. ------ 33026/2008902. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 33027/2008911. ------ 1. ==[ start ]==> (((a b) b)((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a b) b)((^x.(x x))(a a))) 3. ==[ beta ]==> (((a b) b)((a a)(a a))) REDUCED to normal form. ------ 33028/2008938. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a a) a)((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> (((a a) a)((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 33029/2008956. ------ 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. ------ 33030/2008965. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 33031/2008983. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((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. ------ 33032/2008992. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a (a a))) REDUCED to normal form. ------ 33033/2009037. ------ 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)(^z.z))((^y.y)(^z.z)))(((^x1.x1) a) b)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a) b)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1) a) b)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a) b)) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a) b)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a) b)) 9. ==[ beta ]==> ((^y.y)(((^z.z) a) b)) 10. ==[ alpha ]==> ((^x.x)(((^y.y) a) b)) 11. ==[ beta ]==> (((^y.y) a) b) 12. ==[ alpha ]==> (((^x.x) a) b) 13. ==[ beta ]==> (a b) REDUCED to normal form. ------ 33034/2009046. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 33035/2009073. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.(^a.a))(^b.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. ------ 33036/2009100. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.(z z))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(y y))) REDUCED to normal form. ------ 33037/2009118. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^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. ------ 33038/2009190. ------ 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))) 5. ==[ beta ]==> (((a a)(a a))((a a) a)) REDUCED to normal form. ------ 33039/2009271. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(b c)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(b c)) 3. ==[ beta ]==> (((a (a a))(^y.y))(b c)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(b c)) REDUCED to normal form. ------ 33040/2009343. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(^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. ------ 33041/2009352. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(b (a (^y.y)))) REDUCED to normal form. ------ 33042/2009379. ------ 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. ------ 33043/2009406. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.y))(a a))) REDUCED to normal form. ------ 33044/2009442. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^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. ------ 33045/2009577. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.(^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. ------ 33046/2009586. ------ 1. ==[ start ]==> (((a b) c)(b (^a.a))) 2. ==[ alpha ]==> (((a b) c)(b (^x.x))) REDUCED to normal form. ------ 33047/2009613. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(a (^a.(^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. ------ 33048/2009640. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a a)) REDUCED to normal form. ------ 33049/2009658. ------ 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. ------ 33050/2009685. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.x1) a)) 3. ==[ beta ]==> ((^y.y)((^x1.x1) a)) 4. ==[ alpha ]==> ((^x.x)((^y.y) a)) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 33051/2009694. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(a (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a (^z.z))) REDUCED to normal form. ------ 33052/2009711. ------ 1. ==[ start ]==> (^a.((^b.a)(a b))) 2. ==[ alpha ]==> (^x.((^y.x)(x b))) 3. ==[ beta ]==> (^x.x) REDUCED to normal form. ------ 33053/2009712. ------ 1. ==[ start ]==> (a ((^b.a)(a b))) 2. ==[ alpha ]==> (a ((^x.a)(a b))) 3. ==[ beta ]==> (a a) REDUCED to normal form. ------ 33054/2009769. ------ 1. ==[ start ]==> ((^a.b)(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(^y.((a a)(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 33055/2011092. ------ 1. ==[ start ]==> ((^a.((a a) a))(^b.(a b))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.(a y))) 3. ==[ eta ]==> ((^x.((x x) x)) a) 4. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 33056/2013165. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a))) c) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a))) c) REDUCED to normal form. ------ 33057/2013189. ------ 1. ==[ start ]==> ((^a.a)((^b.a)(a b))) 2. ==[ alpha ]==> ((^x.x)((^y.a)(a b))) 3. ==[ beta ]==> ((^y.a)(a b)) 4. ==[ alpha ]==> ((^x.a)(a b)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 33058/2013216. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(^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. ------ 33059/2013243. ------ 1. ==[ start ]==> ((^a.b)((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 33060/2013246. ------ 1. ==[ start ]==> ((a b)(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a b)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 33061/2013324. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((^z.b)(^x1.a))(^y.y)) 4. ==[ alpha ]==> (((^x.b)(^y.a))(^z.z)) 5. ==[ beta ]==> (b (^z.z)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 33062/2013441. ------ 1. ==[ start ]==> ((^a.(^b.a))(c (a b))) 2. ==[ alpha ]==> ((^x.(^y.x))(c (a b))) 3. ==[ beta ]==> (^y.(c (a b))) 4. ==[ alpha ]==> (^x.(c (a b))) REDUCED to normal form. ------ 33063/2013489. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 33064/2013684. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (^z.z))(a b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 33065/2013783. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (((^y.b)(a (^z.z)))(((^y.b)(a (^z.z)))((^y.b)(a (^z.z))))) 4. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^z.b)(a (^x1.x1)))((^y1.b)(a (^z1.z1))))) 5. ==[ beta ]==> (b (((^z.b)(a (^x1.x1)))((^y1.b)(a (^z1.z1))))) 6. ==[ alpha ]==> (b (((^x.b)(a (^y.y)))((^z.b)(a (^x1.x1))))) 7. ==[ beta ]==> (b (b ((^z.b)(a (^x1.x1))))) 8. ==[ alpha ]==> (b (b ((^x.b)(a (^y.y))))) 9. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 33066/2013939. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 33067/2014134. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(^y1.y1))(^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. ------ 33068/2014173. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 33069/2014566. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.a)(a b))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.y)(a b))) 3. ==[ beta ]==> ((((^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))) 5. ==[ beta ]==> (((a b)((^y.y)(a b)))((^z.z)(a b))) 6. ==[ alpha ]==> (((a b)((^x.x)(a b)))((^y.y)(a b))) 7. ==[ beta ]==> (((a b)(a b))((^y.y)(a b))) 8. ==[ alpha ]==> (((a b)(a b))((^x.x)(a b))) 9. ==[ beta ]==> (((a b)(a b))(a b)) REDUCED to normal form. ------ 33070/2014569. ------ 1. ==[ start ]==> ((a ((a a) a))(^b.(a b))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.(a x))) 3. ==[ eta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 33071/2014767. ------ 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)(^y1.(y1 b))) 4. ==[ alpha ]==> ((^x.x)(^y.(y b))) 5. ==[ beta ]==> (^y.(y b)) 6. ==[ alpha ]==> (^x.(x b)) REDUCED to normal form. ------ 33072/2014899. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 33073/2014947. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.(^y1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.b))) REDUCED to normal form. ------ 33074/2015079. ------ 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 ]==> (((^y.(^z.z))((^x1.x1)(^y1.y1))) b) 4. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1))) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 33075/2015280. ------ 1. ==[ start ]==> (((^a.a)(a b))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 33076/2015568. ------ 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. ------ 33077/2015673. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))(^y1.(y1 y1)))((^z.(^x1.x1))(^y1.(y1 y1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(^x1.(x1 x1)))((^y1.(^z1.z1))(^x2.(x2 x2))))) 5. ==[ beta ]==> (((^y.(^z.z))(^x1.(x1 x1)))((^y1.(^z1.z1))(^x2.(x2 x2)))) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 7. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(z1 z1)))) 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. ------ 33078/2015712. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 33079/2015937. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 33080/2016045. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^c.d)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.d)) REDUCED to normal form. ------ 33081/2016063. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(z (z z)))) 3. ==[ beta ]==> (b (^z.(z (z z)))) 4. ==[ alpha ]==> (b (^x.(x (x x)))) REDUCED to normal form. ------ 33082/2016162. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.(z z)))) REDUCED to normal form. ------ 33083/2016243. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(^b.((^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))) 7. ==[ beta ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 33084/2016324. ------ 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. ------ 33085/2016387. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^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. ------ 33086/2016522. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (b (^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(x (^y.y)))) REDUCED to normal form. ------ 33087/2016558. ------ 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. ------ 33088/2016603. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^a.b)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.b)) 3. ==[ beta ]==> (((a a)(^y.y))(^z.b)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.b)) REDUCED to normal form. ------ 33089/2016630. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(^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. ------ 33090/2016639. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^b.a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.a)) REDUCED to normal form. ------ 33091/2016669. ------ 1. ==[ start ]==> ((a a)((^b.a)(a b))) 2. ==[ alpha ]==> ((a a)((^x.a)(a b))) 3. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 33092/2016687. ------ 1. ==[ start ]==> (((^a.a) a)((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x) a)((a (^y.y))(^z.(a a)))) 3. ==[ beta ]==> (a ((a (^y.y))(^z.(a a)))) 4. ==[ alpha ]==> (a ((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 33093/2016696. ------ 1. ==[ start ]==> ((a (a a))((^a.(^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. ------ 33094/2016723. ------ 1. ==[ start ]==> ((a b)((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.x)((a a)(^y.y)))) 3. ==[ beta ]==> ((a b)((a a)(^y.y))) 4. ==[ alpha ]==> ((a b)((a a)(^x.x))) REDUCED to normal form. ------ 33095/2016741. ------ 1. ==[ start ]==> (((a a)(^a.a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 33096/2016768. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y)(a a)) b)) 3. ==[ beta ]==> (b (((^y.y)(a a)) b)) 4. ==[ alpha ]==> (b (((^x.x)(a a)) b)) 5. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 33097/2016777. ------ 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 a)) REDUCED to normal form. ------ 33098/2016795. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a b) c)) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a b) c)) 3. ==[ beta ]==> ((^y.y)((a b) c)) 4. ==[ alpha ]==> ((^x.x)((a b) c)) 5. ==[ beta ]==> ((a b) c) REDUCED to normal form. ------ 33099/2016804. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.b)(^z.a))) 3. ==[ beta ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 33100/2016921. ------ 1. ==[ start ]==> ((a (^b.a))(c (a b))) 2. ==[ alpha ]==> ((a (^x.a))(c (a b))) REDUCED to normal form. ------ 33101/2016939. ------ 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. ------ 33102/2017002. ------ 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. ------ 33103/2017029. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a b)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(a (^y.y)))) 5. ==[ beta ]==> ((a b)(a (^y.y))) 6. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 33104/2017038. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.b) c)) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.b) c)) 3. ==[ beta ]==> (((a (^x.x)) b) b) REDUCED to normal form. ------ 33105/2017083. ------ 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))(a (a a)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))(a (a a)))) 5. ==[ beta ]==> (a (((^y.y)(^z.z))(a (a a)))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))(a (a a)))) 7. ==[ beta ]==> (a ((^y.y)(a (a a)))) 8. ==[ alpha ]==> (a ((^x.x)(a (a a)))) 9. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 33106/2017110. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a (a a))((^x1.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. ------ 33107/2017164. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))(a b))) REDUCED to normal form. ------ 33108/2017182. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(b (^y.(a a)))) 3. ==[ beta ]==> (((a a) a)(b (^y.(a a)))) 4. ==[ alpha ]==> (((a a) a)(b (^x.(a a)))) REDUCED to normal form. ------ 33109/2017236. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(a a))(a a))) 3. ==[ beta ]==> ((a (a a))((^y.(a a))(a a))) 4. ==[ alpha ]==> ((a (a a))((^x.(a a))(a a))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 33110/2017254. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(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. ------ 33111/2017263. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.b)(a (^y.y)))) 3. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 33112/2017335. ------ 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. ------ 33113/2017389. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 33114/2017416. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a a)(^z.(a a)))) REDUCED to normal form. ------ 33115/2017443. ------ 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. ------ 33116/2017470. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a b) b)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a b) b)) REDUCED to normal form. ------ 33117/2017533. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 33118/2017560. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a (^x.x)))((^z.(^x1.x1))(^z.(^x1.x1)))) 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. ------ 33119/2017587. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.a)(^y.a))) 3. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 33120/2017614. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 33121/2017623. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(b (a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(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. ------ 33122/2017650. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 33123/2017704. ------ 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 (^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. ------ 33124/2017713. ------ 1. ==[ start ]==> (((a (a a)) b)((^c.a) c)) 2. ==[ alpha ]==> (((a (a a)) b)((^x.a) c)) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 33125/2017758. ------ 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. ------ 33126/2017785. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)((^x1.x1)(^y1.y1)))) 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. ------ 33127/2017839. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a a)(a b))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a a)(a b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(a b))) REDUCED to normal form. ------ 33128/2017875. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a b)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a b)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(^z.z))) 5. ==[ beta ]==> ((^y.y)((a b)(^z.z))) 6. ==[ alpha ]==> ((^x.x)((a b)(^y.y))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 33129/2017938. ------ 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))((^x1.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. ------ 33130/2017965. ------ 1. ==[ start ]==> ((((^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 a)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x) 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. ------ 33131/2017992. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x))) a) REDUCED to normal form. ------ 33132/2018019. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))((a a) a))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))((a a) a))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 33133/2018046. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.a)(a b))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.x)(a b))) 3. ==[ beta ]==> ((a ((a a) a))(a b)) REDUCED to normal form. ------ 33134/2018217. ------ 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. ------ 33135/2018244. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(a (a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 33136/2018253. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.b) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 33137/2018298. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(a (^x1.x1)))) 8. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(a (^z.z)))) 9. ==[ beta ]==> ((a a)((^y.y)(a (^z.z)))) 10. ==[ alpha ]==> ((a a)((^x.x)(a (^y.y)))) 11. ==[ beta ]==> ((a a)(a (^y.y))) 12. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 33138/2018307. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.(^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. ------ 33139/2018379. ------ 1. ==[ start ]==> ((a (^a.b))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b))((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.b))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 33140/2018397. ------ 1. ==[ start ]==> (((a a)((a a) a))(b (^c.a))) 2. ==[ alpha ]==> (((a a)((a a) a))(b (^x.a))) REDUCED to normal form. ------ 33141/2018424. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(a (^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(a (^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.b))) REDUCED to normal form. ------ 33142/2018478. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a (a a)) a)(^y.y)) 6. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 33143/2018505. ------ 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 x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(x1 x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^y.y))((^z.(z z))((^x1.x1) a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y))((^z.z) a))) 7. ==[ beta ]==> ((a (^x.x))(((^z.z) a)((^z.z) a))) 8. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((^z.z) a))) 9. ==[ beta ]==> ((a (^x.x))(a ((^z.z) a))) 10. ==[ alpha ]==> ((a (^x.x))(a ((^y.y) a))) 11. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 33144/2018532. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.a)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 33145/2018550. ------ 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 ((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 33146/2018559. ------ 1. ==[ start ]==> ((a (a b))((^a.(^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. ------ 33147/2018730. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (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. ------ 33148/2018757. ------ 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. ------ 33149/2018766. ------ 1. ==[ start ]==> (((a a)(^a.b))((^c.a) a)) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.a) a)) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 33150/2018784. ------ 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.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. ------ 33151/2018820. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(x1 x1)) c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1)) c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z)) c)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(c c)) REDUCED to normal form. ------ 33152/2018838. ------ 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.z) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y) a)((^z.z) 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. ------ 33153/2018928. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a b)(^x.x))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 33154/2018964. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(x x))(a (^y.y)))) 3. ==[ beta ]==> (((a a)(a b))((a (^y.y))(a (^y.y)))) 4. ==[ alpha ]==> (((a a)(a b))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 33155/2018991. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) a) REDUCED to normal form. ------ 33156/2019018. ------ 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.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. ------ 33157/2019045. ------ 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. ------ 33158/2019072. ------ 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.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.x1))) 7. ==[ beta ]==> (a ((^y.(^z.z))(^x1.x1))) 8. ==[ alpha ]==> (a ((^x.(^y.y))(^z.z))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 33159/2019099. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(y y))(^z.(^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. ------ 33160/2019117. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y) a) c)) 3. ==[ beta ]==> (b (((^y.y) a) c)) 4. ==[ alpha ]==> (b (((^x.x) a) c)) 5. ==[ beta ]==> (b (a c)) REDUCED to normal form. ------ 33161/2019126. ------ 1. ==[ start ]==> (((a b)(a a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.a)(^y.a))) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 33162/2019153. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 33163/2019162. ------ 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. ------ 33164/2019189. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(a ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (a ((^y.y)(^z.z))) 6. ==[ alpha ]==> (a ((^x.x)(^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 33165/2019243. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) a)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(a (^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(a (^z1.z1)))) 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. ------ 33166/2019333. ------ 1. ==[ start ]==> (((a b) b)((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a b) b)((a (a a))(^x.x))) REDUCED to normal form. ------ 33167/2019360. ------ 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. ------ 33168/2019387. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 33169/2019414. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a a)(^z.(z z)))) REDUCED to normal form. ------ 33170/2019468. ------ 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. ------ 33171/2019540. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(a (a (a a)))) 3. ==[ beta ]==> (b (a (a (a a)))) REDUCED to normal form. ------ 33172/2019549. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(z z)) a)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 33173/2019576. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.a) b)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a) b)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a) b)) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 33174/2019612. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(b (^b.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. ------ 33175/2019639. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(a (^y.(y y)))) REDUCED to normal form. ------ 33176/2019666. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.a)(a a))) 3. ==[ beta ]==> ((a ((a a) a))((^y.a)(a a))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.a)(a a))) 5. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 33177/2019693. ------ 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 (^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. ------ 33178/2019720. ------ 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))((^y.y) a)) 8. ==[ alpha ]==> ((a (a a))((^x.x) a)) 9. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 33179/2019747. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.a)(^z.z))) 3. ==[ beta ]==> ((((a a) a) a)((^y.a)(^z.z))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.a)(^y.y))) 5. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 33180/2019765. ------ 1. ==[ start ]==> (((^a.b) c)((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.b) c)((a (^y.y)) b)) 3. ==[ beta ]==> (b ((a (^y.y)) b)) 4. ==[ alpha ]==> (b ((a (^x.x)) b)) REDUCED to normal form. ------ 33181/2019774. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(^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. ------ 33182/2019801. ------ 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. ------ 33183/2019864. ------ 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. ------ 33184/2019999. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(a (a (^z.z)))) 3. ==[ beta ]==> (b (a (a (^z.z)))) 4. ==[ alpha ]==> (b (a (a (^x.x)))) REDUCED to normal form. ------ 33185/2020008. ------ 1. ==[ start ]==> (((a b) c)((^a.(^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. ------ 33186/2020035. ------ 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. ------ 33187/2020062. ------ 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. ------ 33188/2020080. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(a b)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(a b)) 3. ==[ beta ]==> (((a a)(^y.y))(a b)) 4. ==[ alpha ]==> (((a a)(^x.x))(a b)) REDUCED to normal form. ------ 33189/2020107. ------ 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))) 4. ==[ alpha ]==> ((^x.x)(a (a a))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 33190/2020116. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 33191/2020142. ------ 1. ==[ start ]==> (^a.(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (^x.(((^y.y) x)(^z.b))) 3. ==[ beta ]==> (^x.(x (^z.b))) 4. ==[ alpha ]==> (^x.(x (^y.b))) REDUCED to normal form. ------ 33192/2020143. ------ 1. ==[ start ]==> (a (((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (a (((^x.x) a)(^y.b))) 3. ==[ beta ]==> (a (a (^y.b))) 4. ==[ alpha ]==> (a (a (^x.b))) REDUCED to normal form. ------ 33193/2020200. ------ 1. ==[ start ]==> ((^a.b)(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 33194/2023623. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b)) a) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b)) a) 3. ==[ beta ]==> ((a (^y.b)) a) 4. ==[ alpha ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 33195/2023629. ------ 1. ==[ start ]==> ((^a.a)(((^a.a) 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. ------ 33196/2023638. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.a)(a b))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 33197/2023656. ------ 1. ==[ start ]==> ((^a.(a a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a (^y.y))(^z.(a a)))((a (^y.y))(^z.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (^z.z))(^x1.(a a)))) REDUCED to normal form. ------ 33198/2023683. ------ 1. ==[ start ]==> ((^a.b)((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((a a)(^y.(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 33199/2023686. ------ 1. ==[ start ]==> ((a b)(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 33200/2023695. ------ 1. ==[ start ]==> (((^a.a)(a a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.((a a)(^z.z)))) 3. ==[ beta ]==> ((a a)(^y.((a a)(^z.z)))) 4. ==[ alpha ]==> ((a a)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 33201/2023764. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a b) c)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a b) c)) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 33202/2023881. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a)(^x1.b))) 3. ==[ beta ]==> (^y.((^z.a)(^x1.b))) 4. ==[ alpha ]==> (^x.((^y.a)(^z.b))) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 33203/2024223. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a b)(^a.(^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. ------ 33204/2024448. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 33205/2024613. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 33206/2025006. ------ 1. ==[ start ]==> ((^a.((a a) a))((a a)(^a.b))) 2. ==[ alpha ]==> ((^x.((x x) x))((a a)(^y.b))) 3. ==[ beta ]==> ((((a a)(^y.b))((a a)(^y.b)))((a a)(^y.b))) 4. ==[ alpha ]==> ((((a a)(^x.b))((a a)(^y.b)))((a a)(^z.b))) REDUCED to normal form. ------ 33207/2025207. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 33208/2025216. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^a.(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(x1 b))) REDUCED to normal form. ------ 33209/2025339. ------ 1. ==[ start ]==> ((^a.(^a.b))(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 33210/2025519. ------ 1. ==[ start ]==> ((^a.(a b))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^y.y))(^z.(^x1.x1))) b) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 33211/2025720. ------ 1. ==[ start ]==> (((^a.a)(a b))(^b.(^c.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. ------ 33212/2025729. ------ 1. ==[ start ]==> (((a a)(^a.b))(^a.((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.((y y) y))) REDUCED to normal form. ------ 33213/2025882. ------ 1. ==[ start ]==> (((^a.b)(a a))(^a.(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(^z.y))) 3. ==[ beta ]==> (b (^y.(^z.y))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 33214/2025906. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1))(a a))((^z.(^x1.x1))(a a)))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z))(a a))((^x1.(^y1.y1))(a a)))) 5. ==[ beta ]==> (^x.((^z.z)((^x1.(^y1.y1))(a a)))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1))(a a)))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))(a a))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))(a a))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 33215/2026152. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 33216/2026287. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 33217/2026503. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 33218/2026512. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(z (z z)))) REDUCED to normal form. ------ 33219/2026788. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.a) a)) 3. ==[ beta ]==> ((((^z.a) a)((^z.a) a))(^y.y)) 4. ==[ alpha ]==> ((((^x.a) a)((^y.a) a))(^z.z)) 5. ==[ beta ]==> ((a ((^y.a) a))(^z.z)) 6. ==[ alpha ]==> ((a ((^x.a) a))(^y.y)) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 33220/2026962. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^b.(^a.(^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. ------ 33221/2026971. ------ 1. ==[ start ]==> (((a b) c)(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a b) c)(^x.(x (^y.y)))) REDUCED to normal form. ------ 33222/2026998. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^c.(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.(a a))) 3. ==[ beta ]==> (((a a) b)(^y.(a a))) 4. ==[ alpha ]==> (((a a) b)(^x.(a a))) REDUCED to normal form. ------ 33223/2027043. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.(a a))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 33224/2027070. ------ 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)(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 33225/2027079. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^a.(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(z z))) REDUCED to normal form. ------ 33226/2027106. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^a.a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.z)) 3. ==[ beta ]==> ((a (^y.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 33227/2027118. ------ 1. ==[ start ]==> ((a a)(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.b))) 3. ==[ beta ]==> ((a a)(a (^y.b))) 4. ==[ alpha ]==> ((a a)(a (^x.b))) REDUCED to normal form. ------ 33228/2027127. ------ 1. ==[ start ]==> ((a (^a.a))((^b.a)(a b))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)(a b))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 33229/2027145. ------ 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. ------ 33230/2027154. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 33231/2027172. ------ 1. ==[ start ]==> ((a b)((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 33232/2027181. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.a)((a a)(^a.a)))) 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)))) 5. ==[ beta ]==> ((a a)((a a)(^y.y))) 6. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 33233/2027226. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a)) b)) 3. ==[ beta ]==> (((a a)(a a))((a a) b)) REDUCED to normal form. ------ 33234/2027253. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a b) c)) 2. ==[ alpha ]==> ((a (a (^x.x)))((a b) c)) REDUCED to normal form. ------ 33235/2027262. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.b)(^b.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. ------ 33236/2027316. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 33237/2027370. ------ 1. ==[ start ]==> ((a (^b.a))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.b))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 33238/2027406. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(b ((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)(b ((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y)(a a)))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 33239/2027487. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a b)(a (^y.y)))) REDUCED to normal form. ------ 33240/2027514. ------ 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. ------ 33241/2027541. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.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. ------ 33242/2027568. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (a a))((^x1.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. ------ 33243/2027595. ------ 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. ------ 33244/2027685. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(a a))(^z.z))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))(^y.y))) 5. ==[ beta ]==> ((a (a a))((a a)(^y.y))) 6. ==[ alpha ]==> ((a (a a))((a a)(^x.x))) REDUCED to normal form. ------ 33245/2027712. ------ 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. ------ 33246/2027721. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.b)(a (^z.z)))) 5. ==[ beta ]==> (((^y.b)(a (^z.z)))((^y.b)(a (^z.z)))) 6. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.b)(a (^x1.x1)))) 7. ==[ beta ]==> (b ((^z.b)(a (^x1.x1)))) 8. ==[ alpha ]==> (b ((^x.b)(a (^y.y)))) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 33247/2027748. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((^y.a)((^z.z) a)) 6. ==[ alpha ]==> ((^x.a)((^y.y) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 33248/2027802. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.z))) 9. ==[ beta ]==> (((^y.y)(^z.z))((^y.y)(^z.z))) 10. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 11. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 12. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 13. ==[ beta ]==> ((^y.y)(^z.z)) 14. ==[ alpha ]==> ((^x.x)(^y.y)) 15. ==[ beta ]==> (^y.y) 16. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 33249/2027829. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a)((a a) a))) 3. ==[ beta ]==> ((a (a a))((^y.a)((a a) a))) 4. ==[ alpha ]==> ((a (a a))((^x.a)((a a) a))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 33250/2027856. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 33251/2027910. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(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))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 33252/2027937. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 33253/2028072. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 33254/2028099. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 33255/2028162. ------ 1. ==[ start ]==> (((a (a a)) b)(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 33256/2028189. ------ 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.y1) a))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (a (((^y.y)(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))((^z.z) a))) 7. ==[ beta ]==> (a ((^y.y)((^z.z) a))) 8. ==[ alpha ]==> (a ((^x.x)((^y.y) a))) 9. ==[ beta ]==> (a ((^y.y) a)) 10. ==[ alpha ]==> (a ((^x.x) a)) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 33257/2028216. ------ 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. ------ 33258/2028243. ------ 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)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a (^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a (^z.z))) REDUCED to normal form. ------ 33259/2028270. ------ 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))) REDUCED to normal form. ------ 33260/2028288. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(b (^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(b (^z.b))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(b (^z.b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (^z.b))) REDUCED to normal form. ------ 33261/2028297. ------ 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. ------ 33262/2028360. ------ 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. ------ 33263/2028387. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y)(^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))) 5. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.a)) 6. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.a)) REDUCED to normal form. ------ 33264/2028414. ------ 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.(z z)))) 3. ==[ beta ]==> ((a ((^y.y) a))((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> ((a ((^x.x) 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. ------ 33265/2028441. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 33266/2028495. ------ 1. ==[ start ]==> ((a ((a a) a))((a a)(^a.b))) 2. ==[ alpha ]==> ((a ((a a) a))((a a)(^x.b))) REDUCED to normal form. ------ 33267/2028531. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((^y1.b)(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.z))) 5. ==[ beta ]==> ((^y.b)(^z.z)) 6. ==[ alpha ]==> ((^x.b)(^y.y)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 33268/2028585. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.(^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. ------ 33269/2028693. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.y1)(^z1.b))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.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. ------ 33270/2028702. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(a (a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (a b))) REDUCED to normal form. ------ 33271/2028729. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((a a) a)(a a))) 3. ==[ beta ]==> ((a (^y.(y y)))(((a a) a)(a a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((a a) a)(a a))) REDUCED to normal form. ------ 33272/2028756. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.a))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)(a (^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. ------ 33273/2028783. ------ 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.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. ------ 33274/2028810. ------ 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. ------ 33275/2028828. ------ 1. ==[ start ]==> ((a (^a.b))(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(c (^y.(^z.z)))) REDUCED to normal form. ------ 33276/2028900. ------ 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. ------ 33277/2028927. ------ 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))(^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. ------ 33278/2028954. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a (a a))(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (a a))(^z.a))) 5. ==[ beta ]==> ((a (^y.y))((a (a a))(^z.a))) 6. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.a))) REDUCED to normal form. ------ 33279/2028981. ------ 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)))) 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. ------ 33280/2029008. ------ 1. ==[ start ]==> ((a (a b))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 33281/2029017. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 33282/2029098. ------ 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))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) IRREDUCIBLE: cycle. ------ 33283/2029161. ------ 1. ==[ start ]==> ((((a a) a) b)(c (a (a a)))) REDUCED to normal form. ------ 33284/2029179. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^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. ------ 33285/2029188. ------ 1. ==[ start ]==> (((a b) a)(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(b ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a b) a)(b (^y.y))) 4. ==[ alpha ]==> (((a b) a)(b (^x.x))) REDUCED to normal form. ------ 33286/2029206. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.y)(^z.a))) 3. ==[ beta ]==> ((a b)((^y.y)(^z.a))) 4. ==[ alpha ]==> ((a b)((^x.x)(^y.a))) 5. ==[ beta ]==> ((a b)(^y.a)) 6. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 33287/2029215. ------ 1. ==[ start ]==> (((a a)(^a.b))(a ((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))(a ((a a) a))) REDUCED to normal form. ------ 33288/2029269. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(a (^z.z)))) REDUCED to normal form. ------ 33289/2029296. ------ 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.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a ((^z.z) a))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a ((^y.y) a))) 5. ==[ beta ]==> (((a (a a))(^x.(x x)))(a a)) REDUCED to normal form. ------ 33290/2029323. ------ 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 REDUCED to normal form. ------ 33291/2029350. ------ 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. ------ 33292/2029368. ------ 1. ==[ start ]==> (((^a.b)(a a))(a (^c.a))) 2. ==[ alpha ]==> (((^x.b)(a a))(a (^y.a))) 3. ==[ beta ]==> (b (a (^y.a))) 4. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 33293/2029395. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 33294/2029413. ------ 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. ------ 33295/2029440. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(a (^z.a))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(a (^y.a))) REDUCED to normal form. ------ 33296/2029467. ------ 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 (^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 33297/2029494. ------ 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. ------ 33298/2029521. ------ 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.y1)) a)) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1)(^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(^x1.x1)) a)) 5. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1)) a)) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z)) a)) 7. ==[ beta ]==> (a (((^y.y)(^z.z)) a)) 8. ==[ alpha ]==> (a (((^x.x)(^y.y)) a)) 9. ==[ beta ]==> (a ((^y.y) a)) 10. ==[ alpha ]==> (a ((^x.x) a)) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 33299/2029548. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a (a a)) b)) REDUCED to normal form. ------ 33300/2029575. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a) a) c)) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x) a) c)) 3. ==[ beta ]==> (((a b)(a a))(a c)) REDUCED to normal form. ------ 33301/2029611. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 33302/2029638. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 33303/2029773. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 33304/2029827. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((a a)((^y.a)(a (^z.z)))) 6. ==[ alpha ]==> ((a a)((^x.a)(a (^y.y)))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 33305/2029836. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(c c)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(c c)) REDUCED to normal form. ------ 33306/2029854. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 33307/2029908. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.y1))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))(^z1.z1))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))(^z1.z1))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.y1))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(^y1.y1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.x1))) 9. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 11. ==[ beta ]==> ((^y.(y y))(^z.z)) 12. ==[ alpha ]==> ((^x.(x x))(^y.y)) 13. ==[ beta ]==> ((^y.y)(^y.y)) 14. ==[ alpha ]==> ((^x.x)(^y.y)) 15. ==[ beta ]==> (^y.y) 16. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 33308/2029971. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(b ((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(b a)) REDUCED to normal form. ------ 33309/2029989. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^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. ------ 33310/2029998. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (a (a a)))) REDUCED to normal form. ------ 33311/2030025. ------ 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)(^x.x))(a (a a))) REDUCED to normal form. ------ 33312/2030115. ------ 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. ------ 33313/2030142. ------ 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))(^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. ------ 33314/2030169. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a a)(^z.a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a a)(^z.a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((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. ------ 33315/2030196. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((^y.y) a) a)) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y) a) a)) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x) a) a)) 5. ==[ beta ]==> ((((a a) a) a)(a a)) REDUCED to normal form. ------ 33316/2030214. ------ 1. ==[ start ]==> (((^a.b) c)(c (a a))) 2. ==[ alpha ]==> (((^x.b) c)(c (a a))) 3. ==[ beta ]==> (b (c (a a))) REDUCED to normal form. ------ 33317/2030223. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (^y.y)) b)) REDUCED to normal form. ------ 33318/2030277. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.a) a)) 3. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 33319/2030313. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(b (^a.(^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. ------ 33320/2030448. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.a)(^a.(^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. ------ 33321/2030457. ------ 1. ==[ start ]==> (((a b) c)(a (a (^a.a)))) 2. ==[ alpha ]==> (((a b) c)(a (a (^x.x)))) REDUCED to normal form. ------ 33322/2030484. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a a)(a a))) 3. ==[ beta ]==> (((a a) b)((a a)(a a))) REDUCED to normal form. ------ 33323/2030511. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(b a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(b a)) REDUCED to normal form. ------ 33324/2030529. ------ 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)(^x.x))(a a)) REDUCED to normal form. ------ 33325/2030556. ------ 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)((^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. ------ 33326/2030565. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(a (a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a (a a))) REDUCED to normal form. ------ 33327/2030592. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(a a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(a a)) 3. ==[ beta ]==> ((a (^y.b))(a a)) 4. ==[ alpha ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 33328/2030928. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.((z z)(^x1.x1)))) 3. ==[ eta ]==> ((^y.y)(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y)(^z.z)))) 5. ==[ beta ]==> (^y.((y y)(^z.z))) 6. ==[ alpha ]==> (^x.((x x)(^y.y))) REDUCED to normal form. ------ 33329/2033763. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((^x.((x x)(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.z)) 5. ==[ beta ]==> (((^z.z)(^z.z))(^y.y)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 33330/2034081. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b)) b) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b)) b) 3. ==[ beta ]==> ((a (^y.b)) b) 4. ==[ alpha ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 33331/2034105. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 33332/2034171. ------ 1. ==[ start ]==> (((a a)(^a.a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 33333/2034186. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a)(^x1.x1)) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 33334/2034420. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(a ((a a)(^z.z)))) 3. ==[ eta ]==> ((^y.y)(a ((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.x)(a ((a a)(^y.y)))) 5. ==[ beta ]==> (a ((a a)(^y.y))) 6. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 33335/2034423. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.((y y)(^z.z)))) 3. ==[ beta ]==> ((a a)(^y.((y y)(^z.z)))) 4. ==[ alpha ]==> ((a a)(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 33336/2034873. ------ 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)))(^z.(a a))) REDUCED to normal form. ------ 33337/2034915. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a b) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b) b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 33338/2035305. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(z z)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(z z)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(y y)))) 7. ==[ beta ]==> (^y.(^z.(y y))) 8. ==[ alpha ]==> (^x.(^y.(x x))) REDUCED to normal form. ------ 33339/2035683. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.x1))) REDUCED to normal form. ------ 33340/2036196. ------ 1. ==[ start ]==> (((a a)(^a.b))(^b.(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.a))) REDUCED to normal form. ------ 33341/2036358. ------ 1. ==[ start ]==> (((a b)(^a.a))(^a.(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 33342/2036373. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (^y.((((^z.z)(^x1.x1))(^y1.y1))(((^z.z)(^x1.x1))(^y1.y1)))) 4. ==[ alpha ]==> (^x.((((^y.y)(^z.z))(^x1.x1))(((^y1.y1)(^z1.z1))(^x2.x2)))) 5. ==[ beta ]==> (^x.(((^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 ]==> (^x.((^z.z)(((^x1.x1)(^y1.y1))(^z1.z1)))) 8. ==[ alpha ]==> (^x.((^y.y)(((^z.z)(^x1.x1))(^y1.y1)))) 9. ==[ beta ]==> (^x.(((^z.z)(^x1.x1))(^y1.y1))) 10. ==[ alpha ]==> (^x.(((^y.y)(^z.z))(^x1.x1))) 11. ==[ beta ]==> (^x.((^z.z)(^x1.x1))) 12. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 13. ==[ beta ]==> (^x.(^z.z)) 14. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 33343/2036763. ------ 1. ==[ start ]==> (((a b) b)(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 33344/2036970. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^c.d)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.d)) 3. ==[ beta ]==> (b (^z.d)) 4. ==[ alpha ]==> (b (^x.d)) REDUCED to normal form. ------ 33345/2036979. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 33346/2037069. ------ 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))(^y.a)) REDUCED to normal form. ------ 33347/2037255. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(a ((^z.z) a))) 3. ==[ beta ]==> (((a ((^z.z) a))(a ((^z.z) a)))(^y.y)) 4. ==[ alpha ]==> (((a ((^x.x) a))(a ((^y.y) a)))(^z.z)) 5. ==[ beta ]==> (((a a)(a ((^y.y) a)))(^z.z)) 6. ==[ alpha ]==> (((a a)(a ((^x.x) a)))(^y.y)) 7. ==[ beta ]==> (((a a)(a a))(^y.y)) 8. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 33348/2037258. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.((^z.z) y))) 3. ==[ eta ]==> ((a ((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 33349/2037429. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^c.b)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.b)) 3. ==[ beta ]==> (b (^z.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 33350/2037438. ------ 1. ==[ start ]==> (((a b) c)(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 33351/2037492. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 33352/2037546. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.x1))) REDUCED to normal form. ------ 33353/2037573. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(^x1.x1))) 3. ==[ beta ]==> ((a (^y.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 33354/2037603. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> ((a (^x.x))(a (^z.b))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.b))) REDUCED to normal form. ------ 33355/2037612. ------ 1. ==[ start ]==> (((^a.a) a)((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.x) a)((^y.a)(a b))) 3. ==[ beta ]==> (a ((^y.a)(a b))) 4. ==[ alpha ]==> (a ((^x.a)(a b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 33356/2037630. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(a a))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 33357/2037639. ------ 1. ==[ start ]==> (((a a) a)((^a.(^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. ------ 33358/2037666. ------ 1. ==[ start ]==> (((a a)(^a.a))((^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. ------ 33359/2037684. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 33360/2037693. ------ 1. ==[ start ]==> (((^a.a) b)((^c.(^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))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 33361/2037720. ------ 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 a) REDUCED to normal form. ------ 33362/2037738. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a b) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b) c)) 3. ==[ beta ]==> ((^y.(^z.z))((a b) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((a b) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 33363/2037747. ------ 1. ==[ start ]==> (((a a) b)((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a a) b)((^x.b)(^y.a))) 3. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 33364/2037801. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.(^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. ------ 33365/2037882. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 33366/2037891. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(b ((^y.y)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(b (a a))) REDUCED to normal form. ------ 33367/2037918. ------ 1. ==[ start ]==> ((a ((^a.a) a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(a ((a a)(^y.y)))) 3. ==[ beta ]==> ((a a)(a ((a a)(^y.y)))) 4. ==[ alpha ]==> ((a a)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 33368/2037927. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z)) a)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 33369/2037954. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a)) b)) 3. ==[ beta ]==> ((^y.y)((^y1.(a a)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) b)) 5. ==[ beta ]==> ((^y.(a a)) b) 6. ==[ alpha ]==> ((^x.(a a)) b) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 33370/2038107. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a (^y.y))(a b))) 3. ==[ beta ]==> (((a a) a)((a (^y.y))(a b))) 4. ==[ alpha ]==> (((a a) a)((a (^x.x))(a b))) REDUCED to normal form. ------ 33371/2038134. ------ 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)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a)(a a))) REDUCED to normal form. ------ 33372/2038179. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(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))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 33373/2038197. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))((a b)(^y.(^z.z)))) 5. ==[ beta ]==> (((a b)(^y.(^z.z)))((a b)(^y.(^z.z)))) 6. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 33374/2038224. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 33375/2038260. ------ 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. ------ 33376/2038278. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (a a))(^z.(^x1.x1)))) 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. ------ 33377/2038287. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(x x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y)(^z.z))((^y.y)(^z.z)))) 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. ------ 33378/2038314. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)((a a) a))) 3. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 33379/2038332. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a (^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.y)((a (^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. ------ 33380/2038341. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 33381/2038368. ------ 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. ------ 33382/2038386. ------ 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)(a a))(((^y.y)(a a)) a)) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a)) a)) 5. ==[ beta ]==> (((a a)(a a))((a a) a)) REDUCED to normal form. ------ 33383/2038395. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((a (a a))(^x.x))(a a)) REDUCED to normal form. ------ 33384/2038413. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a b) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a b) b)) REDUCED to normal form. ------ 33385/2038503. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(a a))(^b.(^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. ------ 33386/2038629. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.b) b)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.b) b)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b) b)) 5. ==[ beta ]==> ((^y.y)((^y1.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. ------ 33387/2038746. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(c (^c.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. ------ 33388/2038773. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b (^z.b))) REDUCED to normal form. ------ 33389/2038800. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^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. ------ 33390/2039007. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((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. ------ 33391/2039061. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z)(^x1.x1)) c)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z)(^x1.x1)) c)) 5. ==[ beta ]==> (a (((^z.z)(^x1.x1)) c)) 6. ==[ alpha ]==> (a (((^x.x)(^y.y)) c)) 7. ==[ beta ]==> (a ((^y.y) c)) 8. ==[ alpha ]==> (a ((^x.x) c)) 9. ==[ beta ]==> (a c) REDUCED to normal form. ------ 33392/2039097. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> (b ((^y.(y y))(^z.(z z)))) 6. ==[ alpha ]==> (b ((^x.(x x))(^y.(y y)))) 7. ==[ beta ]==> (b ((^y.(y y))(^y.(y y)))) 8. ==[ alpha ]==> (b ((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 33393/2039124. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 33394/2039178. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.b)) REDUCED to normal form. ------ 33395/2039322. ------ 1. ==[ start ]==> (((a a)((a a) a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((a (^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)((a a) a))((a (^x.x))(^z.z))) 4. ==[ alpha ]==> (((a a)((a a) a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 33396/2039349. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a a)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a a)((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)((a a) a))) REDUCED to normal form. ------ 33397/2039475. ------ 1. ==[ start ]==> (((^a.b) a)((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.a)(a (a a)))) 3. ==[ beta ]==> (b ((^y.a)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.a)(a (a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 33398/2039493. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (^a.a))(^b.(^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. ------ 33399/2039574. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(^x1.x1)) b)) IRREDUCIBLE: cycle. ------ 33400/2039637. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.a)(^y.(y y)))) 3. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 33401/2039664. ------ 1. ==[ start ]==> (((a b) a)((^a.(^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. ------ 33402/2039691. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.a)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.a)) REDUCED to normal form. ------ 33403/2039799. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(c (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(c (^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(c (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(c (^z.(z z)))) 5. ==[ beta ]==> ((^y.a)(c (^z.(z z)))) 6. ==[ alpha ]==> ((^x.a)(c (^y.(y y)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 33404/2039826. ------ 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. ------ 33405/2039853. ------ 1. ==[ start ]==> (((a b)(^a.a))(a (^c.a))) 2. ==[ alpha ]==> (((a b)(^x.x))(a (^y.a))) REDUCED to normal form. ------ 33406/2039871. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (^x.(a a)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.z))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 33407/2040042. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 33408/2040168. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1)) b)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1)) b)) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1)) b)) 6. ==[ alpha ]==> ((^x.x)((^y.(y y)) b)) 7. ==[ beta ]==> ((^y.(y y)) b) 8. ==[ alpha ]==> ((^x.(x x)) b) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 33409/2040258. ------ 1. ==[ start ]==> (((a b) b)(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 33410/2040285. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(y y))(a a))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))(a a))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))(a a))) 5. ==[ beta ]==> (((a a) a)((a a)(a a))) REDUCED to normal form. ------ 33411/2040303. ------ 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. ------ 33412/2040312. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 33413/2040330. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((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. ------ 33414/2040339. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 33415/2040384. ------ 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 ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((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. ------ 33416/2040393. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.x1)(^x1.x1))) 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. ------ 33417/2040420. ------ 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)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.a)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((^y.a)(^z.(^x1.x1)))((^y.a)(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((^x.a)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 9. ==[ beta ]==> (a ((^x1.a)(^y1.(^z1.z1)))) 10. ==[ alpha ]==> (a ((^x.a)(^y.(^z.z)))) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 33418/2040447. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(^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. ------ 33419/2040474. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.(x1 x1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 33420/2040537. ------ 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)(a a))((a (^y.y))(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 33421/2040564. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a a)((^y.y) a))) 3. ==[ beta ]==> (((a (^x.x))(a b))((a a) a)) REDUCED to normal form. ------ 33422/2040645. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(b c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(b c)) 3. ==[ beta ]==> (((^y.y)(a (a a)))(b c)) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(b c)) 5. ==[ beta ]==> ((a (a a))(b c)) REDUCED to normal form. ------ 33423/2040690. ------ 1. ==[ start ]==> (((^a.b) c)((^b.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. ------ 33424/2040699. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(c (a a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(c (a a))) REDUCED to normal form. ------ 33425/2040726. ------ 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. ------ 33426/2040753. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(a ((^y.y) a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 33427/2040789. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 33428/2040924. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a a) b)) 3. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 33429/2040933. ------ 1. ==[ start ]==> (((a b) c)((^a.a)(^a.(^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. ------ 33430/2040960. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(b (^y.y))) 3. ==[ beta ]==> (((a a) b)(b (^y.y))) 4. ==[ alpha ]==> (((a a) b)(b (^x.x))) REDUCED to normal form. ------ 33431/2040987. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(a (^y.(^z.z)))) REDUCED to normal form. ------ 33432/2041005. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a a)(^a.a))) 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. ------ 33433/2041032. ------ 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)) 4. ==[ alpha ]==> ((^x.x)((a a) a)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 33434/2041041. ------ 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))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 33435/2041068. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(a (^z.z))) 3. ==[ beta ]==> ((a (^y.b))(a (^z.z))) 4. ==[ alpha ]==> ((a (^x.b))(a (^y.y))) REDUCED to normal form. ------ 33436/2041085. ------ 1. ==[ start ]==> (^a.((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (^x.((^y.(y y))((x x) x))) 3. ==[ beta ]==> (^x.(((x x) x)((x x) x))) REDUCED to normal form. ------ 33437/2041086. ------ 1. ==[ start ]==> (a ((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (a ((^x.(x x))((a a) a))) 3. ==[ beta ]==> (a (((a a) a)((a a) a))) REDUCED to normal form. ------ 33438/2041413. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.(^x1.(^y1.y1)))) 3. ==[ eta ]==> ((^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. ------ 33439/2044248. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.(^x1.a))) 3. ==[ beta ]==> (((^z.(^x1.a))(^z.(^x1.a)))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.a))(^z.(^x1.a)))(^y1.y1)) 5. ==[ beta ]==> ((^y.a)(^y1.y1)) 6. ==[ alpha ]==> ((^x.a)(^y.y)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 33440/2044566. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b)) c) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b)) c) 3. ==[ beta ]==> ((a (^y.b)) c) 4. ==[ alpha ]==> ((a (^x.b)) c) REDUCED to normal form. ------ 33441/2044584. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a)) a) 2. ==[ alpha ]==> (((^x.(x x))((a a) a)) a) 3. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 33442/2044590. ------ 1. ==[ start ]==> ((^a.a)((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.x)((^y.(y y))((a a) a))) 3. ==[ beta ]==> ((^y.(y y))((a a) a)) 4. ==[ alpha ]==> ((^x.(x x))((a a) a)) 5. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 33443/2044617. ------ 1. ==[ start ]==> ((^a.(a a))((^b.a)(a b))) 2. ==[ alpha ]==> ((^x.(x x))((^y.a)(a b))) 3. ==[ beta ]==> (((^y.a)(a b))((^y.a)(a b))) 4. ==[ alpha ]==> (((^x.a)(a b))((^y.a)(a b))) 5. ==[ beta ]==> (a ((^y.a)(a b))) 6. ==[ alpha ]==> (a ((^x.a)(a b))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 33444/2044644. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 33445/2044725. ------ 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 a)(^x1.x1)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 33446/2044917. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^b.(^c.(^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. ------ 33447/2044926. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.a)(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)(^y.((y y)(^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 33448/2045085. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 33449/2045184. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(a a))(a a))) 3. ==[ beta ]==> (((^y.(a a))(a a))(((^y.(a a))(a a))((^y.(a a))(a a)))) 4. ==[ alpha ]==> (((^x.(a a))(a a))(((^y.(a a))(a a))((^z.(a a))(a a)))) 5. ==[ beta ]==> ((a a)(((^y.(a a))(a a))((^z.(a a))(a a)))) 6. ==[ alpha ]==> ((a a)(((^x.(a a))(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 a))) REDUCED to normal form. ------ 33450/2045535. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.a)(^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. ------ 33451/2045967. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((((^y.(^z.z))((a a) a))((^y.(^z.z))((a a) a)))((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> ((((^x.(^y.y))((a a) a))((^z.(^x1.x1))((a a) a)))((^y1.(^z1.z1))((a a) a))) 5. ==[ beta ]==> (((^y.y)((^z.(^x1.x1))((a a) a)))((^y1.(^z1.z1))((a a) a))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))((a a) a)))((^x1.(^y1.y1))((a a) a))) 7. ==[ beta ]==> (((^y.(^z.z))((a a) a))((^x1.(^y1.y1))((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. ------ 33452/2046300. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 33453/2046375. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(^y.(^z.b))) 3. ==[ beta ]==> ((a (a (a a)))(^y.(^z.b))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.b))) REDUCED to normal form. ------ 33454/2046480. ------ 1. ==[ start ]==> ((^a.(a b))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((^y.a)(a (a a))) b) 4. ==[ alpha ]==> (((^x.a)(a (a a))) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 33455/2046708. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(^z.((z z) z))) 3. ==[ beta ]==> ((^y.y)(^z.((z z) z))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y) y))) 5. ==[ beta ]==> (^y.((y y) y)) 6. ==[ alpha ]==> (^x.((x x) x)) REDUCED to normal form. ------ 33456/2046843. ------ 1. ==[ start ]==> (((^a.b)(a a))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 33457/2046996. ------ 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.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x) a)(^y.((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (a (^y.((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (a (^x.((^y.y)(^z.z)))) 9. ==[ beta ]==> (a (^x.(^z.z))) 10. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 33458/2047074. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)(((^z.a)(^x1.a))((^z.a)(^x1.a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.a)(^z.a))((^x1.a)(^y1.a)))) 5. ==[ beta ]==> (((^y.a)(^z.a))((^x1.a)(^y1.a))) 6. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a)(^x1.a))) 7. ==[ beta ]==> (a ((^z.a)(^x1.a))) 8. ==[ alpha ]==> (a ((^x.a)(^y.a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 33459/2047248. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^c.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(a (a a)))) 3. ==[ beta ]==> (b (^x1.(a (a a)))) 4. ==[ alpha ]==> (b (^x.(a (a a)))) REDUCED to normal form. ------ 33460/2047473. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^c.d)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.d)) REDUCED to normal form. ------ 33461/2047590. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((a ((a a) a))(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 33462/2047671. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) 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)(^x.a)) REDUCED to normal form. ------ 33463/2047749. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((((^z.z)(^x1.a))((^z.z)(^x1.a)))(^y.y)) 4. ==[ alpha ]==> ((((^x.x)(^y.a))((^z.z)(^x1.a)))(^y1.y1)) 5. ==[ beta ]==> (((^y.a)((^z.z)(^x1.a)))(^y1.y1)) 6. ==[ alpha ]==> (((^x.a)((^y.y)(^z.a)))(^x1.x1)) 7. ==[ beta ]==> (a (^x1.x1)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 33464/2047752. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.a))) REDUCED to normal form. ------ 33465/2047932. ------ 1. ==[ start ]==> (((a b) c)(^c.b)) 2. ==[ alpha ]==> (((a b) c)(^x.b)) REDUCED to normal form. ------ 33466/2047986. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^b.b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 33467/2048031. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^a.b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(^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. ------ 33468/2048040. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^c.a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.a)) REDUCED to normal form. ------ 33469/2048067. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^b.a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.a)) 3. ==[ beta ]==> ((a (^y.b))(^z.a)) 4. ==[ alpha ]==> ((a (^x.b))(^y.a)) REDUCED to normal form. ------ 33470/2048085. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^a.a)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.y)) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 33471/2048097. ------ 1. ==[ start ]==> ((a a)((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((a a)((^x.(x x))((a a) a))) 3. ==[ beta ]==> ((a a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 33472/2048115. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (a (((^y.y) a)(^z.b))) 4. ==[ alpha ]==> (a (((^x.x) a)(^y.b))) 5. ==[ beta ]==> (a (a (^y.b))) 6. ==[ alpha ]==> (a (a (^x.b))) REDUCED to normal form. ------ 33473/2048124. ------ 1. ==[ start ]==> ((a (a a))((^b.a)(a b))) 2. ==[ alpha ]==> ((a (a a))((^x.a)(a b))) 3. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 33474/2048142. ------ 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. ------ 33475/2048151. ------ 1. ==[ start ]==> ((a b)((^a.(^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. ------ 33476/2048196. ------ 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. ------ 33477/2048223. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.z)(a a)) b)) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a)) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a)) b)) 5. ==[ beta ]==> (((^y.y)(a a)) b) 6. ==[ alpha ]==> (((^x.x)(a a)) b) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 33478/2048232. ------ 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 a)) REDUCED to normal form. ------ 33479/2048250. ------ 1. ==[ start ]==> (((a a) b)((a b) c)) REDUCED to normal form. ------ 33480/2048367. ------ 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. ------ 33481/2048394. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(^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. ------ 33482/2048430. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(a ((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.a)(a ((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.a)(a ((a a)(^y.y)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 33483/2048457. ------ 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. ------ 33484/2048466. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(a a)) b)) 3. ==[ beta ]==> (((a (^x.x)) b)(a a)) REDUCED to normal form. ------ 33485/2048493. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.b) c)) 3. ==[ beta ]==> ((a a)((^y.b) c)) 4. ==[ alpha ]==> ((a a)((^x.b) c)) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 33486/2048511. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> (((^y.y) a)(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> (((^x.x) a)(((a a) a)((^y.y) a))) 5. ==[ beta ]==> (a (((a a) a)((^y.y) a))) 6. ==[ alpha ]==> (a (((a a) a)((^x.x) a))) 7. ==[ beta ]==> (a (((a a) a) a)) REDUCED to normal form. ------ 33487/2048520. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.a) d)) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a) d)) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 33488/2048538. ------ 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)(^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. ------ 33489/2048592. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> ((a (^x.(x x)))(a ((a a) a))) REDUCED to normal form. ------ 33490/2048637. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (^z.(a a)))) REDUCED to normal form. ------ 33491/2048682. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) 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))) 5. ==[ beta ]==> ((a a)((a a)(^y.y))) 6. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 33492/2048691. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(a a))(a a))) 3. ==[ beta ]==> ((a (a (a a)))(a a)) REDUCED to normal form. ------ 33493/2048763. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^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)((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.(y y)))) 7. ==[ beta ]==> ((a b)(^y.(y y))) 8. ==[ alpha ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 33494/2048790. ------ 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. ------ 33495/2048844. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (^z.z))(^x1.b))) REDUCED to normal form. ------ 33496/2048871. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a a)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.(a a)))) REDUCED to normal form. ------ 33497/2048898. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(a a)) a)) 3. ==[ beta ]==> (((a (a a))(^x.x))((a a) a)) REDUCED to normal form. ------ 33498/2048934. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a (a a))) b) REDUCED to normal form. ------ 33499/2048988. ------ 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))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 33500/2049015. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 33501/2049042. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 33502/2049051. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(c ((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(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. ------ 33503/2049078. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(b (a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 33504/2049132. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a b)(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a b)(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((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. ------ 33505/2049141. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.b) b)) 2. ==[ alpha ]==> (((a (a a)) b)((^x.b) b)) 3. ==[ beta ]==> (((a (a a)) b) b) REDUCED to normal form. ------ 33506/2049186. ------ 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))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1) 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) 13. ==[ beta ]==> a REDUCED to normal form. ------ 33507/2049213. ------ 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. ------ 33508/2049267. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a (^z.z))((a a) a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (^z.z))((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))((a a) a))) REDUCED to normal form. ------ 33509/2049339. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.b)(a a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.b)(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(a a))) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 33510/2049393. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z) a))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 33511/2049420. ------ 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. ------ 33512/2049447. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a a)((^y.a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.a)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 33513/2049474. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> ((a ((a a) a))(^y.y)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 33514/2049672. ------ 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. ------ 33515/2049708. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.b) a)) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.b) a)) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.b) a)) 5. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 33516/2049726. ------ 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)((^y.y) 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))) 7. ==[ beta ]==> ((a a)(((a a) a)(a a))) REDUCED to normal form. ------ 33517/2049735. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^c.a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.a) b)) 3. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 33518/2049762. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1)) c)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1)) c)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) c)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) c)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 33519/2049807. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> ((a (^x.b))(a (a (a a)))) REDUCED to normal form. ------ 33520/2049852. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(b (^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(b (^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (^z.a))) REDUCED to normal form. ------ 33521/2049879. ------ 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. ------ 33522/2049933. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 33523/2049960. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(x x))((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(a a))(((^y.y) a)((^y.y) 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. ------ 33524/2049978. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> (b (a (^y.(y y)))) 6. ==[ alpha ]==> (b (a (^x.(x x)))) REDUCED to normal form. ------ 33525/2049987. ------ 1. ==[ start ]==> ((a (a b))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((a (a b))((^x.a)(a (a a)))) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 33526/2050158. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(c (a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(c (a (a a)))) 3. ==[ beta ]==> (b (c (a (a a)))) REDUCED to normal form. ------ 33527/2050185. ------ 1. ==[ start ]==> (((^a.a)(a b))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a b)(b ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a b)(b ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a b)(b (^y.y))) 6. ==[ alpha ]==> ((a b)(b (^x.x))) REDUCED to normal form. ------ 33528/2050212. ------ 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))) 4. ==[ alpha ]==> ((^x.x)(a ((a a) a))) 5. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 33529/2050248. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 33530/2050266. ------ 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. ------ 33531/2050347. ------ 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)((^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. ------ 33532/2050392. ------ 1. ==[ start ]==> (((a a)(a b))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))(a a))) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 33533/2050419. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 33534/2050446. ------ 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.y1) a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> ((a (^y.y))((^z.a)((^x1.x1) a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)((^z.z) a))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 33535/2050473. ------ 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. ------ 33536/2050500. ------ 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.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (a ((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (a ((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> (a ((^y.y)(^z.z))) 10. ==[ alpha ]==> (a ((^x.x)(^y.y))) 11. ==[ beta ]==> (a (^y.y)) 12. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 33537/2050527. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 33538/2050545. ------ 1. ==[ start ]==> (((^a.b) b)((a (a a)) b)) 2. ==[ alpha ]==> (((^x.b) b)((a (a a)) b)) 3. ==[ beta ]==> (b ((a (a a)) b)) REDUCED to normal form. ------ 33539/2050554. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a a))((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b)(a a))(^y.y)) 6. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 33540/2050581. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a (a a))((^y.a)(^z.a))) 4. ==[ alpha ]==> ((a (a a))((^x.a)(^y.a))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 33541/2050590. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c ((^z.z) a))) 3. ==[ beta ]==> ((^y.(a a))(c ((^z.z) a))) 4. ==[ alpha ]==> ((^x.(a a))(c ((^y.y) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 33542/2050617. ------ 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. ------ 33543/2050671. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (a a))(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (a a))(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))(a a))) 5. ==[ beta ]==> ((^y.y)((a (a a))(a a))) 6. ==[ alpha ]==> ((^x.x)((a (a a))(a a))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 33544/2050752. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a)(a (a a)))) 3. ==[ beta ]==> (b ((a a)(a (a a)))) REDUCED to normal form. ------ 33545/2050788. ------ 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. ------ 33546/2050815. ------ 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)))) 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. ------ 33547/2050833. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(c c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(c c)) 3. ==[ beta ]==> ((^y.y)(c c)) 4. ==[ alpha ]==> ((^x.x)(c c)) 5. ==[ beta ]==> (c c) REDUCED to normal form. ------ 33548/2050842. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 33549/2050896. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (a a)) a)) REDUCED to normal form. ------ 33550/2050923. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1) a) b)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1) a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) a) b)) 5. ==[ beta ]==> ((^y.(y y))(((^z.z) a) b)) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y) a) b)) 7. ==[ beta ]==> ((((^y.y) a) b)(((^y.y) a) b)) 8. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y) a) b)) 9. ==[ beta ]==> ((a b)(((^y.y) a) b)) 10. ==[ alpha ]==> ((a b)(((^x.x) a) b)) 11. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 33551/2050950. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a (^a.a)) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a (^y.y)) c)) REDUCED to normal form. ------ 33552/2050968. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(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. ------ 33553/2051004. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(z z)) a)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z)) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y)) a)) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 33554/2051067. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(b (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(b (^y.a))) REDUCED to normal form. ------ 33555/2051094. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(a (^y.(y y)))) 3. ==[ beta ]==> ((a ((a a) a))(a (^y.(y y)))) 4. ==[ alpha ]==> ((a ((a a) a))(a (^x.(x x)))) REDUCED to normal form. ------ 33556/2051121. ------ 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) REDUCED to normal form. ------ 33557/2051148. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(a (^z.z)))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 33558/2051175. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((((a a) a) a)((^y.y)((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.x)((^y.y) a))) 5. ==[ beta ]==> ((((a a) a) a)((^y.y) a)) 6. ==[ alpha ]==> ((((a a) a) a)((^x.x) a)) 7. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 33559/2051193. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.b) c)(((^y.y) a) a)) 3. ==[ beta ]==> (b (((^y.y) a) a)) 4. ==[ alpha ]==> (b (((^x.x) a) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 33560/2051202. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 33561/2051229. ------ 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. ------ 33562/2051256. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(^z.a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.a)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.a)) REDUCED to normal form. ------ 33563/2051292. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((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. ------ 33564/2051427. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(b (a a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(b (a a))) 3. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 33565/2051436. ------ 1. ==[ start ]==> (((a b) c)((a a) b)) REDUCED to normal form. ------ 33566/2051463. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(^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. ------ 33567/2051490. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y) b)) 3. ==[ beta ]==> ((((a a)(^x.x)) a) b) REDUCED to normal form. ------ 33568/2051508. ------ 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)) REDUCED to normal form. ------ 33569/2051535. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(a b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(a b)) 3. ==[ beta ]==> ((^y.y)(a b)) 4. ==[ alpha ]==> ((^x.x)(a b)) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 33570/2051544. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a a) a)) REDUCED to normal form. ------ 33571/2051571. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.z) a)) 3. ==[ beta ]==> ((a (^y.b))((^z.z) a)) 4. ==[ alpha ]==> ((a (^x.b))((^y.y) a)) 5. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 33572/2051589. ------ 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)) REDUCED to normal form. ------ 33573/2051691. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 33574/2053878. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^a.(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(^x1.z))) 3. ==[ beta ]==> (^y.((^z.(^x1.z))(^z.(^x1.z)))) 4. ==[ alpha ]==> (^x.((^y.(^z.y))(^x1.(^y1.x1)))) 5. ==[ beta ]==> (^x.(^z.(^x1.(^y1.x1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.z)))) REDUCED to normal form. ------ 33575/2055096. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a)) b) 2. ==[ alpha ]==> (((^x.(x x))((a a) a)) b) 3. ==[ beta ]==> ((((a a) a)((a a) a)) b) REDUCED to normal form. ------ 33576/2055120. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((a a) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 33577/2055138. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> ((((^y.y) a)(^z.b))(((^y.y) a)(^z.b))) 4. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z) a)(^x1.b))) 5. ==[ beta ]==> ((a (^y.b))(((^z.z) a)(^x1.b))) 6. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)(^z.b))) 7. ==[ beta ]==> ((a (^x.b))(a (^z.b))) 8. ==[ alpha ]==> ((a (^x.b))(a (^y.b))) REDUCED to normal form. ------ 33578/2055165. ------ 1. ==[ start ]==> ((^a.b)((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.b)((a (^y.y))(^z.(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 33579/2055201. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 33580/2055204. ------ 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. ------ 33581/2055246. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z)(a a)) b)) 3. ==[ beta ]==> ((((^z.z)(a a)) b)(^y.y)) 4. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.y)) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 33582/2055363. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (^y.((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (^x.((^y.(y y))(^z.a))) 5. ==[ beta ]==> (^x.((^z.a)(^z.a))) 6. ==[ alpha ]==> (^x.((^y.a)(^z.a))) 7. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 33583/2055447. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^b.(^c.(^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. ------ 33584/2055705. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> ((((^y.y)(a a))(^z.z))((((^y.y)(a a))(^z.z))(((^y.y)(a a))(^z.z)))) 4. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((((^z.z)(a a))(^x1.x1))(((^y1.y1)(a a))(^z1.z1)))) 5. ==[ beta ]==> (((a a)(^y.y))((((^z.z)(a a))(^x1.x1))(((^y1.y1)(a a))(^z1.z1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((((^y.y)(a a))(^z.z))(((^x1.x1)(a a))(^y1.y1)))) 7. ==[ beta ]==> (((a a)(^x.x))(((a a)(^z.z))(((^x1.x1)(a a))(^y1.y1)))) 8. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))(((^z.z)(a a))(^x1.x1)))) 9. ==[ beta ]==> (((a a)(^x.x))(((a a)(^y.y))((a a)(^x1.x1)))) 10. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 33585/2055906. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(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)))) 5. ==[ beta ]==> (((a a)(a a))(^x.(a a))) REDUCED to normal form. ------ 33586/2055930. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 33587/2056527. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(a y1))) 3. ==[ eta ]==> (((^x.(^y.y))(^z.(^x1.x1))) a) 4. ==[ beta ]==> ((^y.y) a) 5. ==[ alpha ]==> ((^x.x) a) 6. ==[ beta ]==> a REDUCED to normal form. ------ 33588/2056725. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.(z b))) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.(z b))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(y b))) REDUCED to normal form. ------ 33589/2057001. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> ((((^y.y) a)(^z.(z z))) b) 4. ==[ alpha ]==> ((((^x.x) a)(^y.(y y))) b) 5. ==[ beta ]==> ((a (^y.(y y))) b) 6. ==[ alpha ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 33590/2057229. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(^z.(^x1.a))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 5. ==[ beta ]==> (^y.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 33591/2057373. ------ 1. ==[ start ]==> (((a b)(^a.a))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.x))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 33592/2057388. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(a (^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(a (^z.a))) 3. ==[ beta ]==> (^y.((a (^z.a))(a (^z.a)))) 4. ==[ alpha ]==> (^x.((a (^y.a))(a (^z.a)))) REDUCED to normal form. ------ 33593/2057391. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^a.(^c.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.y))) REDUCED to normal form. ------ 33594/2057778. ------ 1. ==[ start ]==> (((a b) b)(^c.(a (a a)))) 2. ==[ alpha ]==> (((a b) b)(^x.(a (a a)))) REDUCED to normal form. ------ 33595/2057904. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.(a (a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.(a (a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(a (a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(a (a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(a (a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(a (a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(a (a a)))) 9. ==[ beta ]==> ((^y.y)(^z.(a (a a)))) 10. ==[ alpha ]==> ((^x.x)(^y.(a (a a)))) 11. ==[ beta ]==> (^y.(a (a a))) 12. ==[ alpha ]==> (^x.(a (a a))) REDUCED to normal form. ------ 33596/2058021. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.(z (z z)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(z (z z)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(y (y y)))) REDUCED to normal form. ------ 33597/2058210. ------ 1. ==[ start ]==> (((^a.b) c)(^a.d)) 2. ==[ alpha ]==> (((^x.b) c)(^y.d)) 3. ==[ beta ]==> (b (^y.d)) 4. ==[ alpha ]==> (b (^x.d)) REDUCED to normal form. ------ 33598/2058453. ------ 1. ==[ start ]==> (((a b) c)(^d.(a a))) 2. ==[ alpha ]==> (((a b) c)(^x.(a a))) REDUCED to normal form. ------ 33599/2058480. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.(y (^z.z)))) 3. ==[ beta ]==> (((a a) b)(^y.(y (^z.z)))) 4. ==[ alpha ]==> (((a a) b)(^x.(x (^y.y)))) REDUCED to normal form. ------ 33600/2058525. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^a.(^a.(^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. ------ 33601/2058552. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(^x1.(a a))) 3. ==[ beta ]==> ((^y.y)(^x1.(a a))) 4. ==[ alpha ]==> ((^x.x)(^y.(a a))) 5. ==[ beta ]==> (^y.(a a)) 6. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 33602/2058561. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^a.b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.b)) REDUCED to normal form. ------ 33603/2058588. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(z z))) 3. ==[ beta ]==> ((a (^y.b))(^z.(z z))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(y y))) REDUCED to normal form. ------ 33604/2058606. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.(^z.z))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 33605/2058636. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(y y))((a a) a))) 3. ==[ beta ]==> ((a (^x.x))(((a a) a)((a a) a))) REDUCED to normal form. ------ 33606/2058654. ------ 1. ==[ start ]==> ((a (a a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((a (a a))(((^x.x) a)(^y.b))) 3. ==[ beta ]==> ((a (a a))(a (^y.b))) 4. ==[ alpha ]==> ((a (a a))(a (^x.b))) REDUCED to normal form. ------ 33607/2058663. ------ 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 REDUCED to normal form. ------ 33608/2058681. ------ 1. ==[ start ]==> ((a b)((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a b)((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 33609/2058690. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(^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. ------ 33610/2058717. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 33611/2058735. ------ 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. ------ 33612/2058762. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y)(a a)) b)) 3. ==[ beta ]==> ((a (a (^x.x)))((a a) b)) REDUCED to normal form. ------ 33613/2058771. ------ 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. ------ 33614/2058798. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 33615/2058852. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.(^a.a))(^b.(^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. ------ 33616/2058879. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((a (^x.a))((^z.a)(^z.a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 33617/2058915. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(c (a b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(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. ------ 33618/2058960. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.a)(^c.(^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. ------ 33619/2058996. ------ 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. ------ 33620/2059023. ------ 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. ------ 33621/2059050. ------ 1. ==[ start ]==> (((a a)(^b.a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> (((a a)(^x.a))(((a a) a) a)) REDUCED to normal form. ------ 33622/2059077. ------ 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)(^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. ------ 33623/2059104. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((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. ------ 33624/2059221. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(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. ------ 33625/2059230. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(a a))(a a))) 3. ==[ beta ]==> ((^y.(y y))((^z.(a a))(a a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(a a))(a a))) 5. ==[ beta ]==> (((^y.(a a))(a a))((^y.(a a))(a a))) 6. ==[ alpha ]==> (((^x.(a a))(a a))((^y.(a a))(a a))) 7. ==[ beta ]==> ((a a)((^y.(a a))(a a))) 8. ==[ alpha ]==> ((a a)((^x.(a a))(a a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 33626/2059257. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 33627/2059311. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(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. ------ 33628/2059338. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))((^y.y)(^z.z)))) 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. ------ 33629/2059365. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 33630/2059419. ------ 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)(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. ------ 33631/2059446. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 33632/2059464. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a b) b)) REDUCED to normal form. ------ 33633/2059581. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 33634/2059608. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 33635/2059671. ------ 1. ==[ start ]==> (((a (a a)) b)((a b)(a a))) REDUCED to normal form. ------ 33636/2059698. ------ 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. ------ 33637/2059725. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 33638/2059752. ------ 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. ------ 33639/2059779. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.a))(a ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.a))(a ((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (^x.a))(a (^z.z))) 8. ==[ alpha ]==> ((a (^x.a))(a (^y.y))) REDUCED to normal form. ------ 33640/2059806. ------ 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. ------ 33641/2059833. ------ 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. ------ 33642/2059869. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a b)(^z.z))) 3. ==[ beta ]==> (((a a)(^y.y))((a b)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))((a b)(^y.y))) REDUCED to normal form. ------ 33643/2059896. ------ 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. ------ 33644/2059923. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^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)((^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. ------ 33645/2059950. ------ 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. ------ 33646/2059977. ------ 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.(^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. ------ 33647/2060040. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 33648/2060094. ------ 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)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 33649/2060175. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.a)(^b.(^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. ------ 33650/2060211. ------ 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. ------ 33651/2060238. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(a (a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(a (a b))) 3. ==[ beta ]==> ((a (^y.(y y)))(a (a b))) 4. ==[ alpha ]==> ((a (^x.(x x)))(a (a b))) REDUCED to normal form. ------ 33652/2060265. ------ 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. ------ 33653/2060292. ------ 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 (^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(a (^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 33654/2060319. ------ 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. ------ 33655/2060436. ------ 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. ------ 33656/2060463. ------ 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))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(^x1.x1)))) 9. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 10. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 33657/2060490. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((a (a a))(^x.a))) REDUCED to normal form. ------ 33658/2060517. ------ 1. ==[ start ]==> ((a (a b))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a b))(((^x.x) 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. ------ 33659/2060526. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)(a (a a)))) 3. ==[ beta ]==> ((^y.b)((^z.a)(a (a a)))) 4. ==[ alpha ]==> ((^x.b)((^y.a)(a (a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 33660/2060688. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 33661/2060697. ------ 1. ==[ start ]==> (((a b) a)(c (a (a a)))) REDUCED to normal form. ------ 33662/2060715. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 33663/2060724. ------ 1. ==[ start ]==> (((a a)(^a.b))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.b))(b (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.b))(b (^y.y))) REDUCED to normal form. ------ 33664/2060778. ------ 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.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. ------ 33665/2060805. ------ 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. ------ 33666/2060832. ------ 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.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1) a)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> ((^y.a)(((^z.z) a)((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.a)(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 33667/2060859. ------ 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. ------ 33668/2060877. ------ 1. ==[ start ]==> (((^a.b)(a a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(b (^y.(^z.z)))) 3. ==[ beta ]==> (b (b (^y.(^z.z)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 33669/2060886. ------ 1. ==[ start ]==> (((a b)(^a.a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(^x.x))((a a)(^z.z))) 4. ==[ alpha ]==> (((a b)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 33670/2060904. ------ 1. ==[ start ]==> ((a (^b.(a a)))(a (^c.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.a))) REDUCED to normal form. ------ 33671/2060922. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x)(^y.y))(^z.z))) 3. ==[ beta ]==> (((a a)(a b))((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a a)(a b))((^x.x)(^y.y))) 5. ==[ beta ]==> (((a a)(a b))(^y.y)) 6. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 33672/2060949. ------ 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. ------ 33673/2060976. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.a))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.a))) 7. ==[ beta ]==> ((a (^x.x))(a (^z.a))) 8. ==[ alpha ]==> ((a (^x.x))(a (^y.a))) REDUCED to normal form. ------ 33674/2061003. ------ 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. ------ 33675/2061030. ------ 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. ------ 33676/2061057. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((^z.z) a)) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.y) a)) 5. ==[ beta ]==> ((((a a) a)(a (^x.x))) a) REDUCED to normal form. ------ 33677/2061084. ------ 1. ==[ start ]==> (((a b)(a a))((a (a a)) b)) REDUCED to normal form. ------ 33678/2061120. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.a)(^b.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. ------ 33679/2061147. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 33680/2061282. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b (^x1.(x1 x1)))) 3. ==[ beta ]==> (b (b (^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (b (^x.(x x)))) REDUCED to normal form. ------ 33681/2061291. ------ 1. ==[ start ]==> (((a b) b)((a a)(a (a a)))) REDUCED to normal form. ------ 33682/2061336. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(z z))(a a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))(a a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(a a))) 5. ==[ beta ]==> ((a a)((^y.(y y))(a a))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(a a))) 7. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 33683/2061363. ------ 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))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 33684/2061372. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(c c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(c c)) REDUCED to normal form. ------ 33685/2061417. ------ 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 ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.x1)(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. ------ 33686/2061480. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(c (a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(c (a (^y.y)))) REDUCED to normal form. ------ 33687/2061498. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(^a.a))(^b.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. ------ 33688/2061507. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b ((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(b a)) REDUCED to normal form. ------ 33689/2061534. ------ 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)))) REDUCED to normal form. ------ 33690/2061570. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.a) b)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.a) b)) 3. ==[ beta ]==> (((a a)(a a))((^y.a) b)) 4. ==[ alpha ]==> (((a a)(a a))((^x.a) b)) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 33691/2061597. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 33692/2061651. ------ 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)(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y) a)(^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. ------ 33693/2061678. ------ 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. ------ 33694/2061705. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a a)(^y.a))) 3. ==[ beta ]==> ((((a a) a) a)((a a)(^y.a))) 4. ==[ alpha ]==> ((((a a) a) a)((a a)(^x.a))) REDUCED to normal form. ------ 33695/2061723. ------ 1. ==[ start ]==> (((^a.b) c)(a d)) 2. ==[ alpha ]==> (((^x.b) c)(a d)) 3. ==[ beta ]==> (b (a d)) REDUCED to normal form. ------ 33696/2061732. ------ 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 (^x.x)))(a a)) REDUCED to normal form. ------ 33697/2061759. ------ 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. ------ 33698/2061822. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(c (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(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. ------ 33699/2061957. ------ 1. ==[ start ]==> (((^a.b)(^b.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 (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 33700/2061966. ------ 1. ==[ start ]==> (((a b) c)(b (a a))) REDUCED to normal form. ------ 33701/2061993. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(a (a (^y.y)))) 3. ==[ beta ]==> (((a a) b)(a (a (^y.y)))) 4. ==[ alpha ]==> (((a a) b)(a (a (^x.x)))) REDUCED to normal form. ------ 33702/2062020. ------ 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. ------ 33703/2062038. ------ 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. ------ 33704/2062065. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.x1)(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 5. ==[ beta ]==> ((^y.y)(a a)) 6. ==[ alpha ]==> ((^x.x)(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 33705/2062074. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(a b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a b)) REDUCED to normal form. ------ 33706/2062101. ------ 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))) REDUCED to normal form. ------ 33707/2062119. ------ 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 a) a))(a (^y.y))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(a (^x.x))) REDUCED to normal form. ------ 33708/2065761. ------ 1. ==[ start ]==> (((^a.a) b)(^b.((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)))) REDUCED to normal form. ------ 33709/2065983. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(b ((^z.z)(a a)))) 3. ==[ eta ]==> ((^y.y)(b ((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y)(a a)))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 33710/2066463. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^y.(a a))) REDUCED to normal form. ------ 33711/2066478. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(a a)) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 33712/2067075. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.b))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.b))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.b))) 5. ==[ beta ]==> (^y.(^z.b)) 6. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 33713/2067273. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.(^x1.z))) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.(^x1.z))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.y))) REDUCED to normal form. ------ 33714/2068353. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 33715/2068461. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(a (a a)))) REDUCED to normal form. ------ 33716/2068569. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 33717/2068758. ------ 1. ==[ start ]==> (((^a.b) c)(^b.((^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 (^x.a)) REDUCED to normal form. ------ 33718/2068818. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(b (a (^z.z)))) 3. ==[ beta ]==> (((b (a (^z.z)))(b (a (^z.z))))(^y.y)) 4. ==[ alpha ]==> (((b (a (^x.x)))(b (a (^y.y))))(^z.z)) REDUCED to normal form. ------ 33719/2069028. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^b.(^a.(^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. ------ 33720/2069073. ------ 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. ------ 33721/2069109. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^b.(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(a a))) REDUCED to normal form. ------ 33722/2069136. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(^x1.x1))) 3. ==[ beta ]==> ((a (^y.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 33723/2069154. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^b.a)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.a)) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.a)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.a)) REDUCED to normal form. ------ 33724/2069202. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(y y))((a a) a))) 3. ==[ beta ]==> (a ((^y.(y y))((a a) a))) 4. ==[ alpha ]==> (a ((^x.(x x))((a a) a))) 5. ==[ beta ]==> (a (((a a) a)((a a) a))) REDUCED to normal form. ------ 33725/2069220. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.b))) 5. ==[ beta ]==> (((^y.y) a)(^z.b)) 6. ==[ alpha ]==> (((^x.x) a)(^y.b)) 7. ==[ beta ]==> (a (^y.b)) 8. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 33726/2069229. ------ 1. ==[ start ]==> (((a a) a)((^b.a)(a b))) 2. ==[ alpha ]==> (((a a) a)((^x.a)(a b))) 3. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 33727/2069247. ------ 1. ==[ start ]==> (((^a.a)(a a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((a (^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)))) REDUCED to normal form. ------ 33728/2069256. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 33729/2069283. ------ 1. ==[ start ]==> (((^a.a) b)((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> (b ((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> (b ((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 33730/2069328. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a)) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 33731/2069337. ------ 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 a)) REDUCED to normal form. ------ 33732/2069355. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((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. ------ 33733/2069364. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.b)(^z.a))) 3. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 33734/2069418. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.(^a.a))(^b.(^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. ------ 33735/2069472. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.a)(^x1.b))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.b))) 5. ==[ beta ]==> ((^y.a)(^z.b)) 6. ==[ alpha ]==> ((^x.a)(^y.b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 33736/2069508. ------ 1. ==[ start ]==> ((a ((^a.a) a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(b ((^y.y)(a a)))) 3. ==[ beta ]==> ((a a)(b ((^y.y)(a a)))) 4. ==[ alpha ]==> ((a a)(b ((^x.x)(a a)))) 5. ==[ beta ]==> ((a a)(b (a a))) REDUCED to normal form. ------ 33737/2069598. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.b) c)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.b) c)) 3. ==[ beta ]==> (((^y.y) a)((^z.b) c)) 4. ==[ alpha ]==> (((^x.x) a)((^y.b) c)) 5. ==[ beta ]==> (a ((^y.b) c)) 6. ==[ alpha ]==> (a ((^x.b) c)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 33738/2069697. ------ 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) a)(((^y.y) a)((a a) a))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a)((a a) a))) 5. ==[ beta ]==> (((a a) a)(a ((a a) a))) REDUCED to normal form. ------ 33739/2069724. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(a b))) REDUCED to normal form. ------ 33740/2069751. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a a))((a a)((^y.y)(a a)))) 4. ==[ alpha ]==> ((a (a a))((a a)((^x.x)(a a)))) 5. ==[ beta ]==> ((a (a a))((a a)(a a))) REDUCED to normal form. ------ 33741/2069787. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y)(a a))(^z.z))) 5. ==[ beta ]==> ((((^y.y)(a a))(^z.z))(((^y.y)(a a))(^z.z))) 6. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((^z.z)(a a))(^x1.x1))) 7. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(a a))(^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))(^z.z))) 9. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.z))) 10. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 33742/2069814. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 33743/2069850. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) 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. ------ 33744/2069868. ------ 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))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 x1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z z))) 9. ==[ beta ]==> ((^y.y)(^z.(z z))) 10. ==[ alpha ]==> ((^x.x)(^y.(y y))) 11. ==[ beta ]==> (^y.(y y)) 12. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 33745/2069877. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a (a a)) a)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 33746/2069895. ------ 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. ------ 33747/2069904. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(^z.z))) 9. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 10. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 33748/2069931. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 33749/2069958. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(^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. ------ 33750/2069976. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 33751/2069985. ------ 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))(^x.x))((^z.z)(a a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(a a))) 5. ==[ beta ]==> (((a (a a))(^x.x))(a a)) REDUCED to normal form. ------ 33752/2070003. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a)) a)) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 33753/2070093. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.(^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. ------ 33754/2070219. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(a a)) a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(a a)) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a)) a)) 5. ==[ beta ]==> ((^y.y)((^y1.(a a)) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(a a)) a)) 7. ==[ beta ]==> ((^y.(a a)) a) 8. ==[ alpha ]==> ((^x.(a a)) a) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 33755/2070390. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(b (^x1.b))) 3. ==[ beta ]==> (((^y.y)(^z.z))(b (^x1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.b))) 5. ==[ beta ]==> ((^y.y)(b (^z.b))) 6. ==[ alpha ]==> ((^x.x)(b (^y.b))) 7. ==[ beta ]==> (b (^y.b)) 8. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 33756/2070597. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(^y1.b))) 3. ==[ beta ]==> ((^y.y)((a a)(^y1.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. ------ 33757/2070651. ------ 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)(^y.a))(((a a) a) b)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((a a) a) b)) 5. ==[ beta ]==> (a (((a a) a) b)) REDUCED to normal form. ------ 33758/2070687. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.(^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. ------ 33759/2070714. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(x x))(^y.(y y)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(y y))(^y.(y y)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 33760/2070768. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 33761/2070795. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.z)(^x1.b))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.z)(^x1.b))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(^z.b))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.b)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.b)) REDUCED to normal form. ------ 33762/2070813. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.b) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.b) a)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.b) a)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.b) a)) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.b) a)) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.b) a)) 7. ==[ beta ]==> ((a a)((^y.b) a)) 8. ==[ alpha ]==> ((a a)((^x.b) a)) 9. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 33763/2070912. ------ 1. ==[ start ]==> (((a a)((a a) a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(((^x.x) a)(a (a a)))) 3. ==[ beta ]==> (((a a)((a a) a))(a (a (a a)))) REDUCED to normal form. ------ 33764/2070939. ------ 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))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((a (^z.z))(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 33765/2070966. ------ 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. ------ 33766/2071065. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (b ((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> (b ((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> (b (((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> (b (((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> (b (a ((^y.y) a))) 8. ==[ alpha ]==> (b (a ((^x.x) a))) 9. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 33767/2071083. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.b)(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.b)(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 33768/2071164. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a) a) a)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((a a) a) a)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a) a) a)) IRREDUCIBLE: cycle. ------ 33769/2071227. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(x x))(^y.a))) 3. ==[ beta ]==> ((((a a) a) b)((^y.a)(^y.a))) 4. ==[ alpha ]==> ((((a a) a) b)((^x.a)(^y.a))) 5. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 33770/2071254. ------ 1. ==[ start ]==> (((a b) a)((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b) a)((^x.a)(^y.(y y)))) 3. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 33771/2071281. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 33772/2071353. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.z)) b)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y)) b)) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 33773/2071443. ------ 1. ==[ start ]==> (((a b)(^a.a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 33774/2071632. ------ 1. ==[ start ]==> (((^a.b) b)((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 33775/2071677. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z) a) c)) 3. ==[ beta ]==> ((^y.(a a))(((^z.z) a) c)) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y) a) c)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 33776/2071758. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1)) a)) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1)) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 7. ==[ beta ]==> ((^y.(^z.z)) a) 8. ==[ alpha ]==> ((^x.(^y.y)) a) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 33777/2071848. ------ 1. ==[ start ]==> (((a b) b)(b (^a.(a a)))) 2. ==[ alpha ]==> (((a b) b)(b (^x.(x x)))) REDUCED to normal form. ------ 33778/2071875. ------ 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. ------ 33779/2071893. ------ 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. ------ 33780/2071902. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(y y))(a a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((a a)(a a))) REDUCED to normal form. ------ 33781/2071920. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^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. ------ 33782/2071929. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 33783/2071974. ------ 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 x1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a a)(^y1.(y1 y1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a a)(^y1.(y1 y1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a)(^x1.(x1 x1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a a)(^x1.(x1 x1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.(z z)))) 9. ==[ beta ]==> ((^y.y)((a a)(^z.(z z)))) 10. ==[ alpha ]==> ((^x.x)((a a)(^y.(y y)))) 11. ==[ beta ]==> ((a a)(^y.(y y))) 12. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 33784/2071983. ------ 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. ------ 33785/2072010. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(x1 x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(z z))(^x1.x1))) 5. ==[ beta ]==> ((^y.(y y))((^z.(z z))(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(^z.z))) 7. ==[ beta ]==> (((^y.(y y))(^z.z))((^y.(y y))(^z.z))) 8. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(z z))(^x1.x1))) 9. ==[ beta ]==> (((^y.y)(^y.y))((^z.(z z))(^x1.x1))) 10. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.x1))) 11. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.x1))) 12. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 13. ==[ beta ]==> ((^y.(y y))(^z.z)) 14. ==[ alpha ]==> ((^x.(x x))(^y.y)) 15. ==[ beta ]==> ((^y.y)(^y.y)) 16. ==[ alpha ]==> ((^x.x)(^y.y)) 17. ==[ beta ]==> (^y.y) 18. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 33786/2072037. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.a)(^a.(^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. ------ 33787/2072055. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a (^z.z)) c)) 3. ==[ beta ]==> (b ((a (^z.z)) c)) 4. ==[ alpha ]==> (b ((a (^x.x)) c)) REDUCED to normal form. ------ 33788/2072064. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.(^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. ------ 33789/2072091. ------ 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)(^x.x))(^z.(z z))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 33790/2072127. ------ 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)(a a))(((^y.y) a)(a a))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(a a))) 5. ==[ beta ]==> (((a a)(a a))(a (a a))) REDUCED to normal form. ------ 33791/2072154. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 33792/2072181. ------ 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))) 5. ==[ beta ]==> ((a ((a a) a))((a a) a)) REDUCED to normal form. ------ 33793/2072262. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(b c)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(b c)) 3. ==[ beta ]==> ((((a a) a) a)(b c)) REDUCED to normal form. ------ 33794/2072280. ------ 1. ==[ start ]==> (((^a.b) c)((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 33795/2072343. ------ 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. ------ 33796/2072379. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.a) a)) 3. ==[ beta ]==> ((^y.y)((^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. ------ 33797/2072514. ------ 1. ==[ start ]==> (((^a.b)(^b.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)) REDUCED to normal form. ------ 33798/2072523. ------ 1. ==[ start ]==> (((a b) c)((^a.(^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. ------ 33799/2072550. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) b)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 33800/2072577. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(b (^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(b (^y.y))) REDUCED to normal form. ------ 33801/2072595. ------ 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)(^x.x)) b) REDUCED to normal form. ------ 33802/2072622. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((a a)(^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. ------ 33803/2072631. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a a)) REDUCED to normal form. ------ 33804/2072658. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.b))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.z))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 33805/2072676. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.y) a)) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y) a)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x) a)) 5. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 33806/2072702. ------ 1. ==[ start ]==> (^a.((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 33807/2072703. ------ 1. ==[ start ]==> (a ((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (a ((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 33808/2074983. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.((^z.((^x1.x1)(^y1.y1)))(^z.((^x1.x1)(^y1.y1))))) 4. ==[ alpha ]==> (^x.((^y.((^z.z)(^x1.x1)))(^y1.((^z1.z1)(^x2.x2))))) 5. ==[ beta ]==> (^x.((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 33809/2076234. ------ 1. ==[ start ]==> ((^a.a)((^b.(^a.a))((^a.a)(^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. ------ 33810/2076261. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(y y))((a a) a))) 3. ==[ beta ]==> (((^y.(y y))((a a) a))((^y.(y y))((a a) a))) 4. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(y y))((a a) a))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(y y))((a a) a))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(x x))((a a) a))) 7. ==[ beta ]==> ((((a a) a)((a a) a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 33811/2076288. ------ 1. ==[ start ]==> ((^a.b)((^b.a)(a b))) 2. ==[ alpha ]==> ((^x.b)((^y.a)(a b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 33812/2076336. ------ 1. ==[ start ]==> (((^a.a) b)(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 33813/2076345. ------ 1. ==[ start ]==> (((a a)(a a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 33814/2076558. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ eta ]==> ((^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. ------ 33815/2076597. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((y1 y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^y1.((y1 y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y)(^z.z)))) 5. ==[ beta ]==> (^y.((y y)(^z.z))) 6. ==[ alpha ]==> (^x.((x x)(^y.y))) REDUCED to normal form. ------ 33816/2076729. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 33817/2077179. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(x1 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. ------ 33818/2077272. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.((^y1.y1)(x1 x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1)(y1 y1)))) 5. ==[ beta ]==> ((^y.y)(^y1.((^z1.z1)(y1 y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(y y)))) 7. ==[ beta ]==> (^y.((^z.z)(y y))) 8. ==[ alpha ]==> (^x.((^y.y)(x x))) 9. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 33819/2077479. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(y y)))) REDUCED to normal form. ------ 33820/2077611. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((^y.a)((^z.z)(^x1.x1)))((^y.a)((^z.z)(^x1.x1))))((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.a)((^y.y)(^z.z)))((^x1.a)((^y1.y1)(^z1.z1))))((^x2.a)((^y2.y2)(^z2.z2)))) 5. ==[ beta ]==> ((a ((^x1.a)((^y1.y1)(^z1.z1))))((^x2.a)((^y2.y2)(^z2.z2)))) 6. ==[ alpha ]==> ((a ((^x.a)((^y.y)(^z.z))))((^x1.a)((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> ((a a)((^x1.a)((^y1.y1)(^z1.z1)))) 8. ==[ alpha ]==> ((a a)((^x.a)((^y.y)(^z.z)))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 33821/2077866. ------ 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) a)((^y.y) a))(^z.(z b))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(z b))) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.(z b))) 6. ==[ alpha ]==> ((a ((^x.x) a))(^y.(y b))) 7. ==[ beta ]==> ((a a)(^y.(y b))) 8. ==[ alpha ]==> ((a a)(^x.(x b))) REDUCED to normal form. ------ 33822/2077944. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (a a))((^z.z) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 33823/2078046. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(^y.(^z.b))) 3. ==[ beta ]==> (((a (a a)) a)(^y.(^z.b))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.b))) REDUCED to normal form. ------ 33824/2078124. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (((^y.(y y))((^z.z) a)) b) 4. ==[ alpha ]==> (((^x.(x x))((^y.y) a)) b) 5. ==[ beta ]==> ((((^y.y) a)((^y.y) a)) b) 6. ==[ alpha ]==> ((((^x.x) a)((^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. ------ 33825/2078511. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^y.(((a a)((^z.z)(^x1.x1)))((a a)((^z.z)(^x1.x1))))) 4. ==[ alpha ]==> (^x.(((a a)((^y.y)(^z.z)))((a a)((^x1.x1)(^y1.y1))))) 5. ==[ beta ]==> (^x.(((a a)(^z.z))((a a)((^x1.x1)(^y1.y1))))) 6. ==[ alpha ]==> (^x.(((a a)(^y.y))((a a)((^z.z)(^x1.x1))))) 7. ==[ beta ]==> (^x.(((a a)(^y.y))((a a)(^x1.x1)))) 8. ==[ alpha ]==> (^x.(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 33826/2078514. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(a a)))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 33827/2078532. ------ 1. ==[ start ]==> (((a a)(a b))(^a.(^c.a))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(^y.x))) REDUCED to normal form. ------ 33828/2078667. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 33829/2078718. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.(z z))(^x1.(^y1.y1)))((^z.(z z))(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.(y y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2))))) 5. ==[ beta ]==> (((^y.(y y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 9. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.(^x2.x2)))) 10. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 11. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 12. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 13. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 14. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 15. ==[ beta ]==> (^y.y) 16. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 33830/2078811. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)(^y1.((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 33831/2079036. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 33832/2079261. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 33833/2079333. ------ 1. ==[ start ]==> (((^a.b) c)(^c.(^b.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. ------ 33834/2079342. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^y.a)) REDUCED to normal form. ------ 33835/2079393. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(^a.a))(^a.(^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. ------ 33836/2079432. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.(^y.y))(^z.(a a)))(^y1.y1)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^x1.x1)) 5. ==[ beta ]==> ((^y.y)(^x1.x1)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 33837/2079567. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^a.c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.c)) 3. ==[ beta ]==> (b (^z.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 33838/2079603. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^c.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. ------ 33839/2079684. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^c.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.x1))) REDUCED to normal form. ------ 33840/2079711. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^c.a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.a)) 3. ==[ beta ]==> ((a (^y.b))(^z.a)) 4. ==[ alpha ]==> ((a (^x.b))(^y.a)) REDUCED to normal form. ------ 33841/2079729. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(x x))((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. ------ 33842/2079768. ------ 1. ==[ start ]==> ((a a)((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 33843/2079795. ------ 1. ==[ start ]==> ((a (a a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((a (a a))((^x.(x x))((a a) a))) 3. ==[ beta ]==> ((a (a a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 33844/2079813. ------ 1. ==[ start ]==> (((a a) a)(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a a) a)(((^x.x) a)(^y.b))) 3. ==[ beta ]==> (((a a) a)(a (^y.b))) 4. ==[ alpha ]==> (((a a) a)(a (^x.b))) REDUCED to normal form. ------ 33845/2079822. ------ 1. ==[ start ]==> ((a b)((^b.a)(a b))) 2. ==[ alpha ]==> ((a b)((^x.a)(a b))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 33846/2079840. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 33847/2079867. ------ 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. ------ 33848/2079876. ------ 1. ==[ start ]==> (((a a)(a a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.x)((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. ------ 33849/2079894. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((a a)(^z.z)) a)) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z)) a)) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) a)) 5. ==[ beta ]==> (((a a)(^y.y)) a) 6. ==[ alpha ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 33850/2079921. ------ 1. ==[ start ]==> (((a a) b)(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a a) b)(((^x.x)(a a)) b)) 3. ==[ beta ]==> (((a a) b)((a a) b)) REDUCED to normal form. ------ 33851/2079948. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a b) c)) 2. ==[ alpha ]==> (((a (^x.x)) a)((a b) c)) REDUCED to normal form. ------ 33852/2080065. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a)(^z.b))) 3. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 33853/2080092. ------ 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 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. ------ 33854/2080101. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(b ((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.a)(b ((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.a)(b ((^y.y)(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 33855/2080128. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a ((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(a ((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(a ((a a)(^y.y)))) 5. ==[ beta ]==> (a ((a a)(^y.y))) 6. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 33856/2080137. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 33857/2080164. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(a a)) b)) 3. ==[ beta ]==> ((a a)((^y.(a a)) b)) 4. ==[ alpha ]==> ((a a)((^x.(a a)) b)) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 33858/2080182. ------ 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. ------ 33859/2080191. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.b) c)) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.b) c)) 3. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 33860/2080209. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 33861/2080263. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (^x.(x x)))((a (a a))(^z.z))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (a a))(^y.y))) REDUCED to normal form. ------ 33862/2080335. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(b (^y.(a a)))) 3. ==[ beta ]==> ((a (a a))(b (^y.(a a)))) 4. ==[ alpha ]==> ((a (a a))(b (^x.(a a)))) REDUCED to normal form. ------ 33863/2080434. ------ 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. ------ 33864/2080461. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(^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)))) 5. ==[ beta ]==> (((a (a a)) a)(^y.(y y))) 6. ==[ alpha ]==> (((a (a a)) a)(^x.(x x))) REDUCED to normal form. ------ 33865/2080488. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 33866/2080515. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a (^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(a (^z.a))) REDUCED to normal form. ------ 33867/2080542. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.b))) REDUCED to normal form. ------ 33868/2080569. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a a)(^y.(a a)))) REDUCED to normal form. ------ 33869/2080605. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(a a))(^y.y))) 3. ==[ beta ]==> (((a a)(a (a a)))(a a)) REDUCED to normal form. ------ 33870/2080632. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 33871/2080686. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 33872/2080713. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 33873/2080803. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a ((^y1.y1)(a a)))) 5. ==[ beta ]==> ((^y.y)(a ((^y1.y1)(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. ------ 33874/2080812. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(a a)) a)) 3. ==[ beta ]==> (((a (a a)) b)(a a)) REDUCED to normal form. ------ 33875/2080839. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.b) b)) 3. ==[ beta ]==> (((^y.y) a)((^z.b) b)) 4. ==[ alpha ]==> (((^x.x) a)((^y.b) b)) 5. ==[ beta ]==> (a ((^y.b) b)) 6. ==[ alpha ]==> (a ((^x.b) b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 33876/2080857. ------ 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. ------ 33877/2080866. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.a) c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a) c)) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 33878/2080884. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) a)) 7. ==[ beta ]==> ((^y.y)((^z.z) a)) 8. ==[ alpha ]==> ((^x.x)((^y.y) a)) 9. ==[ beta ]==> ((^y.y) a) 10. ==[ alpha ]==> ((^x.x) a) 11. ==[ beta ]==> a REDUCED to normal form. ------ 33879/2080938. ------ 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)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a ((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a ((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (^x1.x1))) 8. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.z))) REDUCED to normal form. ------ 33880/2081010. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(a (^z.(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(a (^z.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(a a)))) REDUCED to normal form. ------ 33881/2081037. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.b)(a a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) b) REDUCED to normal form. ------ 33882/2081091. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 33883/2081118. ------ 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. ------ 33884/2081145. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 33885/2081271. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(^x1.x1)) c)) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(^z.z)) c)) 5. ==[ beta ]==> (b (((^y.y)(^z.z)) c)) 6. ==[ alpha ]==> (b (((^x.x)(^y.y)) c)) 7. ==[ beta ]==> (b ((^y.y) c)) 8. ==[ alpha ]==> (b ((^x.x) c)) 9. ==[ beta ]==> (b c) REDUCED to normal form. ------ 33886/2081397. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(a (a b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(a (a b))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(a (a b))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(a (a b))) 5. ==[ beta ]==> ((a ((^y.y) a))(a (a b))) 6. ==[ alpha ]==> ((a ((^x.x) a))(a (a b))) 7. ==[ beta ]==> ((a a)(a (a b))) REDUCED to normal form. ------ 33887/2081406. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.b) a)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.b) a)) 3. ==[ beta ]==> (((a (a a))(^x.a)) b) REDUCED to normal form. ------ 33888/2081460. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 33889/2081478. ------ 1. ==[ start ]==> ((a (^a.b))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.b))((a (a a))((^y.y) a))) 3. ==[ beta ]==> ((a (^x.b))((a (a a)) a)) REDUCED to normal form. ------ 33890/2081550. ------ 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. ------ 33891/2081577. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(a (^a.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 33892/2081631. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 33893/2081649. ------ 1. ==[ start ]==> (((^a.b) a)((a (a a))(^b.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. ------ 33894/2081658. ------ 1. ==[ start ]==> ((a (a b))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (a b))((^x.(x x))((^y.y) a))) 3. ==[ beta ]==> ((a (a b))(((^y.y) a)((^y.y) a))) 4. ==[ alpha ]==> ((a (a b))(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> ((a (a b))(a ((^y.y) a))) 6. ==[ alpha ]==> ((a (a b))(a ((^x.x) a))) 7. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 33895/2081811. ------ 1. ==[ start ]==> ((((a a) a) b)((a (a a)) c)) REDUCED to normal form. ------ 33896/2081856. ------ 1. ==[ start ]==> (((^a.a)(a b))(c (a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(c (a (a a)))) 3. ==[ beta ]==> ((a b)(c (a (a a)))) REDUCED to normal form. ------ 33897/2081883. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((^y.y)(^z.z))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 33898/2081919. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^c.a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a) a)) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 33899/2081937. ------ 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. ------ 33900/2081946. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(^z.z)) 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. ------ 33901/2081973. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(x1 x1)) c)) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(x1 x1)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z)) c)) 5. ==[ beta ]==> ((^y.a)((^z.(z z)) c)) 6. ==[ alpha ]==> ((^x.a)((^y.(y y)) c)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 33902/2082018. ------ 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 ((a (^y.y))(a (a a)))) 4. ==[ alpha ]==> (b ((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 33903/2082045. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (^x.(a a)))((a a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a a)(^y.y))) REDUCED to normal form. ------ 33904/2082063. ------ 1. ==[ start ]==> (((a a)(a b))(a (^c.a))) 2. ==[ alpha ]==> (((a a)(a b))(a (^x.a))) REDUCED to normal form. ------ 33905/2082090. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(^z.z))(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. ------ 33906/2082117. ------ 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 x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(x1 x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(z z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(z z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(a (^z.z)))) 7. ==[ beta ]==> ((a (^x.x))((a (^z.z))(a (^z.z)))) 8. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 33907/2082144. ------ 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. ------ 33908/2082171. ------ 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))(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. ------ 33909/2082198. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.y)(^z.z))) 5. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 33910/2082216. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b) 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 ((^y.y) a)) 6. ==[ alpha ]==> (b ((^x.x) a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 33911/2082225. ------ 1. ==[ start ]==> (((a b)(a a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 33912/2082252. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^y.(^z.z)))) 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. ------ 33913/2082288. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(c ((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(c ((^x1.x1) 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. ------ 33914/2082342. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a ((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(a ((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(a ((^y.y)(^z.z)))) 7. ==[ beta ]==> (a ((^y.y)(^z.z))) 8. ==[ alpha ]==> (a ((^x.x)(^y.y))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 33915/2082423. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (b ((a (^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (b ((a (^x.x))((^y.y) a))) 5. ==[ beta ]==> (b ((a (^x.x)) a)) REDUCED to normal form. ------ 33916/2082486. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (a a))(^y.y))) REDUCED to normal form. ------ 33917/2082513. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 33918/2082567. ------ 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 z)))) REDUCED to normal form. ------ 33919/2082594. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a (a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a (a a)) a)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (a a)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (a a)) a)) 5. ==[ beta ]==> ((^y.(y y))((a (a a)) a)) 6. ==[ alpha ]==> ((^x.(x x))((a (a a)) a)) 7. ==[ beta ]==> (((a (a a)) a)((a (a a)) a)) REDUCED to normal form. ------ 33920/2082621. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y) a) b)) 3. ==[ beta ]==> ((((a a) a)(^x.a))(a b)) REDUCED to normal form. ------ 33921/2082639. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(c (a (^z.z)))) 3. ==[ beta ]==> (b (c (a (^z.z)))) 4. ==[ alpha ]==> (b (c (a (^x.x)))) REDUCED to normal form. ------ 33922/2082648. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a (^a.a)) c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z)) c)) REDUCED to normal form. ------ 33923/2082738. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(c (^y.(^z.z)))) REDUCED to normal form. ------ 33924/2082765. ------ 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. ------ 33925/2082792. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(a (^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(a (^z.(z z)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 33926/2082819. ------ 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) REDUCED to normal form. ------ 33927/2082846. ------ 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)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((((a a) a) a)(^y.y)) 6. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 33928/2082864. ------ 1. ==[ start ]==> (((^a.b) c)((a a)(^b.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. ------ 33929/2082873. ------ 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 (^x.x)))((^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. ------ 33930/2082900. ------ 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. ------ 33931/2082927. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 33932/2082963. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(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. ------ 33933/2083098. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(a c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(a c)) 3. ==[ beta ]==> (b (a c)) REDUCED to normal form. ------ 33934/2083107. ------ 1. ==[ start ]==> (((a b) c)((a (^a.a)) a)) 2. ==[ alpha ]==> (((a b) c)((a (^x.x)) a)) REDUCED to normal form. ------ 33935/2083134. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a a) b)) 3. ==[ beta ]==> (((a a) b)((a a) b)) REDUCED to normal form. ------ 33936/2083161. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z)) a)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 33937/2083179. ------ 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))) REDUCED to normal form. ------ 33938/2083206. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(b a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(b a)) 3. ==[ beta ]==> ((^y.y)(b a)) 4. ==[ alpha ]==> ((^x.x)(b a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 33939/2083215. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a a)(^z.z))) REDUCED to normal form. ------ 33940/2083242. ------ 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)) REDUCED to normal form. ------ 33941/2083260. ------ 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))) REDUCED to normal form. ------ 33942/2083295. ------ 1. ==[ start ]==> (^a.(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (^x.(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^x.((^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. ------ 33943/2083296. ------ 1. ==[ start ]==> (a (((^a.a)(^a.a))(^b.(^a.a)))) 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)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 33944/2084118. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 33945/2086830. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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. ------ 33946/2086836. ------ 1. ==[ start ]==> ((^a.a)(((^a.a)(^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. ------ 33947/2086845. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 33948/2086890. ------ 1. ==[ start ]==> ((^a.b)(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.b)(((^y.y) a)(^z.b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 33949/2086926. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 33950/2086971. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((a a)(^z.z)) a)) 3. ==[ beta ]==> ((((a a)(^z.z)) a)(^y.y)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 33951/2087088. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.(^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. ------ 33952/2087199. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 33953/2087208. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 33954/2087655. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)((^y1.y1)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 33955/2087658. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 33956/2087874. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(a a)))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.(a a)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(a a)))) 7. ==[ beta ]==> (^y.(^z.(a a))) 8. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 33957/2087883. ------ 1. ==[ start ]==> (((a (a a)) b)(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.((^y.y)(x x)))) 3. ==[ beta ]==> (((a (a a)) b)(^x.(x x))) REDUCED to normal form. ------ 33958/2088213. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a) a)(^b.(^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. ------ 33959/2088468. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.(^x1.z))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.(^x1.z))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(^x1.z))) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.(^x1.z))) 6. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.y))) 7. ==[ beta ]==> ((a a)(^y.(^z.y))) 8. ==[ alpha ]==> ((a a)(^x.(^y.x))) REDUCED to normal form. ------ 33960/2088477. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^a.(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(y b))) REDUCED to normal form. ------ 33961/2088726. ------ 1. ==[ start ]==> ((^a.(a b))((a (a a))(^b.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. ------ 33962/2088819. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.((a a) a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.((a a) a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.((a a) a))) IRREDUCIBLE: cycle. ------ 33963/2088990. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 33964/2089113. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.((b (^z.(^x1.x1)))(b (^z.(^x1.x1))))) 4. ==[ alpha ]==> (^x.((b (^y.(^z.z)))(b (^x1.(^y1.y1))))) REDUCED to normal form. ------ 33965/2089320. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (a a)) b)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (a a)) b)) 3. ==[ beta ]==> ((^y.y)(((a (a a)) b)((a (a a)) b))) 4. ==[ alpha ]==> ((^x.x)(((a (a a)) b)((a (a a)) b))) 5. ==[ beta ]==> (((a (a a)) b)((a (a a)) b)) REDUCED to normal form. ------ 33966/2089413. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 33967/2089548. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(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. ------ 33968/2089935. ------ 1. ==[ start ]==> (((^a.b) c)(^d.c)) 2. ==[ alpha ]==> (((^x.b) c)(^y.c)) 3. ==[ beta ]==> (b (^y.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 33969/2089944. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^c.(^b.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.a))) REDUCED to normal form. ------ 33970/2089995. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a (^z.z)) b)) 3. ==[ beta ]==> ((((a (^z.z)) b)((a (^z.z)) b))(^y.y)) 4. ==[ alpha ]==> ((((a (^x.x)) b)((a (^y.y)) b))(^z.z)) REDUCED to normal form. ------ 33971/2090034. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^b.(^b.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. ------ 33972/2090169. ------ 1. ==[ start ]==> (((^a.b)(^b.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)))) REDUCED to normal form. ------ 33973/2090178. ------ 1. ==[ start ]==> (((a b) c)(^a.c)) 2. ==[ alpha ]==> (((a b) c)(^x.c)) REDUCED to normal form. ------ 33974/2090232. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(y (^z.z)))) REDUCED to normal form. ------ 33975/2090277. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^a.(^a.(^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. ------ 33976/2090313. ------ 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)) REDUCED to normal form. ------ 33977/2090331. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.(^z.z))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 33978/2090367. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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. ------ 33979/2090379. ------ 1. ==[ start ]==> ((a a)(((^a.a)(^a.a))(^b.(^a.a)))) 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)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 33980/2090388. ------ 1. ==[ start ]==> ((a (^a.a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 33981/2090415. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((a a) a))) 5. ==[ beta ]==> ((^y.(y y))((a a) a)) 6. ==[ alpha ]==> ((^x.(x x))((a a) a)) 7. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 33982/2090433. ------ 1. ==[ start ]==> ((a b)(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((a b)(((^x.x) a)(^y.b))) 3. ==[ beta ]==> ((a b)(a (^y.b))) 4. ==[ alpha ]==> ((a b)(a (^x.b))) REDUCED to normal form. ------ 33983/2090442. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(a b))) 3. ==[ beta ]==> ((a a)((^y.a)(a b))) 4. ==[ alpha ]==> ((a a)((^x.a)(a b))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 33984/2090469. ------ 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)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 33985/2090514. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((a (a (^x.x)))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 33986/2090550. ------ 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 a) REDUCED to normal form. ------ 33987/2090577. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.b)(^b.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. ------ 33988/2090631. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(^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. ------ 33989/2090712. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 33990/2090748. ------ 1. ==[ start ]==> (((a (^a.a)) b)(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(a ((a a)(^y.y)))) REDUCED to normal form. ------ 33991/2090775. ------ 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. ------ 33992/2090802. ------ 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. ------ 33993/2090829. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a) a)) REDUCED to normal form. ------ 33994/2090856. ------ 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))(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(a (a a)))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)(a (a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(a (a a)))) 7. ==[ beta ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 33995/2090964. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 33996/2091009. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 33997/2091090. ------ 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. ------ 33998/2091117. ------ 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))((^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. ------ 33999/2091171. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 34000/2091198. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^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. ------ 34001/2091216. ------ 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. ------ 34002/2091243. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a b) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a b) b)) 3. ==[ beta ]==> (((a (^x.x)) a)((a b) b)) REDUCED to normal form. ------ 34003/2091333. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(a a))(^b.(^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. ------ 34004/2091360. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 34005/2091414. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.(a a)))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(a a)))) 7. ==[ beta ]==> ((^y.y)(^z.(a a))) 8. ==[ alpha ]==> ((^x.x)(^y.(a a))) 9. ==[ beta ]==> (^y.(a a)) 10. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 34006/2091423. ------ 1. ==[ start ]==> (((a (a a)) b)(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)(a ((^x.x)(a a)))) 3. ==[ beta ]==> (((a (a a)) b)(a (a a))) REDUCED to normal form. ------ 34007/2091450. ------ 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. ------ 34008/2091477. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 34009/2091504. ------ 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)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((^x1.x1) a)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z) a)) 7. ==[ beta ]==> (((a (^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 34010/2091531. ------ 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. ------ 34011/2091558. ------ 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)(^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. ------ 34012/2091585. ------ 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))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))((a a) a))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))((a a) a))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a) a))) 7. ==[ beta ]==> ((a (^y.y))((a a) a)) 8. ==[ alpha ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 34013/2091648. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a b)(^y.y))) REDUCED to normal form. ------ 34014/2091675. ------ 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. ------ 34015/2091702. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a (a a))(a (^x.x)))(^z.a)) 6. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.a)) REDUCED to normal form. ------ 34016/2091729. ------ 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. ------ 34017/2091756. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a) a)(^b.(^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. ------ 34018/2091792. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 34019/2091846. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.b)(^x1.x1))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.b)(^x1.x1))) 5. ==[ beta ]==> (a ((^z.b)(^x1.x1))) 6. ==[ alpha ]==> (a ((^x.b)(^y.y))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 34020/2091927. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> (((a a) a)((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 34021/2091954. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.a)(^b.(^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. ------ 34022/2091963. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(c ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(c (^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(c (^x1.x1))) REDUCED to normal form. ------ 34023/2091990. ------ 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. ------ 34024/2092008. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.z)(^x1.b))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.z)(^x1.b))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)(^x1.b))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.z)(^x1.b))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^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. ------ 34025/2092017. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(a (a b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(a (a b))) REDUCED to normal form. ------ 34026/2092044. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a) a)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a) a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 34027/2092071. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(a (^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. ------ 34028/2092215. ------ 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))) REDUCED to normal form. ------ 34029/2092242. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a) a)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 34030/2092269. ------ 1. ==[ start ]==> ((a (a b))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((a (a b))((a (a a))(^x.a))) REDUCED to normal form. ------ 34031/2092278. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.b)((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.b)((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 34032/2092359. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)((a a) a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.z)((a a) a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)((a a) a))) IRREDUCIBLE: cycle. ------ 34033/2092440. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (b ((^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. ------ 34034/2092467. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 34035/2092476. ------ 1. ==[ start ]==> (((a a)(^a.b))(c (a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(c (a (a a)))) REDUCED to normal form. ------ 34036/2092494. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 34037/2092530. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 34038/2092557. ------ 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. ------ 34039/2092584. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a (a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a (a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a (a a))(a (^z.z)))) 5. ==[ beta ]==> ((^y.a)((a (a a))(a (^z.z)))) 6. ==[ alpha ]==> ((^x.a)((a (a a))(a (^y.y)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 34040/2092611. ------ 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. ------ 34041/2092629. ------ 1. ==[ start ]==> (((^a.b)(a a))(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(c (^y.(y y)))) 3. ==[ beta ]==> (b (c (^y.(y y)))) 4. ==[ alpha ]==> (b (c (^x.(x x)))) REDUCED to normal form. ------ 34042/2092638. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 34043/2092656. ------ 1. ==[ start ]==> ((a (^b.(a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 34044/2092701. ------ 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))(^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. ------ 34045/2092728. ------ 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))(^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. ------ 34046/2092755. ------ 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. ------ 34047/2092782. ------ 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. ------ 34048/2092809. ------ 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)))) REDUCED to normal form. ------ 34049/2092836. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x)(^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. ------ 34050/2092863. ------ 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. ------ 34051/2092872. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 34052/2092899. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.a)(^b.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. ------ 34053/2092953. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 34054/2093034. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(c (^b.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. ------ 34055/2093043. ------ 1. ==[ start ]==> (((a b) b)((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b) b)((a (^x.x))((^y.y) a))) 3. ==[ beta ]==> (((a b) b)((a (^x.x)) a)) REDUCED to normal form. ------ 34056/2093070. ------ 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. ------ 34057/2093088. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(a (^b.(^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. ------ 34058/2093115. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 34059/2093169. ------ 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.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2) a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2) a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((^z1.z1) a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1) a))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 11. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 12. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 34060/2093250. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.a)(^a.(^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. ------ 34061/2093259. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(c (a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c (a (^z.z)))) REDUCED to normal form. ------ 34062/2093286. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(b ((^z.z) a))) 3. ==[ beta ]==> (((a a)(^y.y))(b ((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.x))(b ((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.x))(b a)) REDUCED to normal form. ------ 34063/2093322. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(y y)) a)) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y)) a)) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x)) a)) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 34064/2093349. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.a) b)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.a) b)) 3. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 34065/2093430. ------ 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)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y) a)(^z.z))) 5. ==[ beta ]==> ((a (a a))(((^y.y) a)(^z.z))) 6. ==[ alpha ]==> ((a (a a))(((^x.x) a)(^y.y))) 7. ==[ beta ]==> ((a (a a))(a (^y.y))) 8. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 34066/2093457. ------ 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.(^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. ------ 34067/2093475. ------ 1. ==[ start ]==> (((^a.b) c)(b c)) 2. ==[ alpha ]==> (((^x.b) c)(b c)) 3. ==[ beta ]==> (b (b c)) REDUCED to normal form. ------ 34068/2093484. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a a)(^y.a))) REDUCED to normal form. ------ 34069/2093511. ------ 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. ------ 34070/2093538. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.y)) b)) REDUCED to normal form. ------ 34071/2093574. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.a))) 5. ==[ beta ]==> ((^y.y)(^z.a)) 6. ==[ alpha ]==> ((^x.x)(^y.a)) 7. ==[ beta ]==> (^y.a) 8. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 34072/2093709. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 34073/2093718. ------ 1. ==[ start ]==> (((a b) c)(a c)) REDUCED to normal form. ------ 34074/2093745. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(b (a a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(b (a a))) 3. ==[ beta ]==> (((a a) b)(b (a a))) REDUCED to normal form. ------ 34075/2093772. ------ 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. ------ 34076/2093790. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(b (^z.z))) 3. ==[ beta ]==> (((a a)(^y.y))(b (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (^y.y))) REDUCED to normal form. ------ 34077/2093817. ------ 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)(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. ------ 34078/2093826. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(b a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(b a)) REDUCED to normal form. ------ 34079/2093853. ------ 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)) REDUCED to normal form. ------ 34080/2093871. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.y)(^z.z))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)(^y.y))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 34081/2093907. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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. ------ 34082/2094738. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^c.(^b.(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. ------ 34083/2097450. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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. ------ 34084/2097474. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 34085/2097555. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 34086/2097594. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a)(^z.z)))) 5. ==[ beta ]==> (^y.((a a)(^z.z))) 6. ==[ alpha ]==> (^x.((a a)(^y.y))) REDUCED to normal form. ------ 34087/2097837. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 34088/2098059. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)((^y.y)(a a)))(((a a)((^y.y)(a a)))((a a)((^y.y)(a a))))) 4. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((a a)((^y.y)(a a)))((a a)((^z.z)(a a))))) 5. ==[ beta ]==> (((a a)(a a))(((a a)((^y.y)(a a)))((a a)((^z.z)(a a))))) 6. ==[ alpha ]==> (((a a)(a a))(((a a)((^x.x)(a a)))((a a)((^y.y)(a a))))) 7. ==[ beta ]==> (((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)((^x.x)(a a))))) 9. ==[ beta ]==> (((a a)(a a))(((a a)(a a))((a a)(a a)))) REDUCED to normal form. ------ 34089/2098284. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(^x1.(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 34090/2098287. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 34091/2098512. ------ 1. ==[ start ]==> (((a (a a)) b)(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.(a a)))) REDUCED to normal form. ------ 34092/2099106. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^b.(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.y))) REDUCED to normal form. ------ 34093/2099175. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 34094/2099619. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 34095/2099763. ------ 1. ==[ start ]==> (((a a)(a b))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a b))(^x.(^z.z))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 34096/2099916. ------ 1. ==[ start ]==> (((^a.b) b)(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 34097/2100186. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 34098/2100294. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(a (a a)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(a (a a)))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(a (a a)))) 7. ==[ beta ]==> ((^y.(a (a a)))(^y.(a (a a)))) 8. ==[ alpha ]==> ((^x.(a (a a)))(^y.(a (a a)))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 34099/2100411. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(y (y y)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(y (y y)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(x (x x)))) REDUCED to normal form. ------ 34100/2100663. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^c.c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^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. ------ 34101/2100798. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^c.(^a.(^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. ------ 34102/2100807. ------ 1. ==[ start ]==> (((a b) c)(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a b) c)(^x.(a (^y.y)))) REDUCED to normal form. ------ 34103/2100861. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 34104/2100906. ------ 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)(^x1.x1)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 34105/2100915. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 34106/2100942. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(a a))) 3. ==[ beta ]==> ((a (^y.b))(^z.(a a))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(a a))) REDUCED to normal form. ------ 34107/2100996. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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. ------ 34108/2101026. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 34109/2101035. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(^a.a))((^a.a)(^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 (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 34110/2101062. ------ 1. ==[ start ]==> (((a a) a)((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a a) a)((^x.(x x))((a a) a))) 3. ==[ beta ]==> (((a a) a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 34111/2101080. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(^z.b))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.b))) 5. ==[ beta ]==> ((a a)(a (^y.b))) 6. ==[ alpha ]==> ((a a)(a (^x.b))) REDUCED to normal form. ------ 34112/2101089. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.a)(a b))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(a b))) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 34113/2101107. ------ 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. ------ 34114/2101116. ------ 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 (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 34115/2101143. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.y)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 34116/2101161. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 34117/2101170. ------ 1. ==[ start ]==> (((a a) b)((^c.(^a.a))(^a.a))) 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. ------ 34118/2101188. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^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. ------ 34119/2101197. ------ 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 a)) REDUCED to normal form. ------ 34120/2101215. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a b) c)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a b) c)) 3. ==[ beta ]==> ((a (^y.y))((a b) c)) 4. ==[ alpha ]==> ((a (^x.x))((a b) c)) REDUCED to normal form. ------ 34121/2101224. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 34122/2101305. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 34123/2101386. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 34124/2101431. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(a a)) b)) 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)) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 34125/2101458. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 34126/2101530. ------ 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)))) 5. ==[ beta ]==> (((a a) a)((a (a a))(^y.y))) 6. ==[ alpha ]==> (((a a) a)((a (a a))(^x.x))) REDUCED to normal form. ------ 34127/2101557. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a ((a a) a))) REDUCED to normal form. ------ 34128/2101584. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((a (^y.y))(a b))) 3. ==[ beta ]==> ((a (a a))((a (^y.y))(a b))) 4. ==[ alpha ]==> ((a (a a))((a (^x.x))(a b))) REDUCED to normal form. ------ 34129/2101602. ------ 1. ==[ start ]==> (((^a.(a a)) a)(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(b (^y.(a a)))) 3. ==[ beta ]==> ((a a)(b (^y.(a a)))) 4. ==[ alpha ]==> ((a a)(b (^x.(a a)))) REDUCED to normal form. ------ 34130/2101611. ------ 1. ==[ start ]==> ((a (a (a a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((a a)((^x.x)(a a)))) 3. ==[ beta ]==> ((a (a (a a)))((a a)(a a))) REDUCED to normal form. ------ 34131/2101647. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 34132/2101683. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.b)(a (^z.z)))) 3. ==[ beta ]==> ((a b)((^y.b)(a (^z.z)))) 4. ==[ alpha ]==> ((a b)((^x.b)(a (^y.y)))) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 34133/2101701. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((a a) a)(^z.a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((a a) a)(^z.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. ------ 34134/2101728. ------ 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 x1)))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(^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)))) 7. ==[ beta ]==> ((a (a a))(^y.(y y))) 8. ==[ alpha ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 34135/2101737. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 34136/2101755. ------ 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.(^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. ------ 34137/2101764. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(((^x1.x1)(^y1.y1))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.x1)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(^x1.x1))) 9. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 10. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 34138/2101791. ------ 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. ------ 34139/2101809. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a (^y.y))(^z.b))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.y))(^z.b))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(^y.b))) REDUCED to normal form. ------ 34140/2101818. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(^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. ------ 34141/2101836. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.(a a)))) REDUCED to normal form. ------ 34142/2101926. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.a)(^z.a))) 3. ==[ beta ]==> ((b b)((^y.a)(^z.a))) 4. ==[ alpha ]==> ((b b)((^x.a)(^y.a))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 34143/2102061. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.x)(^y.(a a)))) 3. ==[ beta ]==> (((a (a a)) b)(^y.(a a))) 4. ==[ alpha ]==> (((a (a a)) b)(^x.(a a))) REDUCED to normal form. ------ 34144/2102106. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b) 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. ------ 34145/2102259. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a a)(a b))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)(a b))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(a b))) REDUCED to normal form. ------ 34146/2102430. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 34147/2102484. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a b) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a b) a)) 3. ==[ beta ]==> (((^y.a)(^y.a))((a b) a)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a b) a)) 5. ==[ beta ]==> (a ((a b) a)) REDUCED to normal form. ------ 34148/2102520. ------ 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)))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 34149/2102547. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((((a a) a) a)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 34150/2102601. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.a)(^b.(^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. ------ 34151/2102655. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)(^z.b))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.b)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.b)) REDUCED to normal form. ------ 34152/2102727. ------ 1. ==[ start ]==> ((a (^a.b))((^b.(^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. ------ 34153/2102745. ------ 1. ==[ start ]==> (((a a)((a a) a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((a a) a))((a (a a))((^x.x) a))) 3. ==[ beta ]==> (((a a)((a a) a))((a (a a)) a)) REDUCED to normal form. ------ 34154/2102772. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((^x1.x1) a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1) a)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)(a (a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a (a (a a)))) REDUCED to normal form. ------ 34155/2102799. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a (a a)))((a (^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (a a)))((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a (a a)))((a (^x.x))(^z.z))) 6. ==[ alpha ]==> ((a (a (a a)))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 34156/2102826. ------ 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. ------ 34157/2102898. ------ 1. ==[ start ]==> (((^a.b) a)((^b.(^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. ------ 34158/2102916. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (a a))(^b.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. ------ 34159/2103060. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.(^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. ------ 34160/2103078. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (a a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a (a a)) c)) 3. ==[ beta ]==> (b ((a (a a)) c)) REDUCED to normal form. ------ 34161/2103087. ------ 1. ==[ start ]==> (((a b) a)((^a.(a a))(^b.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. ------ 34162/2103114. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 34163/2103168. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 34164/2103276. ------ 1. ==[ start ]==> (((a b)(^a.a))(c (^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(c (^y.(y y)))) REDUCED to normal form. ------ 34165/2103312. ------ 1. ==[ start ]==> (((a a)(a b))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((a a)((^x.x)(^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. ------ 34166/2103465. ------ 1. ==[ start ]==> (((^a.b) b)((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) 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 ((^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. ------ 34167/2103510. ------ 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 a) REDUCED to normal form. ------ 34168/2103537. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1) a) c)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) 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. ------ 34169/2103672. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.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. ------ 34170/2103681. ------ 1. ==[ start ]==> (((a b) b)(c (^b.a))) 2. ==[ alpha ]==> (((a b) b)(c (^x.a))) REDUCED to normal form. ------ 34171/2103708. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(b (^y.(y y)))) 3. ==[ beta ]==> (((a a) a)(b (^y.(y y)))) 4. ==[ alpha ]==> (((a a) a)(b (^x.(x x)))) REDUCED to normal form. ------ 34172/2103735. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 34173/2103753. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a (a a))(^z.z))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z.z))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.y))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 34174/2103762. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(z z))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((a a)(a a))) REDUCED to normal form. ------ 34175/2103807. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))(^z1.a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.y1))(^z1.a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))(^y1.a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(^y1.a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.a))) 9. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.a))) 10. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.a))) 11. ==[ beta ]==> ((a (^y.y))(^z.a)) 12. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 34176/2103816. ------ 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))((^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. ------ 34177/2103843. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(a (a a)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(a (a a)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(a (a a)))) 7. ==[ beta ]==> (((^y.y)(a (a a)))((^y.y)(a (a a)))) 8. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y)(a (a a)))) 9. ==[ beta ]==> ((a (a a))((^y.y)(a (a a)))) 10. ==[ alpha ]==> ((a (a a))((^x.x)(a (a a)))) 11. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 34178/2103870. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((^z.z)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)(^z.z))) 5. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 34179/2103888. ------ 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 (((^z.z) a) b)) 4. ==[ alpha ]==> (b (((^x.x) a) b)) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 34180/2103897. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.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. ------ 34181/2103924. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.(^a.a))(^b.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. ------ 34182/2103960. ------ 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. ------ 34183/2103987. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y) a)(a a))) 3. ==[ beta ]==> (((a (^x.x))(a b))(a (a a))) REDUCED to normal form. ------ 34184/2104014. ------ 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. ------ 34185/2104041. ------ 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))) 5. ==[ beta ]==> (((a (a a))(^x.x))((a a) a)) REDUCED to normal form. ------ 34186/2104113. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 34187/2104122. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(b c)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(b c)) REDUCED to normal form. ------ 34188/2104212. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((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. ------ 34189/2104347. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a a)(^a.(^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. ------ 34190/2104356. ------ 1. ==[ start ]==> (((a b) c)((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.x)(a (^y.y)))) 3. ==[ beta ]==> (((a b) c)(a (^y.y))) 4. ==[ alpha ]==> (((a b) c)(a (^x.x))) REDUCED to normal form. ------ 34191/2104383. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(^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. ------ 34192/2104410. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(^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. ------ 34193/2104428. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z)) a)) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 34194/2104455. ------ 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)((^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. ------ 34195/2104464. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 34196/2104491. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.z)(a a))) 3. ==[ beta ]==> ((a (^y.b))((^z.z)(a a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.y)(a a))) 5. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 34197/2104509. ------ 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)) REDUCED to normal form. ------ 34198/2104545. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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. ------ 34199/2104701. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^z.((a a)(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> ((^x.((a a)(^y.y)))(^z.z)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 34200/2108097. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^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. ------ 34201/2108148. ------ 1. ==[ start ]==> ((^a.(a a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))((^x1.x1)(^y1.y1)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 34202/2108175. ------ 1. ==[ start ]==> ((^a.b)((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.b)((^y.(y y))((a a) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 34203/2108256. ------ 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 ]==> (((^z.z)((a a)(^x1.x1)))(^y.y)) 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. ------ 34204/2108259. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 34205/2108445. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.a)(^x1.b))) 3. ==[ eta ]==> ((^y.y)((^z.a)(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.b))) 5. ==[ beta ]==> ((^y.a)(^z.b)) 6. ==[ alpha ]==> ((^x.a)(^y.b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 34206/2108616. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 34207/2108715. ------ 1. ==[ start ]==> ((^a.(a (a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(b (^y.(a a)))) 3. ==[ beta ]==> ((b (^y.(a a)))((b (^y.(a a)))(b (^y.(a a))))) 4. ==[ alpha ]==> ((b (^x.(a a)))((b (^y.(a a)))(b (^z.(a a))))) REDUCED to normal form. ------ 34208/2108961. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))(^x.(a a))) REDUCED to normal form. ------ 34209/2109066. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 34210/2109393. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(^z.(y y)))) REDUCED to normal form. ------ 34211/2109498. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> ((((^y.(y y))(a (a a)))((^y.(y y))(a (a a))))((^y.(y y))(a (a a)))) 4. ==[ alpha ]==> ((((^x.(x x))(a (a a)))((^y.(y y))(a (a a))))((^z.(z z))(a (a a)))) 5. ==[ beta ]==> ((((a (a a))(a (a a)))((^y.(y y))(a (a a))))((^z.(z z))(a (a a)))) 6. ==[ alpha ]==> ((((a (a a))(a (a a)))((^x.(x x))(a (a a))))((^y.(y y))(a (a a)))) 7. ==[ beta ]==> ((((a (a a))(a (a a)))((a (a a))(a (a a))))((^y.(y y))(a (a a)))) 8. ==[ alpha ]==> ((((a (a a))(a (a a)))((a (a a))(a (a a))))((^x.(x x))(a (a a)))) 9. ==[ beta ]==> ((((a (a a))(a (a a)))((a (a a))(a (a a))))((a (a a))(a (a a)))) REDUCED to normal form. ------ 34212/2109831. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 34213/2109960. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(^x1.(^y1.b))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(^x1.(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(^x1.b))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.b))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.b))) REDUCED to normal form. ------ 34214/2110011. ------ 1. ==[ start ]==> ((^a.(a b))((^b.(^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. ------ 34215/2110293. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(^y.((y y) y))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.((y y) y))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.((x x) x))) REDUCED to normal form. ------ 34216/2110398. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> (^y.(((a (^z.z))(a (a a)))((a (^z.z))(a (a a))))) 4. ==[ alpha ]==> (^x.(((a (^y.y))(a (a a)))((a (^z.z))(a (a a))))) REDUCED to normal form. ------ 34217/2110572. ------ 1. ==[ start ]==> (((^a.b) b)(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 34218/2110581. ------ 1. ==[ start ]==> (((a b)(a a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(a a))(^x.(^z.z))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 34219/2110605. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))(^y1.y1))((^z.(^x1.x1))(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(^x1.x1))((^y1.(^z1.z1))(^x2.x2)))) 5. ==[ beta ]==> (((^y.(^z.z))(^x1.x1))((^y1.(^z1.z1))(^x2.x2))) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))(^z1.z1))) 7. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.z1))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 9. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 34220/2111067. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 34221/2111175. ------ 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 x1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(^z.(z z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.(z z)))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 34222/2111256. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(^b.((^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))(^x.a)) REDUCED to normal form. ------ 34223/2111280. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((((^z.a)(^x1.x1))((^z.a)(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> ((((^x.a)(^y.y))((^z.a)(^x1.x1)))(^y1.y1)) 5. ==[ beta ]==> ((a ((^z.a)(^x1.x1)))(^y1.y1)) 6. ==[ alpha ]==> ((a ((^x.a)(^y.y)))(^z.z)) 7. ==[ beta ]==> ((a a)(^z.z)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 34224/2111463. ------ 1. ==[ start ]==> (((a b) c)(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 34225/2111535. ------ 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)))) REDUCED to normal form. ------ 34226/2111571. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^b.b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 34227/2111598. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^c.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(^x1.x1))) 3. ==[ beta ]==> ((a (^y.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 34228/2111616. ------ 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)((a a) a))(^y.b)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.b)) REDUCED to normal form. ------ 34229/2111652. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^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. ------ 34230/2111700. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (a (((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (a (((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (a ((^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. ------ 34231/2111709. ------ 1. ==[ start ]==> ((a (a a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 34232/2111736. ------ 1. ==[ start ]==> ((a b)((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((a b)((^x.(x x))((a a) a))) 3. ==[ beta ]==> ((a b)(((a a) a)((a a) a))) REDUCED to normal form. ------ 34233/2111754. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (((a a)(^x.x))(a (^z.b))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.b))) REDUCED to normal form. ------ 34234/2111781. ------ 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)))) REDUCED to normal form. ------ 34235/2111790. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 34236/2111817. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^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. ------ 34237/2111835. ------ 1. ==[ start ]==> (((a a) b)(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a a) b)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 34238/2111862. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(a a)) b)) 3. ==[ beta ]==> (((a (^x.x)) a)((a a) b)) REDUCED to normal form. ------ 34239/2111889. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a b) c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b) c)) REDUCED to normal form. ------ 34240/2111952. ------ 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. ------ 34241/2112006. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(^z.b))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.b))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.b))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 34242/2112015. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(c (a b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(c (a b))) 3. ==[ beta ]==> ((^y.a)(c (a b))) 4. ==[ alpha ]==> ((^x.a)(c (a b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 34243/2112042. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b ((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)(b ((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y)(a a)))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 34244/2112096. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(a a))(a a))) 5. ==[ beta ]==> (a (((^y.y)(a a))(a a))) 6. ==[ alpha ]==> (a (((^x.x)(a a))(a a))) 7. ==[ beta ]==> (a ((a a)(a a))) REDUCED to normal form. ------ 34245/2112105. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(a a)) b)) 3. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 34246/2112123. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 34247/2112132. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.b) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 34248/2112177. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a (^x.(x x)))((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(a (a a)))) 5. ==[ beta ]==> ((a (^x.(x x)))(a (a a))) REDUCED to normal form. ------ 34249/2112276. ------ 1. ==[ start ]==> ((a (a (a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))(b (^x.(a a)))) REDUCED to normal form. ------ 34250/2112285. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.(y y))((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.(x x))((a a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a a)((^y.y)(a a)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a a)((^y.y)(a a)))) 7. ==[ beta ]==> (((a a)(a a))((a a)((^y.y)(a a)))) 8. ==[ alpha ]==> (((a a)(a a))((a a)((^x.x)(a a)))) 9. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 34251/2112348. ------ 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. ------ 34252/2112375. ------ 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. ------ 34253/2112402. ------ 1. ==[ start ]==> (((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 x1)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.(z z))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(y y))) REDUCED to normal form. ------ 34254/2112429. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 34255/2112483. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 34256/2112519. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.y)(a a))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)(a a))) 5. ==[ beta ]==> (((a a)(a (a a)))(a a)) REDUCED to normal form. ------ 34257/2112546. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(a a))(^z.z))) 5. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 34258/2112573. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^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. ------ 34259/2112591. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((a a) a) c)) 2. ==[ alpha ]==> (((^x.(x x)) b)(((a a) a) c)) 3. ==[ beta ]==> ((b b)(((a a) a) c)) REDUCED to normal form. ------ 34260/2112627. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 34261/2112717. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(b (a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b (a b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b (a b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(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. ------ 34262/2112753. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(a a)) a)) 3. ==[ beta ]==> (((^y.y) a)((^z.(a a)) a)) 4. ==[ alpha ]==> (((^x.x) a)((^y.(a a)) a)) 5. ==[ beta ]==> (a ((^y.(a a)) a)) 6. ==[ alpha ]==> (a ((^x.(a a)) a)) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 34263/2112771. ------ 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. ------ 34264/2112780. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 34265/2112798. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((a a) a)(a (^z.z)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a (^y.y)))) 5. ==[ beta ]==> (((a a) a)(a (^y.y))) 6. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 34266/2112852. ------ 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. ------ 34267/2112924. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(b (^z.b))) 3. ==[ beta ]==> (((a a)(^y.y))(b (^z.b))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (^y.b))) REDUCED to normal form. ------ 34268/2112951. ------ 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. ------ 34269/2112978. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.b)(a a))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.b)(a a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)(a a))) 5. ==[ beta ]==> ((a a)((^y.b)(a a))) 6. ==[ alpha ]==> ((a a)((^x.b)(a a))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 34270/2113032. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z) a))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 34271/2113059. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(x x))(a (a a)))) 3. ==[ beta ]==> ((a ((a a) a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 34272/2113185. ------ 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. ------ 34273/2113311. ------ 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. ------ 34274/2113347. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.b) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.b) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b) a)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.b) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.b) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 34275/2113392. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.b))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.b))(a (^y.y))) REDUCED to normal form. ------ 34276/2113491. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(b (^c.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 34277/2113518. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(a (^x1.b))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(a (^x1.b))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(a (^z.b))) 5. ==[ beta ]==> ((a (^y.y))(a (^z.b))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.b))) REDUCED to normal form. ------ 34278/2113563. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 34279/2113572. ------ 1. ==[ start ]==> ((a (a b))((^b.(^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. ------ 34280/2113725. ------ 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. ------ 34281/2113752. ------ 1. ==[ start ]==> (((a b) a)((a (a a)) c)) REDUCED to normal form. ------ 34282/2113851. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.(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. ------ 34283/2113887. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1)) b)) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z)) b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 34284/2113932. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (b (((^y.y) a)((^z.z) a))) 4. ==[ alpha ]==> (b (((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> (b (a ((^y.y) a))) 6. ==[ alpha ]==> (b (a ((^x.x) a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 34285/2113959. ------ 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. ------ 34286/2113977. ------ 1. ==[ start ]==> (((a a)(a b))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(b (^x.(^y.y)))) REDUCED to normal form. ------ 34287/2114031. ------ 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.y1))(a a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(a a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a a))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 34288/2114058. ------ 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. ------ 34289/2114085. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> (((^y.y) a)((^z.a)((^x1.x1) a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.a)((^z.z) a))) 7. ==[ beta ]==> (a ((^y.a)((^z.z) a))) 8. ==[ alpha ]==> (a ((^x.a)((^y.y) a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 34290/2114112. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 34291/2114130. ------ 1. ==[ start ]==> (((^a.b) b)((a a)(^b.(^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. ------ 34292/2114139. ------ 1. ==[ start ]==> (((a b)(a a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.x)((^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. ------ 34293/2114166. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 34294/2114256. ------ 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. ------ 34295/2114337. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1) a)(a (^y1.y1)))) 3. ==[ beta ]==> (b (((^x1.x1) a)(a (^y1.y1)))) 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. ------ 34296/2114346. ------ 1. ==[ start ]==> (((a b) b)((^b.a) c)) 2. ==[ alpha ]==> (((a b) b)((^x.a) c)) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 34297/2114391. ------ 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. ------ 34298/2114427. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (a a))(^z.z))) REDUCED to normal form. ------ 34299/2114481. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 34300/2114508. ------ 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 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a)(^z.(z z)))) 5. ==[ beta ]==> ((^y.(y y))((a a)(^z.(z z)))) 6. ==[ alpha ]==> ((^x.(x x))((a a)(^y.(y y)))) 7. ==[ beta ]==> (((a a)(^y.(y y)))((a a)(^y.(y y)))) 8. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 34301/2114535. ------ 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. ------ 34302/2114562. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 34303/2114625. ------ 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)))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.(y y)))) 5. ==[ beta ]==> (((a a)(a a))(^y.(y y))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(x x))) REDUCED to normal form. ------ 34304/2114706. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(b (^z.a))) 3. ==[ beta ]==> (((a (a a))(^y.y))(b (^z.a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(b (^y.a))) REDUCED to normal form. ------ 34305/2114733. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(a (^z.(z z)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(a (^z.(z z)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(a (^y.(y y)))) 5. ==[ beta ]==> ((a (a a))(a (^y.(y y)))) 6. ==[ alpha ]==> ((a (a a))(a (^x.(x x)))) REDUCED to normal form. ------ 34306/2114760. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.a)(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.a)(a a))) 3. ==[ beta ]==> ((((a a) a) a)((^y.a)(a a))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.a)(a a))) 5. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 34307/2114778. ------ 1. ==[ start ]==> (((^a.b) c)((a (^a.a))(^a.(^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. ------ 34308/2114787. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z))(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. ------ 34309/2114814. ------ 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) a))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)((^y.y) a))) 5. ==[ beta ]==> (((a a)(a a))((^y.y) a)) 6. ==[ alpha ]==> (((a a)(a a))((^x.x) a)) 7. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 34310/2114841. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.a)(^z.z))) 3. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 34311/2114877. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(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. ------ 34312/2115012. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(b b)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(b b)) 3. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 34313/2115021. ------ 1. ==[ start ]==> (((a b) c)((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 34314/2115048. ------ 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)) REDUCED to normal form. ------ 34315/2115075. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a a) b)) REDUCED to normal form. ------ 34316/2115093. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(a (a (^a.a)))) 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. ------ 34317/2115120. ------ 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))) 4. ==[ alpha ]==> ((^x.x)((a a)(a a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 34318/2115129. ------ 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. ------ 34319/2115156. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a a)(^z.z))) 3. ==[ beta ]==> ((a (^y.b))((a a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.b))((a a)(^y.y))) REDUCED to normal form. ------ 34320/2115174. ------ 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 a) a))(a b)) REDUCED to normal form. ------ 34321/2115210. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^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. ------ 34322/2115236. ------ 1. ==[ start ]==> (^a.(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (^x.(((x x) x)(^y.(y y)))) REDUCED to normal form. ------ 34323/2115237. ------ 1. ==[ start ]==> (a (((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (a (((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 34324/2118798. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a))) a) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x))) a) REDUCED to normal form. ------ 34325/2118804. ------ 1. ==[ start ]==> ((^a.a)(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(y y)))) 3. ==[ beta ]==> (((a a) a)(^y.(y y))) 4. ==[ alpha ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 34326/2118831. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.(^y1.y1)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 5. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 6. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 7. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 8. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 34327/2118858. ------ 1. ==[ start ]==> ((^a.b)((a (a a))(^c.a))) 2. ==[ alpha ]==> ((^x.b)((a (a a))(^y.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 34328/2118894. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 34329/2118951. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^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. ------ 34330/2119056. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (^x.((^y.a)(^z.(z z)))) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 34331/2119203. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.((y y)(^z.z)))) 3. ==[ beta ]==> ((a a)(^y.((y y)(^z.z)))) 4. ==[ alpha ]==> ((a a)(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 34332/2119437. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 34333/2119623. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 34334/2119878. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (((^y.y) a)(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.((^z.z)(y y)))) 5. ==[ beta ]==> (a (^y.((^z.z)(y y)))) 6. ==[ alpha ]==> (a (^x.((^y.y)(x x)))) 7. ==[ beta ]==> (a (^x.(x x))) REDUCED to normal form. ------ 34335/2120181. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((a (a a))(^y.(y y)))) 3. ==[ beta ]==> ((((a (a a))(^y.(y y)))((a (a a))(^y.(y y))))((a (a a))(^y.(y y)))) 4. ==[ alpha ]==> ((((a (a a))(^x.(x x)))((a (a a))(^y.(y y))))((a (a a))(^z.(z z)))) REDUCED to normal form. ------ 34336/2120274. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(a z))) 3. ==[ eta ]==> (((^x.(x x))(^y.a)) a) 4. ==[ beta ]==> (((^y.a)(^y.a)) a) 5. ==[ alpha ]==> (((^x.a)(^y.a)) a) 6. ==[ beta ]==> (a a) REDUCED to normal form. ------ 34337/2120472. ------ 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. ------ 34338/2120694. ------ 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 ]==> ((((^y.y)(^z.z))(^x1.(^y1.y1))) b) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1))) b) 5. ==[ beta ]==> (((^y.y)(^z.(^x1.x1))) b) 6. ==[ alpha ]==> (((^x.x)(^y.(^z.z))) b) 7. ==[ beta ]==> ((^y.(^z.z)) b) 8. ==[ alpha ]==> ((^x.(^y.y)) b) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 34339/2120976. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(^y.(^z.a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.(^z.a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(^y.a))) REDUCED to normal form. ------ 34340/2120985. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.((y y) y))) REDUCED to normal form. ------ 34341/2121081. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(c (^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(c (^z.(z z)))) 3. ==[ beta ]==> (^y.((c (^z.(z z)))(c (^z.(z z))))) 4. ==[ alpha ]==> (^x.((c (^y.(y y)))(c (^z.(z z))))) REDUCED to normal form. ------ 34342/2121264. ------ 1. ==[ start ]==> (((a b)(a a))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 34343/2121288. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)((((^z.z)(^x1.x1)) a)(((^z.z)(^x1.x1)) a))) 4. ==[ alpha ]==> ((^x.x)((((^y.y)(^z.z)) a)(((^x1.x1)(^y1.y1)) a))) 5. ==[ beta ]==> ((((^y.y)(^z.z)) a)(((^x1.x1)(^y1.y1)) a)) 6. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z)(^x1.x1)) a)) 7. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1)) a)) 8. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z)) a)) 9. ==[ beta ]==> (a (((^y.y)(^z.z)) a)) 10. ==[ alpha ]==> (a (((^x.x)(^y.y)) a)) 11. ==[ beta ]==> (a ((^y.y) a)) 12. ==[ alpha ]==> (a ((^x.x) a)) 13. ==[ beta ]==> (a a) REDUCED to normal form. ------ 34344/2121525. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^c.(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(a (a a)))) REDUCED to normal form. ------ 34345/2121543. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^a.(^b.(^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. ------ 34346/2121963. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z) a) a)) 3. ==[ beta ]==> (((((^z.z) a) a)(((^z.z) a) a))(^y.y)) 4. ==[ alpha ]==> (((((^x.x) a) a)(((^y.y) a) a))(^z.z)) 5. ==[ beta ]==> (((a a)(((^y.y) a) a))(^z.z)) 6. ==[ alpha ]==> (((a a)(((^x.x) a) a))(^y.y)) 7. ==[ beta ]==> (((a a)(a a))(^y.y)) 8. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 34347/2122146. ------ 1. ==[ start ]==> (((a b) c)(^d.b)) 2. ==[ alpha ]==> (((a b) c)(^x.b)) REDUCED to normal form. ------ 34348/2122173. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^a.c)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.c)) 3. ==[ beta ]==> (((a a) b)(^y.c)) 4. ==[ alpha ]==> (((a a) b)(^x.c)) REDUCED to normal form. ------ 34349/2122218. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^b.(^a.(^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. ------ 34350/2122254. ------ 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. ------ 34351/2122299. ------ 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)((a a) a))(^y.(a a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(a a))) REDUCED to normal form. ------ 34352/2122335. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^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. ------ 34353/2122362. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^a.a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 34354/2122374. ------ 1. ==[ start ]==> ((a a)(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((a a)(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 34355/2122401. ------ 1. ==[ start ]==> ((a (a a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 34356/2122410. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 34357/2122428. ------ 1. ==[ start ]==> ((a b)((a (a a))(^c.a))) 2. ==[ alpha ]==> ((a b)((a (a a))(^x.a))) REDUCED to normal form. ------ 34358/2122437. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))((a a) a))) 3. ==[ beta ]==> ((a a)((^y.(y y))((a a) a))) 4. ==[ alpha ]==> ((a a)((^x.(x x))((a a) a))) 5. ==[ beta ]==> ((a a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 34359/2122464. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(a b))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 34360/2122482. ------ 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. ------ 34361/2122518. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 34362/2122572. ------ 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 a)) REDUCED to normal form. ------ 34363/2122599. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 34364/2122626. ------ 1. ==[ start ]==> ((a (^b.a))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 34365/2122707. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.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. ------ 34366/2122734. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^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. ------ 34367/2122743. ------ 1. ==[ start ]==> (((a (^a.a)) b)(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(b ((^y.y)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)(b (a a))) REDUCED to normal form. ------ 34368/2122770. ------ 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. ------ 34369/2122797. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> (((a a)(^x.a))((a a)(a a))) REDUCED to normal form. ------ 34370/2122824. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a b)(a (^x1.x1)))) REDUCED to normal form. ------ 34371/2122851. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> ((a (^y.y))(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a)((^y.y) a))) 5. ==[ beta ]==> ((a (^x.x))(((a a) a) a)) REDUCED to normal form. ------ 34372/2122959. ------ 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)((a (^y.y))(a b))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(a b))) REDUCED to normal form. ------ 34373/2122977. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b (^z.(a a)))) 3. ==[ beta ]==> ((^y.(y y))(b (^z.(a a)))) 4. ==[ alpha ]==> ((^x.(x x))(b (^y.(a a)))) 5. ==[ beta ]==> ((b (^y.(a a)))(b (^y.(a a)))) 6. ==[ alpha ]==> ((b (^x.(a a)))(b (^y.(a a)))) REDUCED to normal form. ------ 34374/2123004. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 34375/2123058. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((^z.b)(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(a (^z.z)))) 7. ==[ beta ]==> ((^y.b)(a (^z.z))) 8. ==[ alpha ]==> ((^x.b)(a (^y.y))) 9. ==[ beta ]==> b REDUCED to normal form. ------ 34376/2123112. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 34377/2123166. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.a)((a a) a))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)((a a) a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)((a a) a))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 34378/2123193. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 34379/2123211. ------ 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. ------ 34380/2123238. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z)(a a)) a)) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z)(a a)) a)) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(a a)) a)) 5. ==[ beta ]==> (((a (^x.x)) a)((a a) a)) REDUCED to normal form. ------ 34381/2123265. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a b) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a b) b)) 3. ==[ beta ]==> ((a (a (^y.y)))((a b) b)) 4. ==[ alpha ]==> ((a (a (^x.x)))((a b) b)) REDUCED to normal form. ------ 34382/2123328. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.(^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. ------ 34383/2123355. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 34384/2123409. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.b))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.b))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 34385/2123418. ------ 1. ==[ start ]==> (((a (a a)) b)(b (a b))) REDUCED to normal form. ------ 34386/2123445. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(a ((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.y) a)(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)(a ((^y.y)(a a)))) 5. ==[ beta ]==> (a (a ((^y.y)(a a)))) 6. ==[ alpha ]==> (a (a ((^x.x)(a a)))) 7. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 34387/2123472. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)(a a))) REDUCED to normal form. ------ 34388/2123499. ------ 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 (^z.z)))) REDUCED to normal form. ------ 34389/2123526. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.a))((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> ((a (^x.a))((^y.y)((^z.z) a))) 7. ==[ beta ]==> ((a (^x.a))((^z.z) a)) 8. ==[ alpha ]==> ((a (^x.a))((^y.y) a)) 9. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 34390/2123553. ------ 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. ------ 34391/2123580. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.z))) 9. ==[ beta ]==> (a ((^y.y)(^z.z))) 10. ==[ alpha ]==> (a ((^x.x)(^y.y))) 11. ==[ beta ]==> (a (^y.y)) 12. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 34392/2123670. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a b)(^z.z))) 3. ==[ beta ]==> ((a ((^y.y) a))((a b)(^z.z))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a b)(^y.y))) 5. ==[ beta ]==> ((a a)((a b)(^y.y))) 6. ==[ alpha ]==> ((a a)((a b)(^x.x))) REDUCED to normal form. ------ 34393/2123697. ------ 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. ------ 34394/2123724. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^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)((^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. ------ 34395/2123751. ------ 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. ------ 34396/2123787. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.a)((^z1.z1)(^x2.x2)))) 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. ------ 34397/2123841. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.z)(a b))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.z)(a b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.z)(a b))) 5. ==[ beta ]==> (a ((^z.z)(a b))) 6. ==[ alpha ]==> (a ((^x.x)(a b))) 7. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 34398/2123922. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.(^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))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 34399/2123949. ------ 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 y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.(z1 z1)))) 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. ------ 34400/2124012. ------ 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. ------ 34401/2124039. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(a (a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(a (a b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(a (a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (a b))) 5. ==[ beta ]==> ((^y.(^z.z))(a (a b))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (a b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 34402/2124066. ------ 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. ------ 34403/2124102. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y)) c)) 3. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 34404/2124237. ------ 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. ------ 34405/2124264. ------ 1. ==[ start ]==> ((a (a b))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))((^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. ------ 34406/2124273. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.(^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. ------ 34407/2124354. ------ 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))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) IRREDUCIBLE: cycle. ------ 34408/2124435. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^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. ------ 34409/2124462. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 34410/2124489. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((^y.a)(^z.(z z))) 6. ==[ alpha ]==> ((^x.a)(^y.(y y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 34411/2124525. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 34412/2124552. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(a ((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a ((a a) a))) REDUCED to normal form. ------ 34413/2124579. ------ 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.y1))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1)(^y1.y1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1))(a a))) 5. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1))(a a))) 6. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z))(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 34414/2124606. ------ 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. ------ 34415/2124633. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.x))(a ((^z.z) a))) 4. ==[ alpha ]==> (((a b)(^x.x))(a ((^y.y) a))) 5. ==[ beta ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 34416/2124651. ------ 1. ==[ start ]==> ((a (^b.(a a)))(c (^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(c (^y.(y y)))) REDUCED to normal form. ------ 34417/2124723. ------ 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))(^z1.z1))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.x1))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 9. ==[ beta ]==> ((a (^x.x))(^z.z)) 10. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 34418/2124750. ------ 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. ------ 34419/2124777. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z) a)(^x1.a))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(^z.a))) 7. ==[ beta ]==> (a (((^y.y) a)(^z.a))) 8. ==[ alpha ]==> (a (((^x.x) a)(^y.a))) 9. ==[ beta ]==> (a (a (^y.a))) 10. ==[ alpha ]==> (a (a (^x.a))) REDUCED to normal form. ------ 34420/2124804. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 34421/2124831. ------ 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. ------ 34422/2124858. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z)) a)) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y)) a)) 5. ==[ beta ]==> ((a (a a))((^y.y) a)) 6. ==[ alpha ]==> ((a (a a))((^x.x) a)) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 34423/2124867. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 34424/2124894. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 7. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 34425/2124948. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(x2 x2)))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(x2 x2)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 34426/2125038. ------ 1. ==[ start ]==> (((a b) b)(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b) b)(((^x.x) 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. ------ 34427/2125065. ------ 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) 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. ------ 34428/2125083. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(b (^z.(z z)))) 3. ==[ beta ]==> (((^y.y)(a a))(b (^z.(z z)))) 4. ==[ alpha ]==> (((^x.x)(a a))(b (^y.(y y)))) 5. ==[ beta ]==> ((a a)(b (^y.(y y)))) 6. ==[ alpha ]==> ((a a)(b (^x.(x x)))) REDUCED to normal form. ------ 34429/2125092. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)(a (a a)))) REDUCED to normal form. ------ 34430/2125110. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(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. ------ 34431/2125164. ------ 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))) 13. ==[ beta ]==> a REDUCED to normal form. ------ 34432/2125173. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(c c)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(c c)) REDUCED to normal form. ------ 34433/2125245. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^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. ------ 34434/2125344. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(y y)) a)) 3. ==[ beta ]==> (((a (^x.x))(a b))(a a)) REDUCED to normal form. ------ 34435/2125371. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.a) b)) 3. ==[ beta ]==> ((a ((a a) a))((^y.a) b)) 4. ==[ alpha ]==> ((a ((a a) a))((^x.a) b)) 5. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 34436/2125452. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y) a)(^z.z))) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x) a)(^y.y))) 5. ==[ beta ]==> ((((a a) a) a)(a (^y.y))) 6. ==[ alpha ]==> ((((a a) a) a)(a (^x.x))) REDUCED to normal form. ------ 34437/2125470. ------ 1. ==[ start ]==> (((^a.b) c)(c b)) 2. ==[ alpha ]==> (((^x.b) c)(c b)) 3. ==[ beta ]==> (b (c b)) REDUCED to normal form. ------ 34438/2125479. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 34439/2125506. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a a)(^y.a))) 3. ==[ beta ]==> (((a a)(a a))((a a)(^y.a))) 4. ==[ alpha ]==> (((a a)(a a))((a a)(^x.a))) REDUCED to normal form. ------ 34440/2125533. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y) a) a)) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 34441/2125569. ------ 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)((^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. ------ 34442/2125704. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.(^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. ------ 34443/2125713. ------ 1. ==[ start ]==> (((a b) c)(b b)) REDUCED to normal form. ------ 34444/2125740. ------ 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. ------ 34445/2125767. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(b (a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(b (a a))) REDUCED to normal form. ------ 34446/2125785. ------ 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)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 34447/2125812. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(b (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(b (^x1.x1))) 3. ==[ beta ]==> ((^y.y)(b (^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(b (^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 34448/2125821. ------ 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. ------ 34449/2125848. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(b a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(b a)) 3. ==[ beta ]==> ((a (^y.b))(b a)) 4. ==[ alpha ]==> ((a (^x.b))(b a)) REDUCED to normal form. ------ 34450/2125866. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.y)(a a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)(a a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)(a a))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(a a)) REDUCED to normal form. ------ 34451/2125902. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^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. ------ 34452/2125929. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(a a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 34453/2129499. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a))) b) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x))) b) REDUCED to normal form. ------ 34454/2129523. ------ 1. ==[ start ]==> ((^a.(^a.a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 34455/2129604. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 34456/2129670. ------ 1. ==[ start ]==> (((a a) b)(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 34457/2129913. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) 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. ------ 34458/2130108. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a (^y.y))(a b))) 3. ==[ beta ]==> (((a (^y.y))(a b))(((a (^y.y))(a b))((a (^y.y))(a b)))) 4. ==[ alpha ]==> (((a (^x.x))(a b))(((a (^y.y))(a b))((a (^z.z))(a b)))) REDUCED to normal form. ------ 34459/2130333. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))(^y1.b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 34460/2130588. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^b.(^b.(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. ------ 34461/2130984. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(^x1.b))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(^x1.b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(^x1.b))) 5. ==[ beta ]==> (a (^z.(^x1.b))) 6. ==[ alpha ]==> (a (^x.(^y.b))) REDUCED to normal form. ------ 34462/2131182. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 34463/2131224. ------ 1. ==[ start ]==> ((^a.(^a.b))((^c.a) b)) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a) b)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 34464/2131695. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(^z.a))) REDUCED to normal form. ------ 34465/2132262. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 34466/2132370. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(a (a a)))) REDUCED to normal form. ------ 34467/2132487. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(y (y y)))) REDUCED to normal form. ------ 34468/2132883. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 34469/2132991. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^a.(^a.(^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. ------ 34470/2133045. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 34471/2133072. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 34472/2133102. ------ 1. ==[ start ]==> ((a (^a.a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 34473/2133129. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 34474/2133138. ------ 1. ==[ start ]==> (((a a) a)((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 34475/2133165. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))((a a) a))) 3. ==[ beta ]==> (((a a)(^x.x))(((a a) a)((a a) a))) REDUCED to normal form. ------ 34476/2133183. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.b))) REDUCED to normal form. ------ 34477/2133192. ------ 1. ==[ start ]==> (((^a.a) b)((^b.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. ------ 34478/2133219. ------ 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)((^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. ------ 34479/2133246. ------ 1. ==[ start ]==> (((a a) b)((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.x)((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. ------ 34480/2133264. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((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) REDUCED to normal form. ------ 34481/2133291. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(a a)) b)) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a)) b)) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a)) b)) 5. ==[ beta ]==> ((a (^x.x))((a a) b)) REDUCED to normal form. ------ 34482/2133300. ------ 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 a)) REDUCED to normal form. ------ 34483/2133318. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 34484/2133327. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 34485/2133381. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 34486/2133462. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 34487/2133534. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 34488/2133606. ------ 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) 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. ------ 34489/2133633. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a (a a))(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (a a))(^z.z))) REDUCED to normal form. ------ 34490/2133660. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)((a a) a))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a)((a a) a))) 5. ==[ beta ]==> ((a (a a))(a ((a a) a))) REDUCED to normal form. ------ 34491/2133687. ------ 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. ------ 34492/2133759. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(a a))(a a))) 3. ==[ beta ]==> ((a b)((^y.(a a))(a a))) 4. ==[ alpha ]==> ((a b)((^x.(a a))(a a))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 34493/2133777. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a b)(^z.(^x1.x1)))) 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. ------ 34494/2133786. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.b)(a (^y.y)))) 3. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 34495/2133804. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((a a) a)(^y.a))) 3. ==[ beta ]==> ((a (a a))(((a a) a)(^y.a))) 4. ==[ alpha ]==> ((a (a a))(((a a) a)(^x.a))) REDUCED to normal form. ------ 34496/2133831. ------ 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)(^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. ------ 34497/2133840. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.(^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. ------ 34498/2133867. ------ 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))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(((^x1.x1)(^y1.y1))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)((^y1.y1)(^z1.z1)))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 9. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^y1.y1))) 10. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.x1))) 11. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 12. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 34499/2133894. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.a)((a a) a))) 3. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 34500/2133912. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.b))) REDUCED to normal form. ------ 34501/2134002. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b b)((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b b)((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 34502/2134137. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(^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. ------ 34503/2134164. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.(a a)))) 5. ==[ beta ]==> (a ((^y.y)(^z.(a a)))) 6. ==[ alpha ]==> (a ((^x.x)(^y.(a a)))) 7. ==[ beta ]==> (a (^y.(a a))) 8. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 34504/2134182. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(a a)) a)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a)) a)) 5. ==[ beta ]==> ((^y.y)((^z.(a a)) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(a a)) a)) 7. ==[ beta ]==> ((^y.(a a)) a) 8. ==[ alpha ]==> ((^x.(a a)) a) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 34505/2134209. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.b) b)) 3. ==[ beta ]==> ((^y.y)((^z.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. ------ 34506/2134335. ------ 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)(^y.y))((a (^z.z))((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 34507/2134362. ------ 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. ------ 34508/2134506. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a) a)(^b.(^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. ------ 34509/2134560. ------ 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)(^y.a))((a a)(^z.b))) 4. ==[ alpha ]==> (((^x.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. ------ 34510/2134596. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.b)(^x1.x1))) 3. ==[ beta ]==> (((^y.y) b)((^z.b)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) b)((^y.b)(^z.z))) 5. ==[ beta ]==> (b ((^y.b)(^z.z))) 6. ==[ alpha ]==> (b ((^x.b)(^y.y))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 34511/2134677. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.(y1 y1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(y1 y1)))) IRREDUCIBLE: cycle. ------ 34512/2134704. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.a)(^b.(^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. ------ 34513/2134731. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(^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. ------ 34514/2134758. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)(^z1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.b))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.b))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 34515/2134803. ------ 1. ==[ start ]==> ((a (^a.b))((^c.a) b)) 2. ==[ alpha ]==> ((a (^x.b))((^y.a) b)) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 34516/2134821. ------ 1. ==[ start ]==> (((a a)((a a) a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(((^x.x)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (((a a)((a a) a))(a (^y.y))) 6. ==[ alpha ]==> (((a a)((a a) a))(a (^x.x))) REDUCED to normal form. ------ 34517/2134848. ------ 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.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a))((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((a (a a)) a)) REDUCED to normal form. ------ 34518/2134875. ------ 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. ------ 34519/2134902. ------ 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 (^x.x))(^z.z))) 6. ==[ alpha ]==> (((a (a a)) a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 34520/2134929. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a a)((a a) a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a a)((a a) a))) 5. ==[ beta ]==> ((a (^y.y))((a a)((a a) a))) 6. ==[ alpha ]==> ((a (^x.x))((a a)((a a) a))) REDUCED to normal form. ------ 34521/2134974. ------ 1. ==[ start ]==> (((^a.b) a)((^c.a)(a a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 34522/2134992. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.b)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 34523/2135073. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.z))(^x1.(^y1.y1)))) IRREDUCIBLE: cycle. ------ 34524/2135136. ------ 1. ==[ start ]==> ((((a a) a) b)((^c.a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.a)(^y.y))) 3. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 34525/2135154. ------ 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 (((^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. ------ 34526/2135163. ------ 1. ==[ start ]==> (((a b) a)((^b.(^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. ------ 34527/2135181. ------ 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. ------ 34528/2135190. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a a)(^x.b))((^z.a)(^z.a))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 34529/2135244. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 34530/2135343. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(y y)) c)) 3. ==[ beta ]==> (b ((^y.(y y)) c)) 4. ==[ alpha ]==> (b ((^x.(x x)) c)) 5. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 34531/2135388. ------ 1. ==[ start ]==> (((a a)(a b))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(a b))((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 34532/2135415. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((a a)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))((a a)(^y.y))) REDUCED to normal form. ------ 34533/2135541. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(^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. ------ 34534/2135586. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.(a a))(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y)(^z.z)) a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 34535/2135613. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a (a a)) b)) 3. ==[ beta ]==> ((^y.y)((a (a a)) b)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) b)) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 34536/2135748. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 34537/2135811. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(b (^y.(y y)))) REDUCED to normal form. ------ 34538/2135838. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 34539/2135883. ------ 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)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a)(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1) a)(^z1.(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(^y1.y1)))) 10. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 11. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 12. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 13. ==[ beta ]==> (a (^y.(^z.z))) 14. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 34540/2135892. ------ 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) REDUCED to normal form. ------ 34541/2135919. ------ 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.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> (((^y.(^z.z))((^x1.x1) a))((^y.(^z.z))((^x1.x1) a))) 8. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1))((^z1.z1) a))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1) a))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 11. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 12. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 34542/2135946. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(a (a a))) REDUCED to normal form. ------ 34543/2135964. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a (a a)) a)) 3. ==[ beta ]==> (b ((a (a a)) a)) REDUCED to normal form. ------ 34544/2135973. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.x1)(^x1.x1))) 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. ------ 34545/2136000. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^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)))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 34546/2136036. ------ 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)(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. ------ 34547/2136063. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(a (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(a (a (a a)))) REDUCED to normal form. ------ 34548/2136090. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((^y.y) a)(a a))) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y) a)(a a))) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x) a)(a a))) 5. ==[ beta ]==> ((a ((a a) a))(a (a a))) REDUCED to normal form. ------ 34549/2136117. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 34550/2136144. ------ 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))) 7. ==[ beta ]==> ((a (a a))((a a) a)) REDUCED to normal form. ------ 34551/2136189. ------ 1. ==[ start ]==> (((^a.b) c)((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.b) c)((^y.a)(a a))) 3. ==[ beta ]==> (b ((^y.a)(a a))) 4. ==[ alpha ]==> (b ((^x.a)(a a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 34552/2136198. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(c b)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(c b)) REDUCED to normal form. ------ 34553/2136225. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(b c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(b c)) 3. ==[ beta ]==> (((a a)(a a))(b c)) REDUCED to normal form. ------ 34554/2136288. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a (^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.x)((a (^y.y)) b)) 5. ==[ beta ]==> ((a (^y.y)) b) 6. ==[ alpha ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 34555/2136423. ------ 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 ((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 34556/2136432. ------ 1. ==[ start ]==> (((a b) c)((^a.(^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. ------ 34557/2136459. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 34558/2136486. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 34559/2136504. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a a) b)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a a) b)) 3. ==[ beta ]==> (((a a)(^y.y))((a a) b)) 4. ==[ alpha ]==> (((a a)(^x.x))((a a) b)) REDUCED to normal form. ------ 34560/2136531. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> ((^y.y)((^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. ------ 34561/2136540. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(b (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(b (^z.z))) REDUCED to normal form. ------ 34562/2136567. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(a (^a.(^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. ------ 34563/2136585. ------ 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) a))((a a)(^y.y))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a a)(^x.x))) REDUCED to normal form. ------ 34564/2136621. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 34565/2136648. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(a (^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 34566/2136665. ------ 1. ==[ start ]==> (^a.((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (^x.((^y.b)((^z.z) x))) 3. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 34567/2136666. ------ 1. ==[ start ]==> (a ((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (a ((^x.b)((^y.y) a))) 3. ==[ beta ]==> (a b) REDUCED to normal form. ------ 34568/2139153. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.((^x1.x1)(^y1.y1)))(^z.((^x1.x1)(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((^y.((^z.z)(^x1.x1)))(^y1.((^z1.z1)(^x2.x2))))) 5. ==[ beta ]==> ((^y.((^z.z)(^x1.x1)))(^y1.((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 34569/2139828. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((^z.((^x1.x1) a))(^z.((^x1.x1) a)))(^y.y)) 4. ==[ alpha ]==> (((^x.((^y.y) a))(^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. ------ 34570/2140245. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a)) a) 2. ==[ alpha ]==> (((^x.b)((^y.y) a)) a) 3. ==[ beta ]==> (b a) REDUCED to normal form. ------ 34571/2140251. ------ 1. ==[ start ]==> ((^a.a)((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z) a))) 3. ==[ beta ]==> ((^y.b)((^z.z) a)) 4. ==[ alpha ]==> ((^x.b)((^y.y) a)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 34572/2140305. ------ 1. ==[ start ]==> ((^a.b)((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 34573/2140386. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(^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. ------ 34574/2140407. ------ 1. ==[ start ]==> (((a a) b)(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 34575/2140668. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.((y y)(^z.z)))) 5. ==[ beta ]==> (a (^y.((y y)(^z.z)))) 6. ==[ alpha ]==> (a (^x.((x x)(^y.y)))) REDUCED to normal form. ------ 34576/2140746. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 34577/2140884. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 34578/2141118. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (((a (^x.x)) a)(^y.(a a))) REDUCED to normal form. ------ 34579/2141343. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.((^y1.y1)(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((^x1.x1)(z z)))) 5. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(z z)))) 6. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(y y)))) 7. ==[ beta ]==> (^y.((^z.z)(y y))) 8. ==[ alpha ]==> (^x.((^y.y)(x x))) 9. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 34580/2141550. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(^x1.(z z)))) 3. ==[ beta ]==> ((a ((^y.y) a))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.(y y)))) 5. ==[ beta ]==> ((a a)(^y.(^z.(y y)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(x x)))) REDUCED to normal form. ------ 34581/2141628. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^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))) 4. ==[ alpha ]==> ((((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1))((^z1.z1) a)))((^x2.(^y2.y2))((^z2.z2) a))) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))((^z1.z1) a)))((^x2.(^y2.y2))((^z2.z2) a))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))((^x1.x1) a)))((^y1.(^z1.z1))((^x2.x2) a))) 7. ==[ beta ]==> (((^y.(^z.z))((^x1.x1) a))((^y1.(^z1.z1))((^x2.x2) a))) 8. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1))((^z1.z1) a))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1) a))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 11. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 12. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 34582/2141961. ------ 1. ==[ start ]==> ((^a.(^a.b))(((a a) a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.b))(((a a) a)(a a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 34583/2142117. ------ 1. ==[ start ]==> ((((a a) a)(a a))(^a.(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.b))) REDUCED to normal form. ------ 34584/2142141. ------ 1. ==[ start ]==> ((^a.(a b))((^c.a)(a a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.a)(a a))) 3. ==[ beta ]==> (((^y.a)(a a)) b) 4. ==[ alpha ]==> (((^x.a)(a a)) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 34585/2142528. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (^y.((((^z.z) a)((^x1.x1) a))(((^z.z) a)((^x1.x1) a)))) 4. ==[ alpha ]==> (^x.((((^y.y) a)((^z.z) a))(((^x1.x1) a)((^y1.y1) a)))) 5. ==[ beta ]==> (^x.((a ((^z.z) a))(((^x1.x1) a)((^y1.y1) a)))) 6. ==[ alpha ]==> (^x.((a ((^y.y) a))(((^z.z) a)((^x1.x1) a)))) 7. ==[ beta ]==> (^x.((a a)(((^z.z) a)((^x1.x1) a)))) 8. ==[ alpha ]==> (^x.((a a)(((^y.y) a)((^z.z) a)))) 9. ==[ beta ]==> (^x.((a a)(a ((^z.z) a)))) 10. ==[ alpha ]==> (^x.((a a)(a ((^y.y) a)))) 11. ==[ beta ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 34586/2142735. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)((^x1.x1)(^y1.y1)))((^z.z)((^x1.x1)(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)((^z.z)(^x1.x1)))((^y1.y1)((^z1.z1)(^x2.x2))))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)((^y1.y1)(^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)((^x1.x1)(^y1.y1)))) 9. ==[ beta ]==> ((^y.y)((^z.z)((^x1.x1)(^y1.y1)))) 10. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z)(^x1.x1)))) 11. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 12. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 13. ==[ beta ]==> ((^y.y)(^z.z)) 14. ==[ alpha ]==> ((^x.x)(^y.y)) 15. ==[ beta ]==> (^y.y) 16. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 34587/2142738. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^x.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 34588/2142990. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^c.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.(a (a a)))) 3. ==[ beta ]==> ((^y.y)(^z.(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (a a)))) 5. ==[ beta ]==> (^y.(a (a a))) 6. ==[ alpha ]==> (^x.(a (a a))) REDUCED to normal form. ------ 34589/2143107. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.(z z)))) REDUCED to normal form. ------ 34590/2143224. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.(z z)))) REDUCED to normal form. ------ 34591/2143332. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a) a)(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 34592/2143410. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((((^z.z)((^x1.x1) a))((^z.z)((^x1.x1) a)))(^y.y)) 4. ==[ alpha ]==> ((((^x.x)((^y.y) a))((^z.z)((^x1.x1) a)))(^y1.y1)) 5. ==[ beta ]==> ((((^y.y) a)((^z.z)((^x1.x1) a)))(^y1.y1)) 6. ==[ alpha ]==> ((((^x.x) a)((^y.y)((^z.z) a)))(^x1.x1)) 7. ==[ beta ]==> ((a ((^y.y)((^z.z) a)))(^x1.x1)) 8. ==[ alpha ]==> ((a ((^x.x)((^y.y) a)))(^z.z)) 9. ==[ beta ]==> ((a ((^y.y) a))(^z.z)) 10. ==[ alpha ]==> ((a ((^x.x) a))(^y.y)) 11. ==[ beta ]==> ((a a)(^y.y)) 12. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 34593/2143413. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.((^z.z) a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^y.a)) REDUCED to normal form. ------ 34594/2143620. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^c.(^a.(^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. ------ 34595/2143692. ------ 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)(^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. ------ 34596/2143728. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^b.b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.z)) 3. ==[ beta ]==> ((a (^y.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 34597/2143782. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^c.a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.a)) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 34598/2143809. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^b.a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.a)) REDUCED to normal form. ------ 34599/2143827. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^a.a)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.z)) 3. ==[ beta ]==> (b (^z.z)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 34600/2143839. ------ 1. ==[ start ]==> ((a a)((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((a a)((^x.b)((^y.y) a))) 3. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 34601/2143857. ------ 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. ------ 34602/2143884. ------ 1. ==[ start ]==> (((a a) a)(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 34603/2143893. ------ 1. ==[ start ]==> ((a b)((^b.(^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. ------ 34604/2143938. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.b))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.b))) 5. ==[ beta ]==> (b (a (^y.b))) 6. ==[ alpha ]==> (b (a (^x.b))) REDUCED to normal form. ------ 34605/2143947. ------ 1. ==[ start ]==> (((a a)(a a))((^b.a)(a b))) 2. ==[ alpha ]==> (((a a)(a a))((^x.a)(a b))) 3. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 34606/2143965. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((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. ------ 34607/2143974. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 34608/2143992. ------ 1. ==[ start ]==> (((a a) b)((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 34609/2144019. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x)) a)(((a a)(^y.y)) a)) REDUCED to normal form. ------ 34610/2144046. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a)) b)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a) b)) REDUCED to normal form. ------ 34611/2144073. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a b) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b) c)) REDUCED to normal form. ------ 34612/2144136. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.(^a.a))(^b.(^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. ------ 34613/2144253. ------ 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. ------ 34614/2144262. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 34615/2144280. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 34616/2144289. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(a a)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 34617/2144316. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.b) c)) 3. ==[ beta ]==> ((a (^y.y))((^z.b) c)) 4. ==[ alpha ]==> ((a (^x.x))((^y.b) c)) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 34618/2144334. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> ((a (^x.(x x)))(((a a) a) a)) REDUCED to normal form. ------ 34619/2144442. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z))(a b))) 3. ==[ beta ]==> ((^y.(y y))((a (^z.z))(a b))) 4. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(a b))) 5. ==[ beta ]==> (((a (^y.y))(a b))((a (^y.y))(a b))) 6. ==[ alpha ]==> (((a (^x.x))(a b))((a (^y.y))(a b))) REDUCED to normal form. ------ 34620/2144469. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 34621/2144505. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a) 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. ------ 34622/2144532. ------ 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. ------ 34623/2144559. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a) a)(^y.a))) REDUCED to normal form. ------ 34624/2144586. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.(x1 x1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(z z))) REDUCED to normal form. ------ 34625/2144613. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 34626/2144676. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.y))(a b))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 34627/2144703. ------ 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.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. ------ 34628/2144730. ------ 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))) 5. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 34629/2144748. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a b) b)) 2. ==[ alpha ]==> (((^x.(x x)) b)((a b) b)) 3. ==[ beta ]==> ((b b)((a b) b)) REDUCED to normal form. ------ 34630/2144757. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a a)) b) REDUCED to normal form. ------ 34631/2144928. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a ((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.y)(a ((^z.z)(a a)))) 6. ==[ alpha ]==> ((^x.x)(a ((^y.y)(a a)))) 7. ==[ beta ]==> (a ((^y.y)(a a))) 8. ==[ alpha ]==> (a ((^x.x)(a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 34632/2144937. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 34633/2144955. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a b)(a a))) 3. ==[ beta ]==> ((^y.y)((a b)(a a))) 4. ==[ alpha ]==> ((^x.x)((a b)(a a))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 34634/2144964. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.b) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.b) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) b) REDUCED to normal form. ------ 34635/2144991. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^c.a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.a) c)) 3. ==[ beta ]==> ((a (^y.a))((^z.a) c)) 4. ==[ alpha ]==> ((a (^x.a))((^y.a) c)) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 34636/2145009. ------ 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)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)((^y1.y1) a))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)((^x1.x1) a))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1) a)) 8. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z) a)) 9. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 34637/2145108. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(b (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(b (^y.b))) REDUCED to normal form. ------ 34638/2145135. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(a (^z.(a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))(a (^z.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(a (^y.(a a)))) 5. ==[ beta ]==> ((a a)(a (^y.(a a)))) 6. ==[ alpha ]==> ((a a)(a (^x.(a a)))) REDUCED to normal form. ------ 34639/2145162. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.b)(a a))) 3. ==[ beta ]==> (((a (a a))(a (^x.x))) b) REDUCED to normal form. ------ 34640/2145216. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a ((a a) a))(^y.y)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 34641/2145342. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a b) a)) 3. ==[ beta ]==> (((^y.y) b)((a b) a)) 4. ==[ alpha ]==> (((^x.x) b)((a b) a)) 5. ==[ beta ]==> (b ((a b) a)) REDUCED to normal form. ------ 34642/2145369. ------ 1. ==[ start ]==> ((((a a) a) a)(((a a) a) b)) REDUCED to normal form. ------ 34643/2145531. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.b) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.b) a)) 3. ==[ beta ]==> ((((a a) a)(^x.x)) b) REDUCED to normal form. ------ 34644/2145549. ------ 1. ==[ start ]==> ((a (^a.b))(((a a) a)(a a))) 2. ==[ alpha ]==> ((a (^x.b))(((a a) a)(a a))) REDUCED to normal form. ------ 34645/2145675. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(b (^x1.a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(b (^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(b (^z.a))) 5. ==[ beta ]==> ((a (^y.y))(b (^z.a))) 6. ==[ alpha ]==> ((a (^x.x))(b (^y.a))) REDUCED to normal form. ------ 34646/2145702. ------ 1. ==[ start ]==> ((((a a) a)(a a))(a (^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a a))(a (^x.b))) REDUCED to normal form. ------ 34647/2145720. ------ 1. ==[ start ]==> (((^a.b) a)(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 34648/2145729. ------ 1. ==[ start ]==> ((a (a b))((^c.a)(a a))) 2. ==[ alpha ]==> ((a (a b))((^x.a)(a a))) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 34649/2145882. ------ 1. ==[ start ]==> ((((a a) a) b)(((a a) a) a)) REDUCED to normal form. ------ 34650/2145909. ------ 1. ==[ start ]==> (((a b) a)(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a b) a)(((^x.x)(^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. ------ 34651/2145936. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (a a)) c)) 2. ==[ alpha ]==> (((a a)(^x.b))((a (a a)) c)) REDUCED to normal form. ------ 34652/2146008. ------ 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 a)))(b ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(b ((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(b (^y.y))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(b (^x.x))) REDUCED to normal form. ------ 34653/2146044. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^c.a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.a) a)) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.a) a)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a) a)) 5. ==[ beta ]==> ((^y.a)((^z.a) a)) 6. ==[ alpha ]==> ((^x.a)((^y.a) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 34654/2146071. ------ 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. ------ 34655/2146089. ------ 1. ==[ start ]==> (((^a.b)(a a))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((a (a a))(a (^y.y)))) 3. ==[ beta ]==> (b ((a (a a))(a (^y.y)))) 4. ==[ alpha ]==> (b ((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 34656/2146098. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(a a)) c)) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(y y)) c)) 3. ==[ beta ]==> (((a b)(^x.x))(c c)) REDUCED to normal form. ------ 34657/2146116. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> ((a (^x.(a a)))(a ((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(a ((^y.y) a))) 5. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 34658/2146134. ------ 1. ==[ start ]==> (((a a)(a b))(c (^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))(c (^x.(x x)))) REDUCED to normal form. ------ 34659/2146161. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 34660/2146215. ------ 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. ------ 34661/2146242. ------ 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 x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(x1 x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(z z))(a (^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.(z z))(a (^x1.x1)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(a (^z.z)))) 7. ==[ beta ]==> (a ((^y.(y y))(a (^z.z)))) 8. ==[ alpha ]==> (a ((^x.(x x))(a (^y.y)))) 9. ==[ beta ]==> (a ((a (^y.y))(a (^y.y)))) 10. ==[ alpha ]==> (a ((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 34662/2146269. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x))) a) REDUCED to normal form. ------ 34663/2146287. ------ 1. ==[ start ]==> (((^a.b) b)((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) 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)))) REDUCED to normal form. ------ 34664/2146296. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(^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. ------ 34665/2146323. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a a))((^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. ------ 34666/2146413. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(c ((^x1.x1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(c ((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c ((^y1.y1) a))) 5. ==[ beta ]==> ((^y.y)(c ((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.x)(c ((^y.y) a))) 7. ==[ beta ]==> (c ((^y.y) a)) 8. ==[ alpha ]==> (c ((^x.x) a)) 9. ==[ beta ]==> (c a) REDUCED to normal form. ------ 34667/2146494. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (a a))(a a))) 3. ==[ beta ]==> (b ((a (a a))(a a))) REDUCED to normal form. ------ 34668/2146503. ------ 1. ==[ start ]==> (((a b) b)((^a.(a a)) b)) 2. ==[ alpha ]==> (((a b) b)((^x.(x x)) b)) 3. ==[ beta ]==> (((a b) b)(b b)) REDUCED to normal form. ------ 34669/2146530. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.a) c)) 3. ==[ beta ]==> (((a a) a)((^y.a) c)) 4. ==[ alpha ]==> (((a a) a)((^x.a) c)) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 34670/2146548. ------ 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. ------ 34671/2146575. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)(a (a a)))) 5. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 34672/2146638. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 34673/2146665. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(y y))((a (^z.z))(^x1.a))) 6. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(^z.a))) 7. ==[ beta ]==> (((a (^y.y))(^z.a))((a (^y.y))(^z.a))) 8. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 34674/2146692. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a a)(^y.(y y)))) REDUCED to normal form. ------ 34675/2146719. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (a a)) a)) REDUCED to normal form. ------ 34676/2146746. ------ 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)(^x.x))(a b)) REDUCED to normal form. ------ 34677/2146782. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.(^a.a))(^b.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. ------ 34678/2146809. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.(z z))) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(y y))) REDUCED to normal form. ------ 34679/2146890. ------ 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. ------ 34680/2146917. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(a (^y.(y y)))) 3. ==[ beta ]==> ((((a a) a) a)(a (^y.(y y)))) 4. ==[ alpha ]==> ((((a a) a) a)(a (^x.(x x)))) REDUCED to normal form. ------ 34681/2146935. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.b) c)(((^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. ------ 34682/2146944. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.a)(a a))) 3. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 34683/2146971. ------ 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)))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 34684/2146998. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.z) a)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y) a)) 5. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 34685/2147034. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(c (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(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. ------ 34686/2147169. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(c a)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(c a)) 3. ==[ beta ]==> (b (c a)) REDUCED to normal form. ------ 34687/2147178. ------ 1. ==[ start ]==> (((a b) c)((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b) c)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 34688/2147205. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a a)(^a.(^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. ------ 34689/2147232. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a (^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.y)) a)) REDUCED to normal form. ------ 34690/2147250. ------ 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. ------ 34691/2147277. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(a (a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(a (a (^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. ------ 34692/2147286. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 34693/2147313. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.z) b)) 3. ==[ beta ]==> ((a (^y.b))((^z.z) b)) 4. ==[ alpha ]==> ((a (^x.b))((^y.y) b)) 5. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 34694/2147331. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(b a)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(b a)) 3. ==[ beta ]==> ((((a a) a)((a a) a))(b a)) REDUCED to normal form. ------ 34695/2147367. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^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. ------ 34696/2147394. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.a) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y) a)) 3. ==[ beta ]==> ((((a a) a)(^x.(x x))) a) REDUCED to normal form. ------ 34697/2147412. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(a a)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(a a)) 3. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 34698/2147420. ------ 1. ==[ start ]==> (^a.((a b)(^b.a))) 2. ==[ alpha ]==> (^x.((x b)(^y.x))) REDUCED to normal form. ------ 34699/2147421. ------ 1. ==[ start ]==> (a ((a b)(^b.a))) 2. ==[ alpha ]==> (a ((a b)(^x.a))) REDUCED to normal form. ------ 34700/2151000. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a)) b) 2. ==[ alpha ]==> (((^x.b)((^y.y) a)) b) 3. ==[ beta ]==> (b b) REDUCED to normal form. ------ 34701/2151009. ------ 1. ==[ start ]==> (((a b)(^b.a)) a) 2. ==[ alpha ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 34702/2151015. ------ 1. ==[ start ]==> ((^a.a)((a b)(^b.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. ------ 34703/2151024. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 34704/2151042. ------ 1. ==[ start ]==> ((^a.(a a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))(((a a) a)(^y.(y y)))) 3. ==[ beta ]==> ((((a a) a)(^y.(y y)))(((a a) a)(^y.(y y)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 34705/2151069. ------ 1. ==[ start ]==> ((^a.b)(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 34706/2151105. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))((a a) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 34707/2151150. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (^z.z))(^x1.(a a)))(^y.y)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 34708/2151189. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^x1.((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a)(^z.z)))) 5. ==[ beta ]==> (^y.((a a)(^z.z))) 6. ==[ alpha ]==> (^x.((a a)(^y.y))) REDUCED to normal form. ------ 34709/2151267. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.b)(^x1.a))) 3. ==[ beta ]==> (^y.((^z.b)(^x1.a))) 4. ==[ alpha ]==> (^x.((^y.b)(^z.a))) 5. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 34710/2151432. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^b.(^c.(^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. ------ 34711/2151441. ------ 1. ==[ start ]==> (((a a)(^b.a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 34712/2151834. ------ 1. ==[ start ]==> ((^a.(^b.(^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. ------ 34713/2152107. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(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. ------ 34714/2152116. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 34715/2152392. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((((^y.y)(^z.z))(^x1.a))(((^y.y)(^z.z))(^x1.a)))(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((((^x.x)(^y.y))(^z.a))(((^x1.x1)(^y1.y1))(^z1.a)))(((^x2.x2)(^y2.y2))(^z2.a))) 5. ==[ beta ]==> ((((^y.y)(^z.a))(((^x1.x1)(^y1.y1))(^z1.a)))(((^x2.x2)(^y2.y2))(^z2.a))) 6. ==[ alpha ]==> ((((^x.x)(^y.a))(((^z.z)(^x1.x1))(^y1.a)))(((^z1.z1)(^x2.x2))(^y2.a))) 7. ==[ beta ]==> (((^y.a)(((^z.z)(^x1.x1))(^y1.a)))(((^z1.z1)(^x2.x2))(^y2.a))) 8. ==[ alpha ]==> (((^x.a)(((^y.y)(^z.z))(^x1.a)))(((^y1.y1)(^z1.z1))(^x2.a))) 9. ==[ beta ]==> (a (((^y1.y1)(^z1.z1))(^x2.a))) 10. ==[ alpha ]==> (a (((^x.x)(^y.y))(^z.a))) 11. ==[ beta ]==> (a ((^y.y)(^z.a))) 12. ==[ alpha ]==> (a ((^x.x)(^y.a))) 13. ==[ beta ]==> (a (^y.a)) 14. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 34716/2152710. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^a.(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(y b))) REDUCED to normal form. ------ 34717/2152905. ------ 1. ==[ start ]==> ((^a.(a b))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((^x.(x b))(((a a) a)(^y.y))) 3. ==[ beta ]==> ((((a a) a)(^y.y)) b) 4. ==[ alpha ]==> ((((a a) a)(^x.x)) b) REDUCED to normal form. ------ 34718/2153223. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.((x1 x1) x1))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.((x1 x1) x1))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.((z z) z))) 5. ==[ beta ]==> ((^y.a)(^z.((z z) z))) 6. ==[ alpha ]==> ((^x.a)(^y.((y y) y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 34719/2153499. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a a)(^b.(^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. ------ 34720/2153511. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 34721/2153763. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^c.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(a (a a)))) REDUCED to normal form. ------ 34722/2153889. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(a (a a)))) 3. ==[ beta ]==> (b (^z.(a (a a)))) 4. ==[ alpha ]==> (b (^x.(a (a a)))) REDUCED to normal form. ------ 34723/2153988. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^c.d)) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.d)) REDUCED to normal form. ------ 34724/2154174. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a a)(^z.a))) 3. ==[ beta ]==> ((((a a)(^z.a))((a a)(^z.a)))(^y.y)) 4. ==[ alpha ]==> ((((a a)(^x.a))((a a)(^y.a)))(^z.z)) REDUCED to normal form. ------ 34725/2154348. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^a.(^b.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. ------ 34726/2154456. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^b.(^a.(^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. ------ 34727/2154465. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 34728/2154492. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^c.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(a a))) 3. ==[ beta ]==> ((a (^y.b))(^z.(a a))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(a a))) REDUCED to normal form. ------ 34729/2154510. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^a.(^a.(^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. ------ 34730/2154546. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^a.b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^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. ------ 34731/2154573. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^a.(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(y y))) REDUCED to normal form. ------ 34732/2154591. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 34733/2154600. ------ 1. ==[ start ]==> (((a b)(^b.a))(^a.a)) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 34734/2154612. ------ 1. ==[ start ]==> ((a a)((a b)(^b.a))) 2. ==[ alpha ]==> ((a a)((a b)(^x.a))) REDUCED to normal form. ------ 34735/2154621. ------ 1. ==[ start ]==> ((a (^a.a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.b)((^z.z) a))) 3. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 34736/2154639. ------ 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. ------ 34737/2154666. ------ 1. ==[ start ]==> ((a b)(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^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. ------ 34738/2154675. ------ 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)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 34739/2154702. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))((a a) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 34740/2154720. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x) 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. ------ 34741/2154747. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 34742/2154756. ------ 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)(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. ------ 34743/2154783. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.x1)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.y)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 34744/2154837. ------ 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 a) REDUCED to normal form. ------ 34745/2154864. ------ 1. ==[ start ]==> ((a (^b.a))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.b)(^z.a))) 3. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 34746/2154945. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((^y.a)((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> ((^x.a)((^y.(y y))(^z.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 34747/2154972. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.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. ------ 34748/2154981. ------ 1. ==[ start ]==> (((a (^a.a)) b)(c (a b))) 2. ==[ alpha ]==> (((a (^x.x)) b)(c (a b))) REDUCED to normal form. ------ 34749/2155008. ------ 1. ==[ start ]==> ((((^a.a) a) a)(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(b ((^y.y)(a a)))) 3. ==[ beta ]==> ((a a)(b ((^y.y)(a a)))) 4. ==[ alpha ]==> ((a a)(b ((^x.x)(a a)))) 5. ==[ beta ]==> ((a a)(b (a a))) REDUCED to normal form. ------ 34750/2155035. ------ 1. ==[ start ]==> (((a a)(^b.a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 34751/2155062. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(a a))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a)(a a))) REDUCED to normal form. ------ 34752/2155089. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a b)(a (^z.z)))) 3. ==[ beta ]==> ((a (^y.y))((a b)(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))((a b)(a (^y.y)))) REDUCED to normal form. ------ 34753/2155197. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(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. ------ 34754/2155242. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 34755/2155296. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(a a))(a a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(a a))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(a a))) 5. ==[ beta ]==> ((^y.y)((^z.(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 a) REDUCED to normal form. ------ 34756/2155323. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> ((a (a a))((^y.b)(a (^z.z)))) 4. ==[ alpha ]==> ((a (a a))((^x.b)(a (^y.y)))) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 34757/2155404. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.z))) 10. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.y))) 11. ==[ beta ]==> (((a a)(a a))(^y.y)) 12. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 34758/2155431. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)((a a) a))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 34759/2155449. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(a (a a)))((a (^x.x))(^y.b))) REDUCED to normal form. ------ 34760/2155476. ------ 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)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a a)(^z.(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a a)(^y.(a a)))) REDUCED to normal form. ------ 34761/2155503. ------ 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 (^x.x)))((a a) a)) REDUCED to normal form. ------ 34762/2155530. ------ 1. ==[ start ]==> (((a (a a))(a a))((a b) b)) REDUCED to normal form. ------ 34763/2155566. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 34764/2155593. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 34765/2155647. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.a))) 5. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 7. ==[ beta ]==> ((^y.a)(^z.a)) 8. ==[ alpha ]==> ((^x.a)(^y.a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 34766/2155656. ------ 1. ==[ start ]==> (((a (a a)) b)(c ((a a) a))) REDUCED to normal form. ------ 34767/2155683. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(b (a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(b (a b))) 3. ==[ beta ]==> (((^y.y) a)(b (a b))) 4. ==[ alpha ]==> (((^x.x) a)(b (a b))) 5. ==[ beta ]==> (a (b (a b))) REDUCED to normal form. ------ 34768/2155701. ------ 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. ------ 34769/2155710. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 34770/2155737. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a b)(a a))) REDUCED to normal form. ------ 34771/2155764. ------ 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. ------ 34772/2155791. ------ 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.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. ------ 34773/2155818. ------ 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. ------ 34774/2155935. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a b)(^y.y))) REDUCED to normal form. ------ 34775/2155962. ------ 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. ------ 34776/2155989. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(^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. ------ 34777/2156025. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (a a)))) 5. ==[ beta ]==> ((^y.(y y))(a (a a))) 6. ==[ alpha ]==> ((^x.(x x))(a (a a))) 7. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 34778/2156079. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))((a a) a))) 6. ==[ alpha ]==> (a ((^x.(^y.y))((a a) a))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 34779/2156187. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^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. ------ 34780/2156241. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.a)(^b.(^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. ------ 34781/2156250. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(c (^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(c (^y.y))) REDUCED to normal form. ------ 34782/2156277. ------ 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. ------ 34783/2156304. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(a (a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(a (a b))) REDUCED to normal form. ------ 34784/2156367. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 34785/2156502. ------ 1. ==[ start ]==> ((a (a b))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((a (a b))(((a a) a)(^x.x))) REDUCED to normal form. ------ 34786/2156511. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^c.a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)(a a))) 3. ==[ beta ]==> ((^y.b)((^z.a)(a a))) 4. ==[ alpha ]==> ((^x.b)((^y.a)(a a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 34787/2156592. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a)(a (a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.a)(a (a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a)(a (a a)))) IRREDUCIBLE: cycle. ------ 34788/2156673. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^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. ------ 34789/2156700. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.(^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. ------ 34790/2156727. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((^y.(y y))(^z.a)) 6. ==[ alpha ]==> ((^x.(x x))(^y.a)) 7. ==[ beta ]==> ((^y.a)(^y.a)) 8. ==[ alpha ]==> ((^x.a)(^y.a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 34791/2156763. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(c (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(c (a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(c (a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(c (a (a a)))) REDUCED to normal form. ------ 34792/2156781. ------ 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.(^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. ------ 34793/2156790. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(b (^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(b (^y.y))) REDUCED to normal form. ------ 34794/2156817. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(a ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(a ((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(a ((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(a ((a a) a))) 5. ==[ beta ]==> ((^y.a)(a ((a a) a))) 6. ==[ alpha ]==> ((^x.a)(a ((a a) a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 34795/2156844. ------ 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. ------ 34796/2156871. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((a (a a))(a (^y.y)))) REDUCED to normal form. ------ 34797/2156988. ------ 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. ------ 34798/2157015. ------ 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. ------ 34799/2157042. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a (^z.a))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(a (^y.a))) REDUCED to normal form. ------ 34800/2157060. ------ 1. ==[ start ]==> (((^a.b) b)(c d)) 2. ==[ alpha ]==> (((^x.b) b)(c d)) 3. ==[ beta ]==> (b (c d)) REDUCED to normal form. ------ 34801/2157069. ------ 1. ==[ start ]==> (((a b)(a a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 34802/2157096. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a a)(^b.(^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. ------ 34803/2157105. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 34804/2157132. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 34805/2157186. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.a))) 5. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 7. ==[ beta ]==> ((^y.a)(^z.a)) 8. ==[ alpha ]==> ((^x.a)(^y.a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 34806/2157276. ------ 1. ==[ start ]==> (((a b) b)((a (a a))(a a))) REDUCED to normal form. ------ 34807/2157303. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)(a (^z.z)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a)(a (^y.y)))) 5. ==[ beta ]==> (((a a) a)(a (a (^y.y)))) 6. ==[ alpha ]==> (((a a) a)(a (a (^x.x)))) REDUCED to normal form. ------ 34808/2157330. ------ 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) a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((a (^y.y)) a)) REDUCED to normal form. ------ 34809/2157348. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(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. ------ 34810/2157357. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a a)(a (a a)))) REDUCED to normal form. ------ 34811/2157402. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(x1 x1))(a a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))(a a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))(a a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))(a a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(a a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(a a))) 9. ==[ beta ]==> ((^y.y)((^z.(z z))(a a))) 10. ==[ alpha ]==> ((^x.x)((^y.(y y))(a a))) 11. ==[ beta ]==> ((^y.(y y))(a a)) 12. ==[ alpha ]==> ((^x.(x x))(a a)) 13. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 34812/2157483. ------ 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 ((^z.z)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.x)(a (a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 34813/2157609. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(y y)) a)) 3. ==[ beta ]==> ((a ((a a) a))((^y.(y y)) a)) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(x x)) a)) 5. ==[ beta ]==> ((a ((a a) a))(a a)) REDUCED to normal form. ------ 34814/2157636. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.a) b)) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.a) b)) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.a) b)) 5. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 34815/2157708. ------ 1. ==[ start ]==> (((^a.b) c)(d a)) 2. ==[ alpha ]==> (((^x.b) c)(d a)) 3. ==[ beta ]==> (b (d a)) REDUCED to normal form. ------ 34816/2157717. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(a (^z.z))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 34817/2157744. ------ 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. ------ 34818/2157771. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)(^y.a))) REDUCED to normal form. ------ 34819/2157807. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^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. ------ 34820/2157942. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(a (^b.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. ------ 34821/2157951. ------ 1. ==[ start ]==> (((a b) c)(c a)) REDUCED to normal form. ------ 34822/2157978. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(b b)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(b b)) 3. ==[ beta ]==> (((a a) b)(b b)) REDUCED to normal form. ------ 34823/2158023. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 34824/2158050. ------ 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.(^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. ------ 34825/2158059. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a (a (^z.z)))) REDUCED to normal form. ------ 34826/2158086. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a a)(a a))) 3. ==[ beta ]==> ((a (^y.b))((a a)(a a))) 4. ==[ alpha ]==> ((a (^x.b))((a a)(a a))) REDUCED to normal form. ------ 34827/2158104. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(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. ------ 34828/2158140. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(a b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^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. ------ 34829/2158167. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(a (a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(a (a a))) REDUCED to normal form. ------ 34830/2158185. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(a (^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(a (^z.z))) 3. ==[ beta ]==> (b (a (^z.z))) 4. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 34831/2158194. ------ 1. ==[ start ]==> (((a b)(^b.a))(a a)) 2. ==[ alpha ]==> (((a b)(^x.a))(a a)) REDUCED to normal form. ------ 34832/2161782. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a)) c) 2. ==[ alpha ]==> (((^x.b)((^y.y) a)) c) 3. ==[ beta ]==> (b c) REDUCED to normal form. ------ 34833/2161791. ------ 1. ==[ start ]==> (((a b)(^b.a)) b) 2. ==[ alpha ]==> (((a b)(^x.a)) b) REDUCED to normal form. ------ 34834/2161815. ------ 1. ==[ start ]==> ((^a.(^a.a))((a b)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 34835/2161989. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 34836/2162058. ------ 1. ==[ start ]==> ((^a.(^b.a))((a b) c)) 2. ==[ alpha ]==> ((^x.(^y.x))((a b) c)) 3. ==[ beta ]==> (^y.((a b) c)) 4. ==[ alpha ]==> (^x.((a b) c)) REDUCED to normal form. ------ 34837/2162232. ------ 1. ==[ start ]==> (((a a)(^b.a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 34838/2162301. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.b) c)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.b) c)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 34839/2162400. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> ((((^y.y) a)((a a) a))((((^y.y) a)((a a) a))(((^y.y) a)((a a) a)))) 4. ==[ alpha ]==> ((((^x.x) a)((a a) a))((((^y.y) a)((a a) a))(((^z.z) a)((a a) a)))) 5. ==[ beta ]==> ((a ((a a) a))((((^y.y) a)((a a) a))(((^z.z) a)((a a) a)))) 6. ==[ alpha ]==> ((a ((a a) a))((((^x.x) a)((a a) a))(((^y.y) a)((a a) a)))) 7. ==[ beta ]==> ((a ((a a) a))((a ((a a) a))(((^y.y) a)((a a) a)))) 8. ==[ alpha ]==> ((a ((a a) a))((a ((a a) a))(((^x.x) a)((a a) a)))) 9. ==[ beta ]==> ((a ((a a) a))((a ((a a) a))(a ((a a) a)))) REDUCED to normal form. ------ 34840/2162475. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 34841/2162625. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 34842/2162907. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 34843/2163312. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(a z))) 3. ==[ eta ]==> ((((^x.x)(^y.y)) b) a) 4. ==[ beta ]==> (((^y.y) b) a) 5. ==[ alpha ]==> (((^x.x) b) a) 6. ==[ beta ]==> (b a) REDUCED to normal form. ------ 34844/2163501. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^b.(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 34845/2163516. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.b) a)) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.b) a)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 34846/2163690. ------ 1. ==[ start ]==> (((^a.b) a)(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(^z.b))) 3. ==[ beta ]==> (b (^y.(^z.b))) 4. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 34847/2163852. ------ 1. ==[ start ]==> ((((a a) a) b)(^b.((a a) a))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.((a a) a))) REDUCED to normal form. ------ 34848/2164014. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^b.(^c.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. ------ 34849/2164083. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(a a)) c)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(z z)) c)) 3. ==[ beta ]==> (^y.(((^z.(z z)) c)((^z.(z z)) c))) 4. ==[ alpha ]==> (^x.(((^y.(y y)) c)((^z.(z z)) c))) 5. ==[ beta ]==> (^x.((c c)((^z.(z z)) c))) 6. ==[ alpha ]==> (^x.((c c)((^y.(y y)) c))) 7. ==[ beta ]==> (^x.((c c)(c c))) REDUCED to normal form. ------ 34850/2164302. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 34851/2164680. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 34852/2164689. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(a (a a)))) REDUCED to normal form. ------ 34853/2164806. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(^y.(y (y y)))) 3. ==[ beta ]==> ((a ((a a) a))(^y.(y (y y)))) 4. ==[ alpha ]==> ((a ((a a) a))(^x.(x (x x)))) REDUCED to normal form. ------ 34854/2164905. ------ 1. ==[ start ]==> (((^a.b) c)(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(^z.(z z)))) 3. ==[ beta ]==> (b (^y.(^z.(z z)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 34855/2164965. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(b c)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(b c)) 3. ==[ beta ]==> (((b c)(b c))(^y.y)) 4. ==[ alpha ]==> (((b c)(b c))(^x.x)) REDUCED to normal form. ------ 34856/2165139. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^b.c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.c)) 3. ==[ beta ]==> (b (^z.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 34857/2165148. ------ 1. ==[ start ]==> (((a b) c)(^a.(^b.a))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.x))) REDUCED to normal form. ------ 34858/2165202. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(a (^z.z)))) REDUCED to normal form. ------ 34859/2165256. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 34860/2165301. ------ 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) a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 34861/2165337. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 34862/2165364. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 34863/2165382. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^b.a)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.a)) 3. ==[ beta ]==> (b (^z.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 34864/2165391. ------ 1. ==[ start ]==> (((a b)(^b.a))(^a.(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 34865/2165421. ------ 1. ==[ start ]==> ((a (^a.a))((a b)(^b.a))) 2. ==[ alpha ]==> ((a (^x.x))((a b)(^y.a))) REDUCED to normal form. ------ 34866/2165430. ------ 1. ==[ start ]==> (((^a.a) a)((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.b)((^z.z) a))) 3. ==[ beta ]==> (a ((^y.b)((^z.z) a))) 4. ==[ alpha ]==> (a ((^x.b)((^y.y) a))) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 34867/2165448. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(y y)))) 5. ==[ beta ]==> (((a a) a)(^y.(y y))) 6. ==[ alpha ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 34868/2165475. ------ 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)))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 34869/2165484. ------ 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))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 34870/2165511. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(y y))((a a) a))) 3. ==[ beta ]==> (b ((^y.(y y))((a a) a))) 4. ==[ alpha ]==> (b ((^x.(x x))((a a) a))) 5. ==[ beta ]==> (b (((a a) a)((a a) a))) REDUCED to normal form. ------ 34871/2165538. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^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. ------ 34872/2165556. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 34873/2165565. ------ 1. ==[ start ]==> (((a a) b)((^a.(^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. ------ 34874/2165592. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)((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. ------ 34875/2165610. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a)(^z.z)) a)) 3. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z)) a)) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 34876/2165637. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z)(a a)) b)) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a)) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a)) b)) 5. ==[ beta ]==> (((^y.y)(a a)) b) 6. ==[ alpha ]==> (((^x.x)(a a)) b) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 34877/2165646. ------ 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 a)) REDUCED to normal form. ------ 34878/2165664. ------ 1. ==[ start ]==> ((a (^b.a))((a b) c)) 2. ==[ alpha ]==> ((a (^x.a))((a b) c)) REDUCED to normal form. ------ 34879/2165700. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 34880/2165781. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(^z.b))) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 34881/2165808. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(^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. ------ 34882/2165835. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.a)(^c.(^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. ------ 34883/2165907. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.b) c)) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.b) c)) 3. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 34884/2165925. ------ 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))) 5. ==[ beta ]==> (((a a) a)(((a a) a) a)) REDUCED to normal form. ------ 34885/2165952. ------ 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)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(a (a a)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (a a))) REDUCED to normal form. ------ 34886/2165979. ------ 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. ------ 34887/2166006. ------ 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. ------ 34888/2166078. ------ 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. ------ 34889/2166096. ------ 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 ]==> (((^y.y)(^y.y))(((^z.z)(a a))(^x1.x1))) 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. ------ 34890/2166105. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(a a))(a a))) 3. ==[ beta ]==> (((a (a a)) a)(a a)) REDUCED to normal form. ------ 34891/2166123. ------ 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. ------ 34892/2166132. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 34893/2166150. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((a a) a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^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. ------ 34894/2166159. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 34895/2166186. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 34896/2166204. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a (a a))(^b.(^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. ------ 34897/2166213. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 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. ------ 34898/2166231. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 34899/2166321. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((b b)((^y.(a a))(^z.z))) 4. ==[ alpha ]==> ((b b)((^x.(a a))(^y.y))) 5. ==[ beta ]==> ((b b)(a a)) REDUCED to normal form. ------ 34900/2166366. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((a a) a) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((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. ------ 34901/2166456. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.a)(^y.a))) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 34902/2166483. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> (a ((^y.(^z.z))(^x1.b))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.b))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 34903/2166510. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 34904/2166528. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(a a)) a)) 3. ==[ beta ]==> ((^y.y)((^z.(a a)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) a)) 5. ==[ beta ]==> ((^y.(a a)) a) 6. ==[ alpha ]==> ((^x.(a a)) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 34905/2166654. ------ 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)((^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)(^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. ------ 34906/2166681. ------ 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. ------ 34907/2166708. ------ 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. ------ 34908/2166825. ------ 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.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(y y)))) 5. ==[ beta ]==> ((a (a a))(^y.(y y))) 6. ==[ alpha ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 34909/2166879. ------ 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)(^y.a))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (^z.z))(^x1.a))) 5. ==[ beta ]==> (a ((a (^z.z))(^x1.a))) 6. ==[ alpha ]==> (a ((a (^x.x))(^y.a))) REDUCED to normal form. ------ 34910/2166915. ------ 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. ------ 34911/2166942. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.b)(^y.y))) 3. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 34912/2166960. ------ 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. ------ 34913/2166996. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.(^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. ------ 34914/2167023. ------ 1. ==[ start ]==> ((((^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 x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.(x x)))((^z.(z z))(^z.(z z)))) 6. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 34915/2167050. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.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. ------ 34916/2167104. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(^z.b))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.b)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.b)) REDUCED to normal form. ------ 34917/2167122. ------ 1. ==[ start ]==> ((a (^a.b))((^a.b) a)) 2. ==[ alpha ]==> ((a (^x.b))((^y.b) a)) 3. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 34918/2167140. ------ 1. ==[ start ]==> (((a a)((a a) a))(((a a) a)(a a))) REDUCED to normal form. ------ 34919/2167167. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)(a (^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(a (^x1.x1)))) 7. ==[ beta ]==> (((a (^x.x))(^y.y))(a (^x1.x1))) 8. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.z))) REDUCED to normal form. ------ 34920/2167194. ------ 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. ------ 34921/2167221. ------ 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. ------ 34922/2167248. ------ 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))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))((a (^y.y))(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 34923/2167275. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a a)((a a) a))) REDUCED to normal form. ------ 34924/2167293. ------ 1. ==[ start ]==> (((^a.b) a)(a (^a.b))) 2. ==[ alpha ]==> (((^x.b) a)(a (^y.b))) 3. ==[ beta ]==> (b (a (^y.b))) 4. ==[ alpha ]==> (b (a (^x.b))) REDUCED to normal form. ------ 34925/2167311. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((a a) a)(^z.z))) 3. ==[ beta ]==> ((^y.b)(((a a) a)(^z.z))) 4. ==[ alpha ]==> ((^x.b)(((a a) a)(^y.y))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 34926/2167392. ------ 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.(x1 x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) a)(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 34927/2167455. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.x)((a a) a))) 3. ==[ beta ]==> ((((a a) a) b)((a a) a)) REDUCED to normal form. ------ 34928/2167473. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((a a) a) a)) 3. ==[ beta ]==> (b (((a a) a) a)) REDUCED to normal form. ------ 34929/2167482. ------ 1. ==[ start ]==> (((a b) a)((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a b) a)((^x.a)(^y.y))) 3. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 34930/2167500. ------ 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. ------ 34931/2167509. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.(^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. ------ 34932/2167563. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 34933/2167590. ------ 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.(^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. ------ 34934/2167617. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)(^x1.a))) 5. ==[ beta ]==> ((^y.a)((^z.z)(^x1.a))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(^z.a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 34935/2167662. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.(^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. ------ 34936/2167689. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(a a)) c)) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y)) c)) 3. ==[ beta ]==> ((a (^x.(a a)))(c c)) REDUCED to normal form. ------ 34937/2167707. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x) 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. ------ 34938/2167734. ------ 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. ------ 34939/2167761. ------ 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 (^y.y))((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. ------ 34940/2167860. ------ 1. ==[ start ]==> (((^a.b) b)((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) b)((^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. ------ 34941/2167869. ------ 1. ==[ start ]==> (((a b)(a a))(c d)) REDUCED to normal form. ------ 34942/2167905. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a a)(^b.(^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. ------ 34943/2167932. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^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. ------ 34944/2167986. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) a) c)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a) c)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a) c)) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) a) c)) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a) c)) 7. ==[ beta ]==> (((^y.y) a) c) 8. ==[ alpha ]==> (((^x.x) a) c) 9. ==[ beta ]==> (a c) REDUCED to normal form. ------ 34945/2168067. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (b ((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 34946/2168121. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.a) c)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.a) c)) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a) c)) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a) c)) 5. ==[ beta ]==> ((a a)((^y.a) c)) 6. ==[ alpha ]==> ((a a)((^x.a) c)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 34947/2168130. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(c (^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(c (^y.a))) REDUCED to normal form. ------ 34948/2168157. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(b (^z.(z z)))) REDUCED to normal form. ------ 34949/2168202. ------ 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 ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a (a a))(^x1.x1))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (a a))(^y1.y1))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (a a))(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (a a))(^x1.x1))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))(^x1.x1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(^z.z))) 9. ==[ beta ]==> ((^y.y)((a (a a))(^z.z))) 10. ==[ alpha ]==> ((^x.x)((a (a a))(^y.y))) 11. ==[ beta ]==> ((a (a a))(^y.y)) 12. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 34950/2168211. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 34951/2168238. ------ 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 ((^z.a)(a (^x1.x1)))) 10. ==[ alpha ]==> (a ((^x.a)(a (^y.y)))) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 34952/2168265. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(^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. ------ 34953/2168283. ------ 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 ((a a)(^z.(z z)))) 4. ==[ alpha ]==> (b ((a a)(^x.(x x)))) REDUCED to normal form. ------ 34954/2168292. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 34955/2168319. ------ 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))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^z.z))) 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. ------ 34956/2168382. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(b ((^y.y) a))) 3. ==[ beta ]==> (((a (^x.x))(a b))(b a)) REDUCED to normal form. ------ 34957/2168409. ------ 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. ------ 34958/2168436. ------ 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. ------ 34959/2168463. ------ 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. ------ 34960/2168490. ------ 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))) 5. ==[ beta ]==> ((((a a) a) a)((a a) a)) REDUCED to normal form. ------ 34961/2168508. ------ 1. ==[ start ]==> (((^a.b) c)(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)(a (^y.(y y)))) 3. ==[ beta ]==> (b (a (^y.(y y)))) 4. ==[ alpha ]==> (b (a (^x.(x x)))) REDUCED to normal form. ------ 34962/2168571. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(b c)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(b c)) REDUCED to normal form. ------ 34963/2168607. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1) a) a)) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 34964/2168742. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.z) c)) 3. ==[ beta ]==> (b ((^z.z) c)) 4. ==[ alpha ]==> (b ((^x.x) c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 34965/2168751. ------ 1. ==[ start ]==> (((a b) c)(a (^b.a))) 2. ==[ alpha ]==> (((a b) c)(a (^x.a))) REDUCED to normal form. ------ 34966/2168778. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(^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. ------ 34967/2168805. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(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. ------ 34968/2168823. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (^z.z)) a)) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z)) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 34969/2168850. ------ 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) b)) 4. ==[ alpha ]==> ((^x.x)((a a) b)) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 34970/2168859. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.a)(^a.(^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. ------ 34971/2168886. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(b (^z.z))) 3. ==[ beta ]==> ((a (^y.b))(b (^z.z))) 4. ==[ alpha ]==> ((a (^x.b))(b (^y.y))) REDUCED to normal form. ------ 34972/2168904. ------ 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) 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. ------ 34973/2168940. ------ 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. ------ 34974/2168967. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 34975/2168985. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.a) a)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.z) a)) 3. ==[ beta ]==> (b ((^z.z) a)) 4. ==[ alpha ]==> (b ((^x.x) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 34976/2168994. ------ 1. ==[ start ]==> (((a b)(^b.a))(a (^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(a (^y.y))) REDUCED to normal form. ------ 34977/2169011. ------ 1. ==[ start ]==> (^a.((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (^x.((^y.(x x))(x (^z.z)))) 3. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 34978/2169012. ------ 1. ==[ start ]==> (a ((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (a ((^x.(a a))(a (^y.y)))) 3. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 34979/2170725. ------ 1. ==[ start ]==> ((^a.(^a.b))(^a.(a b))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(z b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 34980/2170905. ------ 1. ==[ start ]==> ((^a.(a b))(^a.(^a.b))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(^z.b))) 3. ==[ beta ]==> ((^y.(^z.b)) b) 4. ==[ alpha ]==> ((^x.(^y.b)) b) 5. ==[ beta ]==> (^y.b) 6. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 34981/2172600. ------ 1. ==[ start ]==> (((a b)(^b.a)) c) 2. ==[ alpha ]==> (((a b)(^x.a)) c) REDUCED to normal form. ------ 34982/2172624. ------ 1. ==[ start ]==> ((^a.a)((^b.(a a))(a (^a.a)))) 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 a) REDUCED to normal form. ------ 34983/2172651. ------ 1. ==[ start ]==> ((^a.(a a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.b)((^z.z) a))) 3. ==[ beta ]==> (((^y.b)((^z.z) a))((^y.b)((^z.z) a))) 4. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.b)((^x1.x1) a))) 5. ==[ beta ]==> (b ((^z.b)((^x1.x1) a))) 6. ==[ alpha ]==> (b ((^x.b)((^y.y) a))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 34984/2172678. ------ 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. ------ 34985/2172759. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.a)(a b))) 3. ==[ beta ]==> (((^z.a)(a b))(^y.y)) 4. ==[ alpha ]==> (((^x.a)(a b))(^y.y)) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 34986/2172948. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(^a.a))(^b.(^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. ------ 34987/2173068. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.((x1 x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^x1.((x1 x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y)(^z.z)))) 5. ==[ beta ]==> (^y.((y y)(^z.z))) 6. ==[ alpha ]==> (^x.((x x)(^y.y))) REDUCED to normal form. ------ 34988/2173119. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a b)(a (^z.z)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 34989/2173518. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (a (^y.y)))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.((^z.z)(a a)))) 5. ==[ beta ]==> ((a (a (^x.x)))(^y.(a a))) REDUCED to normal form. ------ 34990/2173569. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.b)(^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. ------ 34991/2173743. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(z z)))) 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. ------ 34992/2173950. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.(^z.(y y)))) REDUCED to normal form. ------ 34993/2174130. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^c.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(^x1.b))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.b))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.b))) 5. ==[ beta ]==> (b (^y.(^z.b))) 6. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 34994/2174334. ------ 1. ==[ start ]==> ((^a.(^a.b))(a (a b))) 2. ==[ alpha ]==> ((^x.(^y.b))(a (a b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 34995/2174337. ------ 1. ==[ start ]==> ((a (^a.b))(^a.(a b))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(y b))) REDUCED to normal form. ------ 34996/2174514. ------ 1. ==[ start ]==> ((^a.(a b))(a (^a.b))) 2. ==[ alpha ]==> ((^x.(x b))(a (^y.b))) 3. ==[ beta ]==> ((a (^y.b)) b) 4. ==[ alpha ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 34997/2174517. ------ 1. ==[ start ]==> ((a (a b))(^a.(^a.b))) 2. ==[ alpha ]==> ((a (a b))(^x.(^y.b))) REDUCED to normal form. ------ 34998/2174670. ------ 1. ==[ start ]==> ((((a a) a) b)(^c.(^c.a))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.a))) REDUCED to normal form. ------ 34999/2174901. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (a a))(a (^z.z)))) 3. ==[ beta ]==> (^y.(((a (a a))(a (^z.z)))((a (a a))(a (^z.z))))) 4. ==[ alpha ]==> (^x.(((a (a a))(a (^y.y)))((a (a a))(a (^z.z))))) REDUCED to normal form. ------ 35000/2175108. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(^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. ------ 35001/2175282. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (b (^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 35002/2175507. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 35003/2175624. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((a ((a a) a))(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 35004/2175723. ------ 1. ==[ start ]==> (((^a.b) c)(^b.d)) 2. ==[ alpha ]==> (((^x.b) c)(^y.d)) 3. ==[ beta ]==> (b (^y.d)) 4. ==[ alpha ]==> (b (^x.d)) REDUCED to normal form. ------ 35005/2175732. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 35006/2175783. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((((^z.(^x1.x1))(a (^y1.y1)))((^z.(^x1.x1))(a (^y1.y1))))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1))(a (^z1.z1))))(^x2.x2)) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))(a (^z1.z1))))(^x2.x2)) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(a (^x1.x1))))(^y1.y1)) 7. ==[ beta ]==> (((^y.(^z.z))(a (^x1.x1)))(^y1.y1)) 8. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 35007/2175957. ------ 1. ==[ start ]==> (((^a.b)(^b.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)))) REDUCED to normal form. ------ 35008/2175966. ------ 1. ==[ start ]==> (((a b) c)(^b.c)) 2. ==[ alpha ]==> (((a b) c)(^x.c)) REDUCED to normal form. ------ 35009/2176074. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^c.b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.b)) REDUCED to normal form. ------ 35010/2176155. ------ 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. ------ 35011/2176200. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^a.(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(z z))) 3. ==[ beta ]==> (b (^z.(z z))) 4. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 35012/2176209. ------ 1. ==[ start ]==> (((a b)(^b.a))(^b.a)) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.a)) REDUCED to normal form. ------ 35013/2176239. ------ 1. ==[ start ]==> ((a a)((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.(a a))(a (^y.y)))) 3. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 35014/2176257. ------ 1. ==[ start ]==> (((^a.a) a)((a b)(^b.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. ------ 35015/2176266. ------ 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)) b) REDUCED to normal form. ------ 35016/2176284. ------ 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. ------ 35017/2176293. ------ 1. ==[ start ]==> ((a b)((^c.a)(a (a a)))) 2. ==[ alpha ]==> ((a b)((^x.a)(a (a a)))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 35018/2176311. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 35019/2176338. ------ 1. ==[ start ]==> (((^a.a) b)((a (a a))(^c.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. ------ 35020/2176347. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(x x))((a a) a))) 3. ==[ beta ]==> (((a a)(a a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 35021/2176365. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^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. ------ 35022/2176374. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.a)(a b))) 3. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 35023/2176392. ------ 1. ==[ start ]==> (((a a) b)((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a) b)((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 35024/2176446. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 35025/2176473. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(a a)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((a a) b)) REDUCED to normal form. ------ 35026/2176509. ------ 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. ------ 35027/2176563. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.(^a.a))(^b.(^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. ------ 35028/2176653. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.y) a)(b ((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)(b ((^y.y)(a a)))) 5. ==[ beta ]==> (a (b ((^y.y)(a a)))) 6. ==[ alpha ]==> (a (b ((^x.x)(a a)))) 7. ==[ beta ]==> (a (b (a a))) REDUCED to normal form. ------ 35029/2176680. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 35030/2176716. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(a a)) b)) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a)) b)) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a)) b)) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 35031/2176734. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a b)(a (^y.y)))) REDUCED to normal form. ------ 35032/2176842. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)((a a) a))) 5. ==[ beta ]==> ((((^y.y) a)((a a) a))(((^y.y) a)((a a) a))) 6. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((^y.y) a)((a a) a))) 7. ==[ beta ]==> ((a ((a a) a))(((^y.y) a)((a a) a))) 8. ==[ alpha ]==> ((a ((a a) a))(((^x.x) a)((a a) a))) 9. ==[ beta ]==> ((a ((a a) a))(a ((a a) a))) REDUCED to normal form. ------ 35033/2176869. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 35034/2176932. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(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. ------ 35035/2176959. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 35036/2176986. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((a a) a)(^z.a))) REDUCED to normal form. ------ 35037/2177013. ------ 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.(z1 z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(x1 x1)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(x1 x1))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 35038/2177040. ------ 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)))) REDUCED to normal form. ------ 35039/2177076. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.a)((a a) a))) 3. ==[ beta ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 35040/2177103. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(a b))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 35041/2177130. ------ 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. ------ 35042/2177148. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y)(a a)) a)) 3. ==[ beta ]==> ((b b)(((^y.y)(a a)) a)) 4. ==[ alpha ]==> ((b b)(((^x.x)(a a)) a)) 5. ==[ beta ]==> ((b b)((a a) a)) REDUCED to normal form. ------ 35043/2177157. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(a a))(^y.y))) 3. ==[ beta ]==> (((a (a a))(a a))(a a)) REDUCED to normal form. ------ 35044/2177184. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 35045/2177328. ------ 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. ------ 35046/2177355. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(a ((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)(a ((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y)(a a)))) 5. ==[ beta ]==> (a ((^y.y)(a a))) 6. ==[ alpha ]==> (a ((^x.x)(a a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 35047/2177364. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(a a)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 35048/2177391. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.b) b)) 3. ==[ beta ]==> ((a (^y.a))((^z.b) b)) 4. ==[ alpha ]==> ((a (^x.a))((^y.b) b)) 5. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 35049/2177409. ------ 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 (^z.z)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((a a) a)(a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a) a)(a (^z.z)))) REDUCED to normal form. ------ 35050/2177535. ------ 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))) 5. ==[ beta ]==> ((a a)(b (^y.b))) 6. ==[ alpha ]==> ((a a)(b (^x.b))) REDUCED to normal form. ------ 35051/2177562. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(a (^y.(a a)))) REDUCED to normal form. ------ 35052/2177589. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.b)(a a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.b)(a a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.b)(a a))) 5. ==[ beta ]==> ((a a)((^y.b)(a a))) 6. ==[ alpha ]==> ((a a)((^x.b)(a a))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 35053/2177742. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a a)(^z.b))) 3. ==[ beta ]==> (((^y.y) b)((a a)(^z.b))) 4. ==[ alpha ]==> (((^x.x) b)((a a)(^y.b))) 5. ==[ beta ]==> (b ((a a)(^y.b))) 6. ==[ alpha ]==> (b ((a a)(^x.b))) REDUCED to normal form. ------ 35054/2177769. ------ 1. ==[ start ]==> ((((a a) a) a)((a b) a)) REDUCED to normal form. ------ 35055/2177823. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1)) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1) c)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1) c)) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) c) REDUCED to normal form. ------ 35056/2177949. ------ 1. ==[ start ]==> ((a (^a.b))(a (a b))) 2. ==[ alpha ]==> ((a (^x.b))(a (a b))) REDUCED to normal form. ------ 35057/2178102. ------ 1. ==[ start ]==> ((((a a) a)(a a))(b (^c.a))) 2. ==[ alpha ]==> ((((a a) a)(a a))(b (^x.a))) REDUCED to normal form. ------ 35058/2178129. ------ 1. ==[ start ]==> ((a (a b))(a (^a.b))) 2. ==[ alpha ]==> ((a (a b))(a (^x.b))) REDUCED to normal form. ------ 35059/2178282. ------ 1. ==[ start ]==> ((((a a) a) b)((a a)(^c.a))) 2. ==[ alpha ]==> ((((a a) a) b)((a a)(^x.a))) REDUCED to normal form. ------ 35060/2178309. ------ 1. ==[ start ]==> (((a b) a)(((a a) a) a)) REDUCED to normal form. ------ 35061/2178336. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (((a a)(^x.b))((^z.z) b)) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.y) b)) 5. ==[ beta ]==> (((a a)(^x.b)) b) REDUCED to normal form. ------ 35062/2178489. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> (b (((^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. ------ 35063/2178498. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 35064/2178516. ------ 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. ------ 35065/2178588. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(b (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 35066/2178642. ------ 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.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))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 35067/2178669. ------ 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 (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 35068/2178687. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.a))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.a))) 5. ==[ beta ]==> (b (a (^y.a))) 6. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 35069/2178696. ------ 1. ==[ start ]==> (((a b)(a a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.a)((^y.y) a))) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 35070/2178723. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 35071/2178894. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b (a ((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 35072/2178903. ------ 1. ==[ start ]==> (((a b) b)((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 35073/2178930. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(y y)) b)) 3. ==[ beta ]==> (((a a) a)((^y.(y y)) b)) 4. ==[ alpha ]==> (((a a) a)((^x.(x x)) b)) 5. ==[ beta ]==> (((a a) a)(b b)) REDUCED to normal form. ------ 35074/2178948. ------ 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. ------ 35075/2178957. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.a) c)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a) c)) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 35076/2178975. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((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. ------ 35077/2179038. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (a a))(^z.z))) REDUCED to normal form. ------ 35078/2179065. ------ 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)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z) a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((((^y.y) a)(^z.(^x1.x1)))(((^y.y) a)(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 9. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 10. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 11. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.(^y1.y1)))) 12. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 35079/2179092. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 35080/2179119. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(^z.(z z)))) REDUCED to normal form. ------ 35081/2179146. ------ 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)) REDUCED to normal form. ------ 35082/2179182. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.a)(^z.(^x1.x1)))) 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. ------ 35083/2179209. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(^a.a))(^b.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. ------ 35084/2179236. ------ 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)))) 5. ==[ beta ]==> ((a ((a a) a))(^y.(y y))) 6. ==[ alpha ]==> ((a ((a a) a))(^x.(x x))) REDUCED to normal form. ------ 35085/2179317. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(b (^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) 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. ------ 35086/2179335. ------ 1. ==[ start ]==> (((^a.b) c)((^a.a) d)) 2. ==[ alpha ]==> (((^x.b) c)((^y.y) d)) 3. ==[ beta ]==> (b ((^y.y) d)) 4. ==[ alpha ]==> (b ((^x.x) d)) 5. ==[ beta ]==> (b d) REDUCED to normal form. ------ 35087/2179344. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(a (^y.(y y)))) REDUCED to normal form. ------ 35088/2179371. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.a)(a a))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(a a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(a a))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 35089/2179398. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(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. ------ 35090/2179569. ------ 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. ------ 35091/2179578. ------ 1. ==[ start ]==> (((a b) c)((^a.a) c)) 2. ==[ alpha ]==> (((a b) c)((^x.x) c)) 3. ==[ beta ]==> (((a b) c) c) REDUCED to normal form. ------ 35092/2179605. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a (^y.y))(^z.z))) 3. ==[ beta ]==> (((a a) b)((a (^y.y))(^z.z))) 4. ==[ alpha ]==> (((a a) b)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 35093/2179632. ------ 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. ------ 35094/2179677. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(b (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 35095/2179686. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a a) b)) REDUCED to normal form. ------ 35096/2179713. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(^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. ------ 35097/2179731. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a a)(a a))) 2. ==[ alpha ]==> (((^x.(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. ------ 35098/2179767. ------ 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. ------ 35099/2179794. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a a) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a a) a)) REDUCED to normal form. ------ 35100/2179812. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(a (a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(a (a a))) 3. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 35101/2179821. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.a) a)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.y) a)) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 35102/2179847. ------ 1. ==[ start ]==> (^a.(((^a.a)(a a))(^a.(^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. ------ 35103/2179848. ------ 1. ==[ start ]==> (a (((^a.a)(a a))(^a.(^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. ------ 35104/2181561. ------ 1. ==[ start ]==> ((^a.(^a.b))(^b.(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.z))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 35105/2183463. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a))) a) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z))) a) 3. ==[ beta ]==> (((a a)(^y.(^z.z))) a) 4. ==[ alpha ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 35106/2183469. ------ 1. ==[ start ]==> ((^a.a)(((^a.a)(a a))(^a.(^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. ------ 35107/2183478. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 35108/2183496. ------ 1. ==[ start ]==> ((^a.(a a))((a b)(^b.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. ------ 35109/2183523. ------ 1. ==[ start ]==> ((^a.b)(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.b)(((a a) a)(^y.(y y)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 35110/2183559. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 35111/2183604. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> ((((^z.z) a)(^x1.b))(^y.y)) 4. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.z)) 5. ==[ beta ]==> ((a (^y.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 35112/2183670. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 35113/2183721. ------ 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 a)) REDUCED to normal form. ------ 35114/2183913. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 35115/2183922. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.((x1 x1)(^y1.y1)))) REDUCED to normal form. ------ 35116/2184138. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) 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)(^x.(a a))) REDUCED to normal form. ------ 35117/2184288. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 35118/2184414. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a b) b)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a b) 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. ------ 35119/2184588. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(a a)))) 5. ==[ beta ]==> (^y.(^z.(a a))) 6. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 35120/2184597. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^z.(z z))) REDUCED to normal form. ------ 35121/2184846. ------ 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. ------ 35122/2185179. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.z)(^x1.b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 35123/2185182. ------ 1. ==[ start ]==> ((a (^a.b))(^b.(^a.b))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(^z.y))) REDUCED to normal form. ------ 35124/2185353. ------ 1. ==[ start ]==> (((^a.b) a)(^c.((a a) a))) 2. ==[ alpha ]==> (((^x.b) a)(^y.((a a) a))) 3. ==[ beta ]==> (b (^y.((a a) a))) 4. ==[ alpha ]==> (b (^x.((a a) a))) REDUCED to normal form. ------ 35125/2185371. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.b))) 3. ==[ beta ]==> ((^y.b)(^z.(^x1.b))) 4. ==[ alpha ]==> ((^x.b)(^y.(^z.b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 35126/2185533. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.((a a) a))) 3. ==[ beta ]==> (b (^z.((a a) a))) 4. ==[ alpha ]==> (b (^x.((a a) a))) REDUCED to normal form. ------ 35127/2185704. ------ 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. ------ 35128/2185953. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(((a (^z.z))(^x1.(x1 x1)))((a (^z.z))(^x1.(x1 x1))))) 4. ==[ alpha ]==> ((^x.x)(((a (^y.y))(^z.(z z)))((a (^x1.x1))(^y1.(y1 y1))))) 5. ==[ beta ]==> (((a (^y.y))(^z.(z z)))((a (^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 35129/2185992. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 35130/2186127. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 35131/2186136. ------ 1. ==[ start ]==> (((a b) b)(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b) b)(^x.(^z.z))) 4. ==[ alpha ]==> (((a b) b)(^x.(^y.y))) REDUCED to normal form. ------ 35132/2186262. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 10. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 11. ==[ beta ]==> (^y.(^z.(^x1.x1))) 12. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 35133/2186568. ------ 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 (^x.a)) REDUCED to normal form. ------ 35134/2186628. ------ 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 ]==> ((((a (^z.z))(^x1.(^y1.y1)))((a (^z.z))(^x1.(^y1.y1))))(^y.y)) 4. ==[ alpha ]==> ((((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1))))(^x2.x2)) REDUCED to normal form. ------ 35135/2186667. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^b.((^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 ]==> (^x.a) REDUCED to normal form. ------ 35136/2186811. ------ 1. ==[ start ]==> (((a b) c)(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a b) c)(^x.(a (^y.y)))) REDUCED to normal form. ------ 35137/2186883. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(a (^z.z)))) REDUCED to normal form. ------ 35138/2186946. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.b))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(y (^z.z)))) REDUCED to normal form. ------ 35139/2187027. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^a.b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.b)) REDUCED to normal form. ------ 35140/2187045. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 35141/2187054. ------ 1. ==[ start ]==> (((a b)(^b.a))(^a.(a a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(y y))) REDUCED to normal form. ------ 35142/2187081. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(^a.a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.x1)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 35143/2187093. ------ 1. ==[ start ]==> ((a a)(((^a.a)(a a))(^a.(^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. ------ 35144/2187102. ------ 1. ==[ start ]==> ((a (^a.a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 35145/2187120. ------ 1. ==[ start ]==> ((a (a a))((a b)(^b.a))) 2. ==[ alpha ]==> ((a (a a))((a b)(^x.a))) REDUCED to normal form. ------ 35146/2187129. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z) a))) 5. ==[ beta ]==> ((^y.b)((^z.z) a)) 6. ==[ alpha ]==> ((^x.b)((^y.y) a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 35147/2187147. ------ 1. ==[ start ]==> ((a b)(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((a b)(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 35148/2187183. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 35149/2187228. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> ((a (a (^x.x)))(a (^z.b))) 4. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.b))) REDUCED to normal form. ------ 35150/2187237. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.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. ------ 35151/2187264. ------ 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.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. ------ 35152/2187291. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^x.x))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 35153/2187345. ------ 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 a)) REDUCED to normal form. ------ 35154/2187363. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a b) c)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a b) c)) REDUCED to normal form. ------ 35155/2187426. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(^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. ------ 35156/2187507. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(^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. ------ 35157/2187516. ------ 1. ==[ start ]==> (((a a)(^b.a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(b ((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(^x.a))(b (a a))) REDUCED to normal form. ------ 35158/2187543. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a ((a a)(^x1.x1)))) REDUCED to normal form. ------ 35159/2187570. ------ 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. ------ 35160/2187606. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.b) c)) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.b) c)) 3. ==[ beta ]==> (((a a) a)((^y.b) c)) 4. ==[ alpha ]==> (((a a) a)((^x.b) c)) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 35161/2187678. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(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)))) 5. ==[ beta ]==> ((a a)((a (a a))(^y.y))) 6. ==[ alpha ]==> ((a a)((a (a a))(^x.x))) REDUCED to normal form. ------ 35162/2187723. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(c (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 35163/2187759. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a b)((a a)((^y.y)(a a)))) 4. ==[ alpha ]==> ((a b)((a a)((^x.x)(a a)))) 5. ==[ beta ]==> ((a b)((a a)(a a))) REDUCED to normal form. ------ 35164/2187804. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(a a))(a a))) 3. ==[ beta ]==> ((a (a a))((^y.(a a))(a a))) 4. ==[ alpha ]==> ((a (a a))((^x.(a a))(a a))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 35165/2187831. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 35166/2187885. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(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. ------ 35167/2187912. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(((^x1.x1)(^y1.y1))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.x1))) 9. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 10. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 35168/2187957. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> (((a (^x.x)) a)((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))(^z.b))) REDUCED to normal form. ------ 35169/2187984. ------ 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. ------ 35170/2188011. ------ 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. ------ 35171/2188038. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a b) b)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a b) b)) 3. ==[ beta ]==> ((a (^y.y))((a b) b)) 4. ==[ alpha ]==> ((a (^x.x))((a b) b)) REDUCED to normal form. ------ 35172/2188047. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 35173/2188128. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 9. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 35174/2188182. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.b))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 35175/2188191. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(b (a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (a b))) REDUCED to normal form. ------ 35176/2188209. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(a a)))) 5. ==[ beta ]==> ((^y.y)(^z.(a a))) 6. ==[ alpha ]==> ((^x.x)(^y.(a a))) 7. ==[ beta ]==> (^y.(a a)) 8. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 35177/2188218. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a (a a))) REDUCED to normal form. ------ 35178/2188245. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a b)(a a))) 3. ==[ beta ]==> ((a (^y.a))((a b)(a a))) 4. ==[ alpha ]==> ((a (^x.a))((a b)(a a))) REDUCED to normal form. ------ 35179/2188272. ------ 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. ------ 35180/2188299. ------ 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))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1) 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) 13. ==[ beta ]==> a REDUCED to normal form. ------ 35181/2188443. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a b)(^z.z))) 3. ==[ beta ]==> (((^y.y)(a a))((a b)(^z.z))) 4. ==[ alpha ]==> (((^x.x)(a a))((a b)(^y.y))) 5. ==[ beta ]==> ((a a)((a b)(^y.y))) 6. ==[ alpha ]==> ((a a)((a b)(^x.x))) REDUCED to normal form. ------ 35182/2188470. ------ 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. ------ 35183/2188506. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.(^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. ------ 35184/2188560. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (a ((^z.a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (a ((^x.a)((^y.y)(^z.z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 35185/2188641. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.b)(^z.z))) 3. ==[ beta ]==> (((a a) a)((^y.b)(^z.z))) 4. ==[ alpha ]==> (((a a) a)((^x.b)(^y.y))) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 35186/2188722. ------ 1. ==[ start ]==> (((^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 x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(z z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))(^z.(z z)))) 7. ==[ beta ]==> ((a a)((^y.(y y))(^z.(z z)))) 8. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(y y)))) 9. ==[ beta ]==> ((a a)((^y.(y y))(^y.(y y)))) 10. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 35187/2188785. ------ 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. ------ 35188/2188803. ------ 1. ==[ start ]==> ((a (^a.b))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.b))) 3. ==[ beta ]==> ((a (^x.b))(^z.b)) 4. ==[ alpha ]==> ((a (^x.b))(^y.b)) REDUCED to normal form. ------ 35189/2188821. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.b) a)) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.b) a)) 3. ==[ beta ]==> (((a a)((a a) a)) b) REDUCED to normal form. ------ 35190/2188875. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((a (a (a a)))((^y.(^z.z)) c)) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y)) c)) 5. ==[ beta ]==> ((a (a (a a)))(^y.y)) 6. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 35191/2188974. ------ 1. ==[ start ]==> (((^a.b) a)((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.b) a)((a a)((a a) a))) 3. ==[ beta ]==> (b ((a a)((a a) a))) REDUCED to normal form. ------ 35192/2188992. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(a (^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(a (^z.b))) 3. ==[ beta ]==> ((^y.b)(a (^z.b))) 4. ==[ alpha ]==> ((^x.b)(a (^y.b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 35193/2189073. ------ 1. ==[ start ]==> (((^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))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))((^x1.x1) a))) IRREDUCIBLE: cycle. ------ 35194/2189154. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.z)((a a) a))) 3. ==[ beta ]==> (b ((^z.z)((a a) a))) 4. ==[ alpha ]==> (b ((^x.x)((a a) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 35195/2189181. ------ 1. ==[ start ]==> (((^a.a)(a b))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 35196/2189208. ------ 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))(^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. ------ 35197/2189262. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (((a (a a))(a (a a))) a) REDUCED to normal form. ------ 35198/2189298. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(b ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(b ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(b ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)(b ((^y.y)(^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 35199/2189325. ------ 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. ------ 35200/2189352. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> (((a b)(^x.x))((^z.z)(a a))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(a a))) 5. ==[ beta ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 35201/2189388. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(a a)) c)) 2. ==[ alpha ]==> (((a a)(a b))((^x.(x x)) c)) 3. ==[ beta ]==> (((a a)(a b))(c c)) REDUCED to normal form. ------ 35202/2189496. ------ 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.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))(^x1.x1))) 7. ==[ beta ]==> (a (((^y.y)(^z.z))(^x1.x1))) 8. ==[ alpha ]==> (a (((^x.x)(^y.y))(^z.z))) 9. ==[ beta ]==> (a ((^y.y)(^z.z))) 10. ==[ alpha ]==> (a ((^x.x)(^y.y))) 11. ==[ beta ]==> (a (^y.y)) 12. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 35203/2189523. ------ 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. ------ 35204/2189550. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x) 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. ------ 35205/2189577. ------ 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. ------ 35206/2189586. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 35207/2189613. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.x1)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)((^y1.y1)(^z1.z1)))) 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. ------ 35208/2189667. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 9. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 35209/2189748. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 35210/2189757. ------ 1. ==[ start ]==> (((a b) b)(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(a ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a b) b)(a (^y.y))) 4. ==[ alpha ]==> (((a b) b)(a (^x.x))) REDUCED to normal form. ------ 35211/2189784. ------ 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. ------ 35212/2189811. ------ 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. ------ 35213/2189829. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(c (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(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. ------ 35214/2189838. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((a (^z.z)) a)) REDUCED to normal form. ------ 35215/2189883. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(a (^y1.(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(a (^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a (^x1.(^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(a (^x1.(^y1.y1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.(^x1.x1)))) 9. ==[ beta ]==> ((^y.y)(a (^z.(^x1.x1)))) 10. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 11. ==[ beta ]==> (a (^y.(^z.z))) 12. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 35216/2189946. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(c c)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(c c)) REDUCED to normal form. ------ 35217/2189964. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (^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. ------ 35218/2190036. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y) a) b)) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a) b)) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a) b)) 5. ==[ beta ]==> (((a a)(a a))(a b)) REDUCED to normal form. ------ 35219/2190063. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (^y.y)) c)) REDUCED to normal form. ------ 35220/2190117. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(z z)) a)) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(z z)) a)) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(y y)) a)) 5. ==[ beta ]==> (((a (a a))(^x.x))(a a)) REDUCED to normal form. ------ 35221/2190144. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.a) b)) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.a) b)) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a) b)) 5. ==[ beta ]==> ((a (a a))((^y.a) b)) 6. ==[ alpha ]==> ((a (a a))((^x.a) b)) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 35222/2190189. ------ 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))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 35223/2190225. ------ 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. ------ 35224/2190252. ------ 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)))) REDUCED to normal form. ------ 35225/2190288. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((^y.y)((^z.z) a)) 6. ==[ alpha ]==> ((^x.x)((^y.y) a)) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 35226/2190423. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 35227/2190432. ------ 1. ==[ start ]==> (((a b) c)((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b) c)((a a)(a (^x.x)))) REDUCED to normal form. ------ 35228/2190459. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(c a)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(c a)) 3. ==[ beta ]==> (((a a) b)(c a)) REDUCED to normal form. ------ 35229/2190486. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(b b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(b b)) REDUCED to normal form. ------ 35230/2190504. ------ 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)(^x.x))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 35231/2190531. ------ 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))(^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. ------ 35232/2190540. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(b (a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(b (a a))) REDUCED to normal form. ------ 35233/2190567. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(a (a (^z.z)))) 3. ==[ beta ]==> ((a (^y.b))(a (a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.b))(a (a (^y.y)))) REDUCED to normal form. ------ 35234/2190585. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(b (^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(b (^y.y))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(b (^y.y))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(b (^x.x))) REDUCED to normal form. ------ 35235/2190621. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(b a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^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. ------ 35236/2190648. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(a b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(a b)) REDUCED to normal form. ------ 35237/2190666. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (b ((^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. ------ 35238/2190675. ------ 1. ==[ start ]==> (((a b)(^b.a))(a (a a))) 2. ==[ alpha ]==> (((a b)(^x.a))(a (a a))) REDUCED to normal form. ------ 35239/2190702. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(a a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(a a)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(a a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 35240/2192604. ------ 1. ==[ start ]==> ((^a.(a b))(^c.((a a) a))) 2. ==[ alpha ]==> ((^x.(x b))(^y.((a a) a))) 3. ==[ beta ]==> ((^y.((a a) a)) b) 4. ==[ alpha ]==> ((^x.((a a) a)) b) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 35241/2194326. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 35242/2194350. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 35243/2194431. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 35244/2194551. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 35245/2194593. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z)(a a)) b)) 3. ==[ beta ]==> (^y.(((^z.z)(a a)) b)) 4. ==[ alpha ]==> (^x.(((^y.y)(a a)) b)) 5. ==[ beta ]==> (^x.((a a) b)) REDUCED to normal form. ------ 35246/2194794. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 35247/2194836. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(a a)) b)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 35248/2194935. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))((^y.y)(^z.z)))(((a (a a))((^y.y)(^z.z)))((a (a a))((^y.y)(^z.z))))) 4. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((a (a a))((^z.z)(^x1.x1)))((a (a a))((^y1.y1)(^z1.z1))))) 5. ==[ beta ]==> (((a (a a))(^y.y))(((a (a a))((^z.z)(^x1.x1)))((a (a a))((^y1.y1)(^z1.z1))))) 6. ==[ alpha ]==> (((a (a a))(^x.x))(((a (a a))((^y.y)(^z.z)))((a (a a))((^x1.x1)(^y1.y1))))) 7. ==[ beta ]==> (((a (a a))(^x.x))(((a (a a))(^z.z))((a (a a))((^x1.x1)(^y1.y1))))) 8. ==[ alpha ]==> (((a (a a))(^x.x))(((a (a a))(^y.y))((a (a a))((^z.z)(^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. ------ 35249/2195160. ------ 1. ==[ start ]==> ((^a.(^b.(^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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 35250/2195253. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((b b)(^y.((^z.z)(a a)))) 4. ==[ alpha ]==> ((b b)(^x.((^y.y)(a a)))) 5. ==[ beta ]==> ((b b)(^x.(a a))) REDUCED to normal form. ------ 35251/2195469. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 35252/2195874. ------ 1. ==[ start ]==> ((((a a) a) a)(^b.(a b))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.(a x))) 3. ==[ eta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 35253/2196072. ------ 1. ==[ start ]==> (((a a)((a a) a))(^a.(a b))) 2. ==[ alpha ]==> (((a a)((a a) a))(^x.(x b))) REDUCED to normal form. ------ 35254/2196231. ------ 1. ==[ start ]==> ((^a.(a b))((a a)((a a) a))) 2. ==[ alpha ]==> ((^x.(x b))((a a)((a a) a))) 3. ==[ beta ]==> (((a a)((a a) a)) b) REDUCED to normal form. ------ 35255/2196234. ------ 1. ==[ start ]==> ((a (a b))(^c.((a a) a))) 2. ==[ alpha ]==> ((a (a b))(^x.((a a) a))) REDUCED to normal form. ------ 35256/2196405. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^c.(^c.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. ------ 35257/2196414. ------ 1. ==[ start ]==> (((a b) a)(^b.((a a) a))) 2. ==[ alpha ]==> (((a b) a)(^x.((a a) a))) REDUCED to normal form. ------ 35258/2196576. ------ 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. ------ 35259/2196618. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.(^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. ------ 35260/2196864. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 35261/2197008. ------ 1. ==[ start ]==> (((a b) b)(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 35262/2197143. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 35263/2197251. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(a (a a)))) REDUCED to normal form. ------ 35264/2197368. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^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. ------ 35265/2197440. ------ 1. ==[ start ]==> (((^a.b) c)(^d.(^b.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. ------ 35266/2197449. ------ 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)))(^y.a)) REDUCED to normal form. ------ 35267/2197539. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^c.(^b.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. ------ 35268/2197683. ------ 1. ==[ start ]==> (((a b) c)(^d.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 35269/2197710. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.(^z.y))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.y))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.x))) REDUCED to normal form. ------ 35270/2197818. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^b.(^a.(^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. ------ 35271/2197872. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 35272/2197899. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^b.(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(a a))) REDUCED to normal form. ------ 35273/2197917. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^c.a)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.a)) 3. ==[ beta ]==> (b (^z.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 35274/2197926. ------ 1. ==[ start ]==> (((a b)(^b.a))(^b.(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 35275/2197953. ------ 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. ------ 35276/2197983. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 35277/2197992. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(a a))(a (^a.a)))) 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)))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 35278/2198010. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(^z.a))) 3. ==[ beta ]==> ((^y.y)((a b)(^z.a))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.a))) 5. ==[ beta ]==> ((a b)(^y.a)) 6. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 35279/2198019. ------ 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) b) REDUCED to normal form. ------ 35280/2198037. ------ 1. ==[ start ]==> (((^a.a)(a a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(((a a) a)(^y.(y y)))) 3. ==[ beta ]==> ((a a)(((a a) a)(^y.(y y)))) 4. ==[ alpha ]==> ((a a)(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 35281/2198064. ------ 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)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 35282/2198073. ------ 1. ==[ start ]==> (((^a.a) b)((^b.(^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. ------ 35283/2198100. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 35284/2198118. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 35285/2198127. ------ 1. ==[ start ]==> (((a a) b)((^b.a)(a b))) 2. ==[ alpha ]==> (((a a) b)((^x.a)(a b))) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 35286/2198145. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((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. ------ 35287/2198154. ------ 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)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 35288/2198181. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 35289/2198199. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((a a)(^z.z)) a)) 3. ==[ beta ]==> ((^y.y)(((a a)(^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. ------ 35290/2198226. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y)(a a)) b)) 3. ==[ beta ]==> ((a (^x.a))((a a) b)) REDUCED to normal form. ------ 35291/2198262. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.b)(^b.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. ------ 35292/2198343. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.a)(^z.a))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(^z.a))) 5. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 35293/2198370. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.a)(^z.b))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.b))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.b))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 35294/2198397. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^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. ------ 35295/2198469. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(a a)) b)) 3. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 35296/2198487. ------ 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. ------ 35297/2198514. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(((a a) a) a)) REDUCED to normal form. ------ 35298/2198541. ------ 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. ------ 35299/2198568. ------ 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. ------ 35300/2198640. ------ 1. ==[ start ]==> ((((^a.a) a) b)(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(b (^y.(a a)))) 3. ==[ beta ]==> ((a b)(b (^y.(a a)))) 4. ==[ alpha ]==> ((a b)(b (^x.(a a)))) REDUCED to normal form. ------ 35301/2198685. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(a a))(^z.z))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))(^y.y))) 5. ==[ beta ]==> ((a (a a))((a a)(^y.y))) 6. ==[ alpha ]==> ((a (a a))((a a)(^x.x))) REDUCED to normal form. ------ 35302/2198694. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(a a))(a a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 35303/2198712. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 35304/2198721. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) b) REDUCED to normal form. ------ 35305/2198766. ------ 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)(a a))(((^y.y)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.(y y)))) 7. ==[ beta ]==> (((a a)(a a))(^y.(y y))) 8. ==[ alpha ]==> (((a a)(a a))(^x.(x x))) REDUCED to normal form. ------ 35306/2198775. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 35307/2198793. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 35308/2198883. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> ((b b)((^y.y)((^z.z)(a a)))) 4. ==[ alpha ]==> ((b b)((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> ((b b)((^y.y)(a a))) 6. ==[ alpha ]==> ((b b)((^x.x)(a a))) 7. ==[ beta ]==> ((b b)(a a)) REDUCED to normal form. ------ 35309/2198928. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a b) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b) b)) 3. ==[ beta ]==> ((^y.(^z.z))((a b) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((a b) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 35310/2199018. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(a a))(^b.(^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. ------ 35311/2199045. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.a)(^x1.a))) 3. ==[ beta ]==> (((^y.y) a)((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.a)(^z.a))) 5. ==[ beta ]==> (a ((^y.a)(^z.a))) 6. ==[ alpha ]==> (a ((^x.a)(^y.a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 35312/2199072. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 35313/2199099. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(a a))) REDUCED to normal form. ------ 35314/2199144. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.b) b)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.b) b)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.b) b)) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 35315/2199216. ------ 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. ------ 35316/2199243. ------ 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)(^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. ------ 35317/2199270. ------ 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))) REDUCED to normal form. ------ 35318/2199297. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a a)(a b))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a a)(a b))) REDUCED to normal form. ------ 35319/2199387. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.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. ------ 35320/2199441. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a) a)(^b.(^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. ------ 35321/2199477. ------ 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. ------ 35322/2199504. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.a)(a b))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.x)(a b))) 3. ==[ beta ]==> ((((a a) a) a)(a b)) REDUCED to normal form. ------ 35323/2199522. ------ 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. ------ 35324/2199549. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((a a) a) b)) 3. ==[ beta ]==> ((^y.y)(((a a) a) b)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) b)) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 35325/2199558. ------ 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)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 35326/2199585. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 35327/2199612. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(^x.a))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 35328/2199639. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.a)(^b.(^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. ------ 35329/2199702. ------ 1. ==[ start ]==> (((a a)((a a) a))(a (a b))) REDUCED to normal form. ------ 35330/2199729. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((a a) a)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((a a) a)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a) a)(a a))) REDUCED to normal form. ------ 35331/2199756. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a (a (a a)))((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> ((a (a (a a)))((^x.x)(a (^y.y)))) 7. ==[ beta ]==> ((a (a (a a)))(a (^y.y))) 8. ==[ alpha ]==> ((a (a (a a)))(a (^x.x))) REDUCED to normal form. ------ 35332/2199783. ------ 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. ------ 35333/2199810. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1) a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) a)(a (a a)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(a (a a)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(a (a a)))) 7. ==[ beta ]==> ((a (^x.x))(a (a (a a)))) REDUCED to normal form. ------ 35334/2199837. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((a (^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a a))((a (^x.x))(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 35335/2199855. ------ 1. ==[ start ]==> (((^a.b) a)(b (^c.a))) 2. ==[ alpha ]==> (((^x.b) a)(b (^y.a))) 3. ==[ beta ]==> (b (b (^y.a))) 4. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 35336/2199864. ------ 1. ==[ start ]==> ((a (a b))((a a)((a a) a))) REDUCED to normal form. ------ 35337/2199954. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (a a))(^z.a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (a a))(^z.a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (a a))(^z.a))) IRREDUCIBLE: cycle. ------ 35338/2200017. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 35339/2200035. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a a)(^z.a))) 3. ==[ beta ]==> (b ((a a)(^z.a))) 4. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 35340/2200044. ------ 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. ------ 35341/2200062. ------ 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. ------ 35342/2200071. ------ 1. ==[ start ]==> (((a a)(^a.b))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 35343/2200089. ------ 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. ------ 35344/2200125. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 35345/2200152. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x))) a) REDUCED to normal form. ------ 35346/2200179. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 35347/2200224. ------ 1. ==[ start ]==> (((^a.b)(a a))((^c.a) a)) 2. ==[ alpha ]==> (((^x.b)(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. ------ 35348/2200251. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.(^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. ------ 35349/2200269. ------ 1. ==[ start ]==> (((a a)(a b))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 35350/2200296. ------ 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.z) a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(a ((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(a ((^y.y) a))) 5. ==[ beta ]==> (((a (^x.x))((a a) a))(a a)) REDUCED to normal form. ------ 35351/2200323. ------ 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 (^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.z))(a (a a)))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.z))(a (a a)))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 35352/2200350. ------ 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. ------ 35353/2200422. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (b ((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> (b ((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> (b ((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> (b ((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 35354/2200467. ------ 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 a) REDUCED to normal form. ------ 35355/2200494. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a a)(^b.(^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. ------ 35356/2200548. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (a a)) b)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (a a)) b)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((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. ------ 35357/2200638. ------ 1. ==[ start ]==> (((a b) b)((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a b) b)(^x.(^y.y))) REDUCED to normal form. ------ 35358/2200683. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(z z)) b)) 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)) 7. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 35359/2200710. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 35360/2200719. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(c (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(c (^z.a))) REDUCED to normal form. ------ 35361/2200773. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 35362/2200800. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(x1 x1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(z z))(a a))) 5. ==[ beta ]==> ((^y.(y y))((^z.(z z))(a a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(a a))) 7. ==[ beta ]==> (((^y.(y y))(a a))((^y.(y y))(a a))) 8. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(y y))(a a))) 9. ==[ beta ]==> (((a a)(a a))((^y.(y y))(a a))) 10. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(a a))) 11. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 35363/2200827. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 35364/2200845. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a (^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. ------ 35365/2200854. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.(^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. ------ 35366/2200881. ------ 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)(^x.x))(a (a a))) REDUCED to normal form. ------ 35367/2200944. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(c (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(c (a (^y.y)))) REDUCED to normal form. ------ 35368/2200971. ------ 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. ------ 35369/2200998. ------ 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. ------ 35370/2201025. ------ 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. ------ 35371/2201052. ------ 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)))) 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. ------ 35372/2201070. ------ 1. ==[ start ]==> (((^a.b) c)(b (^b.a))) 2. ==[ alpha ]==> (((^x.b) c)(b (^y.a))) 3. ==[ beta ]==> (b (b (^y.a))) 4. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 35373/2201079. ------ 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 (^x.x)))((a a) a)) REDUCED to normal form. ------ 35374/2201169. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((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. ------ 35375/2201304. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) b)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 35376/2201313. ------ 1. ==[ start ]==> (((a b) c)(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(b (^x.(^y.y)))) REDUCED to normal form. ------ 35377/2201340. ------ 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. ------ 35378/2201367. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 35379/2201385. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a a)(^a.(^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)))) REDUCED to normal form. ------ 35380/2201412. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((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. ------ 35381/2201421. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(^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. ------ 35382/2201448. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.a)(^a.(^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. ------ 35383/2201466. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(^z.z)) a)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y)) 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. ------ 35384/2201502. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(a (^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 35385/2201529. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y)(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 35386/2201547. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a a) a)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a a) a)) 3. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 35387/2201556. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 35388/2201583. ------ 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. ------ 35389/2205267. ------ 1. ==[ start ]==> ((^a.(a a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> (((^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)))) 5. ==[ beta ]==> ((a a)((^z.(a a))(a (^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(a (^y.y)))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 35390/2205294. ------ 1. ==[ start ]==> ((^a.b)((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.b)((^y.b)((^z.z) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 35391/2205375. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(z z))((a a) a))) 3. ==[ beta ]==> (((^z.(z z))((a a) a))(^y.y)) 4. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.y)) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 35392/2205735. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 35393/2206152. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(^z.(a a)))) 3. ==[ beta ]==> ((b b)(^y.(^z.(a a)))) 4. ==[ alpha ]==> ((b b)(^x.(^y.(a a)))) REDUCED to normal form. ------ 35394/2206161. ------ 1. ==[ start ]==> (((a (a a))(a a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(a a))(^x.(a a))) REDUCED to normal form. ------ 35395/2206185. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^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. ------ 35396/2206593. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.(y y)))) 5. ==[ beta ]==> ((a a)(^y.(^z.(y y)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(x x)))) REDUCED to normal form. ------ 35397/2206617. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.b)(a a))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.b)(a a))) 3. ==[ beta ]==> ((((^y.b)(a a))((^y.b)(a a)))((^y.b)(a a))) 4. ==[ alpha ]==> ((((^x.b)(a a))((^y.b)(a a)))((^z.b)(a a))) 5. ==[ beta ]==> ((b ((^y.b)(a a)))((^z.b)(a a))) 6. ==[ alpha ]==> ((b ((^x.b)(a a)))((^y.b)(a a))) 7. ==[ beta ]==> ((b b)((^y.b)(a a))) 8. ==[ alpha ]==> ((b b)((^x.b)(a a))) 9. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 35398/2206950. ------ 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. ------ 35399/2206971. ------ 1. ==[ start ]==> (((a a)((a a) a))(^b.(^a.b))) 2. ==[ alpha ]==> (((a a)((a a) a))(^x.(^y.x))) REDUCED to normal form. ------ 35400/2207130. ------ 1. ==[ start ]==> ((^a.(a b))(b (^c.a))) 2. ==[ alpha ]==> ((^x.(x b))(b (^y.a))) 3. ==[ beta ]==> ((b (^y.a)) b) 4. ==[ alpha ]==> ((b (^x.a)) b) REDUCED to normal form. ------ 35401/2207142. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^c.((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.((a a) a))) 3. ==[ beta ]==> ((^y.b)(^z.((a a) a))) 4. ==[ alpha ]==> ((^x.b)(^y.((a a) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 35402/2207313. ------ 1. ==[ start ]==> (((a b) a)(^c.(^c.a))) 2. ==[ alpha ]==> (((a b) a)(^x.(^y.a))) REDUCED to normal form. ------ 35403/2207493. ------ 1. ==[ start ]==> (((^a.b)(a a))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.((y y) y))) 3. ==[ beta ]==> (b (^y.((y y) y))) 4. ==[ alpha ]==> (b (^x.((x x) x))) REDUCED to normal form. ------ 35404/2207517. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> (^y.((((^z.z)(^x1.x1))(a a))(((^z.z)(^x1.x1))(a a)))) 4. ==[ alpha ]==> (^x.((((^y.y)(^z.z))(a a))(((^x1.x1)(^y1.y1))(a a)))) 5. ==[ beta ]==> (^x.(((^z.z)(a a))(((^x1.x1)(^y1.y1))(a a)))) 6. ==[ alpha ]==> (^x.(((^y.y)(a a))(((^z.z)(^x1.x1))(a a)))) 7. ==[ beta ]==> (^x.((a a)(((^z.z)(^x1.x1))(a a)))) 8. ==[ alpha ]==> (^x.((a a)(((^y.y)(^z.z))(a a)))) 9. ==[ beta ]==> (^x.((a a)((^z.z)(a a)))) 10. ==[ alpha ]==> (^x.((a a)((^y.y)(a a)))) 11. ==[ beta ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 35405/2207724. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(((^z.a)((^x1.x1) a))((^z.a)((^x1.x1) a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.a)((^z.z) a))((^x1.a)((^y1.y1) a)))) 5. ==[ beta ]==> (((^y.a)((^z.z) a))((^x1.a)((^y1.y1) a))) 6. ==[ alpha ]==> (((^x.a)((^y.y) a))((^z.a)((^x1.x1) a))) 7. ==[ beta ]==> (a ((^z.a)((^x1.x1) a))) 8. ==[ alpha ]==> (a ((^x.a)((^y.y) a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 35406/2208267. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 35407/2208375. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(^y.(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 35408/2208399. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.a)(a a))) 3. ==[ beta ]==> ((((^z.a)(a a))((^z.a)(a a)))(^y.y)) 4. ==[ alpha ]==> ((((^x.a)(a 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)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 35409/2208609. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^b.c)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.c)) 3. ==[ beta ]==> (((a a) b)(^y.c)) 4. ==[ alpha ]==> (((a a) b)(^x.c)) REDUCED to normal form. ------ 35410/2208717. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^c.b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.b)) 3. ==[ beta ]==> ((a (^y.b))(^z.b)) 4. ==[ alpha ]==> ((a (^x.b))(^y.b)) REDUCED to normal form. ------ 35411/2208735. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.(y (^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.(y (^z.z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(x (^y.y)))) REDUCED to normal form. ------ 35412/2208771. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^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. ------ 35413/2208816. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^a.b)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.b)) 3. ==[ beta ]==> (b (^z.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 35414/2208825. ------ 1. ==[ start ]==> (((a b)(^b.a))(^c.a)) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.a)) REDUCED to normal form. ------ 35415/2208852. ------ 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. ------ 35416/2208900. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a)(a a))(^a.(^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. ------ 35417/2208909. ------ 1. ==[ start ]==> ((a (a a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a a))((^x.(a a))(a (^y.y)))) 3. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 35418/2208927. ------ 1. ==[ start ]==> (((a a) a)((a b)(^b.a))) 2. ==[ alpha ]==> (((a a) a)((a b)(^x.a))) REDUCED to normal form. ------ 35419/2208936. ------ 1. ==[ start ]==> ((a b)((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((a b)((^x.b)((^y.y) a))) 3. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 35420/2208954. ------ 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. ------ 35421/2208981. ------ 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 ((^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. ------ 35422/2208990. ------ 1. ==[ start ]==> (((a a)(a a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 35423/2209017. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(y y))((a a) a))) 3. ==[ beta ]==> ((a (a (^x.x)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 35424/2209035. ------ 1. ==[ start ]==> (((a a) b)(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a a) b)(((^x.x) a)(^y.b))) 3. ==[ beta ]==> (((a a) b)(a (^y.b))) 4. ==[ alpha ]==> (((a a) b)(a (^x.b))) REDUCED to normal form. ------ 35425/2209062. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 35426/2209116. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 35427/2209152. ------ 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. ------ 35428/2209170. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a b) c)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((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. ------ 35429/2209179. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 35430/2209323. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(b ((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y)(a a)))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 35431/2209377. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> ((a (^x.(x x)))((a a)(a a))) REDUCED to normal form. ------ 35432/2209485. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))((a (a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))((a (a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (a a))((^y.y)(^z.z)))((a (a a))((^y.y)(^z.z)))) 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. ------ 35433/2209512. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 35434/2209566. ------ 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 ]==> (((^y.y)(^y.y))((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.y)((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> ((^x.x)((a a)((^y.y)(a a)))) 7. ==[ beta ]==> ((a a)((^y.y)(a a))) 8. ==[ alpha ]==> ((a a)((^x.x)(a a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 35435/2209602. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((a a)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(^y.y))) REDUCED to normal form. ------ 35436/2209629. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 35437/2209656. ------ 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. ------ 35438/2209683. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (a a))(^x.x))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.(z z))) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(y y))) REDUCED to normal form. ------ 35439/2209719. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(x x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a (a a)))(((^y.y)(^z.z))((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a (a a)))((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a)(a (a a)))((^y.y)(^z.z))) 8. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)(^y.y))) 9. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 10. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 35440/2209746. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.a)((a a) a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.a)((a a) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)((a a) a))) 5. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 35441/2209773. ------ 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. ------ 35442/2209791. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a a)(^y.(a a)))) 3. ==[ beta ]==> ((b b)((a a)(^y.(a a)))) 4. ==[ alpha ]==> ((b b)((a a)(^x.(a a)))) REDUCED to normal form. ------ 35443/2209800. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.x)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.y)(a a))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.x)(a a))) 5. ==[ beta ]==> (((a (a a))(a a))(a a)) REDUCED to normal form. ------ 35444/2209827. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.z))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 35445/2209998. ------ 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. ------ 35446/2210034. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(a a)) a)) 3. ==[ beta ]==> ((a (^y.a))((^z.(a a)) a)) 4. ==[ alpha ]==> ((a (^x.a))((^y.(a a)) a)) 5. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 35447/2210052. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a b)(a a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a b)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a b)(a a))) REDUCED to normal form. ------ 35448/2210061. ------ 1. ==[ start ]==> (((a (a a))(^a.(^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. ------ 35449/2210205. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(b (^a.b))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(b (^y.b))) REDUCED to normal form. ------ 35450/2210232. ------ 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. ------ 35451/2210259. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.b)(a a))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.b)(a a))) 3. ==[ beta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 35452/2210385. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (^a.a))(^c.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. ------ 35453/2210412. ------ 1. ==[ start ]==> ((((a a) a) a)((a a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a) a)((a a)(^x.b))) REDUCED to normal form. ------ 35454/2210466. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a) b)) REDUCED to normal form. ------ 35455/2210592. ------ 1. ==[ start ]==> ((a (^a.b))(b ((a a) a))) 2. ==[ alpha ]==> ((a (^x.b))(b ((a a) a))) REDUCED to normal form. ------ 35456/2210610. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.x)(^y.b))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.b)) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.b)) REDUCED to normal form. ------ 35457/2210772. ------ 1. ==[ start ]==> ((a (a b))(b (^c.a))) 2. ==[ alpha ]==> ((a (a b))(b (^x.a))) REDUCED to normal form. ------ 35458/2210781. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a a)((a a) a))) 3. ==[ beta ]==> ((^y.b)((a a)((a a) a))) 4. ==[ alpha ]==> ((^x.b)((a a)((a a) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 35459/2210925. ------ 1. ==[ start ]==> ((((a a) a) b)((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 35460/2210952. ------ 1. ==[ start ]==> (((a b) a)((a a)(^c.a))) 2. ==[ alpha ]==> (((a b) a)((a a)(^x.a))) REDUCED to normal form. ------ 35461/2210979. ------ 1. ==[ start ]==> (((a a)(^a.b))(((a a) a) a)) 2. ==[ alpha ]==> (((a a)(^x.b))(((a a) a) a)) REDUCED to normal form. ------ 35462/2211033. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a (a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (a a)) c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (a a)) c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a)) c)) REDUCED to normal form. ------ 35463/2211132. ------ 1. ==[ start ]==> (((^a.b)(a a))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a a))(a ((a a) a))) 3. ==[ beta ]==> (b (a ((a a) a))) REDUCED to normal form. ------ 35464/2211141. ------ 1. ==[ start ]==> (((a b)(^a.a))((^c.a) a)) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.a) a)) 3. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 35465/2211159. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> ((a (^x.(a a)))((^z.z)(a a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(a a))) 5. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 35466/2211258. ------ 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. ------ 35467/2211312. ------ 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)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 35468/2211330. ------ 1. ==[ start ]==> (((^a.b) b)((a (a a))(^a.(^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. ------ 35469/2211339. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(x x))(a (^y.y)))) 3. ==[ beta ]==> (((a b)(a a))((a (^y.y))(a (^y.y)))) 4. ==[ alpha ]==> (((a b)(a a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 35470/2211366. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((a (a a))((^y.a)((^z.z) a))) 4. ==[ alpha ]==> ((a (a a))((^x.a)((^y.y) a))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 35471/2211375. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(c d)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c d)) 3. ==[ beta ]==> ((^y.(a a))(c d)) 4. ==[ alpha ]==> ((^x.(a a))(c d)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 35472/2211537. ------ 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. ------ 35473/2211573. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z)) a)) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y)) a)) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 35474/2211591. ------ 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. ------ 35475/2211600. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(y y)) b)) 3. ==[ beta ]==> (((a a)(^x.(a a)))(b b)) REDUCED to normal form. ------ 35476/2211618. ------ 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. ------ 35477/2211627. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.a) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 35478/2211672. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a a)(a (a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a a)(a (a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a a)(a (a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a a)(a (a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a)(a (a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a a)(a (a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(a (a a)))) 9. ==[ beta ]==> ((^y.y)((a a)(a (a a)))) 10. ==[ alpha ]==> ((^x.x)((a a)(a (a a)))) 11. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 35479/2211708. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a (a a))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (a a))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (a a))(^z.z))) 5. ==[ beta ]==> ((^y.(y y))((a (a a))(^z.z))) 6. ==[ alpha ]==> ((^x.(x x))((a (a a))(^y.y))) 7. ==[ beta ]==> (((a (a a))(^y.y))((a (a a))(^y.y))) 8. ==[ alpha ]==> (((a (a a))(^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 35480/2211735. ------ 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. ------ 35481/2211753. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(c c)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(c c)) 3. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 35482/2211762. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 35483/2211789. ------ 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 z)))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.(y y)))) REDUCED to normal form. ------ 35484/2211825. ------ 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))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.y))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)(^y.y))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.y))) 7. ==[ beta ]==> (((a a)(a a))(^y.y)) 8. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 35485/2211852. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.a)(^a.(^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. ------ 35486/2211879. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((a ((a a) a))(^y.y)) 6. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 35487/2211906. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.(z z))) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(y y))) REDUCED to normal form. ------ 35488/2211978. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 35489/2211987. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(b (^b.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(b (^y.a))) REDUCED to normal form. ------ 35490/2212014. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(a (^y.(y y)))) 3. ==[ beta ]==> (((a a)(a a))(a (^y.(y y)))) 4. ==[ alpha ]==> (((a a)(a a))(a (^x.(x x)))) REDUCED to normal form. ------ 35491/2212041. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.a)(a a))) 3. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 35492/2212077. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(b c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(b c)) 3. ==[ beta ]==> ((^y.y)(b c)) 4. ==[ alpha ]==> ((^x.x)(b c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 35493/2212212. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (^z.z))(a a))) 3. ==[ beta ]==> (b ((a (^z.z))(a a))) 4. ==[ alpha ]==> (b ((a (^x.x))(a a))) REDUCED to normal form. ------ 35494/2212221. ------ 1. ==[ start ]==> (((a b) c)((^a.(^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. ------ 35495/2212248. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 35496/2212275. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.y))(^z.z))) REDUCED to normal form. ------ 35497/2212293. ------ 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)) REDUCED to normal form. ------ 35498/2212329. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (^z.z)) a)) REDUCED to normal form. ------ 35499/2212356. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a a) b)) 3. ==[ beta ]==> ((a (^y.b))((a a) b)) 4. ==[ alpha ]==> ((a (^x.b))((a a) b)) REDUCED to normal form. ------ 35500/2212374. ------ 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) a))(a (a (^y.y)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(a (a (^x.x)))) REDUCED to normal form. ------ 35501/2212410. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^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. ------ 35502/2212437. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a a)(^y.y))) REDUCED to normal form. ------ 35503/2212455. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(a b)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(a b)) 3. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 35504/2212464. ------ 1. ==[ start ]==> (((a b)(^b.a))((a a) a)) 2. ==[ alpha ]==> (((a b)(^x.a))((a a) a)) REDUCED to normal form. ------ 35505/2212491. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 35506/2212517. ------ 1. ==[ start ]==> (^a.(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (^x.(((x x)(^y.y))(^z.z))) REDUCED to normal form. ------ 35507/2212518. ------ 1. ==[ start ]==> (a (((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (a (((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 35508/2216160. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a)) a) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 35509/2216166. ------ 1. ==[ start ]==> ((^a.a)(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.z))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 35510/2216193. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a)(a a))(^a.(^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. ------ 35511/2216220. ------ 1. ==[ start ]==> ((^a.b)((a b)(^b.a))) 2. ==[ alpha ]==> ((^x.b)((a b)(^y.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 35512/2216394. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a)(^z.z)))) 5. ==[ beta ]==> (^y.((a a)(^z.z))) 6. ==[ alpha ]==> (^x.((a a)(^y.y))) REDUCED to normal form. ------ 35513/2216418. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.(^a.a))(^a.a))) 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. ------ 35514/2216646. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 35515/2216985. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 35516/2217111. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^x1.x1)(a a)) a)) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 35517/2217321. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> ((a (^y.a))(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> ((a (^x.a))(^y.((^z.z)(y y)))) 5. ==[ beta ]==> ((a (^x.a))(^y.(y y))) REDUCED to normal form. ------ 35518/2217543. ------ 1. ==[ start ]==> ((^a.((a a) a))((a b)(^a.a))) 2. ==[ alpha ]==> ((^x.((x x) x))((a b)(^y.y))) 3. ==[ beta ]==> ((((a b)(^y.y))((a b)(^y.y)))((a b)(^y.y))) 4. ==[ alpha ]==> ((((a b)(^x.x))((a b)(^y.y)))((a b)(^z.z))) REDUCED to normal form. ------ 35519/2217717. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^b.(a b))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(a y))) 3. ==[ eta ]==> (((^x.x)((a a) a)) a) 4. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 35520/2217876. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 35521/2218257. ------ 1. ==[ start ]==> (((^a.a)(a b))(^b.((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))) REDUCED to normal form. ------ 35522/2218419. ------ 1. ==[ start ]==> (((^a.b)(a a))(^b.(^c.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. ------ 35523/2218428. ------ 1. ==[ start ]==> (((a b)(^a.a))(^a.((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.((y y) y))) REDUCED to normal form. ------ 35524/2218650. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((((^z.z) a)(^x1.a))(((^z.z) a)(^x1.a)))) 4. ==[ alpha ]==> ((^x.x)((((^y.y) a)(^z.a))(((^x1.x1) a)(^y1.a)))) 5. ==[ beta ]==> ((((^y.y) a)(^z.a))(((^x1.x1) a)(^y1.a))) 6. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z) a)(^x1.a))) 7. ==[ beta ]==> ((a (^y.a))(((^z.z) a)(^x1.a))) 8. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)(^z.a))) 9. ==[ beta ]==> ((a (^x.a))(a (^z.a))) 10. ==[ alpha ]==> ((a (^x.a))(a (^y.a))) REDUCED to normal form. ------ 35525/2218860. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^a.((^a.a)(^a.a)))) 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)(^x.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 35526/2218968. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^c.(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(a (a a)))) REDUCED to normal form. ------ 35527/2219325. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((((^z.z) a)(^x1.x1))(((^z.z) a)(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> (((((^x.x) a)(^y.y))(((^z.z) a)(^x1.x1)))(^y1.y1)) 5. ==[ beta ]==> (((a (^y.y))(((^z.z) a)(^x1.x1)))(^y1.y1)) 6. ==[ alpha ]==> (((a (^x.x))(((^y.y) a)(^z.z)))(^x1.x1)) 7. ==[ beta ]==> (((a (^x.x))(a (^z.z)))(^x1.x1)) 8. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 35528/2219535. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 35529/2219607. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(^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. ------ 35530/2219616. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^a.c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.c)) REDUCED to normal form. ------ 35531/2219661. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^b.(^a.(^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. ------ 35532/2219697. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^c.(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 35533/2219742. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^b.(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(a a))) 3. ==[ beta ]==> (b (^z.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 35534/2219751. ------ 1. ==[ start ]==> (((a b)(^b.a))(^a.b)) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.b)) REDUCED to normal form. ------ 35535/2219778. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 35536/2219805. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^a.a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 35537/2219817. ------ 1. ==[ start ]==> ((a a)(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 35538/2219844. ------ 1. ==[ start ]==> ((a (a a))(((^a.a)(a a))(^a.(^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. ------ 35539/2219853. ------ 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. ------ 35540/2219871. ------ 1. ==[ start ]==> ((a b)((a b)(^b.a))) 2. ==[ alpha ]==> ((a b)((a b)(^x.a))) REDUCED to normal form. ------ 35541/2219880. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.b)((^z.z) a))) 3. ==[ beta ]==> ((a a)((^y.b)((^z.z) a))) 4. ==[ alpha ]==> ((a a)((^x.b)((^y.y) a))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 35542/2219925. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^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. ------ 35543/2219961. ------ 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 ]==> ((^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. ------ 35544/2219988. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.a)(a b))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a b))) 5. ==[ beta ]==> ((^y.a)(a b)) 6. ==[ alpha ]==> ((^x.a)(a b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 35545/2220015. ------ 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.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. ------ 35546/2220042. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.y)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 35547/2220069. ------ 1. ==[ start ]==> ((a (^b.a))((^c.(^a.a))(^a.a))) 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. ------ 35548/2220087. ------ 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. ------ 35549/2220114. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a b) c)) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a b) c)) REDUCED to normal form. ------ 35550/2220150. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.a)((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.a)((^y.a)(^z.(z z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 35551/2220177. ------ 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.(^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. ------ 35552/2220231. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((^y.y) a)((^z.a)(^x1.b))) 4. ==[ alpha ]==> (((^x.x) a)((^y.a)(^z.b))) 5. ==[ beta ]==> (a ((^y.a)(^z.b))) 6. ==[ alpha ]==> (a ((^x.a)(^y.b))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 35553/2220240. ------ 1. ==[ start ]==> (((a a)(^b.a))(c (a b))) 2. ==[ alpha ]==> (((a a)(^x.a))(c (a b))) REDUCED to normal form. ------ 35554/2220258. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1))(^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. ------ 35555/2220267. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(b (a a))) REDUCED to normal form. ------ 35556/2220294. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(a ((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^y.y))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 35557/2220330. ------ 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) a)((^y.(a a)) b)) 4. ==[ alpha ]==> (((a a) a)((^x.(a a)) b)) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 35558/2220357. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.b) c)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.b) c)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 35559/2220402. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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)))) 7. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 35560/2220483. ------ 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))) REDUCED to normal form. ------ 35561/2220501. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(b (^z.(a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(b (^z.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.(a a)))) 5. ==[ beta ]==> ((^y.y)(b (^z.(a a)))) 6. ==[ alpha ]==> ((^x.x)(b (^y.(a a)))) 7. ==[ beta ]==> (b (^y.(a a))) 8. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 35562/2220510. ------ 1. ==[ start ]==> (((a (a a)) a)((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((a a)((^x.x)(a a)))) 3. ==[ beta ]==> (((a (a a)) a)((a a)(a a))) REDUCED to normal form. ------ 35563/2220555. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 35564/2220636. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.(^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. ------ 35565/2220654. ------ 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. ------ 35566/2220708. ------ 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. ------ 35567/2220735. ------ 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. ------ 35568/2220762. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(a a)) a)) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a)) a)) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a)) a)) 5. ==[ beta ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 35569/2220771. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 35570/2220798. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 35571/2220852. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(x2 x2)))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(x2 x2)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 35572/2220906. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((^y.y)((^z.a)(^x1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 7. ==[ beta ]==> ((^y.a)(^z.a)) 8. ==[ alpha ]==> ((^x.a)(^y.a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 35573/2220915. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(c ((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c ((a a) a))) REDUCED to normal form. ------ 35574/2220933. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.(^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. ------ 35575/2220942. ------ 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. ------ 35576/2220969. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(a ((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^y.a))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.a))(a ((^y.y)(a a)))) 5. ==[ beta ]==> ((a (^x.a))(a (a a))) REDUCED to normal form. ------ 35577/2220996. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a b)(a a))) REDUCED to normal form. ------ 35578/2221023. ------ 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. ------ 35579/2221194. ------ 1. ==[ start ]==> ((a ((a a) a))((a b)(^a.a))) 2. ==[ alpha ]==> ((a ((a a) a))((a b)(^x.x))) REDUCED to normal form. ------ 35580/2221230. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 35581/2221284. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(z z))(a (a a)))) 5. ==[ beta ]==> (a ((^z.(z z))(a (a a)))) 6. ==[ alpha ]==> (a ((^x.(x x))(a (a a)))) 7. ==[ beta ]==> (a ((a (a a))(a (a a)))) REDUCED to normal form. ------ 35582/2221365. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y)(a b))) 3. ==[ beta ]==> (((a a) a)((^y.y)(a b))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(a b))) 5. ==[ beta ]==> (((a a) a)(a b)) REDUCED to normal form. ------ 35583/2221392. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.b)(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((^y1.b)(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.z))) 5. ==[ beta ]==> ((^y.b)(^z.z)) 6. ==[ alpha ]==> ((^x.b)(^y.y)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 35584/2221446. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(^x1.a))) 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. ------ 35585/2221527. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 35586/2221572. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.b) a)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.b) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b) a)) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 35587/2221626. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a (a a)) a)((^y.(^z.z)) c)) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y)) c)) 5. ==[ beta ]==> (((a (a a)) a)(^y.y)) 6. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 35588/2221698. ------ 1. ==[ start ]==> (((^a.b) a)((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((a (^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((a (^x.x))(^z.z))) 6. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 35589/2221716. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(b (^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(b (^z.a))) 3. ==[ beta ]==> ((^y.b)(b (^z.a))) 4. ==[ alpha ]==> ((^x.b)(b (^y.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 35590/2221797. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(a (^y1.y1)))) IRREDUCIBLE: cycle. ------ 35591/2221878. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (b ((^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. ------ 35592/2221905. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 35593/2221986. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(y y))(^z.a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(x x))(^y.a))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((^y.a)(^y.a))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.a)(^y.a))) 7. ==[ beta ]==> (((a (a a))(a (a a))) a) REDUCED to normal form. ------ 35594/2222022. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(c (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(c (a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(c (a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(c (a (a a)))) 5. ==[ beta ]==> ((^y.a)(c (a (a a)))) 6. ==[ alpha ]==> ((^x.a)(c (a (a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 35595/2222049. ------ 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. ------ 35596/2222067. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 35597/2222076. ------ 1. ==[ start ]==> (((a b)(^a.a))(a ((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.x))(a ((a a) a))) REDUCED to normal form. ------ 35598/2222112. ------ 1. ==[ start ]==> (((a a)(a b))((^b.(^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. ------ 35599/2222247. ------ 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))(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.y)(^z.z))) 5. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 35600/2222274. ------ 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. ------ 35601/2222301. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a)(^y.a))) 5. ==[ beta ]==> ((a (a a))(a (^y.a))) 6. ==[ alpha ]==> ((a (a a))(a (^x.a))) REDUCED to normal form. ------ 35602/2222310. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(a a))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.a)((^z.z) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 35603/2222337. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(^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. ------ 35604/2222391. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.x2))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.x2))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 35605/2222472. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 35606/2222481. ------ 1. ==[ start ]==> (((a b) b)(b (a (a a)))) REDUCED to normal form. ------ 35607/2222508. ------ 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. ------ 35608/2222535. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (a a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (a a))(a a))) REDUCED to normal form. ------ 35609/2222562. ------ 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. ------ 35610/2222607. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(b (^x1.(x1 x1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(b (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b (^y1.(y1 y1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b (^y1.(y1 y1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b (^x1.(x1 x1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(b (^x1.(x1 x1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.(z z)))) 9. ==[ beta ]==> ((^y.y)(b (^z.(z z)))) 10. ==[ alpha ]==> ((^x.x)(b (^y.(y y)))) 11. ==[ beta ]==> (b (^y.(y y))) 12. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 35611/2222616. ------ 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. ------ 35612/2222688. ------ 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)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 35613/2222697. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(c c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c c)) REDUCED to normal form. ------ 35614/2222760. ------ 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. ------ 35615/2222787. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y) a) b)) 3. ==[ beta ]==> (((a (^x.x))(a b))(a b)) REDUCED to normal form. ------ 35616/2222868. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(z z)) a)) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(z z)) a)) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(y y)) a)) 5. ==[ beta ]==> ((a (a a))((^y.(y y)) a)) 6. ==[ alpha ]==> ((a (a a))((^x.(x x)) a)) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 35617/2222895. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.a) b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.a) b)) 3. ==[ beta ]==> ((((a a) a) a)((^y.a) b)) 4. ==[ alpha ]==> ((((a a) a) a)((^x.a) b)) 5. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 35618/2222913. ------ 1. ==[ start ]==> (((^a.b) c)((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((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. ------ 35619/2222922. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 35620/2222976. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(a (^z.z))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (^y.y))) REDUCED to normal form. ------ 35621/2223012. ------ 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)((^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. ------ 35622/2223147. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 35623/2223156. ------ 1. ==[ start ]==> (((a b) c)((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a b) c)((a (^x.x))(a a))) REDUCED to normal form. ------ 35624/2223183. ------ 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. ------ 35625/2223228. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a a))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 35626/2223255. ------ 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 (^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. ------ 35627/2223264. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(a c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a c)) REDUCED to normal form. ------ 35628/2223291. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(b (a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(b (a a))) 3. ==[ beta ]==> ((a (^y.b))(b (a a))) 4. ==[ alpha ]==> ((a (^x.b))(b (a a))) REDUCED to normal form. ------ 35629/2223309. ------ 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)))) 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. ------ 35630/2223345. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a a)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(a a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 35631/2223372. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(b a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(b a)) REDUCED to normal form. ------ 35632/2223390. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 35633/2223399. ------ 1. ==[ start ]==> (((a b)(^b.a))(a b)) 2. ==[ alpha ]==> (((a b)(^x.a))(a b)) REDUCED to normal form. ------ 35634/2223426. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(a (a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(a (a a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(a (a a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 35635/2223453. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(a a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 35636/2227104. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a)) b) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y)) b) REDUCED to normal form. ------ 35637/2227128. ------ 1. ==[ start ]==> ((^a.(^a.a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 35638/2227209. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 35639/2227356. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 35640/2227371. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.x))(((a a)(^z.z)) a)) 3. ==[ beta ]==> (^y.(((a a)(^z.z)) a)) 4. ==[ alpha ]==> (^x.(((a a)(^y.y)) a)) REDUCED to normal form. ------ 35641/2227599. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 35642/2227713. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))(a (a a)))((((^y.y)(^z.z))(a (a a)))(((^y.y)(^z.z))(a (a a))))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((((^z.z)(^x1.x1))(a (a a)))(((^y1.y1)(^z1.z1))(a (a a))))) 5. ==[ beta ]==> (((^y.y)(a (a a)))((((^z.z)(^x1.x1))(a (a a)))(((^y1.y1)(^z1.z1))(a (a a))))) 6. ==[ alpha ]==> (((^x.x)(a (a a)))((((^y.y)(^z.z))(a (a a)))(((^x1.x1)(^y1.y1))(a (a a))))) 7. ==[ beta ]==> ((a (a a))((((^y.y)(^z.z))(a (a a)))(((^x1.x1)(^y1.y1))(a (a a))))) 8. ==[ alpha ]==> ((a (a a))((((^x.x)(^y.y))(a (a a)))(((^z.z)(^x1.x1))(a (a a))))) 9. ==[ beta ]==> ((a (a a))(((^y.y)(a (a a)))(((^z.z)(^x1.x1))(a (a a))))) 10. ==[ alpha ]==> ((a (a a))(((^x.x)(a (a a)))(((^y.y)(^z.z))(a (a a))))) 11. ==[ beta ]==> ((a (a a))((a (a a))(((^y.y)(^z.z))(a (a a))))) 12. ==[ alpha ]==> ((a (a a))((a (a a))(((^x.x)(^y.y))(a (a a))))) 13. ==[ beta ]==> ((a (a a))((a (a a))((^y.y)(a (a a))))) 14. ==[ alpha ]==> ((a (a a))((a (a a))((^x.x)(a (a a))))) 15. ==[ beta ]==> ((a (a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 35643/2227938. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 35644/2228274. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.a))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(a a)))) REDUCED to normal form. ------ 35645/2228877. ------ 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))(^z.z))(^x1.(x1 b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(z b))) REDUCED to normal form. ------ 35646/2229009. ------ 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 ]==> (((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) REDUCED to normal form. ------ 35647/2229210. ------ 1. ==[ start ]==> (((^a.a)(a b))(^c.(^c.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. ------ 35648/2229219. ------ 1. ==[ start ]==> (((a a)(^a.b))(^b.((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.((a a) a))) REDUCED to normal form. ------ 35649/2229381. ------ 1. ==[ start ]==> (((a b)(^a.a))(^b.(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 35650/2229396. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^c.a) a)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.a) a)) 3. ==[ beta ]==> (^y.(((^z.a) a)((^z.a) a))) 4. ==[ alpha ]==> (^x.(((^y.a) a)((^z.a) a))) 5. ==[ beta ]==> (^x.(a ((^z.a) a))) 6. ==[ alpha ]==> (^x.(a ((^y.a) a))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 35651/2229813. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 35652/2229948. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 35653/2230173. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(^z.(z (z z)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(^z.(z (z z)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(y (y y)))) 5. ==[ beta ]==> ((a (a a))(^y.(y (y y)))) 6. ==[ alpha ]==> ((a (a a))(^x.(x (x x)))) REDUCED to normal form. ------ 35654/2230515. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^a.(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.y))) REDUCED to normal form. ------ 35655/2230569. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 35656/2230677. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 35657/2230695. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 35658/2230704. ------ 1. ==[ start ]==> (((a b)(^b.a))(^b.(a a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(a a))) REDUCED to normal form. ------ 35659/2230731. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 35660/2230758. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^a.(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 35661/2230788. ------ 1. ==[ start ]==> ((a (^a.a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 35662/2230815. ------ 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. ------ 35663/2230824. ------ 1. ==[ start ]==> (((a a) a)((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a) a)((^x.(a a))(a (^y.y)))) 3. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 35664/2230842. ------ 1. ==[ start ]==> (((^a.a)(a a))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a a))((a b)(^y.a))) 3. ==[ beta ]==> ((a a)((a b)(^y.a))) 4. ==[ alpha ]==> ((a a)((a b)(^x.a))) REDUCED to normal form. ------ 35665/2230851. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.b)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 35666/2230869. ------ 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. ------ 35667/2230878. ------ 1. ==[ start ]==> (((^a.a) b)((^c.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)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 35668/2230905. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 35669/2230932. ------ 1. ==[ start ]==> (((a a) b)((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a a) b)((^x.(x x))((a a) a))) 3. ==[ beta ]==> (((a a) b)(((a a) a)((a a) a))) REDUCED to normal form. ------ 35670/2230950. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^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. ------ 35671/2230959. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)(a b))) 3. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 35672/2230977. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 35673/2230986. ------ 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)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 35674/2231013. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.z))) REDUCED to normal form. ------ 35675/2231031. ------ 1. ==[ start ]==> ((a (^b.a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.a))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 35676/2231067. ------ 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 a) REDUCED to normal form. ------ 35677/2231148. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 35678/2231202. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(^z.b))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 35679/2231229. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^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. ------ 35680/2231292. ------ 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) a)(((^y.y)(a a))(a a))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))(a a))) 5. ==[ beta ]==> (((a a) a)((a a)(a a))) REDUCED to normal form. ------ 35681/2231319. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a b)(a (^z.z)))) REDUCED to normal form. ------ 35682/2231346. ------ 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))) 5. ==[ beta ]==> ((a (a a))(((a a) a) a)) REDUCED to normal form. ------ 35683/2231373. ------ 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)))((^y.y)(a (a a)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.x)(a (a a)))) 5. ==[ beta ]==> ((a (a (a a)))(a (a a))) REDUCED to normal form. ------ 35684/2231445. ------ 1. ==[ start ]==> ((((^a.a) a) b)(c (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a) b)(c (^y.b))) 3. ==[ beta ]==> ((a b)(c (^y.b))) 4. ==[ alpha ]==> ((a b)(c (^x.b))) REDUCED to normal form. ------ 35685/2231472. ------ 1. ==[ start ]==> (((a (a a)) a)(b (^b.(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)(b (^x.(a a)))) REDUCED to normal form. ------ 35686/2231517. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^x1.x1)(a a))(^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. ------ 35687/2231526. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(a a))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 35688/2231553. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.b)(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.b)(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 35689/2231571. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((a a) a)(^y.a))) 3. ==[ beta ]==> (((a a)(a a))(((a a) a)(^y.a))) 4. ==[ alpha ]==> (((a a)(a a))(((a a) a)(^x.a))) REDUCED to normal form. ------ 35690/2231598. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 35691/2231688. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(a b))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(a b))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 35692/2231733. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a)) a)) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 35693/2231760. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 35694/2231823. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.(^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. ------ 35695/2231850. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z))(^x1.(^y1.y1)))) 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)))) 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. ------ 35696/2231877. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 35697/2231904. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.x1))(^y1.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. ------ 35698/2231931. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.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. ------ 35699/2231949. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(a a)) a)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(a a)) a)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(a a)) a)) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 35700/2232021. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^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)(^x.x))((^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. ------ 35701/2232048. ------ 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. ------ 35702/2232075. ------ 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)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^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)))) 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. ------ 35703/2232102. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 35704/2232129. ------ 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. ------ 35705/2232192. ------ 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. ------ 35706/2232246. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (a a))(^z.(z z)))) 5. ==[ beta ]==> (a ((a (a a))(^z.(z z)))) 6. ==[ alpha ]==> (a ((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 35707/2232282. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.a)((^y.y)(^z.z)))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 35708/2232309. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> ((((a a) a) a)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 35709/2232327. ------ 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. ------ 35710/2232354. ------ 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)((a b) a)) 4. ==[ alpha ]==> ((^x.x)((a b) a)) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 35711/2232363. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 35712/2232417. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.(^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. ------ 35713/2232444. ------ 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 y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(x1 x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 35714/2232471. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.a)(^b.(^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. ------ 35715/2232507. ------ 1. ==[ start ]==> (((a a)((a a) a))(b ((a a) a))) REDUCED to normal form. ------ 35716/2232534. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(a (a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(a (a b))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(a (a b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (a b))) REDUCED to normal form. ------ 35717/2232561. ------ 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. ------ 35718/2232588. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a (a a)) a)((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> (((a (a a)) a)((^x.x)(a (^y.y)))) 7. ==[ beta ]==> (((a (a a)) a)(a (^y.y))) 8. ==[ alpha ]==> (((a (a a)) a)(a (^x.x))) REDUCED to normal form. ------ 35719/2232615. ------ 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.x1) a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (a a))((^z.z) a))) 5. ==[ beta ]==> ((a (^y.y))((a (a a))((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.x))((a (a a))((^y.y) a))) 7. ==[ beta ]==> ((a (^x.x))((a (a a)) a)) REDUCED to normal form. ------ 35720/2232642. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x) a)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(a a))(a (a (a a)))) REDUCED to normal form. ------ 35721/2232660. ------ 1. ==[ start ]==> (((^a.b) a)(c (^b.(^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. ------ 35722/2232669. ------ 1. ==[ start ]==> ((a (a b))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((a (^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a b))((a (^x.x))(^z.z))) 4. ==[ alpha ]==> ((a (a b))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 35723/2232759. ------ 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))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) IRREDUCIBLE: cycle. ------ 35724/2232822. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.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. ------ 35725/2232840. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 35726/2232849. ------ 1. ==[ start ]==> (((a b) a)((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 35727/2232867. ------ 1. ==[ start ]==> (((^a.a)(a b))((a a)(^c.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. ------ 35728/2232876. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.y)((a a) a))) 3. ==[ beta ]==> (((a a)(^x.b))((a a) a)) REDUCED to normal form. ------ 35729/2232894. ------ 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)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) a)) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 35730/2232930. ------ 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))(^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. ------ 35731/2232957. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((^z.a)(^z.a))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a (a a))(^x.(x x))) a) REDUCED to normal form. ------ 35732/2232984. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.a)((^z.a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.a)((^y.a)(^z.(z z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 35733/2233011. ------ 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. ------ 35734/2233038. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.a)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.a)) REDUCED to normal form. ------ 35735/2233056. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^c.a) a)) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.a) a)) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 35736/2233074. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x)(^y.y))(a a))) 3. ==[ beta ]==> (((a a)(a b))((^y.y)(a a))) 4. ==[ alpha ]==> (((a a)(a b))((^x.x)(a a))) 5. ==[ beta ]==> (((a a)(a b))(a a)) REDUCED to normal form. ------ 35737/2233101. ------ 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. ------ 35738/2233128. ------ 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.y1) a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1) a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) a)((^x1.x1) a))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> ((a (^x.x))(a ((^z.z) a))) 8. ==[ alpha ]==> ((a (^x.x))(a ((^y.y) a))) 9. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 35739/2233155. ------ 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. ------ 35740/2233182. ------ 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. ------ 35741/2233227. ------ 1. ==[ start ]==> (((^a.b) b)((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 35742/2233272. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 35743/2233299. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a (^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.(y1 y1)))) 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. ------ 35744/2233353. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(^y1.y1)) a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1)) a)) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1)) a)) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z)) a)) 7. ==[ beta ]==> (((^y.y)(^z.z)) a) 8. ==[ alpha ]==> (((^x.x)(^y.y)) a) 9. ==[ beta ]==> ((^y.y) a) 10. ==[ alpha ]==> ((^x.x) a) 11. ==[ beta ]==> a REDUCED to normal form. ------ 35745/2233443. ------ 1. ==[ start ]==> (((a b) b)((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 35746/2233470. ------ 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)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 35747/2233488. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((a a)((^y.(^z.z)) a)) 6. ==[ alpha ]==> ((a a)((^x.(^y.y)) a)) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 35748/2233515. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 35749/2233578. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b (^z.(z z)))) REDUCED to normal form. ------ 35750/2233605. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))(a (^y.(^z.z)))) 7. ==[ beta ]==> ((a (^y.(^z.z)))(a (^y.(^z.z)))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 35751/2233632. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(y y))(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((a a)(a a))) REDUCED to normal form. ------ 35752/2233650. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^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. ------ 35753/2233659. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 35754/2233686. ------ 1. ==[ start ]==> ((((^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))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 35755/2233803. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(b ((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^y.y))(b ((^z.z) a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(b ((^y.y) a))) 5. ==[ beta ]==> (((a (a a))(^x.x))(b a)) REDUCED to normal form. ------ 35756/2233830. ------ 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. ------ 35757/2233857. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((^y.y) a)(a a))) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y) a)(a a))) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x) a)(a a))) 5. ==[ beta ]==> ((((a a) a) a)(a (a a))) REDUCED to normal form. ------ 35758/2233875. ------ 1. ==[ start ]==> (((^a.b) c)(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(c (^y.(^z.z)))) 3. ==[ beta ]==> (b (c (^y.(^z.z)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 35759/2233884. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 35760/2233911. ------ 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))) 5. ==[ beta ]==> (((a a)(a a))((a a) a)) REDUCED to normal form. ------ 35761/2233974. ------ 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.(^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. ------ 35762/2234109. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 35763/2234118. ------ 1. ==[ start ]==> (((a b) c)(c (^a.a))) 2. ==[ alpha ]==> (((a b) c)(c (^x.x))) REDUCED to normal form. ------ 35764/2234145. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(b (^a.(^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. ------ 35765/2234172. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(a (^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(a (^y.a))) REDUCED to normal form. ------ 35766/2234190. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 35767/2234217. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^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. ------ 35768/2234226. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a (^z.z))) REDUCED to normal form. ------ 35769/2234253. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(^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. ------ 35770/2234271. ------ 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))((a a) b)) REDUCED to normal form. ------ 35771/2234307. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(b (^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(b (^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(b (^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(b (^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 35772/2234334. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 35773/2234352. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a a)(^z.z))) 3. ==[ beta ]==> (b ((a a)(^z.z))) 4. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 35774/2234361. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 35775/2234388. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 35776/2234415. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(a (^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (^z.z))) REDUCED to normal form. ------ 35777/2234931. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 35778/2235381. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^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. ------ 35779/2235813. ------ 1. ==[ start ]==> ((^a.((a a) a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.(^z.(y y)))) 3. ==[ beta ]==> (((^y.(^z.(y y)))(^y.(^z.(y y))))(^y.(^z.(y y)))) 4. ==[ alpha ]==> (((^x.(^y.(x x)))(^z.(^x1.(z z))))(^y1.(^z1.(y1 y1)))) 5. ==[ beta ]==> ((^y.((^z.(^x1.(z z)))(^z.(^x1.(z z)))))(^y1.(^z1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.((^y.(^z.(y y)))(^x1.(^y1.(x1 x1)))))(^z1.(^x2.(z1 z1)))) 7. ==[ beta ]==> ((^y.(^z.(y y)))(^x1.(^y1.(x1 x1)))) 8. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(^x1.(z z)))) 9. ==[ beta ]==> (^y.((^z.(^x1.(z z)))(^z.(^x1.(z z))))) 10. ==[ alpha ]==> (^x.((^y.(^z.(y y)))(^x1.(^y1.(x1 x1))))) 11. ==[ beta ]==> (^x.(^z.((^x1.(^y1.(x1 x1)))(^x1.(^y1.(x1 x1)))))) 12. ==[ alpha ]==> (^x.(^y.((^z.(^x1.(z z)))(^y1.(^z1.(y1 y1)))))) 13. ==[ beta ]==> (^x.(^y.(^x1.((^y1.(^z1.(y1 y1)))(^y1.(^z1.(y1 y1))))))) 14. ==[ alpha ]==> (^x.(^y.(^z.((^x1.(^y1.(x1 x1)))(^z1.(^x2.(z1 z1))))))) 15. ==[ beta ]==> (^x.(^y.(^z.(^y1.((^z1.(^x2.(z1 z1)))(^z1.(^x2.(z1 z1)))))))) 16. ==[ alpha ]==> (^x.(^y.(^z.(^x1.((^y1.(^z1.(y1 y1)))(^x2.(^y2.(x2 x2)))))))) 17. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^z1.((^x2.(^y2.(x2 x2)))(^x2.(^y2.(x2 x2))))))))) 18. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.((^z1.(^x2.(z1 z1)))(^y2.(^z2.(y2 y2))))))))) 19. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^x2.((^y2.(^z2.(y2 y2)))(^y2.(^z2.(y2 y2)))))))))) 20. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.((^x2.(^y2.(x2 x2)))(^z2.(^x3.(z2 z2)))))))))) 21. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^y2.((^z2.(^x3.(z2 z2)))(^z2.(^x3.(z2 z2))))))))))) 22. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.((^y2.(^z2.(y2 y2)))(^x3.(^y3.(x3 x3))))))))))) 23. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^z2.((^x3.(^y3.(x3 x3)))(^x3.(^y3.(x3 x3)))))))))))) 24. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.((^z2.(^x3.(z2 z2)))(^y3.(^z3.(y3 y3)))))))))))) 25. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^x3.((^y3.(^z3.(y3 y3)))(^y3.(^z3.(y3 y3))))))))))))) 26. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.((^x3.(^y3.(x3 x3)))(^z3.(^x4.(z3 z3))))))))))))) 27. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^y3.((^z3.(^x4.(z3 z3)))(^z3.(^x4.(z3 z3)))))))))))))) 28. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.((^y3.(^z3.(y3 y3)))(^x4.(^y4.(x4 x4)))))))))))))) 29. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^z3.((^x4.(^y4.(x4 x4)))(^x4.(^y4.(x4 x4))))))))))))))) 30. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.((^z3.(^x4.(z3 z3)))(^y4.(^z4.(y4 y4))))))))))))))) 31. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^x4.((^y4.(^z4.(y4 y4)))(^y4.(^z4.(y4 y4)))))))))))))))) 32. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.((^x4.(^y4.(x4 x4)))(^z4.(^x5.(z4 z4)))))))))))))))) 33. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^y4.((^z4.(^x5.(z4 z4)))(^z4.(^x5.(z4 z4))))))))))))))))) 34. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^x4.((^y4.(^z4.(y4 y4)))(^x5.(^y5.(x5 x5))))))))))))))))) 35. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^x4.(^z4.((^x5.(^y5.(x5 x5)))(^x5.(^y5.(x5 x5)))))))))))))))))) UNREDUCED: maximal number of reductions reached. ------ 35780/2236713. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.((z z) z))) 3. ==[ beta ]==> (^y.((^z.((z z) z))(^z.((z z) z)))) 4. ==[ alpha ]==> (^x.((^y.((y y) y))(^z.((z z) z)))) 5. ==[ beta ]==> (^x.(((^z.((z z) z))(^z.((z z) z)))(^z.((z z) z)))) 6. ==[ alpha ]==> (^x.(((^y.((y y) y))(^z.((z z) z)))(^x1.((x1 x1) x1)))) 7. ==[ beta ]==> (^x.((((^z.((z z) z))(^z.((z z) z)))(^z.((z z) z)))(^x1.((x1 x1) x1)))) 8. ==[ alpha ]==> (^x.((((^y.((y y) y))(^z.((z z) z)))(^x1.((x1 x1) x1)))(^y1.((y1 y1) y1)))) 9. ==[ beta ]==> (^x.(((((^z.((z z) z))(^z.((z z) z)))(^z.((z z) z)))(^x1.((x1 x1) x1)))(^y1.((y1 y1) y1)))) 10. ==[ alpha ]==> (^x.(((((^y.((y y) y))(^z.((z z) z)))(^x1.((x1 x1) x1)))(^y1.((y1 y1) y1)))(^z1.((z1 z1) z1)))) 11. ==[ beta ]==> (^x.((((((^z.((z z) z))(^z.((z z) z)))(^z.((z z) z)))(^x1.((x1 x1) x1)))(^y1.((y1 y1) y1)))(^z1.((z1 z1) z1)))) 12. ==[ alpha ]==> (^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)))) 13. ==[ beta ]==> (^x.(((((((^z.((z z) z))(^z.((z z) z)))(^z.((z z) z)))(^x1.((x1 x1) x1)))(^y1.((y1 y1) y1)))(^z1.((z1 z1) z1)))(^x2.((x2 x2) x2)))) 14. ==[ alpha ]==> (^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)))) 15. ==[ beta ]==> (^x.((((((((^z.((z z) z))(^z.((z z) z)))(^z.((z z) z)))(^x1.((x1 x1) x1)))(^y1.((y1 y1) y1)))(^z1.((z1 z1) z1)))(^x2.((x2 x2) x2)))(^y2.((y2 y2) y2)))) 16. ==[ alpha ]==> (^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)))) 17. ==[ beta ]==> (^x.(((((((((^z.((z z) z))(^z.((z z) z)))(^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)))) 18. ==[ alpha ]==> (^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)))) 19. ==[ beta ]==> (^x.((((((((((^z.((z z) z))(^z.((z z) z)))(^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)))) 20. ==[ alpha ]==> (^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)))) 21. ==[ beta ]==> (^x.(((((((((((^z.((z z) z))(^z.((z z) z)))(^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)))) 22. ==[ alpha ]==> (^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)))) 23. ==[ beta ]==> (^x.((((((((((((^z.((z z) z))(^z.((z z) z)))(^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)))) 24. ==[ alpha ]==> (^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)))) 25. ==[ beta ]==> (^x.(((((((((((((^z.((z z) z))(^z.((z z) z)))(^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)))) 26. ==[ alpha ]==> (^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)))) 27. ==[ beta ]==> (^x.((((((((((((((^z.((z z) z))(^z.((z z) z)))(^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)))) 28. ==[ alpha ]==> (^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)))) 29. ==[ beta ]==> (^x.(((((((((((((((^z.((z z) z))(^z.((z z) z)))(^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)))) 30. ==[ alpha ]==> (^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)))) 31. ==[ beta ]==> (^x.((((((((((((((((^z.((z z) z))(^z.((z z) z)))(^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)))) 32. ==[ alpha ]==> (^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)))) 33. ==[ beta ]==> (^x.(((((((((((((((((^z.((z z) z))(^z.((z z) z)))(^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)))) 34. ==[ alpha ]==> (^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)))) 35. ==[ beta ]==> (^x.((((((((((((((((((^z.((z z) z))(^z.((z z) z)))(^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)))) UNREDUCED: maximal number of reductions reached. ------ 35781/2237595. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^z.(^x1.(x1 x1)))(^z.(^x1.(x1 x1))))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.(y y)))(^z.(^x1.(x1 x1))))(^y1.y1)) 5. ==[ beta ]==> ((^y.(y y))(^y1.y1)) 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. ------ 35782/2238153. ------ 1. ==[ start ]==> ((^a.b)((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 35783/2238234. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^z.(^x1.x1))((^y1.y1)(^z1.z1)))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 35784/2238423. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.b)(^b.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. ------ 35785/2238594. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(a ((a a)(^z.z)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 35786/2238597. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 35787/2239044. ------ 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)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 35788/2239047. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.y))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 35789/2239272. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.((^x1.x1)(z z)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^z.(z z))) REDUCED to normal form. ------ 35790/2239476. ------ 1. ==[ start ]==> ((^a.((a a) a))(a (^b.(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(a (^y.(a a)))) 3. ==[ beta ]==> (((a (^y.(a a)))(a (^y.(a a))))(a (^y.(a a)))) 4. ==[ alpha ]==> (((a (^x.(a a)))(a (^y.(a a))))(a (^z.(a a)))) REDUCED to normal form. ------ 35791/2239479. ------ 1. ==[ start ]==> ((a ((a a) a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.(x x)))) REDUCED to normal form. ------ 35792/2239809. ------ 1. ==[ start ]==> ((^a.(^a.b))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 35793/2239857. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.(^y1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.z))) REDUCED to normal form. ------ 35794/2239989. ------ 1. ==[ start ]==> ((^a.(a b))(c (^b.(^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. ------ 35795/2240199. ------ 1. ==[ start ]==> (((a a)(^a.b))(^c.(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.a))) REDUCED to normal form. ------ 35796/2240376. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(a ((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(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)))) REDUCED to normal form. ------ 35797/2240379. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.((y y) y))) REDUCED to normal form. ------ 35798/2240583. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.(z z))(a (^x1.x1)))((^z.(z z))(a (^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.(y y))(a (^z.z)))((^x1.(x1 x1))(a (^y1.y1))))) 5. ==[ beta ]==> (((^y.(y y))(a (^z.z)))((^x1.(x1 x1))(a (^y1.y1)))) 6. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(z z))(a (^x1.x1)))) 7. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(z z))(a (^x1.x1)))) 8. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))(a (^x1.x1)))) 9. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a (^x1.x1))(a (^x1.x1)))) 10. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 35799/2240811. ------ 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)))) 7. ==[ beta ]==> ((a a)(^x.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 35800/2241045. ------ 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)(a a))(^y.(a (a a)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(a (a a)))) REDUCED to normal form. ------ 35801/2241153. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(^z.(z z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.(z z)))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 35802/2241258. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(a (^z.(z z)))) 3. ==[ beta ]==> (((a (^z.(z z)))(a (^z.(z z))))(^y.y)) 4. ==[ alpha ]==> (((a (^x.(x x)))(a (^y.(y y))))(^z.z)) REDUCED to normal form. ------ 35803/2241261. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 35804/2241432. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 35805/2241495. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^b.c)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.c)) REDUCED to normal form. ------ 35806/2241549. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 35807/2241657. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^b.b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 35808/2241684. ------ 1. ==[ start ]==> (((a b)(^b.a))(^c.(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 35809/2241738. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^b.a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.a)) REDUCED to normal form. ------ 35810/2241786. ------ 1. ==[ start ]==> (((^a.a) a)(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x) a)(((a a)(^y.y))(^z.z))) 3. ==[ beta ]==> (a (((a a)(^y.y))(^z.z))) 4. ==[ alpha ]==> (a (((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 35811/2241813. ------ 1. ==[ start ]==> (((a a) a)(((^a.a)(a a))(^a.(^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. ------ 35812/2241822. ------ 1. ==[ start ]==> ((a b)((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.(a a))(a (^y.y)))) 3. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 35813/2241840. ------ 1. ==[ start ]==> (((a a)(^a.a))((a b)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a b)(^y.a))) REDUCED to normal form. ------ 35814/2241867. ------ 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. ------ 35815/2241894. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 35816/2241903. ------ 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)))(^z.z)) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 35817/2241921. ------ 1. ==[ start ]==> (((a a) b)((a (a a))(^c.a))) 2. ==[ alpha ]==> (((a a) b)((a (a a))(^x.a))) REDUCED to normal form. ------ 35818/2241948. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (((a (^x.x)) a)(a (^z.b))) 4. ==[ alpha ]==> (((a (^x.x)) a)(a (^y.b))) REDUCED to normal form. ------ 35819/2241975. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(^x1.(a a)))) REDUCED to normal form. ------ 35820/2242056. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z)(a a)) b)) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 35821/2242065. ------ 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 a)) REDUCED to normal form. ------ 35822/2242092. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.b)(^b.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. ------ 35823/2242263. ------ 1. ==[ start ]==> ((a (^a.(a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 35824/2242371. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))(a (a a)))) 5. ==[ beta ]==> ((((^y.y)(^z.z))(a (a a)))(((^y.y)(^z.z))(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. ------ 35825/2242398. ------ 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 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. ------ 35826/2242452. ------ 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 ]==> (((^y.y)(^y.y))((a (^z.z))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(a b))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(a b))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(a b))) 7. ==[ beta ]==> ((a (^y.y))(a b)) 8. ==[ alpha ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 35827/2242479. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a a))((a a)((^y.y)(a a)))) 4. ==[ alpha ]==> ((a (a a))((a a)((^x.x)(a a)))) 5. ==[ beta ]==> ((a (a a))((a a)(a a))) REDUCED to normal form. ------ 35828/2242515. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((a a)(^z.z))) REDUCED to normal form. ------ 35829/2242542. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a b)(^a.(^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. ------ 35830/2242569. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((a a) a)(^y.a))) REDUCED to normal form. ------ 35831/2242605. ------ 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. ------ 35832/2242632. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) a)(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((a (^x.x)) a)((^z.z)((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)((^z.z)(^x1.x1)))) 9. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(^x1.x1))) 10. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(^z.z))) 11. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 12. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 35833/2242659. ------ 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. ------ 35834/2242677. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (^y.y))(^z.b))) 3. ==[ beta ]==> ((b b)((a (^y.y))(^z.b))) 4. ==[ alpha ]==> ((b b)((a (^x.x))(^y.b))) REDUCED to normal form. ------ 35835/2242686. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))(a b))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 35836/2242713. ------ 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 (^y.y))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)(a a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(a a))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 35837/2242938. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a ((^z.z)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (a a))) REDUCED to normal form. ------ 35838/2242947. ------ 1. ==[ start ]==> (((a (a a))(^a.(^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. ------ 35839/2242974. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.b) 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. ------ 35840/2243118. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(b (^z.b))) 3. ==[ beta ]==> (((^y.y)(a a))(b (^z.b))) 4. ==[ alpha ]==> (((^x.x)(a a))(b (^y.b))) 5. ==[ beta ]==> ((a a)(b (^y.b))) 6. ==[ alpha ]==> ((a a)(b (^x.b))) REDUCED to normal form. ------ 35841/2243145. ------ 1. ==[ start ]==> ((a ((a a) a))(a (^b.(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))(a (^x.(a a)))) REDUCED to normal form. ------ 35842/2243271. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a) a)(^b.(^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. ------ 35843/2243352. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a b) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a b) a)) REDUCED to normal form. ------ 35844/2243379. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((a a) a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((a a) a) b)) 3. ==[ beta ]==> ((a (^y.(y y)))(((a a) a) b)) 4. ==[ alpha ]==> ((a (^x.(x x)))(((a a) a) b)) REDUCED to normal form. ------ 35845/2243406. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> (((a (a a))(^x.a))((^z.z) c)) 4. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y) c)) 5. ==[ beta ]==> (((a (a a))(^x.a)) c) REDUCED to normal form. ------ 35846/2243478. ------ 1. ==[ start ]==> ((a (^a.b))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (^x.b))(c (^z.z))) 4. ==[ alpha ]==> ((a (^x.b))(c (^y.y))) REDUCED to normal form. ------ 35847/2243523. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.b))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.b)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.b)) REDUCED to normal form. ------ 35848/2243658. ------ 1. ==[ start ]==> ((a (a b))(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(c (^x.(^y.y)))) REDUCED to normal form. ------ 35849/2243667. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 35850/2243811. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x) a)(^y.(y y)))) 3. ==[ beta ]==> ((((a a) a) b)(a (^y.(y y)))) 4. ==[ alpha ]==> ((((a a) a) b)(a (^x.(x x)))) REDUCED to normal form. ------ 35851/2243838. ------ 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. ------ 35852/2243865. ------ 1. ==[ start ]==> (((a a)(^a.b))((a a)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((a a)(^y.a))) REDUCED to normal form. ------ 35853/2243919. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 35854/2244018. ------ 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 (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. ------ 35855/2244045. ------ 1. ==[ start ]==> ((a (^b.(a a)))(a ((a a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(a ((a a) a))) REDUCED to normal form. ------ 35856/2244171. ------ 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. ------ 35857/2244216. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b) 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 ((^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. ------ 35858/2244225. ------ 1. ==[ start ]==> (((a b)(a a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(a a))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 35859/2244252. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> ((a (a a))((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> ((a (a a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 35860/2244288. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(c d)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(c d)) 3. ==[ beta ]==> ((^y.y)(c d)) 4. ==[ alpha ]==> ((^x.x)(c d)) 5. ==[ beta ]==> (c d) REDUCED to normal form. ------ 35861/2244423. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 35862/2244477. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a)(a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((a a)(a ((^x.x)(^y.y)))) 7. ==[ beta ]==> ((a a)(a (^y.y))) 8. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 35863/2244486. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 35864/2244504. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a (a a))(a a))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a a))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 35865/2244513. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(z z)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(b b)) REDUCED to normal form. ------ 35866/2244558. ------ 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 (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a (^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))((^z1.z1) a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.y1))((^z1.z1) a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))((^y1.y1) a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))((^y1.y1) a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))((^x1.x1) a))) 9. ==[ beta ]==> ((^y.y)((a (^z.z))((^x1.x1) a))) 10. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z) a))) 11. ==[ beta ]==> ((a (^y.y))((^z.z) a)) 12. ==[ alpha ]==> ((a (^x.x))((^y.y) a)) 13. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 35867/2244621. ------ 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. ------ 35868/2244648. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((^a.a) a)(^a.(^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. ------ 35869/2244675. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 35870/2244711. ------ 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)(a a))((^y.y)(a (a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(a (a a)))) 5. ==[ beta ]==> (((a a)(a a))(a (a a))) REDUCED to normal form. ------ 35871/2244738. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(a b))((^z.z)(^z.z))) 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. ------ 35872/2244765. ------ 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)))) 5. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 35873/2244792. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(^x1.x1))(^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. ------ 35874/2244819. ------ 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)))) 7. ==[ beta ]==> ((a (a a))(^y.(y y))) 8. ==[ alpha ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 35875/2244864. ------ 1. ==[ start ]==> (((^a.b) c)((^b.a) b)) 2. ==[ alpha ]==> (((^x.b) c)((^y.a) b)) 3. ==[ beta ]==> (b ((^y.a) b)) 4. ==[ alpha ]==> (b ((^x.a) b)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 35876/2244873. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(c (^y.(^z.z)))) REDUCED to normal form. ------ 35877/2244900. ------ 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. ------ 35878/2244927. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (^y.(y y)))) REDUCED to normal form. ------ 35879/2244963. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(c b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(c b)) 3. ==[ beta ]==> ((^y.y)(c b)) 4. ==[ alpha ]==> ((^x.x)(c b)) 5. ==[ beta ]==> (c b) REDUCED to normal form. ------ 35880/2245098. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 35881/2245107. ------ 1. ==[ start ]==> (((a b) c)((^b.a) a)) 2. ==[ alpha ]==> (((a b) c)((^x.a) a)) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 35882/2245134. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z)) b)) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y)) b)) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 35883/2245206. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(b b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(b b)) 3. ==[ beta ]==> ((^y.y)(b b)) 4. ==[ alpha ]==> ((^x.x)(b b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 35884/2245215. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 35885/2245242. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (^z.z)) a)) 3. ==[ beta ]==> ((a (^y.b))((a (^z.z)) a)) 4. ==[ alpha ]==> ((a (^x.b))((a (^y.y)) a)) REDUCED to normal form. ------ 35886/2245260. ------ 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. ------ 35887/2245296. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(^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. ------ 35888/2245323. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.a) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y) b)) 3. ==[ beta ]==> ((((a a) a)(^x.(x x))) b) REDUCED to normal form. ------ 35889/2245341. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(b a)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(b a)) 3. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 35890/2245350. ------ 1. ==[ start ]==> (((a b)(^b.a))((a a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a a)(^y.y))) REDUCED to normal form. ------ 35891/2245377. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a a) a)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a a) a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 35892/2245404. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 35893/2245686. ------ 1. ==[ start ]==> ((^a.(^b.a))(^b.((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)))) REDUCED to normal form. ------ 35894/2245929. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 35895/2247711. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^b.(^c.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. ------ 35896/2249133. ------ 1. ==[ start ]==> ((^a.(a a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x x))(((a a)(^y.y))(^z.z))) 3. ==[ beta ]==> ((((a a)(^y.y))(^z.z))(((a a)(^y.y))(^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 35897/2249160. ------ 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 REDUCED to normal form. ------ 35898/2249196. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b)((^y1.y1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 35899/2249241. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((^z.z)(^x1.x1))(^y1.(^z1.z1)))(^y.y)) 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. ------ 35900/2249358. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^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 ]==> (^x.((a a)(^z.z))) 6. ==[ alpha ]==> (^x.((a a)(^y.y))) REDUCED to normal form. ------ 35901/2249361. ------ 1. ==[ start ]==> ((a (^b.a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 35902/2249430. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a b) c)) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a b) c)) 3. ==[ eta ]==> ((^y.y)((a b) c)) 4. ==[ alpha ]==> ((^x.x)((a b) c)) 5. ==[ beta ]==> ((a b) c) REDUCED to normal form. ------ 35903/2249604. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 35904/2249925. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 35905/2250051. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 35906/2250063. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 35907/2250279. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 35908/2250288. ------ 1. ==[ start ]==> (((a (a a))(^a.(^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. ------ 35909/2250684. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^y1.(a y1))) 3. ==[ eta ]==> (((^x.(^y.y))((^z.z)(^x1.x1))) a) 4. ==[ beta ]==> ((^y.y) a) 5. ==[ alpha ]==> ((^x.x) a) 6. ==[ beta ]==> a REDUCED to normal form. ------ 35910/2250816. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 35911/2251224. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(^z.((a a) a))) 3. ==[ beta ]==> ((^y.y)(^z.((a a) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a) a))) 5. ==[ beta ]==> (^y.((a a) a)) 6. ==[ alpha ]==> (^x.((a a) a)) REDUCED to normal form. ------ 35912/2251383. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.a)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (^y.(((^z.z)(^x1.a))((^z.z)(^x1.a)))) 4. ==[ alpha ]==> (^x.(((^y.y)(^z.a))((^x1.x1)(^y1.a)))) 5. ==[ beta ]==> (^x.((^z.a)((^x1.x1)(^y1.a)))) 6. ==[ alpha ]==> (^x.((^y.a)((^z.z)(^x1.a)))) 7. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 35913/2251386. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.a))) REDUCED to normal form. ------ 35914/2251590. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (a a))(^a.(^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. ------ 35915/2251683. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)(^y1.((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 35916/2251818. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(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. ------ 35917/2251827. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 35918/2252439. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 35919/2252448. ------ 1. ==[ start ]==> (((a b) c)(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a b) c)(^x.((^y.y) x))) 3. ==[ eta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 35920/2252520. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.(^x1.z))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.z))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 35921/2252583. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^a.c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.c)) 3. ==[ beta ]==> ((a (^y.b))(^z.c)) 4. ==[ alpha ]==> ((a (^x.b))(^y.c)) REDUCED to normal form. ------ 35922/2252637. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(y1 (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(y1 (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(x1 (^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 (^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 35923/2252682. ------ 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 (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 35924/2252718. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 35925/2252745. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^a.(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(z z))) REDUCED to normal form. ------ 35926/2252811. ------ 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. ------ 35927/2252838. ------ 1. ==[ start ]==> ((a b)(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a b)(((^x.x)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((a b)((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 35928/2252847. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> ((a a)((^y.(a a))(a (^z.z)))) 4. ==[ alpha ]==> ((a a)((^x.(a a))(a (^y.y)))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 35929/2252874. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 35930/2252892. ------ 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. ------ 35931/2252919. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^x.x)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 35932/2252928. ------ 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)(^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. ------ 35933/2252955. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(x1 x1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((a a) a))) 5. ==[ beta ]==> ((^y.(y y))((a a) a)) 6. ==[ alpha ]==> ((^x.(x x))((a a) a)) 7. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 35934/2252982. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)(a b))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(a b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(a b))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 35935/2253009. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(^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. ------ 35936/2253036. ------ 1. ==[ start ]==> ((a (^b.a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^x.a))((a a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.a))((a a)(^y.y))) REDUCED to normal form. ------ 35937/2253054. ------ 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. ------ 35938/2253081. ------ 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 (^x.x))(a a))((a a) b)) REDUCED to normal form. ------ 35939/2253108. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a b) c)) 2. ==[ alpha ]==> ((a ((^x.x) a))((a b) c)) 3. ==[ beta ]==> ((a a)((a b) c)) REDUCED to normal form. ------ 35940/2253117. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.b)(^b.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. ------ 35941/2253225. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^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. ------ 35942/2253261. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(b ((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^y.y))(b ((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(b ((^y.y)(a a)))) 5. ==[ beta ]==> ((a (^x.x))(b (a a))) REDUCED to normal form. ------ 35943/2253324. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(a a)) b)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 35944/2253351. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.b) c)) 3. ==[ beta ]==> ((a (a a))((^y.b) c)) 4. ==[ alpha ]==> ((a (a a))((^x.b) c)) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 35945/2253369. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 35946/2253450. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y) a)((a a) a))) 3. ==[ beta ]==> ((a b)(((^y.y) a)((a a) a))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)((a a) a))) 5. ==[ beta ]==> ((a b)(a ((a a) a))) REDUCED to normal form. ------ 35947/2253477. ------ 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. ------ 35948/2253495. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(b (^y.(a a)))) 3. ==[ beta ]==> ((a (a a))(b (^y.(a a)))) 4. ==[ alpha ]==> ((a (a a))(b (^x.(a a)))) REDUCED to normal form. ------ 35949/2253504. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((a a)(a a))) REDUCED to normal form. ------ 35950/2253576. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((^y.b)(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.b)(a (^y.y)))) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 35951/2253603. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 35952/2253621. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)(^y.(y y)))) 5. ==[ beta ]==> (((a a)(a (a a)))(^y.(y y))) 6. ==[ alpha ]==> (((a a)(a (a a)))(^x.(x x))) REDUCED to normal form. ------ 35953/2253648. ------ 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.(^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. ------ 35954/2253702. ------ 1. ==[ start ]==> (((a (a a))(a a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a a))((a (^x.x))(^y.b))) REDUCED to normal form. ------ 35955/2253729. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a a)(^z.(a a)))) 3. ==[ beta ]==> ((a (^y.y))((a a)(^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(a a)))) REDUCED to normal form. ------ 35956/2253738. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^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 ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 35957/2253765. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 35958/2253873. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 9. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 35959/2253900. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 35960/2253936. ------ 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. ------ 35961/2253954. ------ 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 (^y.y))(a (^y.y)))((^z.z)(^x1.(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. ------ 35962/2253963. ------ 1. ==[ start ]==> (((a (a a))(^a.(^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. ------ 35963/2253990. ------ 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. ------ 35964/2254197. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)(a a))) 3. ==[ beta ]==> ((^y.y)((^y1.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. ------ 35965/2254251. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.(^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. ------ 35966/2254332. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 35967/2254359. ------ 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)((^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. ------ 35968/2254494. ------ 1. ==[ start ]==> ((a (^a.b))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 35969/2254566. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.b) a)) 3. ==[ beta ]==> ((a (a (a a)))((^y.b) a)) 4. ==[ alpha ]==> ((a (a (a a)))((^x.b) a)) 5. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 35970/2254620. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1)) c)) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z)) c)) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 35971/2254665. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b) a)(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> (b (((^y.y) a)(a (a a)))) 4. ==[ alpha ]==> (b (((^x.x) a)(a (a a)))) 5. ==[ beta ]==> (b (a (a (a a)))) REDUCED to normal form. ------ 35972/2254683. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(c (^b.(^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. ------ 35973/2254845. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.a)(a (a a)))) 3. ==[ beta ]==> (b ((^z.a)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.a)(a (a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 35974/2254872. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 35975/2254899. ------ 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)((^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. ------ 35976/2254953. ------ 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))(^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. ------ 35977/2255034. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 35978/2255043. ------ 1. ==[ start ]==> (((a b)(^a.a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(^x.x))(b (^z.z))) 4. ==[ alpha ]==> (((a b)(^x.x))(b (^y.y))) REDUCED to normal form. ------ 35979/2255061. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.a)(^c.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.a))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.a)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.a)) REDUCED to normal form. ------ 35980/2255079. ------ 1. ==[ start ]==> (((a a)(a b))((^c.a) a)) 2. ==[ alpha ]==> (((a a)(a b))((^x.a) a)) 3. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 35981/2255106. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(^z.z)) 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. ------ 35982/2255241. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x)(^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. ------ 35983/2255268. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a a))((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a a))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 35984/2255277. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 35985/2255304. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((^y.a)((^z.z) a)) 6. ==[ alpha ]==> ((^x.a)((^y.y) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 35986/2255358. ------ 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.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)((^z1.z1)(^x2.x2)))) 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. ------ 35987/2255439. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (b ((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 35988/2255448. ------ 1. ==[ start ]==> (((a b) b)(c ((^a.a) a))) 2. ==[ alpha ]==> (((a b) b)(c ((^x.x) a))) 3. ==[ beta ]==> (((a b) b)(c a)) REDUCED to normal form. ------ 35989/2255475. ------ 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. ------ 35990/2255493. ------ 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)))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 35991/2255502. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(a (^y.y))) REDUCED to normal form. ------ 35992/2255529. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (a a))(a a))) REDUCED to normal form. ------ 35993/2255583. ------ 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))((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 35994/2255610. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a)(a (a a)))) 5. ==[ beta ]==> ((^y.(y y))((a a)(a (a a)))) 6. ==[ alpha ]==> ((^x.(x x))((a a)(a (a a)))) 7. ==[ beta ]==> (((a a)(a (a a)))((a a)(a (a a)))) REDUCED to normal form. ------ 35995/2255655. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^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. ------ 35996/2255727. ------ 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)))) 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. ------ 35997/2255754. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (a a)) a)) REDUCED to normal form. ------ 35998/2255781. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((^y.y) a) b)) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y) a) b)) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x) a) b)) 5. ==[ beta ]==> ((a ((a a) a))(a b)) REDUCED to normal form. ------ 35999/2255862. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(y y)) a)) 3. ==[ beta ]==> ((((a a) a) a)((^y.(y y)) a)) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(x x)) a)) 5. ==[ beta ]==> ((((a a) a) a)(a a)) REDUCED to normal form. ------ 36000/2255880. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.b) c)(((^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. ------ 36001/2255889. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.a) b)) 3. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 36002/2255979. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a 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 REDUCED to normal form. ------ 36003/2256114. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 36004/2256123. ------ 1. ==[ start ]==> (((a b) c)(a ((^a.a) a))) 2. ==[ alpha ]==> (((a b) c)(a ((^x.x) a))) 3. ==[ beta ]==> (((a b) c)(a a)) REDUCED to normal form. ------ 36005/2256150. ------ 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))) REDUCED to normal form. ------ 36006/2256177. ------ 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. ------ 36007/2256195. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(a (^z.a))) 3. ==[ beta ]==> (((a a)(^y.y))(a (^z.a))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.a))) REDUCED to normal form. ------ 36008/2256222. ------ 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)((^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. ------ 36009/2256231. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(b b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(b b)) REDUCED to normal form. ------ 36010/2256258. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(a c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(a c)) 3. ==[ beta ]==> ((a (^y.b))(a c)) 4. ==[ alpha ]==> ((a (^x.b))(a c)) REDUCED to normal form. ------ 36011/2256276. ------ 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) a))((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 36012/2256312. ------ 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. ------ 36013/2256339. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a a)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a a)(a a))) REDUCED to normal form. ------ 36014/2256357. ------ 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 (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 36015/2256366. ------ 1. ==[ start ]==> (((a b)(^b.a))(b a)) 2. ==[ alpha ]==> (((a b)(^x.a))(b a)) REDUCED to normal form. ------ 36016/2256393. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 36017/2256420. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(a (a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (a a))) REDUCED to normal form. ------ 36018/2256455. ------ 1. ==[ start ]==> (^a.((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (^x.((x x)((x x)(^y.y)))) REDUCED to normal form. ------ 36019/2256456. ------ 1. ==[ start ]==> (a ((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (a ((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 36020/2256711. ------ 1. ==[ start ]==> ((^a.(^b.a))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 36021/2260134. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a))) a) 2. ==[ alpha ]==> (((a a)((a a)(^x.x))) a) REDUCED to normal form. ------ 36022/2260140. ------ 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. ------ 36023/2260230. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a b)(^b.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. ------ 36024/2260392. ------ 1. ==[ start ]==> ((^a.(^b.a))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (^x.((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 36025/2260395. ------ 1. ==[ start ]==> ((a (^b.a))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 36026/2260656. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(^y.((y y)(^z.z)))) 3. ==[ beta ]==> (((a a) a)(^y.((y y)(^z.z)))) 4. ==[ alpha ]==> (((a a) a)(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 36027/2260734. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)((^y.y) a))((((a a) a)((^y.y) a))(((a a) a)((^y.y) a)))) 4. ==[ alpha ]==> ((((a a) a)((^x.x) a))((((a a) a)((^y.y) a))(((a a) a)((^z.z) a)))) 5. ==[ beta ]==> ((((a a) a) a)((((a a) a)((^y.y) a))(((a a) a)((^z.z) a)))) 6. ==[ alpha ]==> ((((a a) a) a)((((a a) a)((^x.x) a))(((a a) a)((^y.y) a)))) 7. ==[ beta ]==> ((((a a) a) a)((((a a) a) a)(((a a) a)((^y.y) a)))) 8. ==[ alpha ]==> ((((a a) a) a)((((a a) a) a)(((a a) a)((^x.x) a)))) 9. ==[ beta ]==> ((((a a) a) a)((((a a) a) a)(((a a) a) a))) REDUCED to normal form. ------ 36028/2260890. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 36029/2260959. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a) a)(^x1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 36030/2261097. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^c.(^b.(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. ------ 36031/2261322. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 36032/2261517. ------ 1. ==[ start ]==> ((^a.((a a) a))((a a)(a b))) 2. ==[ alpha ]==> ((^x.((x x) x))((a a)(a b))) 3. ==[ beta ]==> ((((a a)(a b))((a a)(a b)))((a a)(a b))) REDUCED to normal form. ------ 36033/2261727. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(a x1))) 3. ==[ eta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 36034/2261925. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(^y.(y b))) 3. ==[ beta ]==> ((a (a (a a)))(^y.(y b))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.(x b))) REDUCED to normal form. ------ 36035/2262030. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> ((((^y.y) a)(a (a a))) b) 4. ==[ alpha ]==> ((((^x.x) a)(a (a a))) b) 5. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 36036/2262438. ------ 1. ==[ start ]==> (((a a)(a b))(^a.((a a) a))) 2. ==[ alpha ]==> (((a a)(a b))(^x.((x x) x))) REDUCED to normal form. ------ 36037/2262591. ------ 1. ==[ start ]==> (((^a.b) b)(^a.(^c.a))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(^z.y))) 3. ==[ beta ]==> (b (^y.(^z.y))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 36038/2262717. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 36039/2262861. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 36040/2262996. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 36041/2263221. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(^y.(y (y y)))) 3. ==[ beta ]==> ((((a a) a) a)(^y.(y (y y)))) 4. ==[ alpha ]==> ((((a a) a) a)(^x.(x (x x)))) REDUCED to normal form. ------ 36042/2263299. ------ 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)) 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. ------ 36043/2263473. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 36044/2263482. ------ 1. ==[ start ]==> (((a b) c)(^b.(^b.a))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.a))) REDUCED to normal form. ------ 36045/2263554. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^b.c)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.c)) 3. ==[ beta ]==> (((a a)(^y.y))(^z.c)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.c)) REDUCED to normal form. ------ 36046/2263617. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.b))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(a (^z.z)))) REDUCED to normal form. ------ 36047/2263671. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 36048/2263716. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^b.b)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.z)) 3. ==[ beta ]==> (b (^z.z)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 36049/2263725. ------ 1. ==[ start ]==> (((a b)(^b.a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 36050/2263752. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 36051/2263779. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^b.(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 36052/2263815. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^a.a)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 36053/2263827. ------ 1. ==[ start ]==> ((a a)((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a a)((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 36054/2263863. ------ 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)) REDUCED to normal form. ------ 36055/2263890. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a)(a a))(^a.(^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. ------ 36056/2263899. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 36057/2263917. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(^z.a))) REDUCED to normal form. ------ 36058/2263926. ------ 1. ==[ start ]==> (((^a.a) b)((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x) b)((^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. ------ 36059/2263971. ------ 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.(^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. ------ 36060/2263980. ------ 1. ==[ start ]==> (((a a) b)((^b.(^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. ------ 36061/2264007. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))((a a) a))) 3. ==[ beta ]==> (((a (^x.x)) a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 36062/2264025. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.b))) 5. ==[ beta ]==> ((a (^x.x))(a (^z.b))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.b))) REDUCED to normal form. ------ 36063/2264034. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.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. ------ 36064/2264052. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((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. ------ 36065/2264061. ------ 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.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. ------ 36066/2264079. ------ 1. ==[ start ]==> ((a (^b.a))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 36067/2264115. ------ 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)((^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. ------ 36068/2264160. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a b) c)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a b) c)) 3. ==[ beta ]==> ((^y.a)((a b) c)) 4. ==[ alpha ]==> ((^x.a)((a b) c)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 36069/2264196. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 36070/2264223. ------ 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)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 36071/2264250. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a a)(^x.a))((^z.a)(^z.a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 36072/2264277. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.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. ------ 36073/2264304. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(^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. ------ 36074/2264340. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(a ((a a)(^y.y)))) 3. ==[ beta ]==> (((a a) a)(a ((a a)(^y.y)))) 4. ==[ alpha ]==> (((a a) a)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 36075/2264367. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a)(a a))) REDUCED to normal form. ------ 36076/2264394. ------ 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. ------ 36077/2264421. ------ 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. ------ 36078/2264547. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(b (^y.(a a)))) REDUCED to normal form. ------ 36079/2264574. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 36080/2264601. ------ 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 a)) REDUCED to normal form. ------ 36081/2264619. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 36082/2264628. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.x)) b) REDUCED to normal form. ------ 36083/2264646. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)(^z.a))) REDUCED to normal form. ------ 36084/2264736. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.a)((a a) a))) 3. ==[ beta ]==> ((b b)((^y.a)((a a) a))) 4. ==[ alpha ]==> ((b b)((^x.a)((a a) a))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 36085/2264781. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 36086/2264808. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 36087/2264871. ------ 1. ==[ start ]==> (((a (a a)) b)((^c.a)(^b.a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.a)(^y.a))) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 36088/2264898. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (a ((^y.(^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(z z)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 36089/2264925. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 36090/2264952. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 36091/2264979. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 36092/2265006. ------ 1. ==[ start ]==> (((a (a a))(^a.(^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. ------ 36093/2265069. ------ 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)(^y.y))(((a a) a)(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 36094/2265096. ------ 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))((^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)))((^z.z) a)) 6. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y) a)) 7. ==[ beta ]==> (((a (^x.x))(a (a a))) a) REDUCED to normal form. ------ 36095/2265123. ------ 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. ------ 36096/2265150. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (a a))(a (^x.x)))(a (^z.z))) 6. ==[ alpha ]==> (((a (a a))(a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 36097/2265177. ------ 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. ------ 36098/2265204. ------ 1. ==[ start ]==> ((a ((a a) a))((a a)(a b))) REDUCED to normal form. ------ 36099/2265240. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((a b)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.y))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 36100/2265294. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (a (((^z.z)(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))(^z.a))) 7. ==[ beta ]==> (a ((^y.y)(^z.a))) 8. ==[ alpha ]==> (a ((^x.x)(^y.a))) 9. ==[ beta ]==> (a (^y.a)) 10. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 36101/2265330. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(y y))(a (a a)))) 5. ==[ beta ]==> (b ((^y.(y y))(a (a a)))) 6. ==[ alpha ]==> (b ((^x.(x x))(a (a a)))) 7. ==[ beta ]==> (b ((a (a a))(a (a a)))) REDUCED to normal form. ------ 36102/2265357. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 36103/2265402. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a a)(^y1.b))) 3. ==[ beta ]==> ((^y.y)((a a)(^y1.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. ------ 36104/2265411. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a b)) REDUCED to normal form. ------ 36105/2265438. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.b)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.b)(^z.z))) 5. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 36106/2265456. ------ 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)((^y.y) 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)) 7. ==[ beta ]==> ((a a)(((a a) a) b)) REDUCED to normal form. ------ 36107/2265465. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^c.a)(^a.(^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. ------ 36108/2265492. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 36109/2265519. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 36110/2265582. ------ 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. ------ 36111/2265609. ------ 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. ------ 36112/2265636. ------ 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. ------ 36113/2265663. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)(a (^x1.x1)))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(a (^z.z)))) 9. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 10. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 36114/2265690. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((a (a a))((^x.x) a))) 3. ==[ beta ]==> ((((a a) a)(a a))((a (a a)) a)) REDUCED to normal form. ------ 36115/2265717. ------ 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. ------ 36116/2265807. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a) a)(^z.z))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((a a) a)(^z.z))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a) a)(^z.z))) IRREDUCIBLE: cycle. ------ 36117/2265870. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(x x))((^y.y) a))) 3. ==[ beta ]==> ((((a a) a) b)(((^y.y) a)((^y.y) a))) 4. ==[ alpha ]==> ((((a a) a) b)(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> ((((a a) a) b)(a ((^y.y) a))) 6. ==[ alpha ]==> ((((a a) a) b)(a ((^x.x) a))) 7. ==[ beta ]==> ((((a a) a) b)(a a)) REDUCED to normal form. ------ 36118/2265888. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> (b (a (^y.(y y)))) 6. ==[ alpha ]==> (b (a (^x.(x x)))) REDUCED to normal form. ------ 36119/2265897. ------ 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. ------ 36120/2265915. ------ 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)))) REDUCED to normal form. ------ 36121/2265924. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 36122/2265978. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.x1))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 36123/2265996. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y)(^z.z)) b)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(^y.y)) b)) 5. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y) b)) 6. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x) b)) 7. ==[ beta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 36124/2266005. ------ 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.(^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. ------ 36125/2266032. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> ((^y.a)((^z.(z z))(^x1.a))) 6. ==[ alpha ]==> ((^x.a)((^y.(y y))(^z.a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 36126/2266059. ------ 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. ------ 36127/2266086. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 36128/2266122. ------ 1. ==[ start ]==> (((a a)(a b))(a ((a a) a))) REDUCED to normal form. ------ 36129/2266149. ------ 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 (^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. ------ 36130/2266176. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a (a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (a a))(a (^z.z)))) 5. ==[ beta ]==> ((a (^y.y))((a (a a))(a (^z.z)))) 6. ==[ alpha ]==> ((a (^x.x))((a (a a))(a (^y.y)))) REDUCED to normal form. ------ 36131/2266203. ------ 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. ------ 36132/2266230. ------ 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)))) REDUCED to normal form. ------ 36133/2266257. ------ 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 (^x.x)))((a a)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 36134/2266275. ------ 1. ==[ start ]==> (((^a.b) b)(a (^c.a))) 2. ==[ alpha ]==> (((^x.b) b)(a (^y.a))) 3. ==[ beta ]==> (b (a (^y.a))) 4. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 36135/2266320. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(a a))((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 36136/2266347. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (((^y.y) a)(^z.a)) 6. ==[ alpha ]==> (((^x.x) a)(^y.a)) 7. ==[ beta ]==> (a (^y.a)) 8. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 36137/2266401. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a a)(^b.(^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. ------ 36138/2266482. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 36139/2266491. ------ 1. ==[ start ]==> (((a b) b)((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a b) b)((^x.a)(^y.a))) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 36140/2266518. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 36141/2266545. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 36142/2266563. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 36143/2266617. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.a) c)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.a) c)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.a) c)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.a) c)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a) c)) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a) c)) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a) c)) 9. ==[ beta ]==> ((^y.y)((^z.a) c)) 10. ==[ alpha ]==> ((^x.x)((^y.a) c)) 11. ==[ beta ]==> ((^y.a) c) 12. ==[ alpha ]==> ((^x.a) c) 13. ==[ beta ]==> a REDUCED to normal form. ------ 36144/2266626. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(c (^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(c (^z.a))) REDUCED to normal form. ------ 36145/2266653. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(b (^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(b (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b (^z.(z z)))) 5. ==[ beta ]==> ((^y.(y y))(b (^z.(z z)))) 6. ==[ alpha ]==> ((^x.(x x))(b (^y.(y y)))) 7. ==[ beta ]==> ((b (^y.(y y)))(b (^y.(y y)))) 8. ==[ alpha ]==> ((b (^x.(x x)))(b (^y.(y y)))) REDUCED to normal form. ------ 36146/2266680. ------ 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. ------ 36147/2266698. ------ 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 ((a (a a))(^z.z))) 4. ==[ alpha ]==> (b ((a (a a))(^x.x))) REDUCED to normal form. ------ 36148/2266707. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(z z))(a a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 36149/2266734. ------ 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)))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 36150/2266878. ------ 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. ------ 36151/2266905. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(a (a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(a (a (a a)))) 3. ==[ beta ]==> ((((a a) a) a)(a (a (a a)))) REDUCED to normal form. ------ 36152/2266923. ------ 1. ==[ start ]==> (((^a.b) c)(d (^a.a))) 2. ==[ alpha ]==> (((^x.b) c)(d (^y.y))) 3. ==[ beta ]==> (b (d (^y.y))) 4. ==[ alpha ]==> (b (d (^x.x))) REDUCED to normal form. ------ 36153/2266932. ------ 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 (^x.x)))(a (a a))) REDUCED to normal form. ------ 36154/2266959. ------ 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. ------ 36155/2266986. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)((^y.y) a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((a a) a)) REDUCED to normal form. ------ 36156/2267022. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.z))) 5. ==[ beta ]==> (((^y.y) a)(^z.z)) 6. ==[ alpha ]==> (((^x.x) a)(^y.y)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 36157/2267157. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a a) c)) 3. ==[ beta ]==> (b ((a a) c)) REDUCED to normal form. ------ 36158/2267166. ------ 1. ==[ start ]==> (((a b) c)((^a.a)(^b.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. ------ 36159/2267193. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(c (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(c (^y.y))) 3. ==[ beta ]==> (((a a) b)(c (^y.y))) 4. ==[ alpha ]==> (((a a) b)(c (^x.x))) REDUCED to normal form. ------ 36160/2267220. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(b (^y.(^z.z)))) REDUCED to normal form. ------ 36161/2267265. ------ 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))(^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. ------ 36162/2267274. ------ 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))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 36163/2267301. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.b))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.b))(a (^y.y))) REDUCED to normal form. ------ 36164/2267319. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a (^y.y)) a)) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a (^y.y)) a)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a (^x.x)) a)) REDUCED to normal form. ------ 36165/2267355. ------ 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)(^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. ------ 36166/2267382. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(b (^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(b (^y.y))) REDUCED to normal form. ------ 36167/2267400. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.a) b)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.z) b)) 3. ==[ beta ]==> (b ((^z.z) b)) 4. ==[ alpha ]==> (b ((^x.x) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 36168/2267409. ------ 1. ==[ start ]==> (((a b)(^b.a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 36169/2267436. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 36170/2267463. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 36171/2267499. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(a a)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 36172/2267507. ------ 1. ==[ start ]==> (^a.(b (^c.(^a.a)))) 2. ==[ alpha ]==> (^x.(b (^y.(^z.z)))) REDUCED to normal form. ------ 36173/2267508. ------ 1. ==[ start ]==> (a (b (^c.(^a.a)))) 2. ==[ alpha ]==> (a (b (^x.(^y.y)))) REDUCED to normal form. ------ 36174/2271186. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a))) b) 2. ==[ alpha ]==> (((a a)((a a)(^x.x))) b) REDUCED to normal form. ------ 36175/2271201. ------ 1. ==[ start ]==> ((^a.a)(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 3. ==[ beta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 36176/2271210. ------ 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. ------ 36177/2271255. ------ 1. ==[ start ]==> ((^a.b)((^c.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(a a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 36178/2271474. ------ 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. ------ 36179/2271525. ------ 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 a) REDUCED to normal form. ------ 36180/2271696. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 36181/2271717. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^b.(^c.(^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. ------ 36182/2272146. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^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. ------ 36183/2272578. ------ 1. ==[ start ]==> ((^a.((a a) a))(b (^a.b))) 2. ==[ alpha ]==> ((^x.((x x) x))(b (^y.b))) 3. ==[ beta ]==> (((b (^y.b))(b (^y.b)))(b (^y.b))) 4. ==[ alpha ]==> (((b (^x.b))(b (^y.b)))(b (^z.b))) REDUCED to normal form. ------ 36184/2272788. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^c.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.b))) REDUCED to normal form. ------ 36185/2272986. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(^y.(^z.y))) 3. ==[ beta ]==> ((a (a (a a)))(^y.(^z.y))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.x))) REDUCED to normal form. ------ 36186/2273478. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^y.((b ((^z.z)(^x1.x1)))(b ((^z.z)(^x1.x1))))) 4. ==[ alpha ]==> (^x.((b ((^y.y)(^z.z)))(b ((^x1.x1)(^y1.y1))))) 5. ==[ beta ]==> (^x.((b (^z.z))(b ((^x1.x1)(^y1.y1))))) 6. ==[ alpha ]==> (^x.((b (^y.y))(b ((^z.z)(^x1.x1))))) 7. ==[ beta ]==> (^x.((b (^y.y))(b (^x1.x1)))) 8. ==[ alpha ]==> (^x.((b (^y.y))(b (^z.z)))) REDUCED to normal form. ------ 36187/2273499. ------ 1. ==[ start ]==> (((a a)(a b))(^b.(^c.a))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(^y.a))) REDUCED to normal form. ------ 36188/2273661. ------ 1. ==[ start ]==> (((a b)(a a))(^a.(^c.a))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(^y.x))) REDUCED to normal form. ------ 36189/2273685. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))(a a))((^z.(^x1.x1))(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(a a))((^x1.(^y1.y1))(a a)))) 5. ==[ beta ]==> (((^y.(^z.z))(a a))((^x1.(^y1.y1))(a a))) 6. ==[ alpha ]==> (((^x.(^y.y))(a a))((^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 ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 36190/2273940. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^a.((^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 ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 36191/2274174. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(a (a a)))) REDUCED to normal form. ------ 36192/2274282. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a) a)(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 36193/2274360. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(b (^z.a))) 3. ==[ beta ]==> (((b (^z.a))(b (^z.a)))(^y.y)) 4. ==[ alpha ]==> (((b (^x.a))(b (^y.a)))(^z.z)) REDUCED to normal form. ------ 36194/2274543. ------ 1. ==[ start ]==> (((a b) c)(^c.c)) 2. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 36195/2274678. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^c.(^a.(^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. ------ 36196/2274732. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^c.b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^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. ------ 36197/2274777. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^c.(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(a a))) 3. ==[ beta ]==> (b (^z.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 36198/2274786. ------ 1. ==[ start ]==> (((a b)(^b.a))(^b.b)) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 36199/2274876. ------ 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. ------ 36200/2274897. ------ 1. ==[ start ]==> ((a a)(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((a a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 36201/2274906. ------ 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. ------ 36202/2274942. ------ 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. ------ 36203/2274951. ------ 1. ==[ start ]==> ((a b)((^c.(^a.a))(a a))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))(a a))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 36204/2274969. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 36205/2274996. ------ 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. ------ 36206/2275005. ------ 1. ==[ start ]==> (((a a)(a a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.b)((^y.y) a))) 3. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 36207/2275023. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 36208/2275050. ------ 1. ==[ start ]==> (((a a) b)(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)((^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. ------ 36209/2275104. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.b))) REDUCED to normal form. ------ 36210/2275131. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(^x1.(a a)))) REDUCED to normal form. ------ 36211/2275167. ------ 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. ------ 36212/2275185. ------ 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)(((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. ------ 36213/2275221. ------ 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 a)) REDUCED to normal form. ------ 36214/2275392. ------ 1. ==[ start ]==> ((a (^a.(a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(b ((^y.y)(a a)))) 3. ==[ beta ]==> ((a (^x.(x x)))(b (a a))) REDUCED to normal form. ------ 36215/2275482. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.b) c)) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.b) c)) 3. ==[ beta ]==> ((a a)((^y.b) c)) 4. ==[ alpha ]==> ((a a)((^x.b) c)) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 36216/2275500. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> ((^y.(y y))(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> ((^x.(x x))(((a a) a)((^y.y) a))) 5. ==[ beta ]==> ((((a a) a)((^y.y) a))(((a a) a)((^y.y) a))) 6. ==[ alpha ]==> ((((a a) a)((^x.x) 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. ------ 36217/2275527. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 36218/2275581. ------ 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 ]==> (((^y.y)(^y.y))(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)((a a) a))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)((a a) a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)((a a) a))) 7. ==[ beta ]==> (((^y.y) a)((a a) a)) 8. ==[ alpha ]==> (((^x.x) a)((a a) a)) 9. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 36219/2275608. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((a (^y.y))(a b))) 3. ==[ beta ]==> ((a (a a))((a (^y.y))(a b))) 4. ==[ alpha ]==> ((a (a a))((a (^x.x))(a b))) REDUCED to normal form. ------ 36220/2275635. ------ 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)((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. ------ 36221/2275671. ------ 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))(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(a a))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a 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. ------ 36222/2275698. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 36223/2275761. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 36224/2275788. ------ 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. ------ 36225/2275806. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((b b)(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> ((b b)(((^x.x) a)(^y.a))) 5. ==[ beta ]==> ((b b)(a (^y.a))) 6. ==[ alpha ]==> ((b b)(a (^x.a))) REDUCED to normal form. ------ 36226/2275815. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.a)((a a) a))) 3. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 36227/2275842. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 36228/2275941. ------ 1. ==[ start ]==> (((a (a a)) b)(((a a) a) c)) REDUCED to normal form. ------ 36229/2276067. ------ 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. ------ 36230/2276103. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(a a)) a)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a)) a)) 5. ==[ beta ]==> ((^y.y)((^z.(a a)) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(a a)) a)) 7. ==[ beta ]==> ((^y.(a a)) a) 8. ==[ alpha ]==> ((^x.(a a)) a) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 36231/2276274. ------ 1. ==[ start ]==> ((a ((a a) a))(b (^a.b))) 2. ==[ alpha ]==> ((a ((a a) a))(b (^x.b))) REDUCED to normal form. ------ 36232/2276400. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (a a))(^z.(z z)))) 3. ==[ beta ]==> (((^y.y) b)((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> (((^x.x) b)((a (a a))(^y.(y y)))) 5. ==[ beta ]==> (b ((a (a a))(^y.(y y)))) 6. ==[ alpha ]==> (b ((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 36233/2276427. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a) a)(^b.(^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. ------ 36234/2276481. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^x1.b))) REDUCED to normal form. ------ 36235/2276508. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a b) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a b) a)) 3. ==[ beta ]==> ((a (^y.(y y)))((a b) a)) 4. ==[ alpha ]==> ((a (^x.(x x)))((a b) a)) REDUCED to normal form. ------ 36236/2276535. ------ 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. ------ 36237/2276625. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 36238/2276679. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.y)(^z.b))) 3. ==[ beta ]==> ((a (a (a a)))((^y.y)(^z.b))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.x)(^y.b))) 5. ==[ beta ]==> ((a (a (a a)))(^y.b)) 6. ==[ alpha ]==> ((a (a (a a)))(^x.b)) REDUCED to normal form. ------ 36239/2276796. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> ((^y.b)(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> ((^x.b)(((^y.y) a)(a (a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 36240/2276940. ------ 1. ==[ start ]==> ((((a a) a) b)((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a) b)((a (a a))(^x.a))) REDUCED to normal form. ------ 36241/2276967. ------ 1. ==[ start ]==> (((a b) a)(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b) a)(((^x.x) 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. ------ 36242/2276994. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 36243/2277048. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 36244/2277075. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((^z.z) b)) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y) b)) 5. ==[ beta ]==> (((a (a a))(^x.(x x))) b) REDUCED to normal form. ------ 36245/2277102. ------ 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 REDUCED to normal form. ------ 36246/2277147. ------ 1. ==[ start ]==> (((^a.b)(a a))(c (a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(c (a (a a)))) 3. ==[ beta ]==> (b (c (a (a a)))) REDUCED to normal form. ------ 36247/2277174. ------ 1. ==[ start ]==> ((a (^b.(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (^x.(a a)))(b (^z.z))) 4. ==[ alpha ]==> ((a (^x.(a a)))(b (^y.y))) REDUCED to normal form. ------ 36248/2277192. ------ 1. ==[ start ]==> (((a a)(a b))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.x)(^y.a))) 3. ==[ beta ]==> (((a a)(a b))(^y.a)) 4. ==[ alpha ]==> (((a a)(a b))(^x.a)) REDUCED to normal form. ------ 36249/2277327. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 36250/2277354. ------ 1. ==[ start ]==> (((a b)(a a))(a (^c.a))) 2. ==[ alpha ]==> (((a b)(a a))(a (^x.a))) REDUCED to normal form. ------ 36251/2277381. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((a ((^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))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 36252/2277561. ------ 1. ==[ start ]==> (((a b) b)(((^a.a) a) c)) 2. ==[ alpha ]==> (((a b) b)(((^x.x) a) c)) 3. ==[ beta ]==> (((a b) b)(a c)) REDUCED to normal form. ------ 36253/2277606. ------ 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. ------ 36254/2277633. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(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. ------ 36255/2277642. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 36256/2277687. ------ 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. ------ 36257/2277696. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 36258/2277777. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (a a))(^z.z))) REDUCED to normal form. ------ 36259/2277804. ------ 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)(^x.x))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 36260/2277840. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 36261/2277867. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(a (a a))) REDUCED to normal form. ------ 36262/2277894. ------ 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))) 5. ==[ beta ]==> ((a ((a a) a))((^y.y)(^y.y))) 6. ==[ alpha ]==> ((a ((a a) a))((^x.x)(^y.y))) 7. ==[ beta ]==> ((a ((a a) a))(^y.y)) 8. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 36263/2277921. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 36264/2277948. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(^x1.x1))(^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. ------ 36265/2277975. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) 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)))) 5. ==[ beta ]==> ((((a a) a) a)(^y.(y y))) 6. ==[ alpha ]==> ((((a a) a) a)(^x.(x x))) REDUCED to normal form. ------ 36266/2277993. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 36267/2278056. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(b (^y.a))) REDUCED to normal form. ------ 36268/2278227. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 36269/2278236. ------ 1. ==[ start ]==> (((a b) c)((a a) c)) REDUCED to normal form. ------ 36270/2278263. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 36271/2278290. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z)) b)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 36272/2278308. ------ 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. ------ 36273/2278344. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 36274/2278371. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a a)(^a.(^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. ------ 36275/2278425. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a a) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a) b)) 5. ==[ beta ]==> ((^y.(^z.z))((a a) b)) 6. ==[ alpha ]==> ((^x.(^y.y))((a a) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 36276/2278452. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(^z.z)) 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. ------ 36277/2278470. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a a)(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a a)(a a))) 3. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 36278/2278479. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.a) b)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.y) b)) 3. ==[ beta ]==> (((a b)(^x.a)) b) REDUCED to normal form. ------ 36279/2278506. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 36280/2278533. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a a) a)) REDUCED to normal form. ------ 36281/2278569. ------ 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. ------ 36282/2282298. ------ 1. ==[ start ]==> ((^a.(^a.a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 36283/2282343. ------ 1. ==[ start ]==> ((^a.b)(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.b)(((a a)(^y.y))(^z.z))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 36284/2282379. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 36285/2282424. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(^z.(z z)))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 36286/2282541. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^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. ------ 36287/2282613. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z)(a a)) b)) 3. ==[ eta ]==> ((^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. ------ 36288/2282784. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(^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. ------ 36289/2282883. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.b) c)) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.b) c)) 3. ==[ beta ]==> (((^y.b) c)(((^y.b) c)((^y.b) c))) 4. ==[ alpha ]==> (((^x.b) c)(((^y.b) c)((^z.b) c))) 5. ==[ beta ]==> (b (((^y.b) c)((^z.b) c))) 6. ==[ alpha ]==> (b (((^x.b) c)((^y.b) c))) 7. ==[ beta ]==> (b (b ((^y.b) c))) 8. ==[ alpha ]==> (b (b ((^x.b) c))) 9. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 36290/2283039. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^z.(a a))) REDUCED to normal form. ------ 36291/2283108. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b)(a (^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 36292/2283234. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a (^x1.x1))(^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. ------ 36293/2283273. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 36294/2283498. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.((^y1.y1)(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((^x1.x1)(z z)))) 5. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(z z)))) 6. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(y y)))) 7. ==[ beta ]==> (^y.((^z.z)(y y))) 8. ==[ alpha ]==> (^x.((^y.y)(x x))) 9. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 36295/2283705. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(y y)))) 5. ==[ beta ]==> (^y.(^z.(y y))) 6. ==[ alpha ]==> (^x.(^y.(x x))) REDUCED to normal form. ------ 36296/2283999. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 36297/2284272. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(^x1.b))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.(^x1.b))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(^x1.b))) IRREDUCIBLE: cycle. ------ 36298/2284566. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1))(^y1.(^z1.z1)))((^z.(^x1.x1))(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z))(^x1.(^y1.y1)))((^z1.(^x2.x2))(^y2.(^z2.z2))))) 5. ==[ beta ]==> (^x.((^z.z)((^z1.(^x2.x2))(^y2.(^z2.z2))))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1))(^y1.(^z1.z1))))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(^y1.y1)))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 36299/2284740. ------ 1. ==[ start ]==> (((^a.b) b)(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 36300/2284773. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((((^z.z)(^x1.x1))(^y1.y1))(((^z.z)(^x1.x1))(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((((^y.y)(^z.z))(^x1.x1))(((^y1.y1)(^z1.z1))(^x2.x2)))) 5. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.x1))(((^y1.y1)(^z1.z1))(^x2.x2))) 6. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1)(^y1.y1))(^z1.z1))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(^z1.z1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.y1))) 9. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.y1))) 10. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.x1))) 11. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 12. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 13. ==[ beta ]==> ((^y.y)(^z.z)) 14. ==[ alpha ]==> ((^x.x)(^y.y)) 15. ==[ beta ]==> (^y.y) 16. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 36301/2285028. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^b.(^b.(^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. ------ 36302/2285037. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.x1))) REDUCED to normal form. ------ 36303/2285145. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^c.(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(a (a a)))) REDUCED to normal form. ------ 36304/2285163. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^a.(^b.(^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. ------ 36305/2285262. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.(z z)))) REDUCED to normal form. ------ 36306/2285388. ------ 1. ==[ start ]==> (((^a.b) c)(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(y (y y)))) 3. ==[ beta ]==> (b (^y.(y (y y)))) 4. ==[ alpha ]==> (b (^x.(x (x x)))) REDUCED to normal form. ------ 36307/2285487. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^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. ------ 36308/2285631. ------ 1. ==[ start ]==> (((a b) c)(^d.(a (^a.a)))) 2. ==[ alpha ]==> (((a b) c)(^x.(a (^y.y)))) REDUCED to normal form. ------ 36309/2285658. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.((^z.z) y))) 3. ==[ eta ]==> ((((^x.x)(a a)) b)(^z.z)) 4. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.y)) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 36310/2285730. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(^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. ------ 36311/2285784. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.(a (^z.z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(a (^y.y)))) REDUCED to normal form. ------ 36312/2285847. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(y (^z.z)))) REDUCED to normal form. ------ 36313/2285874. ------ 1. ==[ start ]==> (((a b)(^b.a))(^c.(a a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(a a))) REDUCED to normal form. ------ 36314/2285928. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^a.b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.b)) REDUCED to normal form. ------ 36315/2285964. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^b.a)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.a)) REDUCED to normal form. ------ 36316/2286003. ------ 1. ==[ start ]==> ((a (^a.a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 36317/2286012. ------ 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. ------ 36318/2286048. ------ 1. ==[ start ]==> ((a b)(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a b)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 36319/2286084. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 36320/2286102. ------ 1. ==[ start ]==> (((a a)(a a))((a b)(^b.a))) 2. ==[ alpha ]==> (((a a)(a a))((a b)(^x.a))) REDUCED to normal form. ------ 36321/2286129. ------ 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. ------ 36322/2286165. ------ 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)(^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. ------ 36323/2286192. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z))((a a) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))((a a) a))) 5. ==[ beta ]==> ((a (^x.x))(((a a) a)((a a) a))) REDUCED to normal form. ------ 36324/2286219. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^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. ------ 36325/2286246. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^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. ------ 36326/2286291. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 36327/2286318. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(a a)) b)) 3. ==[ beta ]==> ((a a)(((^y.y)(a a)) b)) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a)) b)) 5. ==[ beta ]==> ((a a)((a a) b)) REDUCED to normal form. ------ 36328/2286327. ------ 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. ------ 36329/2286354. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.b)(^b.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. ------ 36330/2286408. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a ((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 36331/2286489. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(^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. ------ 36332/2286561. ------ 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 a)) REDUCED to normal form. ------ 36333/2286579. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(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. ------ 36334/2286588. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.b) c)) 2. ==[ alpha ]==> ((a (a (a a)))((^x.b) c)) 3. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 36335/2286660. ------ 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. ------ 36336/2286687. ------ 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. ------ 36337/2286714. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y))(a b))) REDUCED to normal form. ------ 36338/2286732. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(b (^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(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. ------ 36339/2286741. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((a a)(a a))) REDUCED to normal form. ------ 36340/2286786. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(a a))(a a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(a a))(a a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(a a))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 36341/2286813. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 36342/2286831. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((a a) a)(^x.a))) REDUCED to normal form. ------ 36343/2286858. ------ 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)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(^z.(z z)))) 7. ==[ beta ]==> (((a (^x.x)) a)(^z.(z z))) 8. ==[ alpha ]==> (((a (^x.x)) a)(^y.(y y))) REDUCED to normal form. ------ 36344/2286885. ------ 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. ------ 36345/2286939. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 36346/2286948. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 36347/2286975. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 36348/2287029. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((^y1.b)(^z1.(^x2.x2)))) 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. ------ 36349/2287083. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 36350/2287110. ------ 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.(^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. ------ 36351/2287146. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(c ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(c ((a a) a))) 3. ==[ beta ]==> ((a (^y.a))(c ((a a) a))) 4. ==[ alpha ]==> ((a (^x.a))(c ((a a) a))) REDUCED to normal form. ------ 36352/2287164. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(^y1.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. ------ 36353/2287173. ------ 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. ------ 36354/2287200. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a ((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.y)(a ((^z.z)(a a)))) 6. ==[ alpha ]==> ((^x.x)(a ((^y.y)(a a)))) 7. ==[ beta ]==> (a ((^y.y)(a a))) 8. ==[ alpha ]==> (a ((^x.x)(a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 36355/2287236. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.b) b)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.b) b)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b) b)) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 36356/2287407. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(a (^y1.(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. ------ 36357/2287461. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> (a ((^z.a)(a (^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.a)(a (^y.y)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 36358/2287542. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 36359/2287569. ------ 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.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. ------ 36360/2287623. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.b)(^x1.x1))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.b)(^x1.x1))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.b)(^x1.x1))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.b)(^x1.x1))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)(^z.z))) 7. ==[ beta ]==> ((a a)((^y.b)(^z.z))) 8. ==[ alpha ]==> ((a a)((^x.b)(^y.y))) 9. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 36361/2287704. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.b))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 36362/2287803. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.b) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.b) a)) 3. ==[ beta ]==> (((a (a a)) a)((^y.b) a)) 4. ==[ alpha ]==> (((a (a a)) a)((^x.b) a)) 5. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 36363/2287857. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y)) c)) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 36364/2287875. ------ 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 (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. ------ 36365/2287974. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(a (^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a (^z.b))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(a (^z.b))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a (^z.b))) IRREDUCIBLE: cycle. ------ 36366/2288055. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (b ((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> (b (((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> (b (((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> (b (a ((^y.y) a))) 8. ==[ alpha ]==> (b (a ((^x.x) a))) 9. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 36367/2288082. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.a)(a (a a)))) 3. ==[ beta ]==> ((a b)((^y.a)(a (a a)))) 4. ==[ alpha ]==> ((a b)((^x.a)(a (a a)))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 36368/2288109. ------ 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.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. ------ 36369/2288244. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (b ((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 36370/2288253. ------ 1. ==[ start ]==> (((a b)(^a.a))(c (a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(c (a (a a)))) REDUCED to normal form. ------ 36371/2288271. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 36372/2288343. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1)) b)) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z)) b)) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 36373/2288442. ------ 1. ==[ start ]==> (((^a.b) b)((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 36374/2288478. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(^z.z))) 5. ==[ beta ]==> ((a (a a))((^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. ------ 36375/2288487. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.(^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. ------ 36376/2288514. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(x1 x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(a (^y1.y1)))) 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. ------ 36377/2288568. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(^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. ------ 36378/2288649. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 36379/2288703. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(z z)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 36380/2288712. ------ 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. ------ 36381/2288730. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 36382/2288739. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(a (^z.z))) REDUCED to normal form. ------ 36383/2288793. ------ 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. ------ 36384/2288820. ------ 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 (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(y y))((a (^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.(x x))((a (^y.y))((^z.z) a))) 7. ==[ beta ]==> (((a (^y.y))((^z.z) a))((a (^y.y))((^z.z) a))) 8. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a (^z.z))((^x1.x1) a))) 9. ==[ beta ]==> (((a (^x.x)) a)((a (^z.z))((^x1.x1) a))) 10. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))((^z.z) a))) 11. ==[ beta ]==> (((a (^x.x)) a)((a (^y.y)) a)) REDUCED to normal form. ------ 36385/2288847. ------ 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. ------ 36386/2288865. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 36387/2288937. ------ 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)(a a))((a (^y.y))(^z.a))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 36388/2288964. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a a)(^y.(y y)))) REDUCED to normal form. ------ 36389/2288991. ------ 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. ------ 36390/2289018. ------ 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. ------ 36391/2289090. ------ 1. ==[ start ]==> (((^a.b) c)(a (a (a a)))) 2. ==[ alpha ]==> (((^x.b) c)(a (a (a a)))) 3. ==[ beta ]==> (b (a (a (a a)))) REDUCED to normal form. ------ 36392/2289099. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(y y)) a)) 3. ==[ beta ]==> (((a b)(a (^x.x)))(a a)) REDUCED to normal form. ------ 36393/2289126. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.a) b)) 3. ==[ beta ]==> (((a a)(a a))((^y.a) b)) 4. ==[ alpha ]==> (((a a)(a a))((^x.a) b)) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 36394/2289189. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(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. ------ 36395/2289324. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 36396/2289333. ------ 1. ==[ start ]==> (((a b) c)(b (a (^a.a)))) 2. ==[ alpha ]==> (((a b) c)(b (a (^x.x)))) REDUCED to normal form. ------ 36397/2289360. ------ 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. ------ 36398/2289387. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.y))(a a))) REDUCED to normal form. ------ 36399/2289405. ------ 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)))) REDUCED to normal form. ------ 36400/2289432. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(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. ------ 36401/2289441. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(c a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(c a)) REDUCED to normal form. ------ 36402/2289468. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(b b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(b b)) 3. ==[ beta ]==> ((a (^y.b))(b b)) 4. ==[ alpha ]==> ((a (^x.b))(b b)) REDUCED to normal form. ------ 36403/2289486. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)(a (^y.y)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(a (^y.y))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(a (^x.x))) REDUCED to normal form. ------ 36404/2289522. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(b (a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(b (a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(b (a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (a a))) 5. ==[ beta ]==> ((^y.(^z.z))(b (a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(b (a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 36405/2289549. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(a (a (^y.y)))) REDUCED to normal form. ------ 36406/2289567. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(b (^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(b (^z.z))) 3. ==[ beta ]==> (b (b (^z.z))) 4. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 36407/2289576. ------ 1. ==[ start ]==> (((a b)(^b.a))((a a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a a)(a a))) REDUCED to normal form. ------ 36408/2289603. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 36409/2289630. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(a b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a b)) REDUCED to normal form. ------ 36410/2289666. ------ 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. ------ 36411/2289692. ------ 1. ==[ start ]==> (^a.((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (^x.((x (^y.y))((^z.z)(x x)))) 3. ==[ beta ]==> (^x.((x (^y.y))(x x))) REDUCED to normal form. ------ 36412/2289693. ------ 1. ==[ start ]==> (a ((a (^a.a))((^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. ------ 36413/2293398. ------ 1. ==[ start ]==> (((a (^a.a))((^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. ------ 36414/2293404. ------ 1. ==[ start ]==> ((^a.a)((a (^a.a))((^a.a)(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. ------ 36415/2293431. ------ 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. ------ 36416/2293494. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 36417/2293656. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (^y.((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (^x.((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 36418/2293695. ------ 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)(^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. ------ 36419/2293947. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.((z z)(^x1.x1)))) REDUCED to normal form. ------ 36420/2293998. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a b)(a (^y.y)))) 3. ==[ beta ]==> (((a b)(a (^y.y)))(((a b)(a (^y.y)))((a b)(a (^y.y))))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(((a b)(a (^y.y)))((a b)(a (^z.z))))) REDUCED to normal form. ------ 36421/2294223. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 36422/2294613. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(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. ------ 36423/2294781. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.((x x) x))((a (^y.y))((a a) a))) 3. ==[ beta ]==> ((((a (^y.y))((a a) a))((a (^y.y))((a a) a)))((a (^y.y))((a a) a))) 4. ==[ alpha ]==> ((((a (^x.x))((a a) a))((a (^y.y))((a a) a)))((a (^z.z))((a a) a))) REDUCED to normal form. ------ 36424/2295018. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.(a z))) 3. ==[ eta ]==> ((((^x.x) a)(^y.(y y))) a) 4. ==[ beta ]==> ((a (^y.(y y))) a) 5. ==[ alpha ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 36425/2295216. ------ 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)) a)(^y.(y b))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.(x b))) REDUCED to normal form. ------ 36426/2295294. ------ 1. ==[ start ]==> ((^a.(a b))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x b))((a (a a))((^y.y) a))) 3. ==[ beta ]==> (((a (a a))((^y.y) a)) b) 4. ==[ alpha ]==> (((a (a a))((^x.x) a)) b) 5. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 36427/2295558. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 36428/2295729. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.((y y) y))) REDUCED to normal form. ------ 36429/2295864. ------ 1. ==[ start ]==> (((a b)(a a))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(a a))(^x.(^z.z))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 36430/2296152. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 36431/2296287. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 36432/2296503. ------ 1. ==[ start ]==> (((^a.b) c)(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(^z.(z z)))) 3. ==[ beta ]==> (b (^y.(^z.(z z)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 36433/2296512. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(y (y y)))) REDUCED to normal form. ------ 36434/2296563. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a (^z.z))(a (^x1.x1)))((a (^z.z))(a (^x1.x1))))(^y.y)) 4. ==[ alpha ]==> ((((a (^x.x))(a (^y.y)))((a (^z.z))(a (^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 36435/2296773. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.(^z.a))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.a))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.a))) REDUCED to normal form. ------ 36436/2296845. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^b.c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(^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. ------ 36437/2296854. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.z))) REDUCED to normal form. ------ 36438/2296962. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 36439/2297016. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 36440/2297043. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^b.(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(a a))) REDUCED to normal form. ------ 36441/2297079. ------ 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. ------ 36442/2297106. ------ 1. ==[ start ]==> (((a (^a.a))((^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. ------ 36443/2297118. ------ 1. ==[ start ]==> ((a a)((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a a)((a (^x.x))((^y.y)(a a)))) 3. ==[ beta ]==> ((a a)((a (^x.x))(a a))) REDUCED to normal form. ------ 36444/2297136. ------ 1. ==[ start ]==> (((^a.a) a)(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)(b (^y.(^z.z)))) 3. ==[ beta ]==> (a (b (^y.(^z.z)))) 4. ==[ alpha ]==> (a (b (^x.(^y.y)))) REDUCED to normal form. ------ 36445/2297145. ------ 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. ------ 36446/2297181. ------ 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. ------ 36447/2297208. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a)(a a))(^a.(^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. ------ 36448/2297217. ------ 1. ==[ start ]==> (((^a.a) b)((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((^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. ------ 36449/2297244. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z) a))) 5. ==[ beta ]==> ((^y.b)((^z.z) a)) 6. ==[ alpha ]==> ((^x.b)((^y.y) a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 36450/2297262. ------ 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 ]==> ((^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. ------ 36451/2297271. ------ 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. ------ 36452/2297289. ------ 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.(^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. ------ 36453/2297298. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.(^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)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 36454/2297325. ------ 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. ------ 36455/2297343. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^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. ------ 36456/2297352. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 36457/2297370. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 36458/2297406. ------ 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)((^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. ------ 36459/2297451. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(a a)) b)) 3. ==[ beta ]==> ((^y.a)(((^z.z)(a a)) b)) 4. ==[ alpha ]==> ((^x.a)(((^y.y)(a a)) b)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 36460/2297478. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b) c)) 3. ==[ beta ]==> ((^y.y)((a b) c)) 4. ==[ alpha ]==> ((^x.x)((a b) c)) 5. ==[ beta ]==> ((a b) c) REDUCED to normal form. ------ 36461/2297487. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.b)(^z.a))) 3. ==[ beta ]==> (((a (^x.x)) b) b) REDUCED to normal form. ------ 36462/2297541. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(^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. ------ 36463/2297595. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.b))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 36464/2297631. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(b ((^y.y)(a a)))) 3. ==[ beta ]==> (((a a) a)(b ((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a) a)(b ((^x.x)(a a)))) 5. ==[ beta ]==> (((a a) a)(b (a a))) REDUCED to normal form. ------ 36465/2297658. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 36466/2297685. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(a a))(a a))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))(a a))) 5. ==[ beta ]==> ((a (a a))((a a)(a a))) REDUCED to normal form. ------ 36467/2297712. ------ 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. ------ 36468/2297721. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.b) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.b) c)) 3. ==[ beta ]==> ((^y.(y y))((^z.b) c)) 4. ==[ alpha ]==> ((^x.(x x))((^y.b) c)) 5. ==[ beta ]==> (((^y.b) c)((^y.b) c)) 6. ==[ alpha ]==> (((^x.b) c)((^y.b) c)) 7. ==[ beta ]==> (b ((^y.b) c)) 8. ==[ alpha ]==> (b ((^x.b) c)) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 36469/2297748. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.a) d)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 36470/2297865. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(b (^z.(a a)))) REDUCED to normal form. ------ 36471/2297910. ------ 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)(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. ------ 36472/2297919. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(a a))(a a))) 3. ==[ beta ]==> (((a (a a))(^x.x))(a a)) REDUCED to normal form. ------ 36473/2297937. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 36474/2298027. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b b)((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b b)((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b b)(((^y.y)(^z.z))((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((b b)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((b b)((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((b b)((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> ((b b)((^y.y)(^z.z))) 10. ==[ alpha ]==> ((b b)((^x.x)(^y.y))) 11. ==[ beta ]==> ((b b)(^y.y)) 12. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 36475/2298072. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 36476/2298099. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 36477/2298153. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a b) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a b) b)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a b) b)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((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. ------ 36478/2298162. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a)) b) b) REDUCED to normal form. ------ 36479/2298216. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 36480/2298243. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 36481/2298270. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((a (^y.a))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 36482/2298297. ------ 1. ==[ start ]==> (((a (a a))(^a.(^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. ------ 36483/2298324. ------ 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. ------ 36484/2298360. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a b)(a a))) 3. ==[ beta ]==> (((a a)(^y.y))((a b)(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a b)(a a))) REDUCED to normal form. ------ 36485/2298387. ------ 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. ------ 36486/2298414. ------ 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)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^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)((^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. ------ 36487/2298441. ------ 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. ------ 36488/2298468. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^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)))) 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. ------ 36489/2298495. ------ 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. ------ 36490/2298585. ------ 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. ------ 36491/2298621. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.(^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. ------ 36492/2298648. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(x x))(a (a a)))) 3. ==[ beta ]==> ((((a a) a) a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 36493/2298666. ------ 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)))) 5. ==[ beta ]==> (((a a) a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 36494/2298702. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 36495/2298729. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.z)(a b))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.z)(a b))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(a b))) 5. ==[ beta ]==> ((a (^x.(x x)))(a b)) REDUCED to normal form. ------ 36496/2298747. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a b) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a b) a)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) 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)) 7. ==[ beta ]==> ((a a)((a b) a)) REDUCED to normal form. ------ 36497/2298756. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.b)(^z.z))) 3. ==[ beta ]==> (((a (a a))(^x.a)) b) REDUCED to normal form. ------ 36498/2298810. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.(^a.a))(^b.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. ------ 36499/2298900. ------ 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. ------ 36500/2298927. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(a (a b))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(a (a b))) 3. ==[ beta ]==> (((a (a a)) a)(a (a b))) REDUCED to normal form. ------ 36501/2298954. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((a a) a)(a a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((a a) a)(a a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a) a)(a a))) 5. ==[ beta ]==> ((a (^y.y))(((a a) a)(a a))) 6. ==[ alpha ]==> ((a (^x.x))(((a a) a)(a a))) REDUCED to normal form. ------ 36502/2298981. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)(a (^y.y)))) 5. ==[ beta ]==> ((((a a) a)(a a))(a (^y.y))) 6. ==[ alpha ]==> ((((a a) a)(a a))(a (^x.x))) REDUCED to normal form. ------ 36503/2299008. ------ 1. ==[ start ]==> ((a (a b))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (a b))((a (a a))((^x.x) a))) 3. ==[ beta ]==> ((a (a b))((a (a a)) a)) REDUCED to normal form. ------ 36504/2299161. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.(^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. ------ 36505/2299179. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a (a a))(^z.a))) 3. ==[ beta ]==> (b ((a (a a))(^z.a))) 4. ==[ alpha ]==> (b ((a (a a))(^x.a))) REDUCED to normal form. ------ 36506/2299188. ------ 1. ==[ start ]==> (((a b) a)((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b) a)((^x.(x x))((^y.y) a))) 3. ==[ beta ]==> (((a b) a)(((^y.y) a)((^y.y) a))) 4. ==[ alpha ]==> (((a b) a)(((^x.x) 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. ------ 36507/2299206. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 36508/2299215. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.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. ------ 36509/2299233. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((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. ------ 36510/2299269. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 36511/2299287. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.(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. ------ 36512/2299323. ------ 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))(^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. ------ 36513/2299350. ------ 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. ------ 36514/2299377. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 36515/2299413. ------ 1. ==[ start ]==> (((a a)(a b))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(b ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a a)(a b))(b (^y.y))) 4. ==[ alpha ]==> (((a a)(a b))(b (^x.x))) REDUCED to normal form. ------ 36516/2299440. ------ 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. ------ 36517/2299467. ------ 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 (^y.y))(((^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. ------ 36518/2299494. ------ 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. ------ 36519/2299521. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1) a)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1) a)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z) a)((^x1.x1) a))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> (a (((^y.y) a)((^z.z) a))) 8. ==[ alpha ]==> (a (((^x.x) 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. ------ 36520/2299548. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 36521/2299566. ------ 1. ==[ start ]==> (((^a.b) b)(b (^b.(^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. ------ 36522/2299575. ------ 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. ------ 36523/2299611. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 36524/2299638. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (a a))(^a.(^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. ------ 36525/2299692. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.(z1 z1)))) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.(z1 z1)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(z z)))) 7. ==[ beta ]==> ((a (^y.y))(^z.(z z))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 36526/2299773. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 36527/2299782. ------ 1. ==[ start ]==> (((a b) b)((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) b)((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b) b)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b) b)(^y.y)) 6. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 36528/2299809. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a) a)((^y.a)(^z.a))) 4. ==[ alpha ]==> (((a a) a)((^x.a)(^y.a))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 36529/2299836. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 36530/2299863. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.x1))) REDUCED to normal form. ------ 36531/2299908. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(x1 x1)) b)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1)) b)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1)) b)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1)) b)) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1)) b)) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z)) b)) 9. ==[ beta ]==> ((^y.y)((^z.(z z)) b)) 10. ==[ alpha ]==> ((^x.x)((^y.(y y)) b)) 11. ==[ beta ]==> ((^y.(y y)) b) 12. ==[ alpha ]==> ((^x.(x x)) b) 13. ==[ beta ]==> (b b) REDUCED to normal form. ------ 36532/2299971. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(b (^y.(y y)))) REDUCED to normal form. ------ 36533/2299998. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 36534/2300025. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(z z))(a a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(a a))) 5. ==[ beta ]==> (((a a)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 36535/2300196. ------ 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) 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. ------ 36536/2300214. ------ 1. ==[ start ]==> (((^a.b) c)((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 36537/2300223. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(a (a (a a)))) REDUCED to normal form. ------ 36538/2300250. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((^y.y) a)(a a))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)(a a))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(a a))) 5. ==[ beta ]==> (((a a)(a a))(a (a a))) REDUCED to normal form. ------ 36539/2300277. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 36540/2300448. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (^z.z)) b)) 3. ==[ beta ]==> (b ((a (^z.z)) b)) 4. ==[ alpha ]==> (b ((a (^x.x)) b)) REDUCED to normal form. ------ 36541/2300457. ------ 1. ==[ start ]==> (((a b) c)((^a.(^a.a))(^a.(^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. ------ 36542/2300484. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 36543/2300529. ------ 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))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 36544/2300565. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(a (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a (^z.a))) REDUCED to normal form. ------ 36545/2300592. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(^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. ------ 36546/2300610. ------ 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. ------ 36547/2300646. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(^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. ------ 36548/2300673. ------ 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)))) 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. ------ 36549/2300691. ------ 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 ((^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. ------ 36550/2300700. ------ 1. ==[ start ]==> (((a b)(^b.a))(b (^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(b (^y.y))) REDUCED to normal form. ------ 36551/2300727. ------ 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)))) REDUCED to normal form. ------ 36552/2300754. ------ 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)(^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 36553/2300790. ------ 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. ------ 36554/2300817. ------ 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. ------ 36555/2304531. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a))) b) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a))) b) 3. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 36556/2304555. ------ 1. ==[ start ]==> ((^a.(^a.a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 36557/2304573. ------ 1. ==[ start ]==> ((^a.(a a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(b (^y.(^z.z)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 36558/2304681. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (((^z.b)((^x1.x1) a))(^y.y)) 4. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.z)) 5. ==[ beta ]==> (b (^z.z)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 36559/2304837. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 36560/2304846. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 36561/2305089. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 36562/2305491. ------ 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)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 36563/2305962. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^c.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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)) REDUCED to normal form. ------ 36564/2306358. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^b.(^a.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 36565/2306700. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^c.(^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. ------ 36566/2306823. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(c (a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(c (a (a a)))) 3. ==[ beta ]==> (^y.((c (a (a a)))(c (a (a a))))) 4. ==[ alpha ]==> (^x.((c (a (a a)))(c (a (a a))))) REDUCED to normal form. ------ 36567/2306871. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(^z.a))) REDUCED to normal form. ------ 36568/2307420. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^c.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(a (a a)))) 3. ==[ beta ]==> (b (^z.(a (a a)))) 4. ==[ alpha ]==> (b (^x.(a (a a)))) REDUCED to normal form. ------ 36569/2307546. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(^y.(a (a a)))) 3. ==[ beta ]==> ((a ((a a) a))(^y.(a (a a)))) 4. ==[ alpha ]==> ((a ((a a) a))(^x.(a (a a)))) REDUCED to normal form. ------ 36570/2307645. ------ 1. ==[ start ]==> (((^a.b) c)(^c.d)) 2. ==[ alpha ]==> (((^x.b) c)(^y.d)) 3. ==[ beta ]==> (b (^y.d)) 4. ==[ alpha ]==> (b (^x.d)) REDUCED to normal form. ------ 36571/2307654. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 36572/2307744. ------ 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 ]==> (^x.a) REDUCED to normal form. ------ 36573/2307915. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^c.c)) 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. ------ 36574/2307996. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^b.c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.c)) REDUCED to normal form. ------ 36575/2308122. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (b (^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(x (^y.y)))) REDUCED to normal form. ------ 36576/2308158. ------ 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)) REDUCED to normal form. ------ 36577/2308221. ------ 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. ------ 36578/2308248. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 36579/2308278. ------ 1. ==[ start ]==> ((a (^a.a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.x))((a (^y.y))(a a))) REDUCED to normal form. ------ 36580/2308296. ------ 1. ==[ start ]==> ((a (a a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 36581/2308305. ------ 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. ------ 36582/2308341. ------ 1. ==[ start ]==> (((a a)(^a.a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 36583/2308368. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 36584/2308377. ------ 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 a)) REDUCED to normal form. ------ 36585/2308395. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a b)(^b.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. ------ 36586/2308404. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.b)((^z.z) a))) 3. ==[ beta ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 36587/2308422. ------ 1. ==[ start ]==> (((a a) b)(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a) b)(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 36588/2308449. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 36589/2308503. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a (^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.b))) REDUCED to normal form. ------ 36590/2308539. ------ 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. ------ 36591/2308557. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((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. ------ 36592/2308566. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a a)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a a)(^y.y))) REDUCED to normal form. ------ 36593/2308638. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a b) c)) 2. ==[ alpha ]==> (((a (^x.x)) b)((a b) c)) REDUCED to normal form. ------ 36594/2308782. ------ 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) 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. ------ 36595/2308854. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(a a)) b)) 3. ==[ beta ]==> ((a a)((^y.(a a)) b)) 4. ==[ alpha ]==> ((a a)((^x.(a a)) b)) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 36596/2308872. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a b)(a (^z.z)))) 3. ==[ beta ]==> ((^y.(y y))((a b)(a (^z.z)))) 4. ==[ alpha ]==> ((^x.(x x))((a b)(a (^y.y)))) 5. ==[ beta ]==> (((a b)(a (^y.y)))((a b)(a (^y.y)))) 6. ==[ alpha ]==> (((a b)(a (^x.x)))((a b)(a (^y.y)))) REDUCED to normal form. ------ 36597/2308899. ------ 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) 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. ------ 36598/2308953. ------ 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 ]==> (((^y.y)(^y.y))((a (a a))((^z.z)(^x1.x1)))) 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. ------ 36599/2308980. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)((a a) a))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a)((a a) a))) 5. ==[ beta ]==> ((a (a a))(a ((a a) a))) REDUCED to normal form. ------ 36600/2309007. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 36601/2309070. ------ 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. ------ 36602/2309106. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.b)(a (^y.y)))) 3. ==[ beta ]==> (((a a)(a (a a))) b) REDUCED to normal form. ------ 36603/2309160. ------ 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. ------ 36604/2309178. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (a a))(^b.(^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. ------ 36605/2309187. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(x x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a a))(((^y.y)(^z.z))((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a a))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(a a))((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a (a a))(a a))((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a (a a))(a a))((^y.y)(^z.z))) 8. ==[ alpha ]==> (((a (a a))(a a))((^x.x)(^y.y))) 9. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 10. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 36606/2309214. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a)((a a) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)((a a) a))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 36607/2309313. ------ 1. ==[ start ]==> (((a (a a)) b)((a b) b)) REDUCED to normal form. ------ 36608/2309682. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 36609/2309772. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.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. ------ 36610/2309799. ------ 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. ------ 36611/2309853. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.a))) REDUCED to normal form. ------ 36612/2309880. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a a)(^z.b))) 3. ==[ beta ]==> ((a (^y.(y y)))((a a)(^z.b))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a a)(^y.b))) REDUCED to normal form. ------ 36613/2309907. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a b) a)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a b) a)) REDUCED to normal form. ------ 36614/2309934. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a) a) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a) a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a) b)) 5. ==[ beta ]==> ((^y.(^z.z))(((a a) a) b)) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a) a) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 36615/2309997. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(x x))(^y.(y y)))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.(y y))(^y.(y y)))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 36616/2310024. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.a)(^b.(^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. ------ 36617/2310078. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.y)(^z.b))) 3. ==[ beta ]==> (((a (a a)) a)((^y.y)(^z.b))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.x)(^y.b))) 5. ==[ beta ]==> (((a (a a)) a)(^y.b)) 6. ==[ alpha ]==> (((a (a a)) a)(^x.b)) REDUCED to normal form. ------ 36618/2310150. ------ 1. ==[ start ]==> (((^a.b) a)((^b.(^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. ------ 36619/2310168. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (a a))((^z.z) a))) 3. ==[ beta ]==> ((^y.b)((a (a a))((^z.z) a))) 4. ==[ alpha ]==> ((^x.b)((a (a a))((^y.y) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 36620/2310249. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a)((a a) a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a a)((a a) a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a)((a a) a))) IRREDUCIBLE: cycle. ------ 36621/2310312. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) b)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a) b)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a) a) b)(^y.(^z.z))) 6. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.y))) REDUCED to normal form. ------ 36622/2310339. ------ 1. ==[ start ]==> (((a b) a)((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a b) a)((a (a a))(^x.a))) REDUCED to normal form. ------ 36623/2310366. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.b))(a (^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.b))(a (^y.(y y)))) REDUCED to normal form. ------ 36624/2310420. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a a)(^x1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 36625/2310447. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((a a) a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((a a) a) a)) REDUCED to normal form. ------ 36626/2310474. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1)(^y1.y1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1)) b)) 5. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1)) b)) 6. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z)) b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 36627/2310546. ------ 1. ==[ start ]==> ((a (^b.(a a)))(c (a (a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(c (a (a a)))) REDUCED to normal form. ------ 36628/2310564. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 36629/2310726. ------ 1. ==[ start ]==> (((a b)(a a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 36630/2310843. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(c d)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(c d)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(c d)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c d)) 5. ==[ beta ]==> ((^y.y)(c d)) 6. ==[ alpha ]==> ((^x.x)(c d)) 7. ==[ beta ]==> (c d) REDUCED to normal form. ------ 36631/2310933. ------ 1. ==[ start ]==> (((a b) b)((a (a a)) b)) REDUCED to normal form. ------ 36632/2311005. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a 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. ------ 36633/2311059. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a (a a))(a a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a (a a))(a a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (a a))(a a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (a a))(a a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (a a))(a a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))(a a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(a a))) 9. ==[ beta ]==> ((^y.y)((a (a a))(a a))) 10. ==[ alpha ]==> ((^x.x)((a (a a))(a a))) 11. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 36634/2311068. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 36635/2311095. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.a) c)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.a) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a) c)) 5. ==[ beta ]==> ((^y.(y y))((^z.a) c)) 6. ==[ alpha ]==> ((^x.(x x))((^y.a) c)) 7. ==[ beta ]==> (((^y.a) c)((^y.a) c)) 8. ==[ alpha ]==> (((^x.a) c)((^y.a) c)) 9. ==[ beta ]==> (a ((^y.a) c)) 10. ==[ alpha ]==> (a ((^x.a) c)) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 36636/2311140. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a a)(a (a a)))) 3. ==[ beta ]==> (b ((a a)(a (a a)))) REDUCED to normal form. ------ 36637/2311176. ------ 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. ------ 36638/2311212. ------ 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)))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 36639/2311239. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 36640/2311266. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.y)(a (a a)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.y)(a (a a)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.x)(a (a a)))) 5. ==[ beta ]==> ((a ((a a) a))(a (a a))) REDUCED to normal form. ------ 36641/2311293. ------ 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))) 5. ==[ beta ]==> (((a (a a))(^x.x))((^z.z)(^z.z))) 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. ------ 36642/2311320. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))((^y.a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))((^x.a)(^y.(^z.z)))) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 36643/2311347. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(^z.z))(^x1.a))) 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. ------ 36644/2311365. ------ 1. ==[ start ]==> (((^a.b) c)((a a) d)) 2. ==[ alpha ]==> (((^x.b) c)((a a) d)) 3. ==[ beta ]==> (b ((a a) d)) REDUCED to normal form. ------ 36645/2311374. ------ 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 (^x.x)))(^z.(z z))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(y y))) REDUCED to normal form. ------ 36646/2311464. ------ 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)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 36647/2311599. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(c (a a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(c (a a))) 3. ==[ beta ]==> (b (c (a a))) REDUCED to normal form. ------ 36648/2311608. ------ 1. ==[ start ]==> (((a b) c)((a (^a.a)) b)) 2. ==[ alpha ]==> (((a b) c)((a (^x.x)) b)) REDUCED to normal form. ------ 36649/2311635. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a a) c)) 3. ==[ beta ]==> (((a a) b)((a a) c)) REDUCED to normal form. ------ 36650/2311662. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a) a)) 3. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 36651/2311680. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (^z.z))(a a))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(a a))) REDUCED to normal form. ------ 36652/2311707. ------ 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. ------ 36653/2311716. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.a) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) c) REDUCED to normal form. ------ 36654/2311743. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.b))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.b))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 36655/2311761. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(b b)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(b b)) 3. ==[ beta ]==> ((((a a) a)((a a) a))(b b)) REDUCED to normal form. ------ 36656/2311797. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.y1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1)) a)) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1)) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 36657/2311824. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a a) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a a) b)) REDUCED to normal form. ------ 36658/2311842. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(a (a (^z.z)))) 3. ==[ beta ]==> (b (a (a (^z.z)))) 4. ==[ alpha ]==> (b (a (a (^x.x)))) REDUCED to normal form. ------ 36659/2311851. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 36660/2311878. ------ 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)(^x.(^y.y))) b) REDUCED to normal form. ------ 36661/2311905. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a a)(^z.z))) REDUCED to normal form. ------ 36662/2311941. ------ 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. ------ 36663/2311968. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(a (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(a (^z.z))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a (^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(a (^y.y))) REDUCED to normal form. ------ 36664/2315850. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a b)(^b.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. ------ 36665/2315967. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.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. ------ 36666/2316039. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((a a)(^z.z)) a)) 3. ==[ eta ]==> ((^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. ------ 36667/2316210. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.a)(^x1.b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 36668/2316309. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(a a)) b)) 3. ==[ beta ]==> (((^y.(a a)) b)(((^y.(a a)) b)((^y.(a a)) b))) 4. ==[ alpha ]==> (((^x.(a a)) b)(((^y.(a a)) b)((^z.(a a)) b))) 5. ==[ beta ]==> ((a a)(((^y.(a a)) b)((^z.(a a)) b))) 6. ==[ alpha ]==> ((a a)(((^x.(a a)) b)((^y.(a a)) b))) 7. ==[ beta ]==> ((a a)((a a)((^y.(a a)) b))) 8. ==[ alpha ]==> ((a a)((a a)((^x.(a a)) b))) 9. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 36669/2316534. ------ 1. ==[ start ]==> ((^a.(^b.(^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. ------ 36670/2317347. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.(a z))) 3. ==[ eta ]==> (((^x.(x x))((^y.y) a)) a) 4. ==[ beta ]==> ((((^y.y) a)((^y.y) a)) a) 5. ==[ alpha ]==> ((((^x.x) a)((^y.y) a)) a) 6. ==[ beta ]==> ((a ((^y.y) a)) a) 7. ==[ alpha ]==> ((a ((^x.x) a)) a) 8. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 36671/2317425. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.(^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. ------ 36672/2317605. ------ 1. ==[ start ]==> ((^a.(a b))((^b.(^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. ------ 36673/2317887. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(^y.((a a) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.((a a) a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.((a a) a))) REDUCED to normal form. ------ 36674/2317992. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.(((^z.a)(^x1.(x1 x1)))((^z.a)(^x1.(x1 x1))))) 4. ==[ alpha ]==> (^x.(((^y.a)(^z.(z z)))((^x1.a)(^y1.(y1 y1))))) 5. ==[ beta ]==> (^x.(a ((^x1.a)(^y1.(y1 y1))))) 6. ==[ alpha ]==> (^x.(a ((^y.a)(^z.(z z))))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 36675/2318211. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^a.(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.z))) 3. ==[ beta ]==> ((^y.(a a))(^z.(^x1.z))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(^z.y))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 36676/2318598. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^c.(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(a (a a)))) REDUCED to normal form. ------ 36677/2318814. ------ 1. ==[ start ]==> (((^a.b) c)(^d.((^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 (^x.a)) REDUCED to normal form. ------ 36678/2318823. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^c.d)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.d)) REDUCED to normal form. ------ 36679/2318874. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.a) b)) 3. ==[ beta ]==> ((((^z.a) b)((^z.a) b))(^y.y)) 4. ==[ alpha ]==> ((((^x.a) b)((^y.a) b))(^z.z)) 5. ==[ beta ]==> ((a ((^y.a) b))(^z.z)) 6. ==[ alpha ]==> ((a ((^x.a) b))(^y.y)) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 36680/2319111. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.((^z.z) y))) 3. ==[ eta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 36681/2319165. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 36682/2319246. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^a.c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.c)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.c)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.c)) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.c)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.c)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 36683/2319291. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^b.(^a.(^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. ------ 36684/2319300. ------ 1. ==[ start ]==> (((a b)(^b.a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(y (^z.z)))) REDUCED to normal form. ------ 36685/2319417. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^b.a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.a)) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.a)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.a)) REDUCED to normal form. ------ 36686/2319465. ------ 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 (^x.x))(a a))) REDUCED to normal form. ------ 36687/2319483. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 36688/2319492. ------ 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. ------ 36689/2319555. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 36690/2319582. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a b)(^y.a))) REDUCED to normal form. ------ 36691/2319591. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 36692/2319645. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 36693/2319672. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a 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. ------ 36694/2319699. ------ 1. ==[ start ]==> ((a (^b.a))((^b.a)(a b))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)(a b))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 36695/2319717. ------ 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. ------ 36696/2319771. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((a ((^x.x) 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. ------ 36697/2319780. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.(^a.a))(^a.a))) 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. ------ 36698/2319807. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))(^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. ------ 36699/2319888. ------ 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.(^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. ------ 36700/2319942. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)(^z.b))) 3. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 36701/2320032. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(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. ------ 36702/2320041. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(a a)) b)) 3. ==[ beta ]==> ((a (a (a a)))(a a)) REDUCED to normal form. ------ 36703/2320113. ------ 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. ------ 36704/2320140. ------ 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. ------ 36705/2320167. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a ((a a) a))) REDUCED to normal form. ------ 36706/2320194. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (^z.z))(a b))) REDUCED to normal form. ------ 36707/2320221. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 36708/2320266. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(a a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 36709/2320284. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 36710/2320311. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((a a) a)(^z.a))) 3. ==[ beta ]==> (((a (^x.x)) a)(((a a) a)(^z.a))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((a a) a)(^y.a))) REDUCED to normal form. ------ 36711/2320338. ------ 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. ------ 36712/2320365. ------ 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. ------ 36713/2320401. ------ 1. ==[ start ]==> (((^a.a)(^b.(^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. ------ 36714/2320428. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(^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. ------ 36715/2320482. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(a a))(^y1.y1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))(^z1.z1))) 5. ==[ beta ]==> ((^y.y)((^y1.(a a))(^z1.z1))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.z))) 7. ==[ beta ]==> ((^y.(a a))(^z.z)) 8. ==[ alpha ]==> ((^x.(a a))(^y.y)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 36716/2320563. ------ 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))(^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. ------ 36717/2320617. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 36718/2320653. ------ 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. ------ 36719/2320689. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(a a)) a)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(a a)) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a)) a)) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 36720/2320716. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.b) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.b) b)) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) b) REDUCED to normal form. ------ 36721/2320860. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (^y1.b))) 3. ==[ beta ]==> ((^y.y)(b (^y1.b))) 4. ==[ alpha ]==> ((^x.x)(b (^y.b))) 5. ==[ beta ]==> (b (^y.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 36722/2320914. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.b)(a a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.b)(a a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.b)(a a))) 5. ==[ beta ]==> (a ((^z.b)(a a))) 6. ==[ alpha ]==> (a ((^x.b)(a a))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 36723/2320995. ------ 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. ------ 36724/2321022. ------ 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)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.a)((^z1.z1)(^x2.x2)))) 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. ------ 36725/2321076. ------ 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 ]==> ((((^y.y) a)((^y.y) a))((^z.z)(a b))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)(a b))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.z)(a b))) 6. ==[ alpha ]==> ((a ((^x.x) 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. ------ 36726/2321157. ------ 1. ==[ start ]==> ((a (^a.b))((^b.(^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. ------ 36727/2321283. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.b) a)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.b) a)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.b) a)) 5. ==[ beta ]==> ((a (^y.y))((^z.b) a)) 6. ==[ alpha ]==> ((a (^x.x))((^y.b) a)) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 36728/2321328. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 36729/2321337. ------ 1. ==[ start ]==> ((a (a b))((^b.(^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. ------ 36730/2321427. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b (^z.a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(b (^z.a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b (^z.a))) IRREDUCIBLE: cycle. ------ 36731/2321508. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (b ((^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. ------ 36732/2321535. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 36733/2321562. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (a a)))) 5. ==[ beta ]==> ((^y.a)(a (a a))) 6. ==[ alpha ]==> ((^x.a)(a (a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 36734/2321616. ------ 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. ------ 36735/2321697. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.a))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.a))) 5. ==[ beta ]==> (b ((^y.a)(^y.a))) 6. ==[ alpha ]==> (b ((^x.a)(^y.a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 36736/2321724. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 36737/2321823. ------ 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. ------ 36738/2321895. ------ 1. ==[ start ]==> (((^a.b) b)((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b) b)((a (^y.y))(a (a a)))) 3. ==[ beta ]==> (b ((a (^y.y))(a (a a)))) 4. ==[ alpha ]==> (b ((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 36739/2321940. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(a (^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(a (^z.a))) 3. ==[ beta ]==> ((^y.(a a))(a (^z.a))) 4. ==[ alpha ]==> ((^x.(a a))(a (^y.a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 36740/2321967. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.(^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. ------ 36741/2322021. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)((^z1.z1) a))) 5. ==[ beta ]==> ((^y.y)((^y1.a)((^z1.z1) a))) 6. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) a))) 7. ==[ beta ]==> ((^y.a)((^z.z) a)) 8. ==[ alpha ]==> ((^x.a)((^y.y) a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 36742/2322102. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 36743/2322156. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a a)((^y.a)(^z.a))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.a))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 36744/2322165. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(c ((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(c ((^y.y) a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(c a)) REDUCED to normal form. ------ 36745/2322183. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a 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. ------ 36746/2322192. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(b (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(b (a (a a)))) REDUCED to normal form. ------ 36747/2322246. ------ 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. ------ 36748/2322273. ------ 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. ------ 36749/2322300. ------ 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 (^y.y)) a)) REDUCED to normal form. ------ 36750/2322318. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(b (^z.(z z)))) 3. ==[ beta ]==> (b (b (^z.(z z)))) 4. ==[ alpha ]==> (b (b (^x.(x x)))) REDUCED to normal form. ------ 36751/2322327. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(a (a a)))) REDUCED to normal form. ------ 36752/2322390. ------ 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)))) 5. ==[ beta ]==> (((a a)(a a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> (((a a)(a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 36753/2322417. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 36754/2322444. ------ 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. ------ 36755/2322471. ------ 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. ------ 36756/2322498. ------ 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. ------ 36757/2322543. ------ 1. ==[ start ]==> (((^a.b) c)(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) c)(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. ------ 36758/2322579. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(y y)) a)) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y)) a)) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x)) a)) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 36759/2322606. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.a) b)) 3. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 36760/2322642. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(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. ------ 36761/2322777. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 36762/2322786. ------ 1. ==[ start ]==> (((a b) c)(c (a a))) REDUCED to normal form. ------ 36763/2322813. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 36764/2322840. ------ 1. ==[ start ]==> ((((a a)(^a.a)) 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. ------ 36765/2322885. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(b (^a.(^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. ------ 36766/2322894. ------ 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. ------ 36767/2322921. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(c a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(c a)) 3. ==[ beta ]==> ((a (^y.b))(c a)) 4. ==[ alpha ]==> ((a (^x.b))(c a)) REDUCED to normal form. ------ 36768/2322939. ------ 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) 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))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 36769/2322975. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(a c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(a c)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(a c)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a c)) 5. ==[ beta ]==> ((^y.(^z.z))(a c)) 6. ==[ alpha ]==> ((^x.(^y.y))(a c)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 36770/2323002. ------ 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. ------ 36771/2323020. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.a)(^a.(^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. ------ 36772/2323029. ------ 1. ==[ start ]==> (((a b)(^b.a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(a (a (^y.y)))) REDUCED to normal form. ------ 36773/2323056. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a a)(a a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a a)(a a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 36774/2323083. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(b a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b a)) REDUCED to normal form. ------ 36775/2323119. ------ 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. ------ 36776/2323146. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.a) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.z) a)) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.z) a)) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y) a)) 5. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 36777/2323172. ------ 1. ==[ start ]==> (^a.(((^a.a) a)(a b))) 2. ==[ alpha ]==> (^x.(((^y.y) x)(x b))) 3. ==[ beta ]==> (^x.(x (x b))) REDUCED to normal form. ------ 36778/2323173. ------ 1. ==[ start ]==> (a (((^a.a) a)(a b))) 2. ==[ alpha ]==> (a (((^x.x) a)(a b))) 3. ==[ beta ]==> (a (a (a b))) REDUCED to normal form. ------ 36779/2323230. ------ 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. ------ 36780/2326905. ------ 1. ==[ start ]==> ((((^a.a) a)(a b)) a) 2. ==[ alpha ]==> ((((^x.x) a)(a b)) a) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 36781/2326911. ------ 1. ==[ start ]==> ((^a.a)(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((^x.x)(((^y.y) 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. ------ 36782/2326938. ------ 1. ==[ start ]==> ((^a.(a a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^y.y))((^z.z)(a a)))((a (^y.y))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a (^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a a))((a (^z.z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))((^z.z)(a a)))) 7. ==[ beta ]==> (((a (^x.x))(a a))((a (^y.y))(a a))) REDUCED to normal form. ------ 36783/2326965. ------ 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. ------ 36784/2326968. ------ 1. ==[ start ]==> ((a b)(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a b)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 36785/2327001. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 36786/2327163. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (^y.(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> (^x.(((^y.y) a)(^z.b))) 5. ==[ beta ]==> (^x.(a (^z.b))) 6. ==[ alpha ]==> (^x.(a (^y.b))) REDUCED to normal form. ------ 36787/2327481. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.((y y)(^z.z)))) 3. ==[ beta ]==> ((a (a a))(^y.((y y)(^z.z)))) 4. ==[ alpha ]==> ((a (a a))(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 36788/2327505. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> ((((^y.y)(a a))(a a))((((^y.y)(a a))(a a))(((^y.y)(a a))(a a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))(a a))((((^y.y)(a a))(a a))(((^z.z)(a a))(a a)))) 5. ==[ beta ]==> (((a a)(a a))((((^y.y)(a a))(a a))(((^z.z)(a a))(a a)))) 6. ==[ alpha ]==> (((a a)(a a))((((^x.x)(a a))(a a))(((^y.y)(a a))(a a)))) 7. ==[ beta ]==> (((a a)(a a))(((a a)(a a))(((^y.y)(a a))(a a)))) 8. ==[ alpha ]==> (((a a)(a a))(((a a)(a a))(((^x.x)(a a))(a a)))) 9. ==[ beta ]==> (((a a)(a a))(((a a)(a a))((a a)(a a)))) REDUCED to normal form. ------ 36789/2327730. ------ 1. ==[ start ]==> ((^a.(^b.(^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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 36790/2328156. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.((^z.z)(y y)))) 5. ==[ beta ]==> (((a a)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 36791/2328288. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((((^y.y) a)((^z.z)(^x1.x1)))(((^y.y) a)((^z.z)(^x1.x1))))(((^y.y) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1))))(((^x2.x2) a)((^y2.y2)(^z2.z2)))) 5. ==[ beta ]==> (((a ((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1))))(((^x2.x2) a)((^y2.y2)(^z2.z2)))) 6. ==[ alpha ]==> (((a ((^x.x)(^y.y)))(((^z.z) a)((^x1.x1)(^y1.y1))))(((^z1.z1) a)((^x2.x2)(^y2.y2)))) 7. ==[ beta ]==> (((a (^y.y))(((^z.z) a)((^x1.x1)(^y1.y1))))(((^z1.z1) a)((^x2.x2)(^y2.y2)))) 8. ==[ alpha ]==> (((a (^x.x))(((^y.y) a)((^z.z)(^x1.x1))))(((^y1.y1) a)((^z1.z1)(^x2.x2)))) 9. ==[ beta ]==> (((a (^x.x))(a ((^z.z)(^x1.x1))))(((^y1.y1) a)((^z1.z1)(^x2.x2)))) 10. ==[ alpha ]==> (((a (^x.x))(a ((^y.y)(^z.z))))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 11. ==[ beta ]==> (((a (^x.x))(a (^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 12. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 13. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a ((^x1.x1)(^y1.y1)))) 14. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a ((^z.z)(^x1.x1)))) 15. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (^x1.x1))) 16. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.z))) REDUCED to normal form. ------ 36792/2328552. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^b.(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(a y))) 3. ==[ eta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 36793/2328621. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 36794/2328750. ------ 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))) REDUCED to normal form. ------ 36795/2328801. ------ 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 ]==> ((((^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) REDUCED to normal form. ------ 36796/2329092. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.((a a) a))) REDUCED to normal form. ------ 36797/2329263. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(^x1.((x1 x1) x1))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(^x1.((x1 x1) x1))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.((z z) z))) 5. ==[ beta ]==> ((a (^y.y))(^z.((z z) z))) 6. ==[ alpha ]==> ((a (^x.x))(^y.((y y) y))) REDUCED to normal form. ------ 36798/2329395. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a)((^z.z)(^x1.x1)))((a a)((^z.z)(^x1.x1))))) 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)(^y.y))((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. ------ 36799/2329821. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^a.(^b.(^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. ------ 36800/2330046. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(^y.(y (y y)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(y (y y)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(x (x x)))) REDUCED to normal form. ------ 36801/2330070. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z) a)(a a))) 3. ==[ beta ]==> (((((^z.z) a)(a a))(((^z.z) a)(a a)))(^y.y)) 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. ------ 36802/2330307. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^b.(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.a))) REDUCED to normal form. ------ 36803/2330388. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(^x1.z))) 3. ==[ beta ]==> ((a (^y.b))(^z.(^x1.z))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.y))) REDUCED to normal form. ------ 36804/2330442. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 36805/2330487. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^c.b)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.b)) 3. ==[ beta ]==> (b (^z.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 36806/2330496. ------ 1. ==[ start ]==> (((a b)(^b.a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 36807/2330550. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 36808/2330586. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^a.b)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.b)) REDUCED to normal form. ------ 36809/2330613. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^a.(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.(z z))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.(z z))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(y y))) REDUCED to normal form. ------ 36810/2330640. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^a.a)) 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. ------ 36811/2330652. ------ 1. ==[ start ]==> ((a a)(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((a a)(((^x.x) a)(a b))) 3. ==[ beta ]==> ((a a)(a (a b))) REDUCED to normal form. ------ 36812/2330679. ------ 1. ==[ start ]==> ((a (a a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a a))((a (^x.x))((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a a))((a (^x.x))(a a))) REDUCED to normal form. ------ 36813/2330697. ------ 1. ==[ start ]==> (((a a) a)(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 36814/2330706. ------ 1. ==[ start ]==> ((a b)((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a b)((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 36815/2330742. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 36816/2330751. ------ 1. ==[ start ]==> (((^a.a) b)((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(a a))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 36817/2330778. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> ((^y.(a a))(a (^z.z))) 6. ==[ alpha ]==> ((^x.(a a))(a (^y.y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 36818/2330796. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a b)(^b.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. ------ 36819/2330805. ------ 1. ==[ start ]==> (((a a) b)((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a a) b)((^x.b)((^y.y) a))) 3. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 36820/2330823. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((a a) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(y y)))) 5. ==[ beta ]==> (((a a) a)(^y.(y y))) 6. ==[ alpha ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 36821/2330850. ------ 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.(^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 (^x.x))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 36822/2330859. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 36823/2330886. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(((a a) a)((a a) a))) REDUCED to normal form. ------ 36824/2330904. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> ((a (^x.a))(a (^z.b))) 4. ==[ alpha ]==> ((a (^x.a))(a (^y.b))) REDUCED to normal form. ------ 36825/2330940. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 36826/2330985. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((a a)(^z.z)) a)) 3. ==[ beta ]==> ((^y.a)(((a a)(^z.z)) a)) 4. ==[ alpha ]==> ((^x.a)(((a a)(^y.y)) a)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 36827/2331012. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a)) b)) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a)) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a)) b)) 5. ==[ beta ]==> (((^y.y)(a a)) b) 6. ==[ alpha ]==> (((^x.x)(a a)) b) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 36828/2331021. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(a a)) REDUCED to normal form. ------ 36829/2331048. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.b)(^b.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. ------ 36830/2331075. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 36831/2331102. ------ 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.(^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. ------ 36832/2331192. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(b (a a))) REDUCED to normal form. ------ 36833/2331219. ------ 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. ------ 36834/2331246. ------ 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. ------ 36835/2331255. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(a a)) b)) 3. ==[ beta ]==> ((^y.(y y))((^z.(a a)) b)) 4. ==[ alpha ]==> ((^x.(x x))((^y.(a a)) b)) 5. ==[ beta ]==> (((^y.(a a)) b)((^y.(a a)) b)) 6. ==[ alpha ]==> (((^x.(a a)) b)((^y.(a a)) b)) 7. ==[ beta ]==> ((a a)((^y.(a a)) b)) 8. ==[ alpha ]==> ((a a)((^x.(a a)) b)) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 36836/2331282. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 36837/2331399. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(c (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(c (^z.b))) REDUCED to normal form. ------ 36838/2331426. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b (^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b (^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.(a a)))) REDUCED to normal form. ------ 36839/2331471. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 36840/2331561. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.(^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. ------ 36841/2331606. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^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. ------ 36842/2331633. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 36843/2331687. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(a a)) a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(a a)) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a)) a)) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(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. ------ 36844/2331696. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(a a))(^y.y))) 3. ==[ beta ]==> (((a (a a)) b)(a a)) REDUCED to normal form. ------ 36845/2331723. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (a ((^y.b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.b)(^y.(^z.z)))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 36846/2331750. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 36847/2331777. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 36848/2331804. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(a a))(^b.(^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. ------ 36849/2331831. ------ 1. ==[ start ]==> (((a (a a))(^a.(^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. ------ 36850/2331858. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.b))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 36851/2331894. ------ 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)(^y.y))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))(a (a a))) REDUCED to normal form. ------ 36852/2331921. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a b)(a a))) REDUCED to normal form. ------ 36853/2331948. ------ 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. ------ 36854/2331975. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.y)((^z.z) a))) 5. ==[ beta ]==> (((a (a a))(a (^x.x)))((^z.z) a)) 6. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.y) a)) 7. ==[ beta ]==> (((a (a a))(a (^x.x))) a) REDUCED to normal form. ------ 36855/2332002. ------ 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. ------ 36856/2332029. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x) 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. ------ 36857/2332119. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a b)(^z.z))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a b)(^z.z))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a b)(^z.z))) 5. ==[ beta ]==> (a ((a b)(^z.z))) 6. ==[ alpha ]==> (a ((a b)(^x.x))) REDUCED to normal form. ------ 36858/2332155. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)(a (^z.z)))) 5. ==[ beta ]==> (b ((^y.a)(a (^z.z)))) 6. ==[ alpha ]==> (b ((^x.a)(a (^y.y)))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 36859/2332182. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((((a a) a) a)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 36860/2332200. ------ 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. ------ 36861/2332227. ------ 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) 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. ------ 36862/2332236. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 36863/2332263. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 36864/2332281. ------ 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)((^y.y) a))((a a)(^z.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))) 7. ==[ beta ]==> ((a a)((a a)(^y.b))) 8. ==[ alpha ]==> ((a a)((a a)(^x.b))) REDUCED to normal form. ------ 36865/2332290. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.a)(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)(a b))) 3. ==[ beta ]==> (((a (a a))(^x.a))(a b)) REDUCED to normal form. ------ 36866/2332317. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.b)(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.b)(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 36867/2332362. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> ((a (^x.b))((^z.z) c)) 4. ==[ alpha ]==> ((a (^x.b))((^y.y) c)) 5. ==[ beta ]==> ((a (^x.b)) c) REDUCED to normal form. ------ 36868/2332461. ------ 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. ------ 36869/2332488. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(a (a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(a (a b))) 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))) REDUCED to normal form. ------ 36870/2332515. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((a a) a)(a a))) REDUCED to normal form. ------ 36871/2332542. ------ 1. ==[ start ]==> ((a (a b))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a b))(((^x.x)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((a (a b))((^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. ------ 36872/2332551. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.(^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. ------ 36873/2332695. ------ 1. ==[ start ]==> ((((a a) a) b)((^c.a)(a a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.a)(a a))) 3. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 36874/2332713. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (((^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. ------ 36875/2332722. ------ 1. ==[ start ]==> (((a b) a)((^b.(^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. ------ 36876/2332740. ------ 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. ------ 36877/2332749. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.b))(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.b))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.b))(a ((^z.z) a))) 6. ==[ alpha ]==> (((a a)(^x.b))(a ((^y.y) a))) 7. ==[ beta ]==> (((a a)(^x.b))(a a)) REDUCED to normal form. ------ 36878/2332767. ------ 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.(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. ------ 36879/2332803. ------ 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))((^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. ------ 36880/2332830. ------ 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. ------ 36881/2332857. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(^x1.x1))) 5. ==[ beta ]==> ((^y.a)((^z.a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)((^y.a)(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 36882/2332884. ------ 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. ------ 36883/2332902. ------ 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 a)) c)) REDUCED to normal form. ------ 36884/2332911. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a b)(^x.x))((^z.a)(^z.a))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 36885/2332947. ------ 1. ==[ start ]==> (((a a)(a b))(c (a (a a)))) REDUCED to normal form. ------ 36886/2332974. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(b (^z.z))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(b (^y.y))) REDUCED to normal form. ------ 36887/2333001. ------ 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 (^y.y))(a ((a a) a))) 6. ==[ alpha ]==> ((a (^x.x))(a ((a a) a))) REDUCED to normal form. ------ 36888/2333028. ------ 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. ------ 36889/2333055. ------ 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. ------ 36890/2333082. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a ((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(a ((^y.y) a))) 5. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 36891/2333100. ------ 1. ==[ start ]==> (((^a.b) b)(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)(c (^y.(y y)))) 3. ==[ beta ]==> (b (c (^y.(y y)))) 4. ==[ alpha ]==> (b (c (^x.(x x)))) REDUCED to normal form. ------ 36892/2333109. ------ 1. ==[ start ]==> (((a b)(a a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(a a))((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 36893/2333136. ------ 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)))) 5. ==[ beta ]==> ((a (a a))((a a)(^y.y))) 6. ==[ alpha ]==> ((a (a a))((a a)(^x.x))) REDUCED to normal form. ------ 36894/2333172. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(^z1.z1))) 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. ------ 36895/2333226. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.a))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.a))) 7. ==[ beta ]==> (((^y.y) a)(^z.a)) 8. ==[ alpha ]==> (((^x.x) a)(^y.a)) 9. ==[ beta ]==> (a (^y.a)) 10. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 36896/2333307. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(^y1.y1)) a)) 3. ==[ beta ]==> (b (((^x1.x1)(^y1.y1)) a)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) a)) 5. ==[ beta ]==> (b ((^y.y) a)) 6. ==[ alpha ]==> (b ((^x.x) a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 36897/2333316. ------ 1. ==[ start ]==> (((a b) b)((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 36898/2333343. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^y.(^z.z)))) 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. ------ 36899/2333370. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 36900/2333397. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 36901/2333442. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1)) a)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1)) a)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1)) a)) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1)) a)) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1)) a)) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 11. ==[ beta ]==> ((^y.(^z.z)) a) 12. ==[ alpha ]==> ((^x.(^y.y)) a) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 36902/2333505. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(c (^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(c (^y.a))) REDUCED to normal form. ------ 36903/2333532. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b (^z.(z z)))) REDUCED to normal form. ------ 36904/2333559. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(a (^b.(^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. ------ 36905/2333622. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(c c)) 2. ==[ alpha ]==> (((a (^x.x))(a b))(c c)) REDUCED to normal form. ------ 36906/2333748. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(^a.a))(^b.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. ------ 36907/2333757. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(b ((^y.y) a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(b a)) REDUCED to normal form. ------ 36908/2333784. ------ 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. ------ 36909/2333811. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y) a)(a a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(a (a a))) REDUCED to normal form. ------ 36910/2333847. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^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. ------ 36911/2333982. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 36912/2333991. ------ 1. ==[ start ]==> (((a b) c)((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a b) c)((^x.a)(^y.y))) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 36913/2334018. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(^a.a))(^a.(^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. ------ 36914/2334045. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(^z.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.a)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.a)) REDUCED to normal form. ------ 36915/2334063. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.a) a)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a) a)) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 36916/2334090. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 36917/2334099. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 36918/2334126. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(a (^z.a))) 3. ==[ beta ]==> ((a (^y.b))(a (^z.a))) 4. ==[ alpha ]==> ((a (^x.b))(a (^y.a))) REDUCED to normal form. ------ 36919/2334144. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a (^y.y))(^z.z))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a (^y.y))(^z.z))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 36920/2334180. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a (^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 36921/2334207. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 36922/2334225. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a a) b)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a a) b)) 3. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 36923/2334234. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 36924/2334261. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(b (^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(b (^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 36925/2334288. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 36926/2334324. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(a b)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(a b)) REDUCED to normal form. ------ 36927/2334351. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(a (a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(a (a a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a (a a))) REDUCED to normal form. ------ 36928/2334378. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(a a)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(a a)) 3. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 36929/2334714. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.((a a)(^x1.x1)))) 3. ==[ eta ]==> ((^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. ------ 36930/2338119. ------ 1. ==[ start ]==> ((((^a.a) a)(a b)) b) 2. ==[ alpha ]==> ((((^x.x) a)(a b)) b) 3. ==[ beta ]==> ((a (a b)) b) REDUCED to normal form. ------ 36931/2338143. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 36932/2338188. ------ 1. ==[ start ]==> ((^a.b)(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(b (^y.(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 36933/2338269. ------ 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 ]==> (((^z.(a a))(a (^x1.x1)))(^y.y)) 4. ==[ alpha ]==> (((^x.(a a))(a (^y.y)))(^z.z)) 5. ==[ beta ]==> ((a a)(^z.z)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 36934/2338458. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.z)((a a)(^x1.x1)))) 3. ==[ eta ]==> ((^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. ------ 36935/2338461. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.((a a)(^z.z)))) 3. ==[ beta ]==> ((a a)(^y.((a a)(^z.z)))) 4. ==[ alpha ]==> ((a a)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 36936/2338704. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 36937/2339079. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.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. ------ 36938/2339379. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(a a)))) REDUCED to normal form. ------ 36939/2339775. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^c.(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.b))) REDUCED to normal form. ------ 36940/2339973. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(^x1.(^y1.x1))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(^x1.z))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.z))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 36941/2340486. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(^x1.(^y1.a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(^x1.a))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.a))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 36942/2340618. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(b (^b.(^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. ------ 36943/2340630. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 36944/2340927. ------ 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.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.((^y1.y1)(^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((^x1.x1)(^y1.y1)))) 9. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(^y1.y1)))) 10. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 11. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 12. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 13. ==[ beta ]==> (^x.(^z.z)) 14. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 36945/2341161. ------ 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. ------ 36946/2341269. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(^y.(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 36947/2341548. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^a.((^a.a) a))) 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. ------ 36948/2341611. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^b.c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.c)) 3. ==[ beta ]==> ((a (^y.b))(^z.c)) 4. ==[ alpha ]==> ((a (^x.b))(^y.c)) REDUCED to normal form. ------ 36949/2341665. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 36950/2341719. ------ 1. ==[ start ]==> (((a b)(^b.a))(^c.b)) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.b)) REDUCED to normal form. ------ 36951/2341773. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^b.b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 36952/2341809. ------ 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. ------ 36953/2341836. ------ 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. ------ 36954/2341863. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.(^z.z))) 3. ==[ beta ]==> ((a (a b))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 36955/2341893. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(a b))) 3. ==[ beta ]==> ((a (^x.x))(a (a b))) REDUCED to normal form. ------ 36956/2341920. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(a a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(a a))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 36957/2341938. ------ 1. ==[ start ]==> ((a b)(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((a b)(b (^x.(^y.y)))) REDUCED to normal form. ------ 36958/2341947. ------ 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. ------ 36959/2341983. ------ 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. ------ 36960/2342010. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a)(a a))(^a.(^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. ------ 36961/2342019. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 36962/2342037. ------ 1. ==[ start ]==> (((a a) b)((a b)(^b.a))) 2. ==[ alpha ]==> (((a a) b)((a b)(^x.a))) REDUCED to normal form. ------ 36963/2342064. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 36964/2342091. ------ 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.(^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. ------ 36965/2342154. ------ 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. ------ 36966/2342172. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((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. ------ 36967/2342181. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(^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. ------ 36968/2342208. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) 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)))) 5. ==[ beta ]==> ((a a)((a a)(^y.y))) 6. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 36969/2342253. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(a a)) b)) 3. ==[ beta ]==> (((a (^x.x)) b)((a a) b)) REDUCED to normal form. ------ 36970/2342280. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a b) c)) 2. ==[ alpha ]==> ((((^x.x) a) a)((a b) c)) 3. ==[ beta ]==> ((a a)((a b) c)) REDUCED to normal form. ------ 36971/2342397. ------ 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) a)((^y.a)(^z.b))) 4. ==[ alpha ]==> (((a a) a)((^x.a)(^y.b))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 36972/2342424. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(^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. ------ 36973/2342487. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y)(a a))(a a))) 5. ==[ beta ]==> ((((^y.y)(a a))(a a))(((^y.y)(a a))(a a))) 6. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((^y.y)(a a))(a a))) 7. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))(a a))) 8. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))(a a))) 9. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 36974/2342514. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 36975/2342550. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.a) d)) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.a) d)) 3. ==[ beta ]==> ((a b)((^y.a) d)) 4. ==[ alpha ]==> ((a b)((^x.a) d)) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 36976/2342568. ------ 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 ]==> (((^y.y)(^y.y))(((^z.z)(^x1.x1))(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. ------ 36977/2342595. ------ 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. ------ 36978/2342622. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^x1.x1) a)((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 36979/2342676. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(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)))) 5. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 36980/2342721. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(a a))(a a))) 3. ==[ beta ]==> (((a a)(a (a a)))(a a)) REDUCED to normal form. ------ 36981/2342748. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.b)(a (^z.z)))) 5. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 36982/2342793. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b b)(((^y.y)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b b)(((^x.x)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((b b)((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> ((b b)((^x.x)(^y.(y y)))) 7. ==[ beta ]==> ((b b)(^y.(y y))) 8. ==[ alpha ]==> ((b b)(^x.(x x))) REDUCED to normal form. ------ 36983/2342802. ------ 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. ------ 36984/2342829. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 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. ------ 36985/2342928. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x)(a a)) a)) 3. ==[ beta ]==> (((a (a a)) b)((a a) a)) REDUCED to normal form. ------ 36986/2342955. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a b) b)) 3. ==[ beta ]==> (((^y.y) a)((a b) b)) 4. ==[ alpha ]==> (((^x.x) a)((a b) b)) 5. ==[ beta ]==> (a ((a b) b)) REDUCED to normal form. ------ 36987/2342982. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((a a) a) c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a) c)) REDUCED to normal form. ------ 36988/2343126. ------ 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)(^y.y))((^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. ------ 36989/2343297. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 36990/2343387. ------ 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. ------ 36991/2343414. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(^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. ------ 36992/2343468. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a) a)(^b.(^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. ------ 36993/2343522. ------ 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. ------ 36994/2343549. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a b) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a b) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b) a)) 5. ==[ beta ]==> ((^y.(^z.z))((a b) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((a b) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 36995/2343576. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((a a) a) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a) a) b)) REDUCED to normal form. ------ 36996/2343612. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 36997/2343639. ------ 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 x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(x1 x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.(x1 x1))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 36998/2343666. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 36999/2343720. ------ 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 (^x.x))(^z.b)) 8. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 37000/2343765. ------ 1. ==[ start ]==> (((^a.b) a)((^c.a) b)) 2. ==[ alpha ]==> (((^x.b) a)((^y.a) b)) 3. ==[ beta ]==> (b ((^y.a) b)) 4. ==[ alpha ]==> (b ((^x.a) b)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 37001/2343783. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.b)(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 37002/2343864. ------ 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))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.z))((^x1.x1)(^y1.y1)))) IRREDUCIBLE: cycle. ------ 37003/2343927. ------ 1. ==[ start ]==> ((((a a) a) b)(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a) b)(((a a) a)(^x.x))) REDUCED to normal form. ------ 37004/2343954. ------ 1. ==[ start ]==> (((a b) a)(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b) a)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a b) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a b) a)(^x.(^y.y))) REDUCED to normal form. ------ 37005/2343981. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (a a))(^y.a))) REDUCED to normal form. ------ 37006/2344035. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 37007/2344089. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((a a) a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((a a) a) a)) 3. ==[ beta ]==> (((^y.y)(^z.a))(((a a) a) a)) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((a a) a) a)) 5. ==[ beta ]==> ((^y.a)(((a a) a) a)) 6. ==[ alpha ]==> ((^x.a)(((a a) a) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 37008/2344116. ------ 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. ------ 37009/2344143. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (a a)) c)) 2. ==[ alpha ]==> (((a b)(^x.x))((a (a a)) c)) REDUCED to normal form. ------ 37010/2344179. ------ 1. ==[ start ]==> (((a a)(a b))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.a)(^y.(y y)))) 3. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 37011/2344206. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 37012/2344341. ------ 1. ==[ start ]==> (((a b)(a a))(c (^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))(c (^x.(x x)))) REDUCED to normal form. ------ 37013/2344368. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(b (^b.(^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. ------ 37014/2344377. ------ 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. ------ 37015/2344548. ------ 1. ==[ start ]==> (((a b) b)(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a b) b)(((^x.x)(^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. ------ 37016/2344575. ------ 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. ------ 37017/2344602. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a) a) c)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y) a) c)) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a c)) REDUCED to normal form. ------ 37018/2344620. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(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. ------ 37019/2344674. ------ 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.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(a ((^x1.x1)(^y1.y1)))) 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. ------ 37020/2344683. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 37021/2344710. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(x1 x1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(z z)) b)) 5. ==[ beta ]==> ((^y.(y y))((^z.(z z)) b)) 6. ==[ alpha ]==> ((^x.(x x))((^y.(y y)) b)) 7. ==[ beta ]==> (((^y.(y y)) b)((^y.(y y)) b)) 8. ==[ alpha ]==> (((^x.(x x)) b)((^y.(y y)) b)) 9. ==[ beta ]==> ((b b)((^y.(y y)) b)) 10. ==[ alpha ]==> ((b b)((^x.(x x)) b)) 11. ==[ beta ]==> ((b b)(b b)) REDUCED to normal form. ------ 37022/2344737. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.a) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.a) c)) 3. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 37023/2344755. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((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. ------ 37024/2344827. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(y y))(a a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))(a a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(a a))) 5. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 37025/2344854. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 37026/2344881. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a ((a a) a))(^y.y)) 6. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 37027/2344908. ------ 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. ------ 37028/2344935. ------ 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))) 7. ==[ beta ]==> ((a (a a))((^y.y)(^y.y))) 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. ------ 37029/2344962. ------ 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)))) 5. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 37030/2344980. ------ 1. ==[ start ]==> (((^a.b) c)((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.b) c)((a (^y.y)) c)) 3. ==[ beta ]==> (b ((a (^y.y)) c)) 4. ==[ alpha ]==> (b ((a (^x.x)) c)) REDUCED to normal form. ------ 37031/2344989. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(^a.a))(^b.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. ------ 37032/2345016. ------ 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)))) 5. ==[ beta ]==> (((a a)(a a))(^y.(y y))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(x x))) REDUCED to normal form. ------ 37033/2345079. ------ 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 (^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. ------ 37034/2345223. ------ 1. ==[ start ]==> (((a b) c)(((^a.a) a) a)) 2. ==[ alpha ]==> (((a b) c)(((^x.x) a) a)) 3. ==[ beta ]==> (((a b) c)(a a)) REDUCED to normal form. ------ 37035/2345250. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a (^y.y)) b)) 3. ==[ beta ]==> (((a a) b)((a (^y.y)) b)) 4. ==[ alpha ]==> (((a a) b)((a (^x.x)) b)) REDUCED to normal form. ------ 37036/2345295. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(a ((^z.z) a))) 3. ==[ beta ]==> (((a a)(^y.y))(a ((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 37037/2345322. ------ 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)((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. ------ 37038/2345331. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 37039/2345358. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.z) c)) 3. ==[ beta ]==> ((a (^y.b))((^z.z) c)) 4. ==[ alpha ]==> ((a (^x.b))((^y.y) c)) 5. ==[ beta ]==> ((a (^x.b)) c) REDUCED to normal form. ------ 37040/2345412. ------ 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.(^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. ------ 37041/2345439. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a (^y.y)) a)) REDUCED to normal form. ------ 37042/2345457. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(b (a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(b (a a))) 3. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 37043/2345466. ------ 1. ==[ start ]==> (((a b)(^b.a))((a a) b)) 2. ==[ alpha ]==> (((a b)(^x.a))((a a) b)) REDUCED to normal form. ------ 37044/2345493. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 37045/2345520. ------ 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))(^y.y)) b) REDUCED to normal form. ------ 37046/2345556. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.y)(a a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 37047/2345583. ------ 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. ------ 37048/2345610. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(a (^y.y))) 3. ==[ beta ]==> ((a (a b))(a (^y.y))) 4. ==[ alpha ]==> ((a (a b))(a (^x.x))) REDUCED to normal form. ------ 37049/2346450. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 37050/2349360. ------ 1. ==[ start ]==> ((((^a.a) a)(a b)) c) 2. ==[ alpha ]==> ((((^x.x) a)(a b)) c) 3. ==[ beta ]==> ((a (a b)) c) REDUCED to normal form. ------ 37051/2349519. ------ 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 ]==> ((((^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. ------ 37052/2349636. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(z z))((a a) a))) 3. ==[ beta ]==> (^y.((^z.(z z))((a a) a))) 4. ==[ alpha ]==> (^x.((^y.(y y))((a a) a))) 5. ==[ beta ]==> (^x.(((a a) a)((a a) a))) REDUCED to normal form. ------ 37053/2349720. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^b.((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. ------ 37054/2349972. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.((y y)(^z.z)))) 3. ==[ beta ]==> ((a a)(^y.((y y)(^z.z)))) 4. ==[ alpha ]==> ((a a)(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 37055/2350203. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(a (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 37056/2350206. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 37057/2350329. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (a a))(^b.(^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. ------ 37058/2350422. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^b.((^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 ]==> (^x.(a a)) REDUCED to normal form. ------ 37059/2350854. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(^x1.(z z)))) 5. ==[ beta ]==> (a (^z.(^x1.(z z)))) 6. ==[ alpha ]==> (a (^x.(^y.(x x)))) REDUCED to normal form. ------ 37060/2351094. ------ 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. ------ 37061/2351274. ------ 1. ==[ start ]==> ((^a.(a b))((^c.a) b)) 2. ==[ alpha ]==> ((^x.(x b))((^y.a) b)) 3. ==[ beta ]==> (((^y.a) b) b) 4. ==[ alpha ]==> (((^x.a) b) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 37062/2351661. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (^y.(((^z.(z z))(^x1.a))((^z.(z z))(^x1.a)))) 4. ==[ alpha ]==> (^x.(((^y.(y y))(^z.a))((^x1.(x1 x1))(^y1.a)))) 5. ==[ beta ]==> (^x.(((^z.a)(^z.a))((^x1.(x1 x1))(^y1.a)))) 6. ==[ alpha ]==> (^x.(((^y.a)(^z.a))((^x1.(x1 x1))(^y1.a)))) 7. ==[ beta ]==> (^x.(a ((^x1.(x1 x1))(^y1.a)))) 8. ==[ alpha ]==> (^x.(a ((^y.(y y))(^z.a)))) 9. ==[ beta ]==> (^x.(a ((^z.a)(^z.a)))) 10. ==[ alpha ]==> (^x.(a ((^y.a)(^z.a)))) 11. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 37063/2351907. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^a.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 37064/2352042. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^b.((^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. ------ 37065/2352177. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 10. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 11. ==[ beta ]==> (^y.(^z.(^x1.x1))) 12. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 37066/2352186. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 37067/2352543. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(z z)) a)) 3. ==[ beta ]==> ((((^z.(z z)) a)((^z.(z z)) a))(^y.y)) 4. ==[ alpha ]==> ((((^x.(x x)) a)((^y.(y y)) a))(^z.z)) 5. ==[ beta ]==> (((a a)((^y.(y y)) a))(^z.z)) 6. ==[ alpha ]==> (((a a)((^x.(x x)) a))(^y.y)) 7. ==[ beta ]==> (((a a)(a a))(^y.y)) 8. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 37068/2352717. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 37069/2352726. ------ 1. ==[ start ]==> (((a b) c)(^a.d)) 2. ==[ alpha ]==> (((a b) c)(^x.d)) REDUCED to normal form. ------ 37070/2352798. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 37071/2352861. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.b))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(a (^z.z)))) REDUCED to normal form. ------ 37072/2352879. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.(^z.y))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.(^z.y))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(^y.x))) REDUCED to normal form. ------ 37073/2352996. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 37074/2353113. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^b.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. ------ 37075/2353161. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(a b))) 3. ==[ beta ]==> (a (((^y.y) a)(a b))) 4. ==[ alpha ]==> (a (((^x.x) a)(a b))) 5. ==[ beta ]==> (a (a (a b))) REDUCED to normal form. ------ 37076/2353188. ------ 1. ==[ start ]==> (((a a) a)((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a) a)((a (^x.x))((^y.y)(a a)))) 3. ==[ beta ]==> (((a a) a)((a (^x.x))(a a))) REDUCED to normal form. ------ 37077/2353206. ------ 1. ==[ start ]==> (((^a.a)(a a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(b (^y.(^z.z)))) 3. ==[ beta ]==> ((a a)(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 37078/2353215. ------ 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. ------ 37079/2353251. ------ 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. ------ 37080/2353278. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^x.x)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 37081/2353287. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 37082/2353314. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^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. ------ 37083/2353368. ------ 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)(^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. ------ 37084/2353395. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(y y))((a a) a))) 3. ==[ beta ]==> ((a (^x.a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 37085/2353413. ------ 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. ------ 37086/2353440. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 37087/2353476. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.a)((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 37088/2353557. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.b)(^b.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. ------ 37089/2353728. ------ 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 a)(^y.y)))) 4. ==[ alpha ]==> ((a a)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 37090/2353809. ------ 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. ------ 37091/2353836. ------ 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)((^y.y)(a (a a)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.x)(a (a a)))) 5. ==[ beta ]==> (((a (a a)) a)(a (a a))) REDUCED to normal form. ------ 37092/2353863. ------ 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)(^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. ------ 37093/2353890. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a ((a a) a))) REDUCED to normal form. ------ 37094/2353917. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.x1))(a b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))(a b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(a b))) REDUCED to normal form. ------ 37095/2353935. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(b (^y.(a a)))) 3. ==[ beta ]==> (((a a)(a a))(b (^y.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))(b (^x.(a a)))) REDUCED to normal form. ------ 37096/2353944. ------ 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)))) 3. ==[ beta ]==> (((a (a a))(^x.x))((a a)(a a))) REDUCED to normal form. ------ 37097/2353962. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(a (^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 37098/2353980. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x)(a a))(^y.y))) 3. ==[ beta ]==> (((a a)(a (a a)))((a a)(^y.y))) 4. ==[ alpha ]==> (((a a)(a (a a)))((a a)(^x.x))) REDUCED to normal form. ------ 37099/2354007. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a b)(^a.(^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. ------ 37100/2354034. ------ 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. ------ 37101/2354061. ------ 1. ==[ start ]==> (((a (a a))(a a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(((^x.x)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.x)(^y.(y y)))) 5. ==[ beta ]==> (((a (a a))(a a))(^y.(y y))) 6. ==[ alpha ]==> (((a (a a))(a a))(^x.(x x))) REDUCED to normal form. ------ 37102/2354088. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (a a))(^b.(^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. ------ 37103/2354097. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 37104/2354124. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 37105/2354178. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)((^z1.z1)(a a)))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)((^z1.z1)(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. ------ 37106/2354232. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.b)(^a.(^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. ------ 37107/2354313. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 8. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 37108/2354412. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(a a)) a)) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(a a)) REDUCED to normal form. ------ 37109/2354439. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.b) b)) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.b) b)) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.b) b)) 5. ==[ beta ]==> ((a a)((^y.b) b)) 6. ==[ alpha ]==> ((a a)((^x.b) b)) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 37110/2354556. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(c (^c.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. ------ 37111/2354610. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(a (^z.(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(a (^z.(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(a (^z.(a a)))) 5. ==[ beta ]==> (a (a (^z.(a a)))) 6. ==[ alpha ]==> (a (a (^x.(a a)))) REDUCED to normal form. ------ 37112/2354691. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 37113/2354718. ------ 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 y1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (a a)))) 5. ==[ beta ]==> ((^y.(y y))(a (a a))) 6. ==[ alpha ]==> ((^x.(x x))(a (a a))) 7. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 37114/2354772. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))((a a) a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))((a a) a))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))((a a) a))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))((a a) a))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 37115/2354853. ------ 1. ==[ start ]==> ((a (^a.b))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 37116/2355006. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.b) a)) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.b) a)) 3. ==[ beta ]==> ((((a a) a)(a a)) b) REDUCED to normal form. ------ 37117/2355024. ------ 1. ==[ start ]==> (((^a.b) a)(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.b) a)(((a a) a)(a a))) 3. ==[ beta ]==> (b (((a a) a)(a a))) REDUCED to normal form. ------ 37118/2355033. ------ 1. ==[ start ]==> ((a (a b))((^c.a) b)) 2. ==[ alpha ]==> ((a (a b))((^x.a) b)) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 37119/2355204. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^c.a)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.a)(a a))) 3. ==[ beta ]==> (b ((^z.a)(a a))) 4. ==[ alpha ]==> (b ((^x.a)(a a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 37120/2355231. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.(^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. ------ 37121/2355258. ------ 1. ==[ start ]==> (((^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))) 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. ------ 37122/2355312. ------ 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)(^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. ------ 37123/2355393. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.(^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. ------ 37124/2355420. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((a (^x.(a a)))((^z.a)(^z.a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 37125/2355546. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.(^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)) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 37126/2355591. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (b (((^y.y) a)((^z.z) a))) 4. ==[ alpha ]==> (b (((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> (b (a ((^y.y) a))) 6. ==[ alpha ]==> (b (a ((^x.x) a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 37127/2355636. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(b (^b.(^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. ------ 37128/2355663. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(a (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 37129/2355717. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(a (^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(a (^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (^z.z)))) 7. ==[ beta ]==> ((^y.(y y))(a (^z.z))) 8. ==[ alpha ]==> ((^x.(x x))(a (^y.y))) 9. ==[ beta ]==> ((a (^y.y))(a (^y.y))) 10. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 37130/2355798. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 37131/2355852. ------ 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))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)((^y.(y y))(^z.(^x1.x1)))) 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. ------ 37132/2355879. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 37133/2355888. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(c ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(c ((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(c a)) REDUCED to normal form. ------ 37134/2355933. ------ 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 ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.y1)(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)(^z1.(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.y1)))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 11. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 12. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 13. ==[ beta ]==> (^y.(^z.z)) 14. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 37135/2355942. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 37136/2355969. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a (a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a (a a))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (a a))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (a a))(a a))) 5. ==[ beta ]==> ((^y.(y y))((a (a a))(a a))) 6. ==[ alpha ]==> ((^x.(x x))((a (a a))(a a))) 7. ==[ beta ]==> (((a (a a))(a a))((a (a a))(a a))) REDUCED to normal form. ------ 37137/2355996. ------ 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. ------ 37138/2356014. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(c (^b.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(c (^z.a))) 3. ==[ beta ]==> (b (c (^z.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 37139/2356023. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 37140/2356050. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a a)(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(a (a a)))) REDUCED to normal form. ------ 37141/2356086. ------ 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))) 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. ------ 37142/2356113. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y) 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. ------ 37143/2356140. ------ 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. ------ 37144/2356167. ------ 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))(^y.y))((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a a)(^y.(y y)))) REDUCED to normal form. ------ 37145/2356194. ------ 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. ------ 37146/2356221. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((^y.y) a) b)) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y) a) b)) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x) a) b)) 5. ==[ beta ]==> ((((a a) a) a)(a b)) REDUCED to normal form. ------ 37147/2356239. ------ 1. ==[ start ]==> (((^a.b) c)(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(c (a (^y.y)))) 3. ==[ beta ]==> (b (c (a (^y.y)))) 4. ==[ alpha ]==> (b (c (a (^x.x)))) REDUCED to normal form. ------ 37148/2356248. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (^a.a)) c)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (^y.y)) c)) REDUCED to normal form. ------ 37149/2356302. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(y y)) a)) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 37150/2356338. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(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. ------ 37151/2356473. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 37152/2356482. ------ 1. ==[ start ]==> (((a b) c)(a d)) REDUCED to normal form. ------ 37153/2356509. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(c (a a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(c (a a))) 3. ==[ beta ]==> (((a a) b)(c (a a))) REDUCED to normal form. ------ 37154/2356536. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(b (a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(b (a (^y.y)))) REDUCED to normal form. ------ 37155/2356554. ------ 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)(^x.x))(^z.a)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 37156/2356590. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (^z.z))(a a))) REDUCED to normal form. ------ 37157/2356617. ------ 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. ------ 37158/2356635. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(a (^y.a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(a (^y.a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(a (^x.a))) REDUCED to normal form. ------ 37159/2356671. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(b b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(b b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(b b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b b)) 5. ==[ beta ]==> ((^y.(^z.z))(b b)) 6. ==[ alpha ]==> ((^x.(^y.y))(b b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 37160/2356716. ------ 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 ((^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. ------ 37161/2356725. ------ 1. ==[ start ]==> (((a b)(^b.a))(b (a a))) 2. ==[ alpha ]==> (((a b)(^x.a))(b (a a))) REDUCED to normal form. ------ 37162/2356752. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 37163/2356779. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a a)(a a))) REDUCED to normal form. ------ 37164/2356815. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 37165/2356842. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a a) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a a) a)) 3. ==[ beta ]==> (((a (^x.x))(a a))((a a) a)) REDUCED to normal form. ------ 37166/2356869. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.y) a)) 3. ==[ beta ]==> ((a (a b))((^y.y) a)) 4. ==[ alpha ]==> ((a (a b))((^x.x) a)) 5. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 37167/2356895. ------ 1. ==[ start ]==> (^a.((a (a a))((a a) a))) 2. ==[ alpha ]==> (^x.((x (x x))((x x) x))) REDUCED to normal form. ------ 37168/2356896. ------ 1. ==[ start ]==> (a ((a (a a))((a a) a))) REDUCED to normal form. ------ 37169/2357493. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.((y y)(^z.z)))) 3. ==[ beta ]==> ((^y.((y y)(^z.z)))((^y.((y y)(^z.z)))(^y.((y y)(^z.z))))) 4. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.((z z)(^x1.x1)))(^y1.((y1 y1)(^z1.z1))))) 5. ==[ beta ]==> ((((^z.((z z)(^x1.x1)))(^y1.((y1 y1)(^z1.z1))))((^z.((z z)(^x1.x1)))(^y1.((y1 y1)(^z1.z1)))))(^y.y)) 6. ==[ alpha ]==> ((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))((^y1.((y1 y1)(^z1.z1)))(^x2.((x2 x2)(^y2.y2)))))(^z2.z2)) 7. ==[ beta ]==> (((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))((^y1.((y1 y1)(^z1.z1)))(^x2.((x2 x2)(^y2.y2)))))(^z2.z2)) 8. ==[ alpha ]==> (((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))((^z1.((z1 z1)(^x2.x2)))(^y2.((y2 y2)(^z2.z2)))))(^x3.x3)) 9. ==[ beta ]==> ((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))((^z1.((z1 z1)(^x2.x2)))(^y2.((y2 y2)(^z2.z2)))))(^x3.x3)) 10. ==[ alpha ]==> ((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))((^x2.((x2 x2)(^y2.y2)))(^z2.((z2 z2)(^x3.x3)))))(^y3.y3)) 11. ==[ beta ]==> (((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))((^x2.((x2 x2)(^y2.y2)))(^z2.((z2 z2)(^x3.x3)))))(^y3.y3)) 12. ==[ alpha ]==> (((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))((^y2.((y2 y2)(^z2.z2)))(^x3.((x3 x3)(^y3.y3)))))(^z3.z3)) 13. ==[ beta ]==> ((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))((^y2.((y2 y2)(^z2.z2)))(^x3.((x3 x3)(^y3.y3)))))(^z3.z3)) 14. ==[ alpha ]==> ((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))((^z2.((z2 z2)(^x3.x3)))(^y3.((y3 y3)(^z3.z3)))))(^x4.x4)) 15. ==[ beta ]==> (((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))((^z2.((z2 z2)(^x3.x3)))(^y3.((y3 y3)(^z3.z3)))))(^x4.x4)) 16. ==[ alpha ]==> (((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))((^x3.((x3 x3)(^y3.y3)))(^z3.((z3 z3)(^x4.x4)))))(^y4.y4)) 17. ==[ beta ]==> ((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))((^x3.((x3 x3)(^y3.y3)))(^z3.((z3 z3)(^x4.x4)))))(^y4.y4)) 18. ==[ alpha ]==> ((((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))((^y3.((y3 y3)(^z3.z3)))(^x4.((x4 x4)(^y4.y4)))))(^z4.z4)) 19. ==[ beta ]==> (((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))((^y3.((y3 y3)(^z3.z3)))(^x4.((x4 x4)(^y4.y4)))))(^z4.z4)) 20. ==[ alpha ]==> (((((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))((^z3.((z3 z3)(^x4.x4)))(^y4.((y4 y4)(^z4.z4)))))(^x5.x5)) 21. ==[ beta ]==> ((((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))((^z3.((z3 z3)(^x4.x4)))(^y4.((y4 y4)(^z4.z4)))))(^x5.x5)) 22. ==[ alpha ]==> ((((((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))((^x4.((x4 x4)(^y4.y4)))(^z4.((z4 z4)(^x5.x5)))))(^y5.y5)) 23. ==[ beta ]==> (((((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))((^x4.((x4 x4)(^y4.y4)))(^z4.((z4 z4)(^x5.x5)))))(^y5.y5)) 24. ==[ alpha ]==> (((((((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))((^y4.((y4 y4)(^z4.z4)))(^x5.((x5 x5)(^y5.y5)))))(^z5.z5)) 25. ==[ beta ]==> ((((((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))((^y4.((y4 y4)(^z4.z4)))(^x5.((x5 x5)(^y5.y5)))))(^z5.z5)) 26. ==[ alpha ]==> ((((((((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))((^z4.((z4 z4)(^x5.x5)))(^y5.((y5 y5)(^z5.z5)))))(^x6.x6)) 27. ==[ beta ]==> (((((((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))((^z4.((z4 z4)(^x5.x5)))(^y5.((y5 y5)(^z5.z5)))))(^x6.x6)) 28. ==[ alpha ]==> (((((((((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))((^x5.((x5 x5)(^y5.y5)))(^z5.((z5 z5)(^x6.x6)))))(^y6.y6)) 29. ==[ beta ]==> ((((((((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))((^x5.((x5 x5)(^y5.y5)))(^z5.((z5 z5)(^x6.x6)))))(^y6.y6)) 30. ==[ alpha ]==> ((((((((((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5))((^y5.((y5 y5)(^z5.z5)))(^x6.((x6 x6)(^y6.y6)))))(^z6.z6)) 31. ==[ beta ]==> (((((((((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5))((^y5.((y5 y5)(^z5.z5)))(^x6.((x6 x6)(^y6.y6)))))(^z6.z6)) 32. ==[ alpha ]==> (((((((((((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5))(^y5.y5))((^z5.((z5 z5)(^x6.x6)))(^y6.((y6 y6)(^z6.z6)))))(^x7.x7)) 33. ==[ beta ]==> ((((((((((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5))(^y5.y5))((^z5.((z5 z5)(^x6.x6)))(^y6.((y6 y6)(^z6.z6)))))(^x7.x7)) 34. ==[ alpha ]==> ((((((((((((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5))(^y5.y5))(^z5.z5))((^x6.((x6 x6)(^y6.y6)))(^z6.((z6 z6)(^x7.x7)))))(^y7.y7)) 35. ==[ beta ]==> (((((((((((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5))(^y5.y5))(^z5.z5))((^x6.((x6 x6)(^y6.y6)))(^z6.((z6 z6)(^x7.x7)))))(^y7.y7)) UNREDUCED: maximal number of reductions reached. ------ 37170/2360058. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.(z (z z)))) 3. ==[ beta ]==> (((^z.(z (z z)))(^z.(z (z z))))(^y.y)) 4. ==[ alpha ]==> (((^x.(x (x x)))(^y.(y (y y))))(^z.z)) 5. ==[ beta ]==> (((^y.(y (y y)))((^y.(y (y y)))(^y.(y (y y)))))(^z.z)) 6. ==[ alpha ]==> (((^x.(x (x x)))((^y.(y (y y)))(^z.(z (z z)))))(^x1.x1)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) UNREDUCED: maximal number of reductions reached. ------ 37171/2360655. ------ 1. ==[ start ]==> (((a (a a))((a a) a)) a) REDUCED to normal form. ------ 37172/2360661. ------ 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. ------ 37173/2360688. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)(a b))) 3. ==[ beta ]==> ((((^y.y) a)(a b))(((^y.y) a)(a b))) 4. ==[ alpha ]==> ((((^x.x) a)(a b))(((^y.y) a)(a b))) 5. ==[ beta ]==> ((a (a b))(((^y.y) a)(a b))) 6. ==[ alpha ]==> ((a (a b))(((^x.x) a)(a b))) 7. ==[ beta ]==> ((a (a b))(a (a b))) REDUCED to normal form. ------ 37174/2360715. ------ 1. ==[ start ]==> ((^a.b)((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.b)((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 37175/2360913. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (a a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (a a))(^z.a))) 3. ==[ beta ]==> (^y.((a (a a))(^z.a))) 4. ==[ alpha ]==> (^x.((a (a a))(^y.a))) REDUCED to normal form. ------ 37176/2360997. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^c.(^c.(^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. ------ 37177/2361249. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(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. ------ 37178/2361255. ------ 1. ==[ start ]==> ((^a.(a (a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^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))))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a ((a a)(^y.y)))(a ((a a)(^z.z))))) REDUCED to normal form. ------ 37179/2361258. ------ 1. ==[ start ]==> ((a (a (a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 37180/2361708. ------ 1. ==[ start ]==> (((a (a a)) b)(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a)) b)(^x.(a a))) REDUCED to normal form. ------ 37181/2361933. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(^y.(y y))) REDUCED to normal form. ------ 37182/2362038. ------ 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. ------ 37183/2362329. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(a y1))) 3. ==[ eta ]==> ((((^x.x)(^y.y))(^z.(^x1.x1))) a) 4. ==[ beta ]==> (((^y.y)(^z.(^x1.x1))) a) 5. ==[ alpha ]==> (((^x.x)(^y.(^z.z))) a) 6. ==[ beta ]==> ((^y.(^z.z)) a) 7. ==[ alpha ]==> ((^x.(^y.y)) a) 8. ==[ beta ]==> (^y.y) 9. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 37184/2362371. ------ 1. ==[ start ]==> ((^a.(^a.b))(((a a) a) b)) 2. ==[ alpha ]==> ((^x.(^y.b))(((a a) a) b)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 37185/2362527. ------ 1. ==[ start ]==> ((((a a) a)(a a))(^a.(a b))) 2. ==[ alpha ]==> ((((a a) a)(a a))(^x.(x b))) REDUCED to normal form. ------ 37186/2362551. ------ 1. ==[ start ]==> ((^a.(a b))(((a a) a)(a a))) 2. ==[ alpha ]==> ((^x.(x b))(((a a) a)(a a))) 3. ==[ beta ]==> ((((a a) a)(a a)) b) REDUCED to normal form. ------ 37187/2362707. ------ 1. ==[ start ]==> ((((a a) a) b)(^a.(^a.b))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.b))) REDUCED to normal form. ------ 37188/2362869. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.((a a) a))) 5. ==[ beta ]==> ((^y.a)(^z.((a a) a))) 6. ==[ alpha ]==> ((^x.a)(^y.((a a) a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 37189/2362938. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (a a)) c)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (a a)) c)) 3. ==[ beta ]==> (^y.(((a (a a)) c)((a (a a)) c))) 4. ==[ alpha ]==> (^x.(((a (a a)) c)((a (a a)) c))) REDUCED to normal form. ------ 37190/2363040. ------ 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. ------ 37191/2363145. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((a (^z.z))(a (a a)))((a (^z.z))(a (a a))))) 4. ==[ alpha ]==> ((^x.x)(((a (^y.y))(a (a a)))((a (^z.z))(a (a a))))) 5. ==[ beta ]==> (((a (^y.y))(a (a a)))((a (^z.z))(a (a a)))) 6. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 37192/2363319. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 37193/2363328. ------ 1. ==[ start ]==> (((a b) b)(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b) b)(^x.(^z.z))) 4. ==[ alpha ]==> (((a b) b)(^x.(^y.y))) REDUCED to normal form. ------ 37194/2363463. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 37195/2363820. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(a (a (a a)))) 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. ------ 37196/2363823. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(y (y y)))) REDUCED to normal form. ------ 37197/2363994. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 37198/2364003. ------ 1. ==[ start ]==> (((a b) c)(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a b) c)(^x.((^y.y) a))) 3. ==[ beta ]==> (((a b) c)(^x.a)) REDUCED to normal form. ------ 37199/2364156. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^b.c)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.c)) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.c)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.c)) REDUCED to normal form. ------ 37200/2364219. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 37201/2364273. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 37202/2364363. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^a.b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.b)) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.b)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.b)) REDUCED to normal form. ------ 37203/2364390. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.(y y))) 3. ==[ beta ]==> ((a (a b))(^y.(y y))) 4. ==[ alpha ]==> ((a (a b))(^x.(x x))) REDUCED to normal form. ------ 37204/2364417. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(^a.a)) 2. ==[ alpha ]==> (((a (a a))((a a) a))(^x.x)) REDUCED to normal form. ------ 37205/2364429. ------ 1. ==[ start ]==> ((a a)((a (a a))((a a) a))) REDUCED to normal form. ------ 37206/2364456. ------ 1. ==[ start ]==> ((a (a a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((a (a a))(((^x.x) a)(a b))) 3. ==[ beta ]==> ((a (a a))(a (a b))) REDUCED to normal form. ------ 37207/2364483. ------ 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 (^x.x))(a a))) REDUCED to normal form. ------ 37208/2364501. ------ 1. ==[ start ]==> (((a a)(^a.a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 37209/2364573. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^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. ------ 37210/2364582. ------ 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 a)) REDUCED to normal form. ------ 37211/2364600. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a b)(^b.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. ------ 37212/2364609. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.b)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 37213/2364627. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> ((a (^y.y))(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 37214/2364654. ------ 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.(^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. ------ 37215/2364663. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 37216/2364681. ------ 1. ==[ start ]==> ((a (^b.a))((a (a a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.a))((a (a a))(^y.a))) REDUCED to normal form. ------ 37217/2364717. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.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. ------ 37218/2364762. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.a)((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 37219/2364789. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1)) a)) 3. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) a)) 5. ==[ beta ]==> (((a a)(^y.y)) a) 6. ==[ alpha ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 37220/2364798. ------ 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 (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 37221/2364825. ------ 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 a)) REDUCED to normal form. ------ 37222/2364843. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a b) c)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a b) c)) 3. ==[ beta ]==> (((^y.y) a)((a b) c)) 4. ==[ alpha ]==> (((^x.x) a)((a b) c)) 5. ==[ beta ]==> (a ((a b) c)) REDUCED to normal form. ------ 37223/2364852. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 37224/2364906. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 37225/2364996. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(b ((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a a))(b ((^y.y)(a a)))) 4. ==[ alpha ]==> ((a (a a))(b ((^x.x)(a a)))) 5. ==[ beta ]==> ((a (a a))(b (a a))) REDUCED to normal form. ------ 37226/2365023. ------ 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. ------ 37227/2365059. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.(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 a) REDUCED to normal form. ------ 37228/2365230. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(b (^y.(a a)))) REDUCED to normal form. ------ 37229/2365338. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((b b)((^y.a)((^z.z) a))) 4. ==[ alpha ]==> ((b b)((^x.a)((^y.y) a))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 37230/2365383. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (a a))(^b.(^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. ------ 37231/2365464. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(^y1.(a a)))) 5. ==[ beta ]==> ((^y.y)((a a)(^y1.(a a)))) 6. ==[ alpha ]==> ((^x.x)((a a)(^y.(a a)))) 7. ==[ beta ]==> ((a a)(^y.(a a))) 8. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 37232/2365473. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.x)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a)) b)((^y.y)(a a))) 4. ==[ alpha ]==> (((a (a a)) b)((^x.x)(a a))) 5. ==[ beta ]==> (((a (a a)) b)(a a)) REDUCED to normal form. ------ 37233/2365500. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((^y.y) a)((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(a a))(^z.z))) 5. ==[ beta ]==> (a ((^y.(a a))(^z.z))) 6. ==[ alpha ]==> (a ((^x.(a a))(^y.y))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 37234/2365518. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a b) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b) 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. ------ 37235/2365527. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 37236/2365581. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.(^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. ------ 37237/2365608. ------ 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.(^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. ------ 37238/2365635. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((^y.y)((^z.a)(^x1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 7. ==[ beta ]==> ((^y.a)(^z.a)) 8. ==[ alpha ]==> ((^x.a)(^y.a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 37239/2365671. ------ 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. ------ 37240/2365698. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(a ((^y.y)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(a (a a))) REDUCED to normal form. ------ 37241/2365725. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a b)(a a))) 3. ==[ beta ]==> ((a ((^y.y) a))((a b)(a a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a b)(a a))) 5. ==[ beta ]==> ((a a)((a b)(a a))) REDUCED to normal form. ------ 37242/2365752. ------ 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. ------ 37243/2365779. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^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)((^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. ------ 37244/2365806. ------ 1. ==[ start ]==> ((a ((a a) a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 37245/2365932. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.b)(a a))) 3. ==[ beta ]==> (((^y.y) b)((^z.b)(a a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.b)(a a))) 5. ==[ beta ]==> (b ((^y.b)(a a))) 6. ==[ alpha ]==> (b ((^x.b)(a a))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 37246/2365977. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.a))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.a))) 7. ==[ beta ]==> (((a a) a)(^y.a)) 8. ==[ alpha ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 37247/2366004. ------ 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.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(y y)))) 5. ==[ beta ]==> ((a (a a))(^y.(y y))) 6. ==[ alpha ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 37248/2366013. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(x1 x1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 37249/2366040. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 37250/2366067. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(^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. ------ 37251/2366094. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.y1)(a b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(a b))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a b))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 37252/2366121. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.b)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.x)) b) REDUCED to normal form. ------ 37253/2366139. ------ 1. ==[ start ]==> ((a (^a.b))(((a a) a) b)) 2. ==[ alpha ]==> ((a (^x.b))(((a a) a) b)) REDUCED to normal form. ------ 37254/2366265. ------ 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. ------ 37255/2366292. ------ 1. ==[ start ]==> ((((a a) a)(a a))(a (a b))) REDUCED to normal form. ------ 37256/2366319. ------ 1. ==[ start ]==> ((a (a b))(((a a) a)(a a))) REDUCED to normal form. ------ 37257/2366328. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^c.a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a) b)) 3. ==[ beta ]==> ((^y.b)((^z.a) b)) 4. ==[ alpha ]==> ((^x.b)((^y.a) b)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 37258/2366472. ------ 1. ==[ start ]==> ((((a a) a) b)(a (^a.b))) 2. ==[ alpha ]==> ((((a a) a) b)(a (^x.b))) REDUCED to normal form. ------ 37259/2366490. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((a a) a)(^z.z))) 3. ==[ beta ]==> (b (((a a) a)(^z.z))) 4. ==[ alpha ]==> (b (((a a) a)(^x.x))) REDUCED to normal form. ------ 37260/2366499. ------ 1. ==[ start ]==> (((a b) a)((^c.a)(a a))) 2. ==[ alpha ]==> (((a b) a)((^x.a)(a a))) 3. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 37261/2366517. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a b)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((a b)(^y.(^z.z))) 8. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 37262/2366526. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.(^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. ------ 37263/2366544. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a (a a))(^z.a))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z.a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.a))) 5. ==[ beta ]==> ((a (a a))(^y.a)) 6. ==[ alpha ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 37264/2366580. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)(a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(a (a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 37265/2366598. ------ 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.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 37266/2366607. ------ 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)(^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. ------ 37267/2366634. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.x1)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)((a a) a))) 5. ==[ beta ]==> ((^y.a)((^z.z)((a a) a))) 6. ==[ alpha ]==> ((^x.a)((^y.y)((a a) a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 37268/2366679. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (b (((^y.y)(^z.z)) b)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) b)) 5. ==[ beta ]==> (b ((^y.y) b)) 6. ==[ alpha ]==> (b ((^x.x) b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 37269/2366688. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 37270/2366706. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (a a)) c)) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (a a)) c)) REDUCED to normal form. ------ 37271/2366778. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(b ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(b ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(b ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(b ((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (^x.x))(b (^z.z))) 8. ==[ alpha ]==> ((a (^x.x))(b (^y.y))) REDUCED to normal form. ------ 37272/2366805. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(a ((a a) a))) REDUCED to normal form. ------ 37273/2366832. ------ 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.y1))(a a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1)(^y1.y1))(a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(^x1.x1))(a a))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))(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 ((^y.y)(a a))) 10. ==[ alpha ]==> (a ((^x.x)(a a))) 11. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 37274/2366859. ------ 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. ------ 37275/2366886. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x) 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. ------ 37276/2366913. ------ 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. ------ 37277/2367003. ------ 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.(^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. ------ 37278/2367084. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a a)(^b.(^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. ------ 37279/2367093. ------ 1. ==[ start ]==> (((a b) b)((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.x)((^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. ------ 37280/2367120. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.(^a.a))(^a.a))) 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. ------ 37281/2367138. ------ 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. ------ 37282/2367147. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 37283/2367165. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^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. ------ 37284/2367174. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 37285/2367228. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 37286/2367300. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.a) c)) 2. ==[ alpha ]==> (((^x.b)(a (^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. ------ 37287/2367309. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(c (^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c (^z.a))) REDUCED to normal form. ------ 37288/2367336. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(b (^z.(z z)))) 3. ==[ beta ]==> (((a a)(^y.y))(b (^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (^y.(y y)))) REDUCED to normal form. ------ 37289/2367525. ------ 1. ==[ start ]==> (((^a.b) c)((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 37290/2367534. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(c (a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(c (a (^y.y)))) REDUCED to normal form. ------ 37291/2367561. ------ 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. ------ 37292/2367588. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (a (a a)))) REDUCED to normal form. ------ 37293/2367624. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^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. ------ 37294/2367759. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 37295/2367768. ------ 1. ==[ start ]==> (((a b) c)((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b) c)((^x.x)((^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. ------ 37296/2367795. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 37297/2367822. ------ 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)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 37298/2367867. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.a) a)) 3. ==[ beta ]==> ((^y.y)((^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. ------ 37299/2367876. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(c (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(c (^z.z))) REDUCED to normal form. ------ 37300/2367903. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(b (^a.(^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. ------ 37301/2367957. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(^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. ------ 37302/2367984. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a (^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 37303/2368002. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a (^z.z)) a)) 3. ==[ beta ]==> (b ((a (^z.z)) a)) 4. ==[ alpha ]==> (b ((a (^x.x)) a)) REDUCED to normal form. ------ 37304/2368011. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 37305/2368038. ------ 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)(^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. ------ 37306/2368065. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(b (^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b (^z.z))) REDUCED to normal form. ------ 37307/2368101. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(b a)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(b a)) REDUCED to normal form. ------ 37308/2368128. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(a b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(a b)) 3. ==[ beta ]==> (((a (^x.x))(a a))(a b)) REDUCED to normal form. ------ 37309/2368155. ------ 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. ------ 37310/2368182. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(a a)) REDUCED to normal form. ------ 37311/2368788. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^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))))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 37312/2369013. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 37313/2371353. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^z.(^x1.(x1 x1)))(^z.(^x1.(x1 x1))))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.(y y)))(^z.(^x1.(x1 x1))))(^y1.y1)) 5. ==[ beta ]==> ((^y.(y y))(^y1.y1)) 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. ------ 37314/2371950. ------ 1. ==[ start ]==> (((a (a a))((a a) a)) b) REDUCED to normal form. ------ 37315/2371974. ------ 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. ------ 37316/2372019. ------ 1. ==[ start ]==> ((^a.b)(c (^b.(a a)))) 2. ==[ alpha ]==> ((^x.b)(c (^y.(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 37317/2372055. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 37318/2372289. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(^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. ------ 37319/2372562. ------ 1. ==[ start ]==> ((a (a (a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 37320/2372571. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))(^y.((y y)(^z.z)))) 5. ==[ beta ]==> ((^y.((y y)(^z.z)))(^y.((y y)(^z.z)))) 6. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1)))) 7. ==[ beta ]==> (((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y)) 8. ==[ alpha ]==> (((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1)) 9. ==[ beta ]==> ((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1)) 10. ==[ alpha ]==> ((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1)) 11. ==[ beta ]==> (((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1)) 12. ==[ alpha ]==> (((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2)) 13. ==[ beta ]==> ((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2)) 14. ==[ alpha ]==> ((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2)) 15. ==[ beta ]==> (((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2)) 16. ==[ alpha ]==> (((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2)) 17. ==[ beta ]==> ((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2)) 18. ==[ alpha ]==> ((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) UNREDUCED: maximal number of reductions reached. ------ 37321/2372784. ------ 1. ==[ start ]==> ((^a.(^b.(^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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 37322/2372787. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 37323/2372910. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 37324/2373012. ------ 1. ==[ start ]==> (((a (a a)) b)(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.(a a)))) REDUCED to normal form. ------ 37325/2373237. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 37326/2373435. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^c.(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(a b))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(a b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(a b))) 5. ==[ beta ]==> (a (^z.(a b))) 6. ==[ alpha ]==> (a (^x.(a b))) REDUCED to normal form. ------ 37327/2373831. ------ 1. ==[ start ]==> ((((a a) a)(a a))(^b.(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.x))) REDUCED to normal form. ------ 37328/2374173. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^c.(^c.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. ------ 37329/2374344. ------ 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. ------ 37330/2374488. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 37331/2374632. ------ 1. ==[ start ]==> (((a b) b)(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 37332/2374911. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(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. ------ 37333/2375019. ------ 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. ------ 37334/2375124. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((^z.z)(^x1.(x1 x1)))((^z.z)(^x1.(x1 x1))))(^y.y)) 4. ==[ alpha ]==> ((((^x.x)(^y.(y y)))((^z.z)(^x1.(x1 x1))))(^y1.y1)) 5. ==[ beta ]==> (((^y.(y y))((^z.z)(^x1.(x1 x1))))(^y1.y1)) 6. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.(z z))))(^x1.x1)) 7. ==[ beta ]==> ((((^y.y)(^z.(z z)))((^y.y)(^z.(z z))))(^x1.x1)) 8. ==[ alpha ]==> ((((^x.x)(^y.(y y)))((^z.z)(^x1.(x1 x1))))(^y1.y1)) IRREDUCIBLE: cycle. ------ 37335/2375127. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 37336/2375307. ------ 1. ==[ start ]==> (((a b) c)(^c.(^b.a))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.a))) REDUCED to normal form. ------ 37337/2375406. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.(^y.y))((^z.z)(a a)))(^y1.y1)) 4. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(^x1.x1)) 5. ==[ beta ]==> ((^y.y)(^x1.x1)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 37338/2375541. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^a.c)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.c)) 3. ==[ beta ]==> (b (^z.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 37339/2375640. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 37340/2375667. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^b.(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.(a a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(a a))) REDUCED to normal form. ------ 37341/2375694. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.(^z.z))) 3. ==[ beta ]==> ((a (a b))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 37342/2375721. ------ 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. ------ 37343/2375751. ------ 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. ------ 37344/2375778. ------ 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. ------ 37345/2375796. ------ 1. ==[ start ]==> ((a b)(c (^b.(a a)))) 2. ==[ alpha ]==> ((a b)(c (^x.(a a)))) REDUCED to normal form. ------ 37346/2375805. ------ 1. ==[ start ]==> (((^a.a)(a a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a a)((a (^y.y))((^z.z)(a a)))) 4. ==[ alpha ]==> ((a a)((a (^x.x))((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)((a (^x.x))(a a))) REDUCED to normal form. ------ 37347/2375832. ------ 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. ------ 37348/2375868. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.z))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 37349/2375895. ------ 1. ==[ start ]==> (((a a) b)(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(((^x.x)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) b)((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 37350/2375922. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a b)(^y.a))) REDUCED to normal form. ------ 37351/2375949. ------ 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. ------ 37352/2375976. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 37353/2376012. ------ 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. ------ 37354/2376030. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 37355/2376039. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a)(a b))) 3. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 37356/2376066. ------ 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 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. ------ 37357/2376111. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x)) b)(((a a)(^y.y)) a)) REDUCED to normal form. ------ 37358/2376138. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y)(a a)) b)) 3. ==[ beta ]==> ((a a)(((^y.y)(a a)) b)) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a)) b)) 5. ==[ beta ]==> ((a a)((a a) b)) REDUCED to normal form. ------ 37359/2376165. ------ 1. ==[ start ]==> (((a a)(^b.a))((a b) c)) 2. ==[ alpha ]==> (((a a)(^x.a))((a b) c)) REDUCED to normal form. ------ 37360/2376282. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 37361/2376309. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(^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. ------ 37362/2376345. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a ((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.(y y))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.(x x))(a ((a a)(^y.y)))) 5. ==[ beta ]==> ((a ((a a)(^y.y)))(a ((a a)(^y.y)))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 37363/2376372. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 37364/2376408. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.b) c)) 3. ==[ beta ]==> ((a b)((^y.b) c)) 4. ==[ alpha ]==> ((a b)((^x.b) c)) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 37365/2376426. ------ 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 ]==> (((^y.y)(^y.y))(((a a) a)((^z.z) 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. ------ 37366/2376453. ------ 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. ------ 37367/2376480. ------ 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 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. ------ 37368/2376534. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(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))) REDUCED to normal form. ------ 37369/2376561. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 37370/2376606. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(a a))(a a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(a a))(a a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(a a))(a a))) 5. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 37371/2376633. ------ 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. ------ 37372/2376651. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((a a) a)(^y.a))) 3. ==[ beta ]==> ((b b)(((a a) a)(^y.a))) 4. ==[ alpha ]==> ((b b)(((a a) a)(^x.a))) REDUCED to normal form. ------ 37373/2376687. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 37374/2376786. ------ 1. ==[ start ]==> (((a (a a)) b)((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((a a)(^x.(a a)))) REDUCED to normal form. ------ 37375/2376813. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) 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)) 7. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 37376/2376840. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a b) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b) b)) REDUCED to normal form. ------ 37377/2376984. ------ 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)(^y.y))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 37378/2377011. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(a a))) REDUCED to normal form. ------ 37379/2377155. ------ 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)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)((^z1.z1)(^x2.x2)))) 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. ------ 37380/2377209. ------ 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)(^y.a))((a a)(a b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a a)(a b))) 5. ==[ beta ]==> (a ((a a)(a b))) REDUCED to normal form. ------ 37381/2377245. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a b)(^z.z))) 3. ==[ beta ]==> (((^y.y) b)((a b)(^z.z))) 4. ==[ alpha ]==> (((^x.x) b)((a b)(^y.y))) 5. ==[ beta ]==> (b ((a b)(^y.y))) 6. ==[ alpha ]==> (b ((a b)(^x.x))) REDUCED to normal form. ------ 37382/2377272. ------ 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. ------ 37383/2377326. ------ 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.(x1 x1)))) REDUCED to normal form. ------ 37384/2377353. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a) a)(^b.(^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. ------ 37385/2377380. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 37386/2377407. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a a)(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a a)(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.b))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 37387/2377434. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a b) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a b) a)) REDUCED to normal form. ------ 37388/2377497. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 37389/2377524. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> ((a (a (a a)))((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> ((a (a (a a)))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 37390/2377551. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.a)(^b.(^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. ------ 37391/2377605. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)(^y.b))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.b)) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.b)) REDUCED to normal form. ------ 37392/2377623. ------ 1. ==[ start ]==> (((^a.b) a)((^a.b) a)) 2. ==[ alpha ]==> (((^x.b) a)((^y.b) a)) 3. ==[ beta ]==> (b ((^y.b) a)) 4. ==[ alpha ]==> (b ((^x.b) a)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 37393/2377641. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((a a) a)(a a))) 3. ==[ beta ]==> ((^y.b)(((a a) a)(a a))) 4. ==[ alpha ]==> ((^x.b)(((a a) a)(a a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 37394/2377722. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) a)(a (a a)))) IRREDUCIBLE: cycle. ------ 37395/2377812. ------ 1. ==[ start ]==> (((a b) a)(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a b) a)(((a a) a)(^x.x))) REDUCED to normal form. ------ 37396/2377839. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.b))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.b))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 37397/2377893. ------ 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.(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. ------ 37398/2377920. ------ 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.(^x1.x1)))) REDUCED to normal form. ------ 37399/2377947. ------ 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 REDUCED to normal form. ------ 37400/2377974. ------ 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. ------ 37401/2378001. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (((a b)(^x.x))((^z.z) b)) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y) b)) 5. ==[ beta ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 37402/2378037. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(x x))(^y.a))) 3. ==[ beta ]==> (((a a)(a b))((^y.a)(^y.a))) 4. ==[ alpha ]==> (((a a)(a b))((^x.a)(^y.a))) 5. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 37403/2378064. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) a) REDUCED to normal form. ------ 37404/2378091. ------ 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.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 37405/2378190. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.b) b)((^y.(y y)) c)) 3. ==[ beta ]==> (b ((^y.(y y)) c)) 4. ==[ alpha ]==> (b ((^x.(x x)) c)) 5. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 37406/2378235. ------ 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 a) REDUCED to normal form. ------ 37407/2378262. ------ 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))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 37408/2378406. ------ 1. ==[ start ]==> (((a b) b)((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 37409/2378433. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z)) a)) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y)) a)) 5. ==[ beta ]==> (((a a) a)((^y.y) a)) 6. ==[ alpha ]==> (((a a) a)((^x.x) a)) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 37410/2378460. ------ 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. ------ 37411/2378487. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a) a) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z) a) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a c)) REDUCED to normal form. ------ 37412/2378532. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(b (a (a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(b (a (a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b (a (a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b (a (a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b (a (a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(b (a (a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(b (a (a a)))) 9. ==[ beta ]==> ((^y.y)(b (a (a a)))) 10. ==[ alpha ]==> ((^x.x)(b (a (a a)))) 11. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 37413/2378568. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z)) a)) 7. ==[ beta ]==> (((^y.(^z.z)) a)((^y.(^z.z)) a)) 8. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1)) a)) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 11. ==[ beta ]==> ((^y.(^z.z)) a) 12. ==[ alpha ]==> ((^x.(^y.y)) a) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 37414/2378595. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(y y)) b)) 3. ==[ beta ]==> ((((a a) a)(^x.a))(b b)) REDUCED to normal form. ------ 37415/2378613. ------ 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. ------ 37416/2378622. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a) c)) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 37417/2378685. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(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. ------ 37418/2378712. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(y y))(a a))) 3. ==[ beta ]==> (((a (^x.x))(a b))((a a)(a a))) REDUCED to normal form. ------ 37419/2378739. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.a)(a (^y.y)))) 5. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 37420/2378766. ------ 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))((^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. ------ 37421/2378793. ------ 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. ------ 37422/2378820. ------ 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))) 5. ==[ beta ]==> ((((a a) a) a)((^y.y)(^y.y))) 6. ==[ alpha ]==> ((((a a) a) a)((^x.x)(^y.y))) 7. ==[ beta ]==> ((((a a) a) a)(^y.y)) 8. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 37423/2378838. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.b) c)(((^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. ------ 37424/2378847. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.a)(^a.(^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. ------ 37425/2378874. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 37426/2378901. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.(z z))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(y y))) REDUCED to normal form. ------ 37427/2378937. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 37428/2379072. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(b c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(b c)) 3. ==[ beta ]==> (b (b c)) REDUCED to normal form. ------ 37429/2379081. ------ 1. ==[ start ]==> (((a b) c)((a a)(^b.a))) 2. ==[ alpha ]==> (((a b) c)((a a)(^x.a))) REDUCED to normal form. ------ 37430/2379108. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((^y.y) a) a)) 3. ==[ beta ]==> (((a a) b)(((^y.y) a) a)) 4. ==[ alpha ]==> (((a a) b)(((^x.x) a) a)) 5. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 37431/2379135. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a (^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.y)) b)) REDUCED to normal form. ------ 37432/2379153. ------ 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. ------ 37433/2379180. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(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. ------ 37434/2379189. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.a) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 37435/2379216. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z)) b)) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 37436/2379234. ------ 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. ------ 37437/2379270. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 37438/2379297. ------ 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. ------ 37439/2379315. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(a c)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(a c)) 3. ==[ beta ]==> (b (a c)) REDUCED to normal form. ------ 37440/2379324. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y)) a)) REDUCED to normal form. ------ 37441/2379351. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a a) b)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a a) b)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a) b)) REDUCED to normal form. ------ 37442/2379378. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 37443/2379414. ------ 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. ------ 37444/2379441. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.z)(a a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(a a))) 5. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 37445/2379468. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a (a b))((^y.y)(^z.z))) 4. ==[ alpha ]==> ((a (a b))((^x.x)(^y.y))) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 37446/2379495. ------ 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. ------ 37447/2383386. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 37448/2383398. ------ 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)))) REDUCED to normal form. ------ 37449/2383431. ------ 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 ]==> ((((a a)(^z.z))(^x1.x1))(^y.y)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 37450/2383548. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 37451/2383620. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (^z.z))(^x1.(a a)))) 3. ==[ eta ]==> ((^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. ------ 37452/2383659. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^y1.((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a)(^z.z)))) 5. ==[ beta ]==> (^y.((a a)(^z.z))) 6. ==[ alpha ]==> (^x.((a a)(^y.y))) REDUCED to normal form. ------ 37453/2383791. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(^a.a))(^b.(^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. ------ 37454/2383902. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(y y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 37455/2384115. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (^x1.(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 37456/2384241. ------ 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.(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. ------ 37457/2385006. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 37458/2385180. ------ 1. ==[ start ]==> (((^a.b) a)(^a.(a b))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(y b))) 3. ==[ beta ]==> (b (^y.(y b))) 4. ==[ alpha ]==> (b (^x.(x b))) REDUCED to normal form. ------ 37459/2385186. ------ 1. ==[ start ]==> ((^a.(a b))((^a.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 b) REDUCED to normal form. ------ 37460/2385342. ------ 1. ==[ start ]==> ((((a a) a) b)(^c.((a a) a))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.((a a) a))) REDUCED to normal form. ------ 37461/2385360. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(^x1.b))) 3. ==[ beta ]==> (b (^z.(^x1.b))) 4. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 37462/2385573. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.(^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. ------ 37463/2386125. ------ 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.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(y y))(^z.((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))(^y.((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((^y.((^z.z)(^x1.x1)))(^y.((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 9. ==[ beta ]==> ((^y.y)(^z.z)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 37464/2386638. ------ 1. ==[ start ]==> (((a b) c)(^d.c)) 2. ==[ alpha ]==> (((a b) c)(^x.c)) REDUCED to normal form. ------ 37465/2386737. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 37466/2386746. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 37467/2386872. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (b (^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 37468/2386881. ------ 1. ==[ start ]==> (((a b)(^b.a))(^a.c)) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.c)) REDUCED to normal form. ------ 37469/2386935. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 37470/2386971. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^b.b)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 37471/2387025. ------ 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. ------ 37472/2387052. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(^b.a)) 2. ==[ alpha ]==> (((a (a a))((a a) a))(^x.a)) REDUCED to normal form. ------ 37473/2387100. ------ 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. ------ 37474/2387127. ------ 1. ==[ start ]==> (((a a) a)(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a a) a)(((^x.x) a)(a b))) 3. ==[ beta ]==> (((a a) a)(a (a b))) REDUCED to normal form. ------ 37475/2387154. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.x))((a (^y.y))(a a))) REDUCED to normal form. ------ 37476/2387172. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 37477/2387181. ------ 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. ------ 37478/2387217. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 37479/2387253. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(a a))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> ((^y.(a a))(a (^z.z))) 6. ==[ alpha ]==> ((^x.(a a))(a (^y.y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 37480/2387280. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 37481/2387334. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 37482/2387379. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a (^z.b))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(a (^y.b))) REDUCED to normal form. ------ 37483/2387406. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a (^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)))) REDUCED to normal form. ------ 37484/2387415. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^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. ------ 37485/2387442. ------ 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)(^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. ------ 37486/2387496. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(a a))(^a.(^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. ------ 37487/2387523. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.b)(^b.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. ------ 37488/2387577. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(^a.a))(^b.(^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. ------ 37489/2387667. ------ 1. ==[ start ]==> (((^a.(a a)) a)(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(b ((^y.y)(a a)))) 3. ==[ beta ]==> ((a a)(b ((^y.y)(a a)))) 4. ==[ alpha ]==> ((a a)(b ((^x.x)(a a)))) 5. ==[ beta ]==> ((a a)(b (a a))) REDUCED to normal form. ------ 37490/2387748. ------ 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. ------ 37491/2387775. ------ 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. ------ 37492/2387802. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((^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. ------ 37493/2387829. ------ 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)))) 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. ------ 37494/2387856. ------ 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. ------ 37495/2387883. ------ 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. ------ 37496/2387901. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.(a a)))) REDUCED to normal form. ------ 37497/2387946. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(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. ------ 37498/2387973. ------ 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. ------ 37499/2388000. ------ 1. ==[ start ]==> (((a (a a))(a a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a a))(((a a) a)(^x.a))) REDUCED to normal form. ------ 37500/2388027. ------ 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.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(z z)))) 7. ==[ beta ]==> ((a (^x.x))(^z.(z z))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 37501/2388036. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.(^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. ------ 37502/2388063. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(x1 x1))((^y1.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. ------ 37503/2388117. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(^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. ------ 37504/2388171. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(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. ------ 37505/2388198. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.b)(^a.(^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. ------ 37506/2388252. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 37507/2388378. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(a a)) a)) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(a a)) a)) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a)) a)) 5. ==[ beta ]==> ((a a)((^y.(a a)) a)) 6. ==[ alpha ]==> ((a a)((^x.(a a)) a)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 37508/2388405. ------ 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. ------ 37509/2388549. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(b (^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(b (^z.b))) 3. ==[ beta ]==> (((^y.a)(^y.a))(b (^z.b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(b (^z.b))) 5. ==[ beta ]==> (a (b (^z.b))) 6. ==[ alpha ]==> (a (b (^x.b))) REDUCED to normal form. ------ 37510/2388657. ------ 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.(^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. ------ 37511/2388711. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a a)((^y.a)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((a a)((^x.a)((^y.y)(^z.z)))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 37512/2388792. ------ 1. ==[ start ]==> ((a (^a.b))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.b)(^z.z))) 3. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 37513/2388810. ------ 1. ==[ start ]==> (((a a)((a a) a))(((a a) a) b)) REDUCED to normal form. ------ 37514/2388963. ------ 1. ==[ start ]==> (((^a.b) a)(a (a b))) 2. ==[ alpha ]==> (((^x.b) a)(a (a b))) 3. ==[ beta ]==> (b (a (a b))) REDUCED to normal form. ------ 37515/2388972. ------ 1. ==[ start ]==> ((a (a b))((^a.b) a)) 2. ==[ alpha ]==> ((a (a b))((^x.b) a)) 3. ==[ beta ]==> ((a (a b)) b) REDUCED to normal form. ------ 37516/2389125. ------ 1. ==[ start ]==> ((((a a) a) b)((a a)((a a) a))) REDUCED to normal form. ------ 37517/2389143. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(a (^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(a (^z.b))) 3. ==[ beta ]==> (b (a (^z.b))) 4. ==[ alpha ]==> (b (a (^x.b))) REDUCED to normal form. ------ 37518/2389170. ------ 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) REDUCED to normal form. ------ 37519/2389197. ------ 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 (^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. ------ 37520/2389251. ------ 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. ------ 37521/2389332. ------ 1. ==[ start ]==> (((^a.b)(a a))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 37522/2389359. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.(^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. ------ 37523/2389377. ------ 1. ==[ start ]==> (((a a)(a b))((a (a a)) c)) REDUCED to normal form. ------ 37524/2389512. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 37525/2389530. ------ 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. ------ 37526/2389539. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(a a)) c)) 2. ==[ alpha ]==> (((a b)(a a))((^x.(x x)) c)) 3. ==[ beta ]==> (((a b)(a a))(c c)) REDUCED to normal form. ------ 37527/2389575. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c (^z.(z z)))) 3. ==[ beta ]==> ((^y.(a a))(c (^z.(z z)))) 4. ==[ alpha ]==> ((^x.(a a))(c (^y.(y y)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 37528/2389602. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(b (^b.(^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. ------ 37529/2389656. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.(^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. ------ 37530/2389737. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 37531/2389791. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.(^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))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 37532/2389818. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 37533/2389872. ------ 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.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.(x2 x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.(x2 x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.(z1 z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(y1 y1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 37534/2389881. ------ 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. ------ 37535/2389908. ------ 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.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))(a ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))(a ((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a ((^y.y)(^z.z)))(a ((^y.y)(^z.z)))) 8. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(a ((^z.z)(^x1.x1)))) 9. ==[ beta ]==> ((a (^y.y))(a ((^z.z)(^x1.x1)))) 10. ==[ alpha ]==> ((a (^x.x))(a ((^y.y)(^z.z)))) 11. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 12. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 37536/2389935. ------ 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. ------ 37537/2389962. ------ 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. ------ 37538/2389989. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.y))((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 (^y.y)) a)) REDUCED to normal form. ------ 37539/2390052. ------ 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. ------ 37540/2390079. ------ 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. ------ 37541/2390106. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^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. ------ 37542/2390133. ------ 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. ------ 37543/2390160. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a (a a)) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a (a a)) a)) 3. ==[ beta ]==> ((((a a) a) a)((a (a a)) a)) REDUCED to normal form. ------ 37544/2390178. ------ 1. ==[ start ]==> (((^a.b) c)(d (a a))) 2. ==[ alpha ]==> (((^x.b) c)(d (a a))) 3. ==[ beta ]==> (b (d (a a))) REDUCED to normal form. ------ 37545/2390187. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y) a) b)) 3. ==[ beta ]==> (((a b)(a (^x.x)))(a b)) REDUCED to normal form. ------ 37546/2390412. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 37547/2390421. ------ 1. ==[ start ]==> (((a b) c)(b c)) REDUCED to normal form. ------ 37548/2390493. ------ 1. ==[ start ]==> (((^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.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. ------ 37549/2390520. ------ 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)((^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. ------ 37550/2390529. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a ((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a a)) REDUCED to normal form. ------ 37551/2390556. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (^z.z))(a a))) 3. ==[ beta ]==> ((a (^y.b))((a (^z.z))(a a))) 4. ==[ alpha ]==> ((a (^x.b))((a (^y.y))(a a))) REDUCED to normal form. ------ 37552/2390574. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(b (^a.(^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. ------ 37553/2390610. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(c a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(c a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(c a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c a)) 5. ==[ beta ]==> ((^y.(^z.z))(c a)) 6. ==[ alpha ]==> ((^x.(^y.y))(c a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 37554/2390637. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(b b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(b b)) REDUCED to normal form. ------ 37555/2390655. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 37556/2390664. ------ 1. ==[ start ]==> (((a b)(^b.a))(a c)) 2. ==[ alpha ]==> (((a b)(^x.a))(a c)) REDUCED to normal form. ------ 37557/2390691. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 37558/2390718. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (a (^z.z)))) REDUCED to normal form. ------ 37559/2390754. ------ 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)(^x.x))) b) REDUCED to normal form. ------ 37560/2390781. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a a)(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a a)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a a)(^y.y))) REDUCED to normal form. ------ 37561/2390808. ------ 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. ------ 37562/2390835. ------ 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. ------ 37563/2390861. ------ 1. ==[ start ]==> (^a.(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (^x.(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^x.((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (^x.((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^x.((^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. ------ 37564/2390862. ------ 1. ==[ start ]==> (a (((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (a (((^x.x)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (a ((^y.y)((^z.z)(^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))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 37565/2392755. ------ 1. ==[ start ]==> ((^a.(a b))(^a.(a b))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(y b))) 3. ==[ beta ]==> ((^y.(y b)) b) 4. ==[ alpha ]==> ((^x.(x b)) b) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 37566/2394648. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^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. ------ 37567/2394654. ------ 1. ==[ start ]==> ((^a.a)(((^a.a)(^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. ------ 37568/2394681. ------ 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. ------ 37569/2394708. ------ 1. ==[ start ]==> ((^a.b)(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((^x.b)(((^y.y) a)(a b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 37570/2394906. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a)(^a.a))(^b.(^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. ------ 37571/2395026. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 37572/2395248. ------ 1. ==[ start ]==> ((^a.(a (a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(b ((^y.y)(a a)))) 3. ==[ beta ]==> ((b ((^y.y)(a a)))((b ((^y.y)(a a)))(b ((^y.y)(a a))))) 4. ==[ alpha ]==> ((b ((^x.x)(a a)))((b ((^y.y)(a a)))(b ((^z.z)(a a))))) 5. ==[ beta ]==> ((b (a a))((b ((^y.y)(a a)))(b ((^z.z)(a a))))) 6. ==[ alpha ]==> ((b (a a))((b ((^x.x)(a a)))(b ((^y.y)(a a))))) 7. ==[ beta ]==> ((b (a a))((b (a a))(b ((^y.y)(a a))))) 8. ==[ alpha ]==> ((b (a a))((b (a a))(b ((^x.x)(a a))))) 9. ==[ beta ]==> ((b (a a))((b (a a))(b (a a)))) REDUCED to normal form. ------ 37573/2395728. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y) a)(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (a (^y.((^z.z)(a a)))) 6. ==[ alpha ]==> (a (^x.((^y.y)(a a)))) 7. ==[ beta ]==> (a (^x.(a a))) REDUCED to normal form. ------ 37574/2395953. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> ((a ((^y.y) a))(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.((^z.z)(y y)))) 5. ==[ beta ]==> ((a a)(^y.((^z.z)(y y)))) 6. ==[ alpha ]==> ((a a)(^x.((^y.y)(x x)))) 7. ==[ beta ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 37575/2396031. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((((^y.y)(^z.z))((^x1.x1) a))(((^y.y)(^z.z))((^x1.x1) a)))(((^y.y)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((((^x.x)(^y.y))((^z.z) a))(((^x1.x1)(^y1.y1))((^z1.z1) a)))(((^x2.x2)(^y2.y2))((^z2.z2) a))) 5. ==[ beta ]==> ((((^y.y)((^z.z) a))(((^x1.x1)(^y1.y1))((^z1.z1) a)))(((^x2.x2)(^y2.y2))((^z2.z2) a))) 6. ==[ alpha ]==> ((((^x.x)((^y.y) a))(((^z.z)(^x1.x1))((^y1.y1) a)))(((^z1.z1)(^x2.x2))((^y2.y2) a))) 7. ==[ beta ]==> ((((^y.y) a)(((^z.z)(^x1.x1))((^y1.y1) a)))(((^z1.z1)(^x2.x2))((^y2.y2) a))) 8. ==[ alpha ]==> ((((^x.x) a)(((^y.y)(^z.z))((^x1.x1) a)))(((^y1.y1)(^z1.z1))((^x2.x2) a))) 9. ==[ beta ]==> ((a (((^y.y)(^z.z))((^x1.x1) a)))(((^y1.y1)(^z1.z1))((^x2.x2) a))) 10. ==[ alpha ]==> ((a (((^x.x)(^y.y))((^z.z) a)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 11. ==[ beta ]==> ((a ((^y.y)((^z.z) a)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 12. ==[ alpha ]==> ((a ((^x.x)((^y.y) a)))(((^z.z)(^x1.x1))((^y1.y1) a))) 13. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(^x1.x1))((^y1.y1) a))) 14. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(^z.z))((^x1.x1) a))) 15. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((^x1.x1) a))) 16. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))((^z.z) a))) 17. ==[ beta ]==> ((a a)((^y.y)((^z.z) a))) 18. ==[ alpha ]==> ((a a)((^x.x)((^y.y) a))) 19. ==[ beta ]==> ((a a)((^y.y) a)) 20. ==[ alpha ]==> ((a a)((^x.x) a)) 21. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 37576/2396160. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(^x1.(z z)))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.(z z)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(y y)))) 5. ==[ beta ]==> (b (^y.(^z.(y y)))) 6. ==[ alpha ]==> (b (^x.(^y.(x x)))) REDUCED to normal form. ------ 37577/2396349. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^b.(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(a y))) 3. ==[ eta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 37578/2396364. ------ 1. ==[ start ]==> ((^a.(^a.b))((a b) a)) 2. ==[ alpha ]==> ((^x.(^y.b))((a b) a)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 37579/2396538. ------ 1. ==[ start ]==> (((^a.b) a)(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(^z.y))) 3. ==[ beta ]==> (b (^y.(^z.y))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 37580/2396544. ------ 1. ==[ start ]==> ((^a.(a b))(a (a b))) 2. ==[ alpha ]==> ((^x.(x b))(a (a b))) 3. ==[ beta ]==> ((a (a b)) b) REDUCED to normal form. ------ 37581/2396547. ------ 1. ==[ start ]==> ((a (a b))(^a.(a b))) 2. ==[ alpha ]==> ((a (a b))(^x.(x b))) REDUCED to normal form. ------ 37582/2396727. ------ 1. ==[ start ]==> (((a b) a)(^a.(^a.b))) 2. ==[ alpha ]==> (((a b) a)(^x.(^y.b))) REDUCED to normal form. ------ 37583/2396889. ------ 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. ------ 37584/2396931. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (^y.((((^z.z)(^x1.x1)) b)(((^z.z)(^x1.x1)) b))) 4. ==[ alpha ]==> (^x.((((^y.y)(^z.z)) b)(((^x1.x1)(^y1.y1)) b))) 5. ==[ beta ]==> (^x.(((^z.z) b)(((^x1.x1)(^y1.y1)) b))) 6. ==[ alpha ]==> (^x.(((^y.y) b)(((^z.z)(^x1.x1)) b))) 7. ==[ beta ]==> (^x.(b (((^z.z)(^x1.x1)) b))) 8. ==[ alpha ]==> (^x.(b (((^y.y)(^z.z)) b))) 9. ==[ beta ]==> (^x.(b ((^z.z) b))) 10. ==[ alpha ]==> (^x.(b ((^y.y) b))) 11. ==[ beta ]==> (^x.(b b)) REDUCED to normal form. ------ 37585/2397060. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(^x1.((x1 x1) x1))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(^x1.((x1 x1) x1))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.((z z) z))) 5. ==[ beta ]==> (((^y.y) a)(^z.((z z) z))) 6. ==[ alpha ]==> (((^x.x) a)(^y.((y y) y))) 7. ==[ beta ]==> (a (^y.((y y) y))) 8. ==[ alpha ]==> (a (^x.((x x) x))) REDUCED to normal form. ------ 37586/2397138. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((((^z.z) a)((^x1.x1) a))(((^z.z) a)((^x1.x1) a)))) 4. ==[ alpha ]==> ((^x.x)((((^y.y) a)((^z.z) a))(((^x1.x1) a)((^y1.y1) a)))) 5. ==[ beta ]==> ((((^y.y) a)((^z.z) a))(((^x1.x1) a)((^y1.y1) a))) 6. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) a)((^x1.x1) a))) 7. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)((^x1.x1) a))) 8. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)((^z.z) a))) 9. ==[ beta ]==> ((a a)(((^y.y) a)((^z.z) a))) 10. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y) a))) 11. ==[ beta ]==> ((a a)(a ((^y.y) a))) 12. ==[ alpha ]==> ((a a)(a ((^x.x) a))) 13. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 37587/2397348. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^b.((^a.a)(^a.a)))) 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)(^x.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 37588/2397483. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 37589/2397813. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(b ((^z.z) a))) 3. ==[ beta ]==> (((b ((^z.z) a))(b ((^z.z) a)))(^y.y)) 4. ==[ alpha ]==> (((b ((^x.x) a))(b ((^y.y) a)))(^z.z)) 5. ==[ beta ]==> (((b a)(b ((^y.y) a)))(^z.z)) 6. ==[ alpha ]==> (((b a)(b ((^x.x) a)))(^y.y)) 7. ==[ beta ]==> (((b a)(b a))(^y.y)) 8. ==[ alpha ]==> (((b a)(b a))(^x.x)) REDUCED to normal form. ------ 37590/2398023. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^b.((^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)(^x.a)) REDUCED to normal form. ------ 37591/2398104. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.a))) REDUCED to normal form. ------ 37592/2398185. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 37593/2398230. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^c.(^a.(^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. ------ 37594/2398239. ------ 1. ==[ start ]==> (((a b)(^b.a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(a (^z.z)))) REDUCED to normal form. ------ 37595/2398293. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 37596/2398383. ------ 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. ------ 37597/2398410. ------ 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. ------ 37598/2398437. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^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. ------ 37599/2398449. ------ 1. ==[ start ]==> ((a a)(((^a.a)(^a.a))((^a.a)(^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)((^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. ------ 37600/2398476. ------ 1. ==[ start ]==> ((a (a a))((a (a a))((a a) a))) REDUCED to normal form. ------ 37601/2398503. ------ 1. ==[ start ]==> ((a b)(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((a b)(((^x.x) a)(a b))) 3. ==[ beta ]==> ((a b)(a (a b))) REDUCED to normal form. ------ 37602/2398548. ------ 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. ------ 37603/2398557. ------ 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. ------ 37604/2398593. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 37605/2398602. ------ 1. ==[ start ]==> (((a a) b)((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(a a))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 37606/2398620. ------ 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)(((^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. ------ 37607/2398629. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 37608/2398647. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a b)(^b.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. ------ 37609/2398656. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 37610/2398674. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> ((^y.y)(((a 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. ------ 37611/2398701. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a)(^a.a))(^b.(^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. ------ 37612/2398737. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(z z))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 37613/2398782. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.a)((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.a)((a (^y.y))(^z.(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 37614/2398818. ------ 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 (^x.x)) b)((a a)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a a)(^y.y))) REDUCED to normal form. ------ 37615/2398863. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(a a)) b)) 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. ------ 37616/2398872. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(a a))(^a.(^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. ------ 37617/2398890. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((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. ------ 37618/2398899. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.b)(^b.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. ------ 37619/2399034. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(^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. ------ 37620/2399043. ------ 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. ------ 37621/2399079. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 37622/2399133. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.b) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.b) c)) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.b) c)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b) c)) 5. ==[ beta ]==> ((^y.y)((^z.b) c)) 6. ==[ alpha ]==> ((^x.x)((^y.b) c)) 7. ==[ beta ]==> ((^y.b) c) 8. ==[ alpha ]==> ((^x.b) c) 9. ==[ beta ]==> b REDUCED to normal form. ------ 37623/2399286. ------ 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. ------ 37624/2399358. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.b)(a (^z.z)))) 3. ==[ beta ]==> ((b b)((^y.b)(a (^z.z)))) 4. ==[ alpha ]==> ((b b)((^x.b)(a (^y.y)))) 5. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 37625/2399403. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 37626/2399430. ------ 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.(^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. ------ 37627/2399484. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.b))) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.b))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.b))) 7. ==[ beta ]==> ((a (^y.y))(^z.b)) 8. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 37628/2399493. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(^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. ------ 37629/2399520. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y) a)((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> (a ((^y.y)((^z.z)(a a)))) 6. ==[ alpha ]==> (a ((^x.x)((^y.y)(a a)))) 7. ==[ beta ]==> (a ((^y.y)(a a))) 8. ==[ alpha ]==> (a ((^x.x)(a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 37630/2399538. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(a a)) a)) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a)) a)) 5. ==[ beta ]==> ((^y.y)(((^z.z)(a a)) a)) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a)) a)) 7. ==[ beta ]==> (((^y.y)(a a)) a) 8. ==[ alpha ]==> (((^x.x)(a a)) a) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 37631/2399547. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 37632/2399565. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a b) b)) 3. ==[ beta ]==> ((^y.y)((a b) b)) 4. ==[ alpha ]==> ((^x.x)((a b) b)) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 37633/2399574. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) b) REDUCED to normal form. ------ 37634/2399601. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^c.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((a (^y.a))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 37635/2399628. ------ 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.(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. ------ 37636/2399655. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 9. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 37637/2399718. ------ 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. ------ 37638/2399745. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(a ((^z.z)(a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x) 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. ------ 37639/2399772. ------ 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. ------ 37640/2399799. ------ 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. ------ 37641/2399826. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a ((a a) a))((^y.y)((^z.z) a))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.x)((^y.y) a))) 5. ==[ beta ]==> ((a ((a a) a))((^y.y) a)) 6. ==[ alpha ]==> ((a ((a a) a))((^x.x) a)) 7. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 37642/2399952. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(a (^z.(a a)))) 3. ==[ beta ]==> (((^y.y) b)(a (^z.(a a)))) 4. ==[ alpha ]==> (((^x.x) b)(a (^y.(a a)))) 5. ==[ beta ]==> (b (a (^y.(a a)))) 6. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 37643/2399979. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.b)(a a))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.b)(a a))) 3. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 37644/2399997. ------ 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. ------ 37645/2400024. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.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. ------ 37646/2400033. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.(^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. ------ 37647/2400060. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))(a (a a)))) 5. ==[ beta ]==> ((a (^x.(x x)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 37648/2400078. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a) a)(^b.(^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. ------ 37649/2400087. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.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. ------ 37650/2400114. ------ 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.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. ------ 37651/2400141. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.a)(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(a b))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(a b)) REDUCED to normal form. ------ 37652/2400159. ------ 1. ==[ start ]==> ((a (^a.b))((a b) a)) 2. ==[ alpha ]==> ((a (^x.b))((a b) a)) REDUCED to normal form. ------ 37653/2400312. ------ 1. ==[ start ]==> ((((a a) a)(a a))(b ((a a) a))) REDUCED to normal form. ------ 37654/2400330. ------ 1. ==[ start ]==> (((^a.b) a)((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 37655/2400339. ------ 1. ==[ start ]==> ((a (a b))(a (a b))) REDUCED to normal form. ------ 37656/2400348. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.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. ------ 37657/2400492. ------ 1. ==[ start ]==> ((((a a) a) b)(b (^c.a))) 2. ==[ alpha ]==> ((((a a) a) b)(b (^x.a))) REDUCED to normal form. ------ 37658/2400519. ------ 1. ==[ start ]==> (((a b) a)(a (^a.b))) 2. ==[ alpha ]==> (((a b) a)(a (^x.b))) REDUCED to normal form. ------ 37659/2400537. ------ 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. ------ 37660/2400546. ------ 1. ==[ start ]==> (((a a)(^a.b))((^c.a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.a)(a a))) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 37661/2400564. ------ 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))(^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. ------ 37662/2400600. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 37663/2400618. ------ 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.(z z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(a (^y.(y y)))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(a (^x.(x x)))) REDUCED to normal form. ------ 37664/2400627. ------ 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. ------ 37665/2400654. ------ 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))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 37666/2400681. ------ 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. ------ 37667/2400699. ------ 1. ==[ start ]==> (((^a.b)(a a))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.b)(a a))(((a a) a) a)) 3. ==[ beta ]==> (b (((a a) a) a)) REDUCED to normal form. ------ 37668/2400708. ------ 1. ==[ start ]==> (((a b)(^a.a))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 37669/2400726. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> ((a (^x.(a a)))((^z.z) b)) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y) b)) 5. ==[ beta ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 37670/2400825. ------ 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. ------ 37671/2400852. ------ 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. ------ 37672/2400879. ------ 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. ------ 37673/2400906. ------ 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. ------ 37674/2400933. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)((^z.z) a))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> ((a (a a))(a ((^y.y) a))) 6. ==[ alpha ]==> ((a (a a))(a ((^x.x) a))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 37675/2401023. ------ 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.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.x2))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.x2))) 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. ------ 37676/2401104. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 37677/2401113. ------ 1. ==[ start ]==> (((a b) b)((^a.(^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. ------ 37678/2401140. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)((^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. ------ 37679/2401158. ------ 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)) a)) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z)) a)) 5. ==[ beta ]==> ((a a)(((^y.y)(^z.z)) a)) 6. ==[ alpha ]==> ((a a)(((^x.x)(^y.y)) a)) 7. ==[ beta ]==> ((a a)((^y.y) a)) 8. ==[ alpha ]==> ((a a)((^x.x) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 37680/2401167. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 37681/2401185. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a (a a)) b)) 3. ==[ beta ]==> ((^y.y)((a (a a)) b)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) b)) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 37682/2401194. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 37683/2401248. ------ 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))(^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. ------ 37684/2401275. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y.y)(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 9. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 10. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.y1)))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 37685/2401320. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^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. ------ 37686/2401392. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a a)(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a a)(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))((a a)(a (a a)))) REDUCED to normal form. ------ 37687/2401545. ------ 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))) 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. ------ 37688/2401608. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(b ((^y.y) a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(b a)) REDUCED to normal form. ------ 37689/2401644. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^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. ------ 37690/2401779. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 37691/2401788. ------ 1. ==[ start ]==> (((a b) c)((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 37692/2401815. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 37693/2401842. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a)(^z.z))) 3. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 37694/2401860. ------ 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)) REDUCED to normal form. ------ 37695/2401896. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.a)) REDUCED to normal form. ------ 37696/2401923. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(c (^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(c (^z.z))) 3. ==[ beta ]==> ((a (^y.b))(c (^z.z))) 4. ==[ alpha ]==> ((a (^x.b))(c (^y.y))) REDUCED to normal form. ------ 37697/2401941. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(^z.z)) b)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y)) b)) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 37698/2401977. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(a (^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(a (^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 37699/2402004. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.(^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)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 37700/2402022. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 37701/2402031. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 37702/2402058. ------ 1. ==[ start ]==> ((((^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))) 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. ------ 37703/2402085. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 37704/2402121. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a a)(a a))) REDUCED to normal form. ------ 37705/2402148. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(b a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(b a)) 3. ==[ beta ]==> (((a (^x.x))(a a))(b a)) REDUCED to normal form. ------ 37706/2402175. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(a b)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(a b)) 3. ==[ beta ]==> ((a (a b))(a b)) REDUCED to normal form. ------ 37707/2402202. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(a (a a))) REDUCED to normal form. ------ 37708/2402229. ------ 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. ------ 37709/2404131. ------ 1. ==[ start ]==> ((^a.(a b))(^b.(^a.b))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(^z.y))) 3. ==[ beta ]==> ((^y.(^z.y)) b) 4. ==[ alpha ]==> ((^x.(^y.x)) b) 5. ==[ beta ]==> (^y.b) 6. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 37710/2406024. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^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. ------ 37711/2406048. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 37712/2406129. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 37713/2406363. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.a)(a b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.a)(a b))) 3. ==[ eta ]==> ((^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. ------ 37714/2406411. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 37715/2406633. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(^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. ------ 37716/2406672. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.((x1 x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^x1.((x1 x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y)(^z.z)))) 5. ==[ beta ]==> (^y.((y y)(^z.z))) 6. ==[ alpha ]==> (^x.((x x)(^y.y))) REDUCED to normal form. ------ 37717/2406858. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))(a b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 37718/2407338. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.(a a)))) 5. ==[ beta ]==> ((a a)(^y.(^z.(a a)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(a a)))) REDUCED to normal form. ------ 37719/2407929. ------ 1. ==[ start ]==> ((^a.(a b))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((^x.(x b))((^y.y)(^z.b))) 3. ==[ beta ]==> (((^y.y)(^z.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. ------ 37720/2407932. ------ 1. ==[ start ]==> ((a (a b))(^b.(^a.b))) 2. ==[ alpha ]==> ((a (a b))(^x.(^y.x))) REDUCED to normal form. ------ 37721/2407941. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^a.(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(z b))) 3. ==[ beta ]==> ((^y.b)(^z.(z b))) 4. ==[ alpha ]==> ((^x.b)(^y.(y b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 37722/2408103. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^c.((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.((a a) a))) 3. ==[ beta ]==> (b (^z.((a a) a))) 4. ==[ alpha ]==> (b (^x.((a a) a))) REDUCED to normal form. ------ 37723/2408445. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(^x1.(^y1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(^x1.(^y1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(^x1.a))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.a))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.a))) 7. ==[ beta ]==> (a (^y.(^z.a))) 8. ==[ alpha ]==> (a (^x.(^y.a))) REDUCED to normal form. ------ 37724/2409012. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 37725/2409120. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(^y.(a (a a)))) 3. ==[ beta ]==> ((((a a) a) a)(^y.(a (a a)))) 4. ==[ alpha ]==> ((((a a) a) a)(^x.(a (a a)))) REDUCED to normal form. ------ 37726/2409198. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(^a.a))(^b.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. ------ 37727/2409237. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^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. ------ 37728/2409408. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^c.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.(^z.a))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.a))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.a))) REDUCED to normal form. ------ 37729/2409489. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^c.c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 37730/2409570. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^b.c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.c)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.c)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.c)) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.c)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.c)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 37731/2409624. ------ 1. ==[ start ]==> (((a b)(^b.a))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 37732/2409741. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^a.(^a.(^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. ------ 37733/2409768. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.(a a))) 3. ==[ beta ]==> ((a (a b))(^y.(a a))) 4. ==[ alpha ]==> ((a (a b))(^x.(a a))) REDUCED to normal form. ------ 37734/2409795. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 37735/2409822. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^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. ------ 37736/2409852. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.x))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 37737/2409879. ------ 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. ------ 37738/2409906. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)(a b))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(a b))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(a b))) 5. ==[ beta ]==> ((a a)(a (a b))) REDUCED to normal form. ------ 37739/2409933. ------ 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. ------ 37740/2409951. ------ 1. ==[ start ]==> (((a a)(a a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 37741/2409996. ------ 1. ==[ start ]==> (((a a) b)(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a) b)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 37742/2410023. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a)(a a))(^a.(^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. ------ 37743/2410050. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)(^z.a))) REDUCED to normal form. ------ 37744/2410077. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a) a)(^z.(z z)))) REDUCED to normal form. ------ 37745/2410113. ------ 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. ------ 37746/2410131. ------ 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 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. ------ 37747/2410140. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(y y))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 37748/2410167. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.a)(a b))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(a b))) 3. ==[ beta ]==> ((a a)((^y.a)(a b))) 4. ==[ alpha ]==> ((a a)((^x.a)(a b))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 37749/2410212. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 37750/2410239. ------ 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)) REDUCED to normal form. ------ 37751/2410266. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(a a)) b)) 3. ==[ beta ]==> (((a a)(^x.a))((a a) b)) REDUCED to normal form. ------ 37752/2410293. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a b) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a b) c)) REDUCED to normal form. ------ 37753/2410356. ------ 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) 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. ------ 37754/2410410. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.a)(^z.b))) 3. ==[ beta ]==> ((a (a a))((^y.a)(^z.b))) 4. ==[ alpha ]==> ((a (a a))((^x.a)(^y.b))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 37755/2410437. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((a (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 37756/2410446. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b ((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.(y y))(b ((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.(x x))(b ((^y.y)(a a)))) 5. ==[ beta ]==> ((b ((^y.y)(a a)))(b ((^y.y)(a a)))) 6. ==[ alpha ]==> ((b ((^x.x)(a a)))(b ((^y.y)(a a)))) 7. ==[ beta ]==> ((b (a a))(b ((^y.y)(a a)))) 8. ==[ alpha ]==> ((b (a a))(b ((^x.x)(a a)))) 9. ==[ beta ]==> ((b (a a))(b (a a))) REDUCED to normal form. ------ 37757/2410473. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 37758/2410509. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(a a)) b)) 3. ==[ beta ]==> ((a b)((^y.(a a)) b)) 4. ==[ alpha ]==> ((a b)((^x.(a a)) b)) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 37759/2410527. ------ 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 ]==> (((^y.y)(^y.y))((a b)(a (^z.z)))) 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. ------ 37760/2410536. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.b) c)) 2. ==[ alpha ]==> (((a (a a)) a)((^x.b) c)) 3. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 37761/2410554. ------ 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))) 5. ==[ beta ]==> ((a (a a))(((a a) a) a)) REDUCED to normal form. ------ 37762/2410581. ------ 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)(^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. ------ 37763/2410635. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> (((a a)(a 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. ------ 37764/2410662. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(a b))) REDUCED to normal form. ------ 37765/2410680. ------ 1. ==[ start ]==> (((a a)(a (a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(b (^x.(a a)))) REDUCED to normal form. ------ 37766/2410734. ------ 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. ------ 37767/2410752. ------ 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 b)((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> ((b b)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 37768/2410761. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.b)(a (^y.y)))) 3. ==[ beta ]==> (((a (a a))(a a)) b) REDUCED to normal form. ------ 37769/2410887. ------ 1. ==[ start ]==> (((a (a a)) b)((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a)) b)((a (^x.x))(^y.b))) REDUCED to normal form. ------ 37770/2410914. ------ 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. ------ 37771/2410941. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 37772/2410968. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a b) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a b) b)) REDUCED to normal form. ------ 37773/2410995. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((a a) a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((a a) a) c)) 3. ==[ beta ]==> ((a (^y.a))(((a a) a) c)) 4. ==[ alpha ]==> ((a (^x.a))(((a a) a) c)) REDUCED to normal form. ------ 37774/2411085. ------ 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)(^y.y))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 37775/2411112. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.(^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. ------ 37776/2411139. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^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. ------ 37777/2411256. ------ 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. ------ 37778/2411310. ------ 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)(^y.a))((a (^z.z))((a a) a))) 4. ==[ alpha ]==> (((^x.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))) REDUCED to normal form. ------ 37779/2411373. ------ 1. ==[ start ]==> ((((a a) a) a)((a b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a) a)((a b)(^x.x))) REDUCED to normal form. ------ 37780/2411427. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)(^z1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.a)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.a)) REDUCED to normal form. ------ 37781/2411454. ------ 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.(z z)))) 3. ==[ beta ]==> ((a (^y.(y y)))((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 37782/2411481. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a) a)(^b.(^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. ------ 37783/2411535. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)(^y.b))) REDUCED to normal form. ------ 37784/2411571. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.b)(^y.y))) 3. ==[ beta ]==> (((a a)((a a) a)) b) REDUCED to normal form. ------ 37785/2411625. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((a (a (a a)))(^y.y)) 6. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 37786/2411652. ------ 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))(^z.(z z)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> (((a (a a)) a)((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> (((a (a a)) a)((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 37787/2411679. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.a)(^b.(^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. ------ 37788/2411733. ------ 1. ==[ start ]==> ((a (a b))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((a (a b))((^x.x)(^y.b))) 3. ==[ beta ]==> ((a (a b))(^y.b)) 4. ==[ alpha ]==> ((a (a b))(^x.b)) REDUCED to normal form. ------ 37789/2411742. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(a (a b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(a (a b))) 3. ==[ beta ]==> ((^y.b)(a (a b))) 4. ==[ alpha ]==> ((^x.b)(a (a b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 37790/2411823. ------ 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.z) a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (a a))((^z.z) a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (a a))((^z.z) a))) IRREDUCIBLE: cycle. ------ 37791/2411904. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a a)((a a) a))) 3. ==[ beta ]==> (b ((a a)((a a) a))) REDUCED to normal form. ------ 37792/2411940. ------ 1. ==[ start ]==> (((a a)(^a.b))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.b))(((a a) a)(^y.y))) REDUCED to normal form. ------ 37793/2411994. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 37794/2412021. ------ 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.(z z)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a (^z.(z z)))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a (^y.(y y)))) REDUCED to normal form. ------ 37795/2412048. ------ 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 REDUCED to normal form. ------ 37796/2412102. ------ 1. ==[ start ]==> (((a b)(^a.a))(((a a) a) a)) 2. ==[ alpha ]==> (((a b)(^x.x))(((a a) a) a)) REDUCED to normal form. ------ 37797/2412138. ------ 1. ==[ start ]==> (((a a)(a b))((^b.(^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. ------ 37798/2412165. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((^z.a)(^z.a))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a (^x.x))((a a) a)) a) REDUCED to normal form. ------ 37799/2412192. ------ 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.(y1 y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(z z)))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 37800/2412219. ------ 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. ------ 37801/2412291. ------ 1. ==[ start ]==> (((^a.b) b)((^b.(^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. ------ 37802/2412336. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 37803/2412363. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a (^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a (a a)))) 5. ==[ beta ]==> ((a (^y.y))(a (a a))) 6. ==[ alpha ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 37804/2412498. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(c d)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c d)) 3. ==[ beta ]==> (b (c d)) REDUCED to normal form. ------ 37805/2412507. ------ 1. ==[ start ]==> (((a b) b)((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b) b)((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 37806/2412534. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a a)(^b.(^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. ------ 37807/2412561. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> (((a a)(^x.(a a)))((^z.z) a)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y) a)) 5. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 37808/2412588. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (a a)) b)) REDUCED to normal form. ------ 37809/2412696. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 37810/2412714. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a (a a))(a a))) 3. ==[ beta ]==> (b ((a (a a))(a a))) REDUCED to normal form. ------ 37811/2412723. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 37812/2412750. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.a) c)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a) c)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a) c)) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 37813/2412786. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(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. ------ 37814/2412813. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(a (^y.(^z.z)))) REDUCED to normal form. ------ 37815/2412840. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(y y))(a a))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(y y))(a a))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(x x))(a a))) 5. ==[ beta ]==> ((a ((a a) a))((a a)(a a))) REDUCED to normal form. ------ 37816/2412867. ------ 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) REDUCED to normal form. ------ 37817/2412894. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((^z.z) a))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 37818/2412921. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.y)(a (a a)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.y)(a (a a)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.x)(a (a a)))) 5. ==[ beta ]==> ((((a a) a) a)(a (a a))) REDUCED to normal form. ------ 37819/2412939. ------ 1. ==[ start ]==> (((^a.b) c)((a (a a)) a)) 2. ==[ alpha ]==> (((^x.b) c)((a (a a)) a)) 3. ==[ beta ]==> (b ((a (a a)) a)) REDUCED to normal form. ------ 37820/2412948. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((^z.z)(^z.z))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 37821/2412975. ------ 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)))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 37822/2413002. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(^a.a))(^b.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. ------ 37823/2413038. ------ 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)))) 4. ==[ alpha ]==> ((^x.x)(a (a (a a)))) 5. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 37824/2413173. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(c b)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(c b)) 3. ==[ beta ]==> (b (c b)) REDUCED to normal form. ------ 37825/2413182. ------ 1. ==[ start ]==> (((a b) c)((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 37826/2413209. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 37827/2413236. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((^a.a) a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y) a) a)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a a)) REDUCED to normal form. ------ 37828/2413281. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(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. ------ 37829/2413290. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a a) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a a) c)) REDUCED to normal form. ------ 37830/2413317. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.a) a)) 3. ==[ beta ]==> ((a (^y.b))((^z.a) a)) 4. ==[ alpha ]==> ((a (^x.b))((^y.a) a)) 5. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 37831/2413335. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a (^y.y))(a a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a (^y.y))(a a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a (^x.x))(a a))) REDUCED to normal form. ------ 37832/2413371. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.y1) c)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1) c)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) c)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z) c)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 37833/2413398. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 37834/2413416. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(b b)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(b b)) 3. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 37835/2413425. ------ 1. ==[ start ]==> (((a b)(^b.a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 37836/2413452. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 37837/2413479. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a a) b)) REDUCED to normal form. ------ 37838/2413515. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(b (^y.y))) REDUCED to normal form. ------ 37839/2413542. ------ 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 (^x.x))(a a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 37840/2413569. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.y)(a a))) 3. ==[ beta ]==> ((a (a b))((^y.y)(a a))) 4. ==[ alpha ]==> ((a (a b))((^x.x)(a a))) 5. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 37841/2413596. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.x)(^y.y))) 3. ==[ beta ]==> (((a (a a))((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.x)) REDUCED to normal form. ------ 37842/2413623. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(a (^y1.y1))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(a (^y1.y1))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a (^x1.x1))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a (^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.z))) 7. ==[ beta ]==> ((^y.y)(a (^z.z))) 8. ==[ alpha ]==> ((^x.x)(a (^y.y))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 37843/2415354. ------ 1. ==[ start ]==> ((^a.(^a.b))(^b.(a b))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(a z))) 3. ==[ eta ]==> ((^x.(^y.b)) a) 4. ==[ beta ]==> (^y.b) 5. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 37844/2417703. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.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)))) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 37845/2417775. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z) a)(^x1.b))) 3. ==[ eta ]==> ((^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. ------ 37846/2418084. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 37847/2418270. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(c (^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(c (^x1.b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 37848/2418396. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((a a) 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. ------ 37849/2418543. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(a a)))) 7. ==[ beta ]==> (^y.((^z.z)(a a))) 8. ==[ alpha ]==> (^x.((^y.y)(a a))) 9. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 37850/2418957. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^c.(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))) REDUCED to normal form. ------ 37851/2419161. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.a)(a b))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.z)(a b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 37852/2419164. ------ 1. ==[ start ]==> ((a (^a.b))(^b.(a b))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(a y))) 3. ==[ eta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 37853/2419353. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.z))) 3. ==[ beta ]==> ((^y.b)(^z.(^x1.z))) 4. ==[ alpha ]==> ((^x.b)(^y.(^z.y))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 37854/2419524. ------ 1. ==[ start ]==> (((a b) a)(^c.((a a) a))) 2. ==[ alpha ]==> (((a b) a)(^x.((a a) a))) REDUCED to normal form. ------ 37855/2419542. ------ 1. ==[ start ]==> (((^a.a)(a b))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.b))) 3. ==[ beta ]==> ((a b)(^y.(^z.b))) 4. ==[ alpha ]==> ((a b)(^x.(^y.b))) REDUCED to normal form. ------ 37856/2419704. ------ 1. ==[ start ]==> (((^a.b)(a a))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.((a a) a))) 3. ==[ beta ]==> (b (^y.((a a) a))) 4. ==[ alpha ]==> (b (^x.((a a) a))) REDUCED to normal form. ------ 37857/2419728. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (^y.(((^z.a)(^x1.x1))((^z.a)(^x1.x1)))) 4. ==[ alpha ]==> (^x.(((^y.a)(^z.z))((^x1.a)(^y1.y1)))) 5. ==[ beta ]==> (^x.(a ((^x1.a)(^y1.y1)))) 6. ==[ alpha ]==> (^x.(a ((^y.a)(^z.z)))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 37858/2420028. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^a.(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.x1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.y1))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.y1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 7. ==[ beta ]==> (^y.(^z.y)) 8. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 37859/2420163. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^b.((^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)))) 7. ==[ beta ]==> ((a a)(^x.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 37860/2420307. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 37861/2420649. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^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. ------ 37862/2420928. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((^x.x) a)(^y.b))(^x1.x1)) 4. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.z)) 5. ==[ beta ]==> ((a (^y.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 37863/2420982. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 37864/2421153. ------ 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. ------ 37865/2421180. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^c.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.(^z.z))) 3. ==[ beta ]==> ((a (a b))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 37866/2421234. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(^b.a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.a)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.a)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.a)) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.a)) 7. ==[ beta ]==> ((^y.y)(^z.a)) 8. ==[ alpha ]==> ((^x.x)(^y.a)) 9. ==[ beta ]==> (^y.a) 10. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 37867/2421282. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (a (((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (a (((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (a ((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.x)((^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. ------ 37868/2421309. ------ 1. ==[ start ]==> (((a a) a)((a (a a))((a a) a))) REDUCED to normal form. ------ 37869/2421336. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(a b))) 3. ==[ beta ]==> (((a a)(^x.x))(a (a b))) REDUCED to normal form. ------ 37870/2421363. ------ 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 (^x.x))(a a))) REDUCED to normal form. ------ 37871/2421390. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a a)((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.y)((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.x)((a a)((a a)(^y.y)))) 5. ==[ beta ]==> ((a a)((a a)(^y.y))) 6. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 37872/2421462. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 37873/2421489. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z) a))) 5. ==[ beta ]==> ((^y.b)((^z.z) a)) 6. ==[ alpha ]==> ((^x.b)((^y.y) a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 37874/2421516. ------ 1. ==[ start ]==> ((a (^b.a))((^c.a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)(a (a a)))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 37875/2421534. ------ 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. ------ 37876/2421588. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(^z.b))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.b))) 5. ==[ beta ]==> ((a a)(a (^y.b))) 6. ==[ alpha ]==> ((a a)(a (^x.b))) REDUCED to normal form. ------ 37877/2421597. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.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. ------ 37878/2421624. ------ 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))((^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. ------ 37879/2421705. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(a a))(^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. ------ 37880/2421867. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(^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. ------ 37881/2421894. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 37882/2421930. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y)(a a))(a a))) 3. ==[ beta ]==> ((a b)(((^y.y)(a a))(a a))) 4. ==[ alpha ]==> ((a b)(((^x.x)(a a))(a a))) 5. ==[ beta ]==> ((a b)((a a)(a a))) REDUCED to normal form. ------ 37883/2421957. ------ 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. ------ 37884/2421984. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(((a a) a) a)) REDUCED to normal form. ------ 37885/2422011. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(a (a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.a))(a (a a))) REDUCED to normal form. ------ 37886/2422038. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a (a a))(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(^z.z))) REDUCED to normal form. ------ 37887/2422065. ------ 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. ------ 37888/2422083. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(c (^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(c (^z.b))) REDUCED to normal form. ------ 37889/2422155. ------ 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. ------ 37890/2422182. ------ 1. ==[ start ]==> (((a (a a))(a a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 37891/2422209. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a) a)(^z.a))) 3. ==[ beta ]==> ((a (^y.y))(((a a) a)(^z.a))) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.a))) REDUCED to normal form. ------ 37892/2422218. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 37893/2422245. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 37894/2422299. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)((a a) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)((a a) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)((a a) a))) 5. ==[ beta ]==> ((^y.y)((^y1.a)((a a) a))) 6. ==[ alpha ]==> ((^x.x)((^y.a)((a a) a))) 7. ==[ beta ]==> ((^y.a)((a a) a)) 8. ==[ alpha ]==> ((^x.a)((a a) a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 37895/2422353. ------ 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. ------ 37896/2422380. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.z))) 5. ==[ beta ]==> ((^y.(a a))(^z.z)) 6. ==[ alpha ]==> ((^x.(a a))(^y.y)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 37897/2422587. ------ 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. ------ 37898/2422614. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.b) b)) 3. ==[ beta ]==> (((^y.y)(a a))((^z.b) b)) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.b) b)) 5. ==[ beta ]==> ((a a)((^y.b) b)) 6. ==[ alpha ]==> ((a a)((^x.b) b)) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 37899/2422731. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(c (^c.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. ------ 37900/2422767. ------ 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. ------ 37901/2422812. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.b)(a a))) 3. ==[ beta ]==> (((a a) a)((^y.b)(a a))) 4. ==[ alpha ]==> (((a a) a)((^x.b)(a a))) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 37902/2422893. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(z z))(a (a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))(a (a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))(a (a a)))) 7. ==[ beta ]==> ((a a)((^y.(y y))(a (a a)))) 8. ==[ alpha ]==> ((a a)((^x.(x x))(a (a a)))) 9. ==[ beta ]==> ((a a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 37903/2422974. ------ 1. ==[ start ]==> ((a (^a.b))((^a.a)(a b))) 2. ==[ alpha ]==> ((a (^x.b))((^y.y)(a b))) 3. ==[ beta ]==> ((a (^x.b))(a b)) REDUCED to normal form. ------ 37904/2422992. ------ 1. ==[ start ]==> (((a a)((a a) a))((a b) a)) REDUCED to normal form. ------ 37905/2423019. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((a a) a) b)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((a a) a) b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a) a) b)) REDUCED to normal form. ------ 37906/2423145. ------ 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. ------ 37907/2423163. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)(^x1.b))) 3. ==[ beta ]==> ((^y.b)((^z.z)(^x1.b))) 4. ==[ alpha ]==> ((^x.b)((^y.y)(^z.b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 37908/2423307. ------ 1. ==[ start ]==> ((((a a) a) b)((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((a (^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a) b)((a (^x.x))(^z.z))) 4. ==[ alpha ]==> ((((a a) a) b)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 37909/2423325. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(b (^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(b (^z.a))) 3. ==[ beta ]==> (b (b (^z.a))) 4. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 37910/2423334. ------ 1. ==[ start ]==> (((a b) a)((a a)((a a) a))) REDUCED to normal form. ------ 37911/2423352. ------ 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. ------ 37912/2423433. ------ 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))((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x) 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. ------ 37913/2423514. ------ 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 ((^y.y)((a a) a))) 4. ==[ alpha ]==> (b ((^x.x)((a a) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 37914/2423541. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(^z.z))) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 37915/2423559. ------ 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. ------ 37916/2423712. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b) 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 ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 37917/2423721. ------ 1. ==[ start ]==> (((a b)(a a))((^b.(^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. ------ 37918/2423784. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(c (^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(c (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(c (^y.(y y)))) 5. ==[ beta ]==> (c (^y.(y y))) 6. ==[ alpha ]==> (c (^x.(x x))) REDUCED to normal form. ------ 37919/2423838. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(a (^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a (^x1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a (^x1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (^y1.a))) 5. ==[ beta ]==> ((^y.y)(a (^y1.a))) 6. ==[ alpha ]==> ((^x.x)(a (^y.a))) 7. ==[ beta ]==> (a (^y.a)) 8. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 37920/2423919. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 37921/2423928. ------ 1. ==[ start ]==> (((a b) b)(c d)) REDUCED to normal form. ------ 37922/2423973. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a a)((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a)((^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. ------ 37923/2424000. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.(^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. ------ 37924/2424054. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.a)(^z1.a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.a)(^z1.a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(^y1.a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(^y1.a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.a))) 9. ==[ beta ]==> ((^y.y)((^z.a)(^x1.a))) 10. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 11. ==[ beta ]==> ((^y.a)(^z.a)) 12. ==[ alpha ]==> ((^x.a)(^y.a)) 13. ==[ beta ]==> a REDUCED to normal form. ------ 37925/2424063. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(c ((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(c ((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(c a)) REDUCED to normal form. ------ 37926/2424090. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(b (a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(b (a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b (a (a a)))) 5. ==[ beta ]==> ((^y.(y y))(b (a (a a)))) 6. ==[ alpha ]==> ((^x.(x x))(b (a (a a)))) 7. ==[ beta ]==> ((b (a (a a)))(b (a (a a)))) REDUCED to normal form. ------ 37927/2424117. ------ 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. ------ 37928/2424144. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a (a a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (a a))(a a))) REDUCED to normal form. ------ 37929/2424171. ------ 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. ------ 37930/2424261. ------ 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. ------ 37931/2424288. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(^x.x))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a (a a))(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 37932/2424315. ------ 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. ------ 37933/2424342. ------ 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)))) 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. ------ 37934/2424369. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (a a)) a)) REDUCED to normal form. ------ 37935/2424396. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((^y.y) a) b)) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a) b)) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a) b)) 5. ==[ beta ]==> (((a a)(a a))(a b)) REDUCED to normal form. ------ 37936/2424459. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^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. ------ 37937/2424594. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 37938/2424603. ------ 1. ==[ start ]==> (((a b) c)(c b)) REDUCED to normal form. ------ 37939/2424630. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(b c)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(b c)) 3. ==[ beta ]==> (((a a) b)(b c)) REDUCED to normal form. ------ 37940/2424675. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 37941/2424702. ------ 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)((^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. ------ 37942/2424711. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(b (a (^z.z)))) REDUCED to normal form. ------ 37943/2424738. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(a ((^z.z) a))) 3. ==[ beta ]==> ((a (^y.b))(a ((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.b))(a ((^y.y) a))) 5. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 37944/2424792. ------ 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. ------ 37945/2424837. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(^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. ------ 37946/2424846. ------ 1. ==[ start ]==> (((a b)(^b.a))(b b)) 2. ==[ alpha ]==> (((a b)(^x.a))(b b)) REDUCED to normal form. ------ 37947/2424900. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(b (a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b (a a))) REDUCED to normal form. ------ 37948/2424936. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 37949/2424963. ------ 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. ------ 37950/2424990. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a a)(^y.y))) 3. ==[ beta ]==> ((a (a b))((a a)(^y.y))) 4. ==[ alpha ]==> ((a (a b))((a a)(^x.x))) REDUCED to normal form. ------ 37951/2425017. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a a) a)) REDUCED to normal form. ------ 37952/2425044. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.y1) a)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1) a)) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) a)) 7. ==[ beta ]==> ((^y.y)((^z.z) a)) 8. ==[ alpha ]==> ((^x.x)((^y.y) a)) 9. ==[ beta ]==> ((^y.y) a) 10. ==[ alpha ]==> ((^x.x) a) 11. ==[ beta ]==> a REDUCED to normal form. ------ 37953/2425070. ------ 1. ==[ start ]==> (^a.(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (^x.(((x x) x)(x (x x)))) REDUCED to normal form. ------ 37954/2425071. ------ 1. ==[ start ]==> (a (((a a) a)(a (a a)))) REDUCED to normal form. ------ 37955/2426784. ------ 1. ==[ start ]==> ((^a.(^a.b))(^c.(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 37956/2428884. ------ 1. ==[ start ]==> ((((a a) a)(a (a a))) a) REDUCED to normal form. ------ 37957/2428890. ------ 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. ------ 37958/2428917. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^x1.x1)(^y1.y1)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 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. ------ 37959/2428944. ------ 1. ==[ start ]==> ((^a.b)((a (a a))((a a) a))) 2. ==[ alpha ]==> ((^x.b)((a (a a))((a a) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 37960/2429025. ------ 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 ]==> (((a a)((a a)(^z.z)))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 37961/2429142. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> (^y.(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> (^x.(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 37962/2429289. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.((a a)(^z.z)))) 3. ==[ beta ]==> ((a a)(^y.((a a)(^z.z)))) 4. ==[ alpha ]==> ((a a)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 37963/2429991. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 37964/2430216. ------ 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. ------ 37965/2430267. ------ 1. ==[ start ]==> ((^a.((a a) a))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(((a a) a)(a (^y.y)))) 3. ==[ beta ]==> (((((a a) a)(a (^y.y)))(((a a) a)(a (^y.y))))(((a a) a)(a (^y.y)))) 4. ==[ alpha ]==> (((((a a) a)(a (^x.x)))(((a a) a)(a (^y.y))))(((a a) a)(a (^z.z)))) REDUCED to normal form. ------ 37966/2430423. ------ 1. ==[ start ]==> ((((a a) a) a)(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.(x x)))) REDUCED to normal form. ------ 37967/2430600. ------ 1. ==[ start ]==> ((^a.(^a.b))((a a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.b))((a a)(^z.b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 37968/2430603. ------ 1. ==[ start ]==> ((a (^a.b))(^c.(^a.b))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(^z.b))) REDUCED to normal form. ------ 37969/2430780. ------ 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. ------ 37970/2430990. ------ 1. ==[ start ]==> (((a a)(^a.b))(^a.(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.b))) REDUCED to normal form. ------ 37971/2431143. ------ 1. ==[ start ]==> (((^a.b)(a a))(^c.(^c.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. ------ 37972/2431152. ------ 1. ==[ start ]==> (((a b)(^a.a))(^b.((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.((a a) a))) REDUCED to normal form. ------ 37973/2431167. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((a a) a) a)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((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))) REDUCED to normal form. ------ 37974/2431323. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.((y y) y))) REDUCED to normal form. ------ 37975/2431374. ------ 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. ------ 37976/2431611. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 37977/2431746. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 37978/2431863. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^c.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(a (a a)))) REDUCED to normal form. ------ 37979/2431989. ------ 1. ==[ start ]==> (((^a.b) c)(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(a (a a)))) 3. ==[ beta ]==> (b (^y.(a (a a)))) 4. ==[ alpha ]==> (b (^x.(a (a a)))) REDUCED to normal form. ------ 37980/2432088. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^c.d)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^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. ------ 37981/2432286. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^y.a)) REDUCED to normal form. ------ 37982/2432367. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(^x1.a))) 3. ==[ beta ]==> ((a (^y.b))(^z.(^x1.a))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.a))) REDUCED to normal form. ------ 37983/2432448. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(^z.y))) REDUCED to normal form. ------ 37984/2432502. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 37985/2432565. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(y (^z.z)))) REDUCED to normal form. ------ 37986/2432646. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(^a.b)) 2. ==[ alpha ]==> (((a (a a))((a a) a))(^x.b)) REDUCED to normal form. ------ 37987/2432673. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(y1 y1))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(y1 y1))) 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. ------ 37988/2432700. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(^a.a)) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 37989/2432712. ------ 1. ==[ start ]==> ((a a)(((a a) a)(a (a a)))) REDUCED to normal form. ------ 37990/2432739. ------ 1. ==[ start ]==> ((a (a a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a a))((^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. ------ 37991/2432766. ------ 1. ==[ start ]==> ((a b)((a (a a))((a a) a))) REDUCED to normal form. ------ 37992/2432811. ------ 1. ==[ start ]==> (((^a.a) b)(c (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)(c (^y.(a a)))) 3. ==[ beta ]==> (b (c (^y.(a a)))) 4. ==[ alpha ]==> (b (c (^x.(a a)))) REDUCED to normal form. ------ 37993/2432820. ------ 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. ------ 37994/2432838. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 37995/2432847. ------ 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. ------ 37996/2432883. ------ 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)(((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. ------ 37997/2432910. ------ 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 (^x.x))((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 37998/2432919. ------ 1. ==[ start ]==> (((a a)(^a.(^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 a)) REDUCED to normal form. ------ 37999/2432937. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a b)(^b.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. ------ 38000/2432946. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 38001/2432964. ------ 1. ==[ start ]==> ((a (^b.a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 38002/2433000. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 38003/2433045. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> ((^y.a)(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> ((^x.a)(((^y.y) a)(^z.b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 38004/2433072. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(a a))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 38005/2433081. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 38006/2433108. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.a)((a a)(^a.a)))) 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)))) 5. ==[ beta ]==> ((a a)((a a)(^y.y))) 6. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 38007/2433126. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a)(^z.z)) a)) 3. ==[ beta ]==> (((^y.y) a)(((a a)(^z.z)) a)) 4. ==[ alpha ]==> (((^x.x) a)(((a a)(^y.y)) a)) 5. ==[ beta ]==> (a (((a a)(^y.y)) a)) 6. ==[ alpha ]==> (a (((a a)(^x.x)) a)) REDUCED to normal form. ------ 38008/2433135. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.(^a.a))(^a.a))) 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. ------ 38009/2433153. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^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. ------ 38010/2433162. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 38011/2433189. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.b)(^b.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. ------ 38012/2433297. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.a)(^z.b))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.b))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.b))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 38013/2433396. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(a a)) b)) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(a a)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a)) b)) 5. ==[ beta ]==> ((^y.y)((^z.(a a)) b)) 6. ==[ alpha ]==> ((^x.x)((^y.(a a)) b)) 7. ==[ beta ]==> ((^y.(a a)) b) 8. ==[ alpha ]==> ((^x.(a a)) b) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 38014/2433423. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.b) c)) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.b) c)) 3. ==[ beta ]==> ((a (a a))((^y.b) c)) 4. ==[ alpha ]==> ((a (a a))((^x.b) c)) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 38015/2433549. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(a (a a)))((a (^x.x))(a b))) REDUCED to normal form. ------ 38016/2433576. ------ 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. ------ 38017/2433621. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(a a))(a a))) 3. ==[ beta ]==> ((b b)((^y.(a a))(a a))) 4. ==[ alpha ]==> ((b b)((^x.(a a))(a a))) 5. ==[ beta ]==> ((b b)(a a)) REDUCED to normal form. ------ 38018/2433666. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)(^x1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^x1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 38019/2433693. ------ 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)(^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. ------ 38020/2433756. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.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. ------ 38021/2433783. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(^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. ------ 38022/2433801. ------ 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. ------ 38023/2433810. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^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. ------ 38024/2433828. ------ 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)(((^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. ------ 38025/2433837. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 38026/2433864. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 38027/2433918. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 38028/2434008. ------ 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. ------ 38029/2434035. ------ 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. ------ 38030/2434062. ------ 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. ------ 38031/2434089. ------ 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. ------ 38032/2434215. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(b (^z.b))) 3. ==[ beta ]==> (((^y.y) b)(b (^z.b))) 4. ==[ alpha ]==> (((^x.x) b)(b (^y.b))) 5. ==[ beta ]==> (b (b (^y.b))) 6. ==[ alpha ]==> (b (b (^x.b))) REDUCED to normal form. ------ 38033/2434242. ------ 1. ==[ start ]==> ((((a a) a) a)(a (^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)(a (^x.(a a)))) REDUCED to normal form. ------ 38034/2434260. ------ 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. ------ 38035/2434287. ------ 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. ------ 38036/2434296. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 38037/2434323. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 38038/2434341. ------ 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.(z z)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (a a))(^z.(z z)))) 5. ==[ beta ]==> ((a ((^y.y) a))((a (a a))(^z.(z z)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a (a a))(^y.(y y)))) 7. ==[ beta ]==> ((a a)((a (a a))(^y.(y y)))) 8. ==[ alpha ]==> ((a a)((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 38039/2434350. ------ 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. ------ 38040/2434377. ------ 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)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 38041/2434404. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 38042/2434422. ------ 1. ==[ start ]==> ((a (^a.b))((a a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.b))((a a)(^y.b))) REDUCED to normal form. ------ 38043/2434593. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(^a.a))(^c.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. ------ 38044/2434602. ------ 1. ==[ start ]==> ((a (a b))(b ((a a) a))) REDUCED to normal form. ------ 38045/2434692. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1)) c)) IRREDUCIBLE: cycle. ------ 38046/2434755. ------ 1. ==[ start ]==> ((((a a) a) b)(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(c (^x.(^y.y)))) REDUCED to normal form. ------ 38047/2434782. ------ 1. ==[ start ]==> (((a b) a)(b (^c.a))) 2. ==[ alpha ]==> (((a b) a)(b (^x.a))) REDUCED to normal form. ------ 38048/2434809. ------ 1. ==[ start ]==> (((a a)(^a.b))(a (^a.b))) 2. ==[ alpha ]==> (((a a)(^x.b))(a (^y.b))) REDUCED to normal form. ------ 38049/2434827. ------ 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)(^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. ------ 38050/2434863. ------ 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 (^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. ------ 38051/2434881. ------ 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. ------ 38052/2434890. ------ 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))((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((a (a a))(^x.(x x)))(a ((^z.z) a))) 6. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a ((^y.y) a))) 7. ==[ beta ]==> (((a (a a))(^x.(x x)))(a a)) REDUCED to normal form. ------ 38053/2434917. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(a (a a)))) 5. ==[ beta ]==> ((^y.a)((^z.a)(a (a a)))) 6. ==[ alpha ]==> ((^x.a)((^y.a)(a (a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 38054/2434944. ------ 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. ------ 38055/2434962. ------ 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)(^y.a))) 4. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 38056/2434971. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.y)((a a) a))) 3. ==[ beta ]==> (((a b)(^x.x))((a a) a)) REDUCED to normal form. ------ 38057/2434989. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((a a) a) a)) 2. ==[ alpha ]==> ((a (^x.(a a)))(((a a) a) a)) REDUCED to normal form. ------ 38058/2435115. ------ 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. ------ 38059/2435142. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(a ((a a) a))) REDUCED to normal form. ------ 38060/2435169. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x)(^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. ------ 38061/2435196. ------ 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. ------ 38062/2435205. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(z z)) c)) 3. ==[ beta ]==> ((^y.(a a))((^z.(z z)) c)) 4. ==[ alpha ]==> ((^x.(a a))((^y.(y y)) c)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 38063/2435367. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 38064/2435376. ------ 1. ==[ start ]==> (((a b) b)((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b) b)((^x.a)((^y.y) a))) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 38065/2435403. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 38066/2435421. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a a)(^b.(^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. ------ 38067/2435430. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 38068/2435448. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z)) a)) 5. ==[ beta ]==> (((^y.y)(^z.z)) a) 6. ==[ alpha ]==> (((^x.x)(^y.y)) a) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 38069/2435457. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.(^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. ------ 38070/2435511. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 38071/2435538. ------ 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.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.(x1 x1)))((^y.(^z.z))(^x1.(x1 x1)))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(z1 z1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 38072/2435565. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 38073/2435583. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 38074/2435655. ------ 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)(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. ------ 38075/2435682. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a a)(a (a a)))) REDUCED to normal form. ------ 38076/2435808. ------ 1. ==[ start ]==> (((^a.b) c)((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 38077/2436042. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 38078/2436051. ------ 1. ==[ start ]==> (((a b) c)((^b.a)(a a))) 2. ==[ alpha ]==> (((a b) c)((^x.a)(a a))) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 38079/2436078. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 38080/2436105. ------ 1. ==[ start ]==> ((((a a)(^a.a)) 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)((^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. ------ 38081/2436123. ------ 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)(^x.x))(a a)) REDUCED to normal form. ------ 38082/2436150. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a (^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.x)((a (^y.y)) b)) 5. ==[ beta ]==> ((a (^y.y)) b) 6. ==[ alpha ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 38083/2436159. ------ 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)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 38084/2436186. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((a (^y.b))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.a))) 5. ==[ beta ]==> ((a (^x.b))(^z.a)) 6. ==[ alpha ]==> ((a (^x.b))(^y.a)) REDUCED to normal form. ------ 38085/2436204. ------ 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)((a a) a))((^y.a) a)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.a) a)) 5. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 38086/2436240. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(b (^a.(^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. ------ 38087/2436267. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(a (^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(a (^y.a))) REDUCED to normal form. ------ 38088/2436285. ------ 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 ((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 38089/2436294. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 38090/2436321. ------ 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 (^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. ------ 38091/2436348. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))(^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. ------ 38092/2436384. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(a (a (^y.y)))) REDUCED to normal form. ------ 38093/2436411. ------ 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 (^x.x))(a a))((a a)(a a))) REDUCED to normal form. ------ 38094/2436438. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(b a)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(b a)) 3. ==[ beta ]==> ((a (a b))(b a)) REDUCED to normal form. ------ 38095/2436465. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(a b)) REDUCED to normal form. ------ 38096/2436492. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(a (a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(a (a a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(a (a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a (a a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a (a a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a (a a))) 7. ==[ beta ]==> ((^y.y)(a (a a))) 8. ==[ alpha ]==> ((^x.x)(a (a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 38097/2436519. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(a a)) REDUCED to normal form. ------ 38098/2440341. ------ 1. ==[ start ]==> ((((a a) a)(a (a a))) b) REDUCED to normal form. ------ 38099/2440365. ------ 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. ------ 38100/2440446. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 38101/2440491. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (^z.(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 38102/2440680. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(z z))((a a) a))) 3. ==[ eta ]==> ((^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. ------ 38103/2440950. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.a)(^z.b))) 3. ==[ beta ]==> (((^y.a)(^z.b))(((^y.a)(^z.b))((^y.a)(^z.b)))) 4. ==[ alpha ]==> (((^x.a)(^y.b))(((^z.a)(^x1.b))((^y1.a)(^z1.b)))) 5. ==[ beta ]==> (a (((^z.a)(^x1.b))((^y1.a)(^z1.b)))) 6. ==[ alpha ]==> (a (((^x.a)(^y.b))((^z.a)(^x1.b)))) 7. ==[ beta ]==> (a (a ((^z.a)(^x1.b)))) 8. ==[ alpha ]==> (a (a ((^x.a)(^y.b)))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 38104/2441175. ------ 1. ==[ start ]==> ((^a.(^b.(^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. ------ 38105/2441301. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.b)(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. ------ 38106/2441457. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 38107/2441682. ------ 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. ------ 38108/2442087. ------ 1. ==[ start ]==> (((a a)((a a) a))(^b.(a b))) 2. ==[ alpha ]==> (((a a)((a a) a))(^x.(a x))) 3. ==[ eta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 38109/2442246. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(^a.a))(^c.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. ------ 38110/2442447. ------ 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))) REDUCED to normal form. ------ 38111/2442618. ------ 1. ==[ start ]==> (((a b)(^a.a))(^c.(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 38112/2442789. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(^z.a))) REDUCED to normal form. ------ 38113/2442933. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)(^y1.((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 38114/2443077. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 38115/2443230. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^a.((^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 (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 38116/2443356. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(^a.(^b.(^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. ------ 38117/2443455. ------ 1. ==[ start ]==> (((^a.b) c)(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(^z.(z z)))) 3. ==[ beta ]==> (b (^y.(^z.(z z)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 38118/2443464. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(a (a a)))) REDUCED to normal form. ------ 38119/2443515. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^z.a)(^x1.(^y1.y1)))((^z.a)(^x1.(^y1.y1))))(^y.y)) 4. ==[ alpha ]==> ((((^x.a)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1))))(^x2.x2)) 5. ==[ beta ]==> ((a ((^x1.a)(^y1.(^z1.z1))))(^x2.x2)) 6. ==[ alpha ]==> ((a ((^x.a)(^y.(^z.z))))(^x1.x1)) 7. ==[ beta ]==> ((a a)(^x1.x1)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 38120/2443833. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^c.c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.z)) 3. ==[ beta ]==> ((a (^y.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 38121/2443851. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.((^z.z) y))) 3. ==[ eta ]==> (((^x.(x x))((a a) a))(^z.z)) 4. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.y)) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 38122/2443914. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^b.c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.c)) REDUCED to normal form. ------ 38123/2444031. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 38124/2444085. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^a.(^a.(^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. ------ 38125/2444112. ------ 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. ------ 38126/2444139. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.z1))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 38127/2444166. ------ 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. ------ 38128/2444196. ------ 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. ------ 38129/2444223. ------ 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)(^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. ------ 38130/2444250. ------ 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. ------ 38131/2444277. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(a b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a (a b))) REDUCED to normal form. ------ 38132/2444322. ------ 1. ==[ start ]==> ((a (a (^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 38133/2444331. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)((a a)(^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 38134/2444367. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 38135/2444394. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a))(^x1.(^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. ------ 38136/2444421. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b)(^z.a))) REDUCED to normal form. ------ 38137/2444475. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 38138/2444484. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 38139/2444511. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))((a a) a))) 3. ==[ beta ]==> ((a a)((^y.(y y))((a a) a))) 4. ==[ alpha ]==> ((a a)((^x.(x x))((a a) a))) 5. ==[ beta ]==> ((a a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 38140/2444556. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 38141/2444610. ------ 1. ==[ start ]==> (((a a)(^b.a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.a))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 38142/2444637. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(a a)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a) b)) REDUCED to normal form. ------ 38143/2444664. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a b) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a b) c)) 3. ==[ beta ]==> ((a (^y.y))((a b) c)) 4. ==[ alpha ]==> ((a (^x.x))((a b) c)) REDUCED to normal form. ------ 38144/2444727. ------ 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.(^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. ------ 38145/2444781. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.a)(^y.b))) 3. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 38146/2444817. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(b ((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y)(a a)))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 38147/2444853. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a) 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. ------ 38148/2444871. ------ 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 ]==> (((^y.y)(^y.y))(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(a a))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(a a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a a))) 7. ==[ beta ]==> (((^y.y)(a a))(a a)) 8. ==[ alpha ]==> (((^x.x)(a a))(a a)) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 38149/2444880. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(a a)) b)) 3. ==[ beta ]==> (((a (a a)) a)(a a)) REDUCED to normal form. ------ 38150/2444898. ------ 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. ------ 38151/2444907. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.b) c)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.b) c)) 3. ==[ beta ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 38152/2444925. ------ 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) 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. ------ 38153/2444934. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.a) d)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a) d)) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 38154/2444979. ------ 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))((^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. ------ 38155/2445006. ------ 1. ==[ start ]==> ((a (^b.(^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. ------ 38156/2445051. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(b (^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(b (^z.(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(b (^y.(a a)))) REDUCED to normal form. ------ 38157/2445096. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> ((b b)(((^y.y)(a a))(^z.z))) 4. ==[ alpha ]==> ((b b)(((^x.x)(a a))(^y.y))) 5. ==[ beta ]==> ((b b)((a a)(^y.y))) 6. ==[ alpha ]==> ((b b)((a a)(^x.x))) REDUCED to normal form. ------ 38158/2445105. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(a a))(a a))) 3. ==[ beta ]==> (((a (a a))(a a))(a a)) REDUCED to normal form. ------ 38159/2445132. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 38160/2445231. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x) 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. ------ 38161/2445258. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a (^z.z))(^x1.b))) 3. ==[ beta ]==> (((^y.y) a)((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> (((^x.x) a)((a (^y.y))(^z.b))) 5. ==[ beta ]==> (a ((a (^y.y))(^z.b))) 6. ==[ alpha ]==> (a ((a (^x.x))(^y.b))) REDUCED to normal form. ------ 38162/2445285. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.(a a)))) REDUCED to normal form. ------ 38163/2445312. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z)(a a)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a a) a)) REDUCED to normal form. ------ 38164/2445339. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a b) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a b) b)) 3. ==[ beta ]==> ((a (^y.a))((a b) b)) 4. ==[ alpha ]==> ((a (^x.a))((a b) b)) REDUCED to normal form. ------ 38165/2445429. ------ 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)(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.(^x1.x1))(^z.(^x1.x1)))) 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. ------ 38166/2445456. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) a) REDUCED to normal form. ------ 38167/2445483. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.(^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. ------ 38168/2445510. ------ 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. ------ 38169/2445600. ------ 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)(^z1.z1))((^x2.x2) a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))((^x2.x2) 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. ------ 38170/2445654. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z) a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (a (((^z.z) a)((^x1.x1)(^y1.y1)))) 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. ------ 38171/2445771. ------ 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. ------ 38172/2445798. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (^x.(x x)))((^z.z)(^x1.a))) 6. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(^z.a))) 7. ==[ beta ]==> ((a (^x.(x x)))(^z.a)) 8. ==[ alpha ]==> ((a (^x.(x x)))(^y.a)) REDUCED to normal form. ------ 38173/2445825. ------ 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. ------ 38174/2445852. ------ 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) 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. ------ 38175/2445915. ------ 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. ------ 38176/2445942. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.b)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 38177/2445996. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.(^a.a))(^b.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. ------ 38178/2446023. ------ 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 x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(x1 x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.(z z)))) 7. ==[ beta ]==> ((a (^x.x))((^z.(z z))(^z.(z z)))) 8. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 38179/2446050. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 38180/2446077. ------ 1. ==[ start ]==> ((a (a b))((^a.(^a.a))(^c.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. ------ 38181/2446086. ------ 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. ------ 38182/2446167. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) IRREDUCIBLE: cycle. ------ 38183/2446248. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((a (^x.x))(^z.z))) 6. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 38184/2446275. ------ 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. ------ 38185/2446338. ------ 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))(^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. ------ 38186/2446365. ------ 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. ------ 38187/2446392. ------ 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.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.a)(((^z.z) a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.a)(((^y.y) a)(^z.(z z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 38188/2446419. ------ 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. ------ 38189/2446446. ------ 1. ==[ start ]==> (((a b)(^a.a))((a a)(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 38190/2446482. ------ 1. ==[ start ]==> (((a a)(a b))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.a)(^y.y))) 3. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 38191/2446509. ------ 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))(^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. ------ 38192/2446536. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.a))) 7. ==[ beta ]==> ((a (^x.x))((^z.a)(^z.a))) 8. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.a))) 9. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 38193/2446563. ------ 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. ------ 38194/2446590. ------ 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.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (a ((^y.(^z.z))(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 38195/2446635. ------ 1. ==[ start ]==> (((^a.b) b)((^c.a) a)) 2. ==[ alpha ]==> (((^x.b) b)((^y.a) a)) 3. ==[ beta ]==> (b ((^y.a) a)) 4. ==[ alpha ]==> (b ((^x.a) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 38196/2446680. ------ 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. ------ 38197/2446707. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1) a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)((^y1.y1) 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. ------ 38198/2446761. ------ 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))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 38199/2446851. ------ 1. ==[ start ]==> (((a b) b)(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a b) b)(((^x.x) a)(^y.a))) 3. ==[ beta ]==> (((a b) b)(a (^y.a))) 4. ==[ alpha ]==> (((a b) b)(a (^x.a))) REDUCED to normal form. ------ 38200/2446878. ------ 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. ------ 38201/2446905. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 38202/2446932. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((^x1.x1) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z) a)) 5. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 38203/2446986. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((^a.a) a) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z) a) c)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a c)) REDUCED to normal form. ------ 38204/2447058. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(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. ------ 38205/2447067. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 38206/2447094. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(z z)) b)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z)) b)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y)) b)) 5. ==[ beta ]==> (((a a)(^x.x))(b b)) REDUCED to normal form. ------ 38207/2447157. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(b (^y.(y y)))) REDUCED to normal form. ------ 38208/2447184. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(a (^b.(^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. ------ 38209/2447211. ------ 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))(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. ------ 38210/2447238. ------ 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) REDUCED to normal form. ------ 38211/2447265. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((((a a) a) a)(^y.y)) 6. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 38212/2447283. ------ 1. ==[ start ]==> (((^a.b) c)((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)((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. ------ 38213/2447292. ------ 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 (^x.x)))(a (a a))) REDUCED to normal form. ------ 38214/2447319. ------ 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))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)(^y.y))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.y))) 7. ==[ beta ]==> (((a a)(a a))(^y.y)) 8. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 38215/2447346. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.a)(^a.(^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. ------ 38216/2447382. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(b ((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(b ((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y) a))) 5. ==[ beta ]==> (b ((^y.y) a)) 6. ==[ alpha ]==> (b ((^x.x) a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 38217/2447526. ------ 1. ==[ start ]==> (((a b) c)(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a b) c)(((^x.x) a)(^y.y))) 3. ==[ beta ]==> (((a b) c)(a (^y.y))) 4. ==[ alpha ]==> (((a b) c)(a (^x.x))) REDUCED to normal form. ------ 38218/2447553. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 38219/2447580. ------ 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. ------ 38220/2447634. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (^z.z)) b)) REDUCED to normal form. ------ 38221/2447661. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a a) c)) 3. ==[ beta ]==> ((a (^y.b))((a a) c)) 4. ==[ alpha ]==> ((a (^x.b))((a a) c)) REDUCED to normal form. ------ 38222/2447679. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(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. ------ 38223/2447715. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1)) b)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) b)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 38224/2447760. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(c a)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(c a)) 3. ==[ beta ]==> (b (c a)) REDUCED to normal form. ------ 38225/2447769. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 38226/2447796. ------ 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.(^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. ------ 38227/2447823. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (^z.z)) a)) REDUCED to normal form. ------ 38228/2447859. ------ 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)))) 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. ------ 38229/2447886. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(b (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(b (^z.z))) 3. ==[ beta ]==> (((a (^x.x))(a a))(b (^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(b (^y.y))) REDUCED to normal form. ------ 38230/2447913. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(a (^a.(^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. ------ 38231/2447940. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.a)(a a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.x)(a a))) 3. ==[ beta ]==> (((a (a a))((a a) a))(a a)) REDUCED to normal form. ------ 38232/2447967. ------ 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)(^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. ------ 38233/2447994. ------ 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. ------ 38234/2450292. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.((a a) a))) 3. ==[ beta ]==> (^y.((^z.((a a) a))(^z.((a a) a)))) 4. ==[ alpha ]==> (^x.((^y.((a a) a))(^z.((a a) a)))) 5. ==[ beta ]==> (^x.((a a) a)) REDUCED to normal form. ------ 38235/2452005. ------ 1. ==[ start ]==> (((a a) b)(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 38236/2452101. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (^y.((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> (^x.((^y.b)((^z.z) a))) 5. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 38237/2452266. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.((a a)(^z.z)))) 5. ==[ beta ]==> (a (^y.((a a)(^z.z)))) 6. ==[ alpha ]==> (a (^x.((a a)(^y.y)))) REDUCED to normal form. ------ 38238/2452344. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.b)(^b.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. ------ 38239/2452518. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.((y y)(^z.z)))) 3. ==[ beta ]==> ((a b)(^y.((y y)(^z.z)))) 4. ==[ alpha ]==> ((a b)(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 38240/2452794. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a b)(^a.(^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. ------ 38241/2452968. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (^y.((^z.z)(a a))) 6. ==[ alpha ]==> (^x.((^y.y)(a a))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 38242/2453226. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.b) b)) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.b) b)) 3. ==[ beta ]==> ((((^y.b) b)((^y.b) b))((^y.b) b)) 4. ==[ alpha ]==> ((((^x.b) b)((^y.b) b))((^z.b) b)) 5. ==[ beta ]==> ((b ((^y.b) b))((^z.b) b)) 6. ==[ alpha ]==> ((b ((^x.b) b))((^y.b) b)) 7. ==[ beta ]==> ((b b)((^y.b) b)) 8. ==[ alpha ]==> ((b b)((^x.b) b)) 9. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 38243/2453400. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(^z.(y y)))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.(y y)))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.(x x)))) REDUCED to normal form. ------ 38244/2453559. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 38245/2453949. ------ 1. ==[ start ]==> (((a a)(^a.b))(^c.((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.((a a) a))) REDUCED to normal form. ------ 38246/2453967. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) 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. ------ 38247/2454126. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.z)((a a) a))) 3. ==[ beta ]==> (^y.(((^z.z)((a a) a))((^z.z)((a a) a)))) 4. ==[ alpha ]==> (^x.(((^y.y)((a a) a))((^z.z)((a a) a)))) 5. ==[ beta ]==> (^x.(((a a) a)((^z.z)((a a) a)))) 6. ==[ alpha ]==> (^x.(((a a) a)((^y.y)((a a) a)))) 7. ==[ beta ]==> (^x.(((a a) a)((a a) a))) REDUCED to normal form. ------ 38248/2454129. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.((a a) a))) REDUCED to normal form. ------ 38249/2454300. ------ 1. ==[ start ]==> (((^a.b) b)(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.b) b)(^y.((y y) y))) 3. ==[ beta ]==> (b (^y.((y y) y))) 4. ==[ alpha ]==> (b (^x.((x x) x))) REDUCED to normal form. ------ 38250/2454333. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1)) b)((^z.(^x1.x1)) b))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z)) b)((^x1.(^y1.y1)) b))) 5. ==[ beta ]==> (((^y.(^z.z)) b)((^x1.(^y1.y1)) b)) 6. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1)) b)) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) b)) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 9. ==[ beta ]==> ((^y.(^z.z)) b) 10. ==[ alpha ]==> ((^x.(^y.y)) b) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 38251/2454588. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^b.((^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 ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 38252/2454723. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^b.(^b.(^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. ------ 38253/2454732. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 38254/2454948. ------ 1. ==[ start ]==> (((^a.b) c)(^d.d)) 2. ==[ alpha ]==> (((^x.b) c)(^y.y)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 38255/2454957. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 38256/2455008. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z) a) b)) 3. ==[ beta ]==> (((((^z.z) a) b)(((^z.z) a) b))(^y.y)) 4. ==[ alpha ]==> (((((^x.x) a) b)(((^y.y) a) b))(^z.z)) 5. ==[ beta ]==> (((a b)(((^y.y) a) b))(^z.z)) 6. ==[ alpha ]==> (((a b)(((^x.x) a) b))(^y.y)) 7. ==[ beta ]==> (((a b)(a b))(^y.y)) 8. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 38257/2455182. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 38258/2455263. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 38259/2455344. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.(^z.a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.(^z.a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(^y.a))) REDUCED to normal form. ------ 38260/2455425. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(^x1.z))) 3. ==[ beta ]==> (b (^z.(^x1.z))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 38261/2455578. ------ 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. ------ 38262/2455659. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(^b.a)) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.a)) REDUCED to normal form. ------ 38263/2455707. ------ 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. ------ 38264/2455734. ------ 1. ==[ start ]==> (((a a) a)(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)((^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. ------ 38265/2455761. ------ 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. ------ 38266/2455788. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)(a b))) 3. ==[ beta ]==> (b (((^y.y) a)(a b))) 4. ==[ alpha ]==> (b (((^x.x) a)(a b))) 5. ==[ beta ]==> (b (a (a b))) REDUCED to normal form. ------ 38267/2455815. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(a a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(a a))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 38268/2455833. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(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. ------ 38269/2455842. ------ 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. ------ 38270/2455914. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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 a) REDUCED to normal form. ------ 38271/2455941. ------ 1. ==[ start ]==> ((a (^b.a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.b)((^z.z) a))) 3. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 38272/2455959. ------ 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. ------ 38273/2455986. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^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. ------ 38274/2456022. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))((a a) a))) 3. ==[ beta ]==> ((^y.a)((^z.(z z))((a a) a))) 4. ==[ alpha ]==> ((^x.a)((^y.(y y))((a a) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 38275/2456049. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(a b))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a b))) 5. ==[ beta ]==> ((^y.a)(a b)) 6. ==[ alpha ]==> ((^x.a)(a b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 38276/2456103. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) 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)))) 7. ==[ beta ]==> (a ((a a)(^y.y))) 8. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 38277/2456184. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.b)(^z.a))) 3. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 38278/2456292. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((^y.(y y))((^z.a)(^x1.b))) 4. ==[ alpha ]==> ((^x.(x x))((^y.a)(^z.b))) 5. ==[ beta ]==> (((^y.a)(^z.b))((^y.a)(^z.b))) 6. ==[ alpha ]==> (((^x.a)(^y.b))((^z.a)(^x1.b))) 7. ==[ beta ]==> (a ((^z.a)(^x1.b))) 8. ==[ alpha ]==> (a ((^x.a)(^y.b))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 38279/2456319. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(^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. ------ 38280/2456355. ------ 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. ------ 38281/2456382. ------ 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. ------ 38282/2456409. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a b)(a (^y.y)))) REDUCED to normal form. ------ 38283/2456436. ------ 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))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(((a a) a) a)) REDUCED to normal form. ------ 38284/2456463. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(a (a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(a (a a)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(a (a a)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 38285/2456490. ------ 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. ------ 38286/2456607. ------ 1. ==[ start ]==> (((a (a a))(a a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a a))(((^x.x)(a a))(^y.y))) 3. ==[ beta ]==> (((a (a a))(a a))((a a)(^y.y))) 4. ==[ alpha ]==> (((a (a a))(a a))((a a)(^x.x))) REDUCED to normal form. ------ 38287/2456634. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a b)(^a.(^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. ------ 38288/2456643. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 38289/2456724. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.z))) 9. ==[ beta ]==> (((^y.y)(^z.z))((^y.y)(^z.z))) 10. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 11. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 12. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 13. ==[ beta ]==> ((^y.y)(^z.z)) 14. ==[ alpha ]==> ((^x.x)(^y.y)) 15. ==[ beta ]==> (^y.y) 16. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 38290/2456778. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(^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. ------ 38291/2456805. ------ 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.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. ------ 38292/2456859. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 38293/2457039. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(a a)) a)) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(a a)) a)) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a)) a)) 5. ==[ beta ]==> ((a a)((^y.(a a)) a)) 6. ==[ alpha ]==> ((a a)((^x.(a a)) a)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 38294/2457066. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.b) b)) 2. ==[ alpha ]==> ((a ((a a) a))((^x.b) b)) 3. ==[ beta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 38295/2457192. ------ 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. ------ 38296/2457219. ------ 1. ==[ start ]==> ((((a a) a) a)((a a)(a b))) REDUCED to normal form. ------ 38297/2457237. ------ 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. ------ 38298/2457264. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.b)(a a))) 3. ==[ beta ]==> ((^y.y)((^y1.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. ------ 38299/2457318. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> ((a 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. ------ 38300/2457399. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 38301/2457417. ------ 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. ------ 38302/2457444. ------ 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))(^z.z))((a b) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b) a)) REDUCED to normal form. ------ 38303/2457471. ------ 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. ------ 38304/2457570. ------ 1. ==[ start ]==> (((^a.b) a)(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 38305/2457588. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(^a.a))(^c.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. ------ 38306/2457732. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x) a)(a (a a)))) 3. ==[ beta ]==> ((((a a) a) b)(a (a (a a)))) REDUCED to normal form. ------ 38307/2457750. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(c (^b.(^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. ------ 38308/2457759. ------ 1. ==[ start ]==> (((a b) a)((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((a (^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b) a)((a (^x.x))(^z.z))) 4. ==[ alpha ]==> (((a b) a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 38309/2457777. ------ 1. ==[ start ]==> (((^a.a)(a b))(b (^c.a))) 2. ==[ alpha ]==> (((^x.x)(a b))(b (^y.a))) 3. ==[ beta ]==> ((a b)(b (^y.a))) 4. ==[ alpha ]==> ((a b)(b (^x.a))) REDUCED to normal form. ------ 38310/2457786. ------ 1. ==[ start ]==> (((a a)(^a.b))((a a)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))((a a)((a a) a))) REDUCED to normal form. ------ 38311/2457804. ------ 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 (^z.b))) 4. ==[ alpha ]==> ((^x.x)(a (^y.b))) 5. ==[ beta ]==> (a (^y.b)) 6. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 38312/2457858. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))(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. ------ 38313/2457939. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 38314/2457966. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)((a a) a))) 3. ==[ beta ]==> ((a (^x.(a a)))((a a) a)) REDUCED to normal form. ------ 38315/2457984. ------ 1. ==[ start ]==> (((a a)(a b))(((a a) a) a)) REDUCED to normal form. ------ 38316/2458011. ------ 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. ------ 38317/2458137. ------ 1. ==[ start ]==> (((^a.b) b)(a ((a a) a))) 2. ==[ alpha ]==> (((^x.b) b)(a ((a a) a))) 3. ==[ beta ]==> (b (a ((a a) a))) REDUCED to normal form. ------ 38318/2458146. ------ 1. ==[ start ]==> (((a b)(a a))((^c.a) a)) 2. ==[ alpha ]==> (((a b)(a a))((^x.a) a)) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 38319/2458173. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.(^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)) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 38320/2458263. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(b (^b.(^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. ------ 38321/2458344. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 38322/2458398. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(a (a a)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(a (a a)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 38323/2458425. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 38324/2458479. ------ 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))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(^y1.y1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 11. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 12. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 13. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 14. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 15. ==[ beta ]==> (^y.y) 16. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 38325/2458542. ------ 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. ------ 38326/2458560. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 38327/2458569. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 38328/2458596. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a (a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a (a a))(a a))) 3. ==[ beta ]==> (((a a)(^y.y))((a (a a))(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(a a))) REDUCED to normal form. ------ 38329/2458632. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.a) c)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.a) c)) 3. ==[ beta ]==> (((a a)(a a))((^y.a) c)) 4. ==[ alpha ]==> (((a a)(a a))((^x.a) c)) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 38330/2458713. ------ 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. ------ 38331/2458740. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))(((^y.y) a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))(((^x.x) a)(^y.(^z.z)))) 7. ==[ beta ]==> ((a (a a))(a (^y.(^z.z)))) 8. ==[ alpha ]==> ((a (a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 38332/2458767. ------ 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))) 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. ------ 38333/2458785. ------ 1. ==[ start ]==> (((^a.b) c)(b d)) 2. ==[ alpha ]==> (((^x.b) c)(b d)) 3. ==[ beta ]==> (b (b d)) REDUCED to normal form. ------ 38334/2458794. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 38335/2458821. ------ 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. ------ 38336/2458848. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y) a) b)) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(a b)) REDUCED to normal form. ------ 38337/2458884. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(^a.a))(^b.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. ------ 38338/2459019. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 38339/2459028. ------ 1. ==[ start ]==> (((a b) c)(d a)) REDUCED to normal form. ------ 38340/2459055. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(c b)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(c b)) 3. ==[ beta ]==> (((a a) b)(c b)) REDUCED to normal form. ------ 38341/2459082. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(b c)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(b c)) REDUCED to normal form. ------ 38342/2459100. ------ 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)(^x.x))((^z.z) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 38343/2459127. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^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. ------ 38344/2459136. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(c (a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(c (a a))) REDUCED to normal form. ------ 38345/2459163. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(b (a (^z.z)))) 3. ==[ beta ]==> ((a (^y.b))(b (a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.b))(b (a (^y.y)))) REDUCED to normal form. ------ 38346/2459181. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(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))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.a)) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.a)) REDUCED to normal form. ------ 38347/2459217. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 38348/2459244. ------ 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. ------ 38349/2459262. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(a (^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(a (^z.a))) 3. ==[ beta ]==> (b (a (^z.a))) 4. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 38350/2459271. ------ 1. ==[ start ]==> (((a b)(^b.a))(c a)) 2. ==[ alpha ]==> (((a b)(^x.a))(c a)) REDUCED to normal form. ------ 38351/2459298. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 38352/2459361. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a a) b)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a a) b)) REDUCED to normal form. ------ 38353/2459388. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z)) a)) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 38354/2459415. ------ 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. ------ 38355/2459442. ------ 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. ------ 38356/2459469. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a a) a)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a a) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a) a)) 5. ==[ beta ]==> (((^y.y)(^z.z))((a a) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a a) a)) 7. ==[ beta ]==> ((^y.y)((a a) a)) 8. ==[ alpha ]==> ((^x.x)((a a) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 38357/2459496. ------ 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. ------ 38358/2459522. ------ 1. ==[ start ]==> (^a.((a b)((^a.a) a))) 2. ==[ alpha ]==> (^x.((x b)((^y.y) x))) 3. ==[ beta ]==> (^x.((x b) x)) REDUCED to normal form. ------ 38359/2459523. ------ 1. ==[ start ]==> (a ((a b)((^a.a) a))) 2. ==[ alpha ]==> (a ((a b)((^x.x) a))) 3. ==[ beta ]==> (a ((a b) a)) REDUCED to normal form. ------ 38360/2461803. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^c.(^c.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. ------ 38361/2463363. ------ 1. ==[ start ]==> (((a b)((^a.a) a)) a) 2. ==[ alpha ]==> (((a b)((^x.x) a)) a) 3. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 38362/2463369. ------ 1. ==[ start ]==> ((^a.a)((a b)((^a.a) 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. ------ 38363/2463396. ------ 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. ------ 38364/2463423. ------ 1. ==[ start ]==> ((^a.b)(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 38365/2463504. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^z.z))((^x1.x1)(a a)))(^y.y)) 4. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.z)) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 38366/2463621. ------ 1. ==[ start ]==> ((^a.(^b.a))((a b)(^b.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. ------ 38367/2463795. ------ 1. ==[ start ]==> (((a a)(^b.a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 38368/2463864. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a b) c)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a b) c)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 38369/2464038. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 38370/2464281. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b b)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 38371/2464497. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^z.(a a))) REDUCED to normal form. ------ 38372/2464722. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.((^z.z)(y y)))) 5. ==[ beta ]==> ((a a)(^y.((^z.z)(y y)))) 6. ==[ alpha ]==> ((a a)(^x.((^y.y)(x x)))) 7. ==[ beta ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 38373/2464746. ------ 1. ==[ start ]==> ((^a.((a a) a))((a b)(a a))) 2. ==[ alpha ]==> ((^x.((x x) x))((a b)(a a))) 3. ==[ beta ]==> ((((a b)(a a))((a b)(a a)))((a b)(a a))) REDUCED to normal form. ------ 38374/2465079. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 38375/2465259. ------ 1. ==[ start ]==> ((^a.(a b))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((c ((^y.y)(^z.z))) b) 4. ==[ alpha ]==> ((c ((^x.x)(^y.y))) b) 5. ==[ beta ]==> ((c (^y.y)) b) 6. ==[ alpha ]==> ((c (^x.x)) b) REDUCED to normal form. ------ 38376/2465646. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a a)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a a)(^z.a))) 3. ==[ beta ]==> (^y.(((a a)(^z.a))((a a)(^z.a)))) 4. ==[ alpha ]==> (^x.(((a a)(^y.a))((a a)(^z.a)))) REDUCED to normal form. ------ 38377/2465649. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^c.(^c.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.a))) REDUCED to normal form. ------ 38378/2465820. ------ 1. ==[ start ]==> (((^a.b) b)(^b.(^c.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. ------ 38379/2465829. ------ 1. ==[ start ]==> (((a b)(a a))(^a.((a a) a))) 2. ==[ alpha ]==> (((a b)(a a))(^x.((x x) x))) REDUCED to normal form. ------ 38380/2465853. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.y)((((^z.z)(^x1.x1))(a a))(((^z.z)(^x1.x1))(a a)))) 4. ==[ alpha ]==> ((^x.x)((((^y.y)(^z.z))(a a))(((^x1.x1)(^y1.y1))(a a)))) 5. ==[ beta ]==> ((((^y.y)(^z.z))(a a))(((^x1.x1)(^y1.y1))(a a))) 6. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((^z.z)(^x1.x1))(a a))) 7. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(^x1.x1))(a a))) 8. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z))(a a))) 9. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(a a))) 10. ==[ alpha ]==> ((a a)(((^x.x)(^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. ------ 38381/2466108. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^c.(^b.(^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. ------ 38382/2466117. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.x1))) REDUCED to normal form. ------ 38383/2466252. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 38384/2466711. ------ 1. ==[ start ]==> (((a b) c)(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.(y y)))) REDUCED to normal form. ------ 38385/2466945. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^b.c)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.c)) 3. ==[ beta ]==> (b (^z.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 38386/2466954. ------ 1. ==[ start ]==> (((a b)(^b.a))(^a.(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.y))) REDUCED to normal form. ------ 38387/2467008. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 38388/2467071. ------ 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)))) REDUCED to normal form. ------ 38389/2467098. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^c.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.(a a))) 3. ==[ beta ]==> ((a (a b))(^y.(a a))) 4. ==[ alpha ]==> ((a (a b))(^x.(a a))) REDUCED to normal form. ------ 38390/2467152. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(^a.b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^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. ------ 38391/2467179. ------ 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. ------ 38392/2467206. ------ 1. ==[ start ]==> (((a b)((^a.a) 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. ------ 38393/2467218. ------ 1. ==[ start ]==> ((a a)((a b)((^a.a) a))) 2. ==[ alpha ]==> ((a a)((a b)((^x.x) a))) 3. ==[ beta ]==> ((a a)((a b) a)) REDUCED to normal form. ------ 38394/2467245. ------ 1. ==[ start ]==> ((a (a a))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 38395/2467272. ------ 1. ==[ start ]==> ((a b)(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^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. ------ 38396/2467326. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(a b))) 3. ==[ beta ]==> (((a a)(a a))(a (a b))) REDUCED to normal form. ------ 38397/2467353. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a (a (^x.x)))((a (^y.y))(a a))) REDUCED to normal form. ------ 38398/2467371. ------ 1. ==[ start ]==> (((a a) b)(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(b (^x.(^y.y)))) REDUCED to normal form. ------ 38399/2467416. ------ 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))) REDUCED to normal form. ------ 38400/2467443. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 38401/2467452. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 38402/2467470. ------ 1. ==[ start ]==> ((a (^b.a))((a b)(^b.a))) 2. ==[ alpha ]==> ((a (^x.a))((a b)(^y.a))) REDUCED to normal form. ------ 38403/2467506. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 38404/2467551. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (a a))(^z.a))) 3. ==[ beta ]==> ((^y.a)((a (a a))(^z.a))) 4. ==[ alpha ]==> ((^x.a)((a (a a))(^y.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 38405/2467578. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.b))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.b))) 5. ==[ beta ]==> (((^y.y) a)(^z.b)) 6. ==[ alpha ]==> (((^x.x) a)(^y.b)) 7. ==[ beta ]==> (a (^y.b)) 8. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 38406/2467587. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(a b))) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 38407/2467614. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(^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. ------ 38408/2467641. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.a))((a a)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.y))) REDUCED to normal form. ------ 38409/2467659. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^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) REDUCED to normal form. ------ 38410/2467695. ------ 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 a)) REDUCED to normal form. ------ 38411/2467713. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a b) c)) 2. ==[ alpha ]==> ((a (^x.(x x)))((a b) c)) REDUCED to normal form. ------ 38412/2467884. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 38413/2467929. ------ 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 a)) REDUCED to normal form. ------ 38414/2467956. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 38415/2468055. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x) a)((a a) a))) 3. ==[ beta ]==> (((a a)(a (a a)))(a ((a a) a))) REDUCED to normal form. ------ 38416/2468082. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a (^z.z))(a b))) 3. ==[ beta ]==> (((a (^x.x)) a)((a (^z.z))(a b))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))(a b))) REDUCED to normal form. ------ 38417/2468109. ------ 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. ------ 38418/2468127. ------ 1. ==[ start ]==> (((^a.(a a)) b)(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 38419/2468172. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 38420/2468199. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 38421/2468253. ------ 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.(^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. ------ 38422/2468262. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(x x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a)) b)(((^y.y)(^z.z))((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a (a a)) b)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (a a)) b)((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a (a a)) b)((^x.x)((^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. ------ 38423/2468289. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.a)((a a) a))) 3. ==[ beta ]==> (((^y.y) a)((^z.a)((a a) a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.a)((a a) a))) 5. ==[ beta ]==> (a ((^y.a)((a a) a))) 6. ==[ alpha ]==> (a ((^x.a)((a a) a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 38424/2468307. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.b))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.b))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.b))) 7. ==[ beta ]==> ((a (^y.y))(^z.b)) 8. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 38425/2468316. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(^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. ------ 38426/2468334. ------ 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)(^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. ------ 38427/2468343. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((^x1.x1)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)(a a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 38428/2468370. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.a))((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(a a))(^z.z))) 5. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 38429/2468388. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a b) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a b) b)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a b) b)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a b) b)) REDUCED to normal form. ------ 38430/2468397. ------ 1. ==[ start ]==> (((a (a a))(^a.(^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. ------ 38431/2468541. ------ 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. ------ 38432/2468568. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))(a ((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)(a ((^y.y)(a a)))) 6. ==[ alpha ]==> ((a a)(a ((^x.x)(a a)))) 7. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 38433/2468595. ------ 1. ==[ start ]==> ((a ((a a) a))((a b)(a a))) REDUCED to normal form. ------ 38434/2468631. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^c.a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 38435/2468721. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(c (^c.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. ------ 38436/2468748. ------ 1. ==[ start ]==> ((((a a) a) a)(b (^a.b))) 2. ==[ alpha ]==> ((((a a) a) a)(b (^x.b))) REDUCED to normal form. ------ 38437/2468793. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a b)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((a b)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.y))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 38438/2468802. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.b)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 38439/2468847. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(^z.z))(^x1.a))) 7. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(^x1.a))) 8. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.a))) 9. ==[ beta ]==> ((a a)((^y.y)(^z.a))) 10. ==[ alpha ]==> ((a a)((^x.x)(^y.a))) 11. ==[ beta ]==> ((a a)(^y.a)) 12. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 38440/2468856. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.(^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. ------ 38441/2468883. ------ 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 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. ------ 38442/2468910. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 38443/2468928. ------ 1. ==[ start ]==> ((a (^a.b))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.b))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 38444/2469099. ------ 1. ==[ start ]==> (((^a.b) a)((^b.a)(^b.(^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. ------ 38445/2469108. ------ 1. ==[ start ]==> ((a (a b))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(c ((^x.x)(^y.y)))) 3. ==[ beta ]==> ((a (a b))(c (^y.y))) 4. ==[ alpha ]==> ((a (a b))(c (^x.x))) REDUCED to normal form. ------ 38446/2469288. ------ 1. ==[ start ]==> (((a b) a)(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(c (^x.(^y.y)))) REDUCED to normal form. ------ 38447/2469315. ------ 1. ==[ start ]==> (((a a)(^a.b))(b (^c.a))) 2. ==[ alpha ]==> (((a a)(^x.b))(b (^y.a))) REDUCED to normal form. ------ 38448/2469369. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^c.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(a a))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 38449/2469387. ------ 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.(^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. ------ 38450/2469396. ------ 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 (^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. ------ 38451/2469423. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(x1 x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(x1 x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.a)((^z.(z z))((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.a)((^y.(y y))((^z.z) a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 38452/2469450. ------ 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. ------ 38453/2469468. ------ 1. ==[ start ]==> (((^a.b)(a a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 38454/2469477. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 38455/2469495. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a a)(^c.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a a)(^y.a))) REDUCED to normal form. ------ 38456/2469648. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(b (^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(b (^y.y))) REDUCED to normal form. ------ 38457/2469666. ------ 1. ==[ start ]==> (((^a.b) b)((^a.a)(^c.a))) 2. ==[ alpha ]==> (((^x.b) b)((^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. ------ 38458/2469675. ------ 1. ==[ start ]==> (((a b)(a a))(a ((a a) a))) REDUCED to normal form. ------ 38459/2469702. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^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. ------ 38460/2469711. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.(^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. ------ 38461/2469738. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(x1 x1)) c)) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1)) 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. ------ 38462/2469873. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 38463/2469882. ------ 1. ==[ start ]==> (((a b) b)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.(x x))(a (^y.y)))) 3. ==[ beta ]==> (((a b) b)((a (^y.y))(a (^y.y)))) 4. ==[ alpha ]==> (((a b) b)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 38464/2469909. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a a) a)((^y.a)((^z.z) a))) 4. ==[ alpha ]==> (((a a) a)((^x.a)((^y.y) a))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 38465/2469927. ------ 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. ------ 38466/2469936. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 38467/2469954. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a a)(^b.(^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. ------ 38468/2469963. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 38469/2470008. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a (a a)) b)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a (a a)) b)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (a a)) b)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (a a)) b)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (a a)) b)) 7. ==[ beta ]==> (((^y.y)(^z.z))((a (a a)) b)) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a)) b)) 9. ==[ beta ]==> ((^y.y)((a (a a)) b)) 10. ==[ alpha ]==> ((^x.x)((a (a a)) b)) 11. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 38470/2470017. ------ 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.(^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. ------ 38471/2470044. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((^y.(y y))((^z.a)(^x1.a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.a)(^z.a))) 7. ==[ beta ]==> (((^y.a)(^z.a))((^y.a)(^z.a))) 8. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a)(^x1.a))) 9. ==[ beta ]==> (a ((^z.a)(^x1.a))) 10. ==[ alpha ]==> (a ((^x.a)(^y.a))) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 38472/2470071. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 38473/2470098. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 38474/2470161. ------ 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. ------ 38475/2470188. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a b))((a (^y.y)) a)) REDUCED to normal form. ------ 38476/2470215. ------ 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. ------ 38477/2470314. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 38478/2470413. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((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. ------ 38479/2470557. ------ 1. ==[ start ]==> (((a b) c)(a (^a.(a a)))) 2. ==[ alpha ]==> (((a b) c)(a (^x.(x x)))) REDUCED to normal form. ------ 38480/2470584. ------ 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) REDUCED to normal form. ------ 38481/2470611. ------ 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)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 38482/2470629. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a a)(^z.a))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)(^z.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 38483/2470656. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((^x1.x1) a) a)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a) a)) 5. ==[ beta ]==> (((^y.y) a) a) 6. ==[ alpha ]==> (((^x.x) a) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 38484/2470665. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 38485/2470692. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(^a.a))(^a.(^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. ------ 38486/2470746. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(c (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(c (^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(c (^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c (^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(c (^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(c (^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 38487/2470773. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 38488/2470791. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.a) c)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.z) c)) 3. ==[ beta ]==> (b ((^z.z) c)) 4. ==[ alpha ]==> (b ((^x.x) c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 38489/2470800. ------ 1. ==[ start ]==> (((a b)(^b.a))(a (^b.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(a (^y.a))) REDUCED to normal form. ------ 38490/2470827. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 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. ------ 38491/2470854. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a (^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (^z.z))) REDUCED to normal form. ------ 38492/2470890. ------ 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. ------ 38493/2470917. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(a (a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a (a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(a (a (^y.y)))) REDUCED to normal form. ------ 38494/2470944. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a a)(a a))) 3. ==[ beta ]==> ((a (a b))((a a)(a a))) REDUCED to normal form. ------ 38495/2470971. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(b a)) REDUCED to normal form. ------ 38496/2470998. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(a b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^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. ------ 38497/2471025. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(a (a a))) REDUCED to normal form. ------ 38498/2471052. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(a a)) 2. ==[ alpha ]==> (((a b)((^x.x) a))(a a)) 3. ==[ beta ]==> (((a b) a)(a a)) REDUCED to normal form. ------ 38499/2474901. ------ 1. ==[ start ]==> (((a b)((^a.a) a)) b) 2. ==[ alpha ]==> (((a b)((^x.x) a)) b) 3. ==[ beta ]==> (((a b) a) b) REDUCED to normal form. ------ 38500/2474925. ------ 1. ==[ start ]==> ((^a.(^a.a))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a b)((^z.z) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 38501/2475006. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 38502/2475240. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ eta ]==> ((^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. ------ 38503/2475342. ------ 1. ==[ start ]==> (((a a)(^b.a))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 38504/2475603. ------ 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 ]==> (((^y.y)(^y.y))(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((z z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.((z z)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(^y.((y y)(^z.z)))) 7. ==[ beta ]==> (^y.((y y)(^z.z))) 8. ==[ alpha ]==> (^x.((x x)(^y.y))) REDUCED to normal form. ------ 38505/2475735. ------ 1. ==[ start ]==> ((^a.(^b.(^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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 38506/2475861. ------ 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)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 38507/2476269. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.(a a)))) 5. ==[ beta ]==> ((a a)(^y.(^z.(a a)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(a a)))) REDUCED to normal form. ------ 38508/2476674. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.(a x1))) 3. ==[ eta ]==> (((a (^x.x))((^y.y)(^z.z))) a) 4. ==[ beta ]==> (((a (^x.x))(^z.z)) a) 5. ==[ alpha ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 38509/2476806. ------ 1. ==[ start ]==> ((^a.(a b))((^b.a)(^b.(^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. ------ 38510/2477214. ------ 1. ==[ start ]==> (((a a)(a b))(^b.((a a) a))) 2. ==[ alpha ]==> (((a a)(a b))(^x.((a a) a))) REDUCED to normal form. ------ 38511/2477376. ------ 1. ==[ start ]==> (((a b)(a a))(^b.(^c.a))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(^y.a))) REDUCED to normal form. ------ 38512/2477664. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 38513/2477943. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^a.(^b.(^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. ------ 38514/2478051. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(^y.(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(a (a a)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(a (a a)))) REDUCED to normal form. ------ 38515/2478075. ------ 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 ]==> ((((^y.y)(^y.y))((^z.(z z))(^x1.x1)))(^y1.y1)) 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)(^y.y))(^z.z)) 12. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 13. ==[ beta ]==> ((^y.y)(^z.z)) 14. ==[ alpha ]==> ((^x.x)(^y.y)) 15. ==[ beta ]==> (^y.y) 16. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 38516/2478249. ------ 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 (^x.a)) REDUCED to normal form. ------ 38517/2478258. ------ 1. ==[ start ]==> (((a b) c)(^b.d)) 2. ==[ alpha ]==> (((a b) c)(^x.d)) REDUCED to normal form. ------ 38518/2478492. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (b (^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 38519/2478501. ------ 1. ==[ start ]==> (((a b)(^b.a))(^b.c)) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.c)) REDUCED to normal form. ------ 38520/2478618. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^b.(^a.(^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. ------ 38521/2478672. ------ 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. ------ 38522/2478699. ------ 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. ------ 38523/2478726. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 38524/2478753. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^a.(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.(^z.z))) 3. ==[ beta ]==> (((a b) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a b) a)(^x.(^y.y))) REDUCED to normal form. ------ 38525/2478783. ------ 1. ==[ start ]==> ((a (^a.a))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))((a b)((^y.y) a))) 3. ==[ beta ]==> ((a (^x.x))((a b) a)) REDUCED to normal form. ------ 38526/2478810. ------ 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. ------ 38527/2478837. ------ 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)((^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. ------ 38528/2478864. ------ 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. ------ 38529/2478918. ------ 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)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 38530/2478945. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a a)((a a)(^y.y)))) 5. ==[ beta ]==> ((a a)((a a)(^y.y))) 6. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 38531/2478981. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 38532/2479008. ------ 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))(^y.y))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 38533/2479044. ------ 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. ------ 38534/2479062. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> ((^y.y)(((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. ------ 38535/2479098. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) 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)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 38536/2479143. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (((a (^x.x)) b)(a (^z.b))) 4. ==[ alpha ]==> (((a (^x.x)) b)(a (^y.b))) REDUCED to normal form. ------ 38537/2479170. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a (^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)))) REDUCED to normal form. ------ 38538/2479197. ------ 1. ==[ start ]==> (((a a)(^b.a))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 38539/2479224. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a)(^x1.x1)) a)) REDUCED to normal form. ------ 38540/2479251. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z)(a a)) b)) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a)) b)) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a)) b)) 5. ==[ beta ]==> ((a (^x.x))((a a) b)) REDUCED to normal form. ------ 38541/2479287. ------ 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) a)((^y.b)(^z.a))) 4. ==[ alpha ]==> (((a a) a)((^x.b)(^y.a))) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 38542/2479341. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 38543/2479404. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(c (a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 38544/2479458. ------ 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 ]==> (((^y.y)(^y.y))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a ((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.y)(a ((a a)(^z.z)))) 6. ==[ alpha ]==> ((^x.x)(a ((a a)(^y.y)))) 7. ==[ beta ]==> (a ((a a)(^y.y))) 8. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 38545/2479485. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(a a))(a a))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))(a a))) 5. ==[ beta ]==> ((a (a a))((a a)(a a))) REDUCED to normal form. ------ 38546/2479494. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(a a)) b)) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 38547/2479512. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 38548/2479521. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.b) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.b) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) b) REDUCED to normal form. ------ 38549/2479566. ------ 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)(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. ------ 38550/2479593. ------ 1. ==[ start ]==> ((a (^b.(^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. ------ 38551/2479665. ------ 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. ------ 38552/2479719. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(a a))(a a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a))(a a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(a a))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 38553/2479818. ------ 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. ------ 38554/2479872. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(^x1.b))) REDUCED to normal form. ------ 38555/2479899. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a a)(^z.(a a)))) REDUCED to normal form. ------ 38556/2479926. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z)(a a)) a)) 3. ==[ beta ]==> ((a (^y.a))(((^z.z)(a a)) a)) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y)(a a)) a)) 5. ==[ beta ]==> ((a (^x.a))((a a) a)) REDUCED to normal form. ------ 38557/2479953. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a b) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a b) b)) REDUCED to normal form. ------ 38558/2480016. ------ 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)(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 38559/2480043. ------ 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.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 38560/2480070. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a a)((^y.a)(^z.a))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.a))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 38561/2480097. ------ 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. ------ 38562/2480124. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^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. ------ 38563/2480187. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a (^y.y)))) 5. ==[ beta ]==> (((a a) a)(a (^y.y))) 6. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 38564/2480241. ------ 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. ------ 38565/2480322. ------ 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. ------ 38566/2480358. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a b)(^x1.x1))) REDUCED to normal form. ------ 38567/2480385. ------ 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. ------ 38568/2480412. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a)(^a.a))(^b.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. ------ 38569/2480439. ------ 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.(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. ------ 38570/2480466. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a) a)(^b.(^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. ------ 38571/2480502. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 38572/2480529. ------ 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 (^x.x))(^z.z))((^x1.x1)(a b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(a b))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a b)) REDUCED to normal form. ------ 38573/2480556. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.b)(^z.z))) 3. ==[ beta ]==> ((a (a (a a)))((^y.b)(^z.z))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.b)(^y.y))) 5. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 38574/2480610. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(a (^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. ------ 38575/2480637. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(x x))(^y.(y y)))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.(y y))(^y.(y y)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 38576/2480664. ------ 1. ==[ start ]==> ((a (a b))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 38577/2480673. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.b)(c ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)(c ((^y.y)(^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 38578/2480754. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a) a)(a a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((a a) a)(a a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a) a)(a a))) IRREDUCIBLE: cycle. ------ 38579/2480835. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> (b (((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> (b (((^x.x) a)(a (a a)))) 5. ==[ beta ]==> (b (a (a (a a)))) REDUCED to normal form. ------ 38580/2480862. ------ 1. ==[ start ]==> (((^a.a)(a b))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a b)((a (^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a b)((a (^x.x))(^z.z))) 6. ==[ alpha ]==> ((a b)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 38581/2480889. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a a)((a a) a))) 3. ==[ beta ]==> ((^y.y)((a a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((a a)((a a) a))) 5. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 38582/2480925. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 38583/2480952. ------ 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.(^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. ------ 38584/2480979. ------ 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 REDUCED to normal form. ------ 38585/2481006. ------ 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. ------ 38586/2481033. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 38587/2481069. ------ 1. ==[ start ]==> (((a a)(a b))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.x)((a a) a))) 3. ==[ beta ]==> (((a a)(a b))((a a) a)) REDUCED to normal form. ------ 38588/2481123. ------ 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))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 38589/2481150. ------ 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. ------ 38590/2481177. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.a)(^z.(z z)))) 7. ==[ beta ]==> (a ((^y.a)(^z.(z z)))) 8. ==[ alpha ]==> (a ((^x.a)(^y.(y y)))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 38591/2481204. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 38592/2481231. ------ 1. ==[ start ]==> (((a b)(a a))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.x)(^y.a))) 3. ==[ beta ]==> (((a b)(a a))(^y.a)) 4. ==[ alpha ]==> (((a b)(a a))(^x.a)) REDUCED to normal form. ------ 38593/2481267. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y)(^z.z))(a a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 38594/2481294. ------ 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. ------ 38595/2481348. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(a (a a)))) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1))(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(a (a a)))) 7. ==[ beta ]==> ((a (^y.y))(a (a a))) 8. ==[ alpha ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 38596/2481438. ------ 1. ==[ start ]==> (((a b) b)((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 38597/2481465. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a)(^y.a))) 5. ==[ beta ]==> (((a a) a)(a (^y.a))) 6. ==[ alpha ]==> (((a a) a)(a (^x.a))) REDUCED to normal form. ------ 38598/2481492. ------ 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. ------ 38599/2481519. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 38600/2481573. ------ 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. ------ 38601/2481645. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(b (a (a a)))) 3. ==[ beta ]==> (b (b (a (a a)))) REDUCED to normal form. ------ 38602/2481681. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z)) a)) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 38603/2481744. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(c (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(c (^y.a))) REDUCED to normal form. ------ 38604/2481771. ------ 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. ------ 38605/2481798. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^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. ------ 38606/2481825. ------ 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))(a a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(z z))(a a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(y y))(a a))) 5. ==[ beta ]==> ((a (a a))((^y.(y y))(a a))) 6. ==[ alpha ]==> ((a (a a))((^x.(x x))(a a))) 7. ==[ beta ]==> ((a (a a))((a a)(a a))) REDUCED to normal form. ------ 38607/2481852. ------ 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)))) 5. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 38608/2481870. ------ 1. ==[ start ]==> (((^a.b) c)((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b) c)((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. ------ 38609/2481879. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 38610/2481906. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.y)(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)(a (a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(a (a a)))) 5. ==[ beta ]==> (((a a)(a a))(a (a a))) REDUCED to normal form. ------ 38611/2481933. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.z)(^z.z))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(^z.z))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 38612/2481969. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(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. ------ 38613/2482104. ------ 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))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 38614/2482113. ------ 1. ==[ start ]==> (((a b) c)((^a.a) d)) 2. ==[ alpha ]==> (((a b) c)((^x.x) d)) 3. ==[ beta ]==> (((a b) c) d) REDUCED to normal form. ------ 38615/2482140. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 38616/2482167. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 38617/2482185. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(b c)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(b c)) 3. ==[ beta ]==> (((a a)(^y.y))(b c)) 4. ==[ alpha ]==> (((a a)(^x.x))(b c)) REDUCED to normal form. ------ 38618/2482221. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z) a) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a a)) REDUCED to normal form. ------ 38619/2482248. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (^z.z)) b)) 3. ==[ beta ]==> ((a (^y.b))((a (^z.z)) b)) 4. ==[ alpha ]==> ((a (^x.b))((a (^y.y)) b)) REDUCED to normal form. ------ 38620/2482266. ------ 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. ------ 38621/2482302. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a) a)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 38622/2482329. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 38623/2482347. ------ 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. ------ 38624/2482356. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.a) c)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.y) c)) 3. ==[ beta ]==> (((a b)(^x.a)) c) REDUCED to normal form. ------ 38625/2482383. ------ 1. ==[ start ]==> ((((^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))) 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. ------ 38626/2482410. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 38627/2482446. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 38628/2482473. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^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. ------ 38629/2482500. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(b (^y.y))) 3. ==[ beta ]==> ((a (a b))(b (^y.y))) 4. ==[ alpha ]==> ((a (a b))(b (^x.x))) REDUCED to normal form. ------ 38630/2482527. ------ 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. ------ 38631/2482554. ------ 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. ------ 38632/2482581. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.x)(^y.y))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 38633/2482608. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(a (^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(a (^y.y))) 3. ==[ beta ]==> (((a b) a)(a (^y.y))) 4. ==[ alpha ]==> (((a b) a)(a (^x.x))) REDUCED to normal form. ------ 38634/2482625. ------ 1. ==[ start ]==> (^a.((^b.(a a)) c)) 2. ==[ alpha ]==> (^x.((^y.(x x)) c)) 3. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 38635/2482626. ------ 1. ==[ start ]==> (a ((^b.(a a)) c)) 2. ==[ alpha ]==> (a ((^x.(a a)) c)) 3. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 38636/2486466. ------ 1. ==[ start ]==> (((a b)((^a.a) a)) c) 2. ==[ alpha ]==> (((a b)((^x.x) a)) c) 3. ==[ beta ]==> (((a b) a) c) REDUCED to normal form. ------ 38637/2486490. ------ 1. ==[ start ]==> ((^a.a)((^b.(a a)) c)) 2. ==[ alpha ]==> ((^x.x)((^y.(a a)) c)) 3. ==[ beta ]==> ((^y.(a a)) c) 4. ==[ alpha ]==> ((^x.(a a)) c) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 38638/2486742. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (^y.((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (^x.((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 38639/2486814. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ eta ]==> ((^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. ------ 38640/2486934. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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))) REDUCED to normal form. ------ 38641/2486985. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(a a))(^a.(^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. ------ 38642/2487177. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 38643/2487186. ------ 1. ==[ start ]==> (((a (a a)) a)(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 38644/2487402. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((b b)(^y.((^z.z)(a a)))) 4. ==[ alpha ]==> ((b b)(^x.((^y.y)(a a)))) 5. ==[ beta ]==> ((b b)(^x.(a a))) REDUCED to normal form. ------ 38645/2487435. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^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. ------ 38646/2487867. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.(a a)) a)) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(a a)) a)) 3. ==[ beta ]==> ((((^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)) 5. ==[ beta ]==> (((a a)((^y.(a a)) a))((^z.(a a)) a)) 6. ==[ alpha ]==> (((a a)((^x.(a 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)) 9. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 38647/2488068. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(y y)))) 5. ==[ beta ]==> (^y.(^z.(y y))) 6. ==[ alpha ]==> (^x.(^y.(x x))) REDUCED to normal form. ------ 38648/2488200. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 38649/2488767. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1))((^y1.y1)(^z1.z1)))((^z.(^x1.x1))((^y1.y1)(^z1.z1))))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z))((^x1.x1)(^y1.y1)))((^z1.(^x2.x2))((^y2.y2)(^z2.z2))))) 5. ==[ beta ]==> (^x.((^z.z)((^z1.(^x2.x2))((^y2.y2)(^z2.z2))))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1))((^y1.y1)(^z1.z1))))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))((^x1.x1)(^y1.y1)))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 38650/2488788. ------ 1. ==[ start ]==> (((a a)(a b))(^c.(^c.a))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(^y.a))) REDUCED to normal form. ------ 38651/2489400. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^y.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 38652/2489649. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a (a a)) a)) 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. ------ 38653/2489832. ------ 1. ==[ start ]==> (((a b) c)(^c.((^a.a) a))) 2. ==[ alpha ]==> (((a b) c)(^x.((^y.y) a))) 3. ==[ beta ]==> (((a b) c)(^x.a)) REDUCED to normal form. ------ 38654/2489931. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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 ]==> (^x.a) REDUCED to normal form. ------ 38655/2490021. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1) y1))) 3. ==[ eta ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^z1.z1)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.y1)) 5. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.y1)) 6. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.x1)) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 38656/2490075. ------ 1. ==[ start ]==> (((a b)(^b.a))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(a (^z.z)))) REDUCED to normal form. ------ 38657/2490246. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(^b.b)) 2. ==[ alpha ]==> (((a (a a))((a a) a))(^x.x)) REDUCED to normal form. ------ 38658/2490327. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^b.a)) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.a)) 3. ==[ beta ]==> (((a b) a)(^y.a)) 4. ==[ alpha ]==> (((a b) a)(^x.a)) REDUCED to normal form. ------ 38659/2490357. ------ 1. ==[ start ]==> ((a a)((^b.(a a)) c)) 2. ==[ alpha ]==> ((a a)((^x.(a a)) c)) 3. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 38660/2490375. ------ 1. ==[ start ]==> (((^a.a) a)((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x) a)((a b)((^y.y) a))) 3. ==[ beta ]==> (a ((a b)((^y.y) a))) 4. ==[ alpha ]==> (a ((a b)((^x.x) a))) 5. ==[ beta ]==> (a ((a b) a)) REDUCED to normal form. ------ 38661/2490402. ------ 1. ==[ start ]==> (((a a) a)(((a a) a)(a (a a)))) REDUCED to normal form. ------ 38662/2490429. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.x))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 38663/2490456. ------ 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. ------ 38664/2490483. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.z) a)(a b))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(a b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a b))) 5. ==[ beta ]==> (((^y.y) a)(a b)) 6. ==[ alpha ]==> (((^x.x) a)(a b)) 7. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 38665/2490510. ------ 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 (^x.x))(a a))) REDUCED to normal form. ------ 38666/2490528. ------ 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)(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. ------ 38667/2490537. ------ 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. ------ 38668/2490609. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 38669/2490627. ------ 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. ------ 38670/2490654. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 38671/2490681. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) 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)))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 38672/2490690. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 38673/2490717. ------ 1. ==[ start ]==> (((^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) a))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((a a) a))) 5. ==[ beta ]==> ((^y.(y y))((a a) a)) 6. ==[ alpha ]==> ((^x.(x x))((a a) a)) 7. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 38674/2490771. ------ 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.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. ------ 38675/2490798. ------ 1. ==[ start ]==> (((^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)))) 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. ------ 38676/2490852. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(a a))(^a.(^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. ------ 38677/2490870. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a b) c)) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a b) c)) 3. ==[ beta ]==> (((a a) a)((a b) c)) REDUCED to normal form. ------ 38678/2490987. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.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. ------ 38679/2491023. ------ 1. ==[ start ]==> ((((^a.a) a) b)(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(b ((^y.y)(a a)))) 3. ==[ beta ]==> ((a b)(b ((^y.y)(a a)))) 4. ==[ alpha ]==> ((a b)(b ((^x.x)(a a)))) 5. ==[ beta ]==> ((a b)(b (a a))) REDUCED to normal form. ------ 38680/2491050. ------ 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. ------ 38681/2491077. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((a a)(a a))) REDUCED to normal form. ------ 38682/2491104. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a b)(a (^z.z)))) REDUCED to normal form. ------ 38683/2491131. ------ 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. ------ 38684/2491158. ------ 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. ------ 38685/2491266. ------ 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 b)((a a)((^y.y)(a a)))) 4. ==[ alpha ]==> ((b b)((a a)((^x.x)(a a)))) 5. ==[ beta ]==> ((b b)((a a)(a a))) REDUCED to normal form. ------ 38686/2491302. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(^z.z))) 5. ==[ beta ]==> ((a (^x.x))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 38687/2491311. ------ 1. ==[ start ]==> (((^a.a)(^b.(^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. ------ 38688/2491338. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 38689/2491392. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^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. ------ 38690/2491446. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)((a a) a))) 5. ==[ beta ]==> ((^y.y)((^z.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. ------ 38691/2491473. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.(^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. ------ 38692/2491527. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(a a))(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 38693/2491734. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.(a a)) a)) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(a a)) a)) 3. ==[ beta ]==> ((a ((a a) a))(a a)) REDUCED to normal form. ------ 38694/2491860. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b (((^y.y) a)((^z.z)(^x1.x1)))) 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. ------ 38695/2491887. ------ 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. ------ 38696/2491905. ------ 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. ------ 38697/2491932. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(a (^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(a (^y1.(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. ------ 38698/2492067. ------ 1. ==[ start ]==> ((a (^a.b))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 38699/2492112. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a a)(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a a)(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.b))) REDUCED to normal form. ------ 38700/2492139. ------ 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. ------ 38701/2492166. ------ 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. ------ 38702/2492256. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.a)(^b.(^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. ------ 38703/2492400. ------ 1. ==[ start ]==> ((((a a) a) b)((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a) b)((a (a a))((^x.x) a))) 3. ==[ beta ]==> ((((a a) a) b)((a (a a)) a)) REDUCED to normal form. ------ 38704/2492427. ------ 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. ------ 38705/2492445. ------ 1. ==[ start ]==> (((^a.a)(a b))(c (^b.(^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. ------ 38706/2492454. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.b))((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.b))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 38707/2492472. ------ 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)(b (^z.a))) 4. ==[ alpha ]==> ((^x.x)(b (^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 38708/2492607. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.a)(a (a a)))) 3. ==[ beta ]==> (b ((^y.a)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.a)(a (a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 38709/2492634. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 38710/2492652. ------ 1. ==[ start ]==> (((a a)(a b))((a a)(^c.a))) 2. ==[ alpha ]==> (((a a)(a b))((a a)(^x.a))) REDUCED to normal form. ------ 38711/2492679. ------ 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. ------ 38712/2492706. ------ 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)(^y1.y1)) b)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1)(^y1.y1)) b)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(^x1.x1)) b)) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1)) b)) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z)) b)) 7. ==[ beta ]==> ((a (^x.x))((^z.z) b)) 8. ==[ alpha ]==> ((a (^x.x))((^y.y) b)) 9. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 38713/2492805. ------ 1. ==[ start ]==> (((^a.b) b)(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 38714/2492931. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(c (^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(c (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c (^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.y)(c (^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.x)(c (^y.(y y)))) 7. ==[ beta ]==> (c (^y.(y y))) 8. ==[ alpha ]==> (c (^x.(x x))) REDUCED to normal form. ------ 38715/2493012. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 38716/2493066. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((a a)((^y.a)((^z.z) a))) 6. ==[ alpha ]==> ((a a)((^x.a)((^y.y) a))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 38717/2493075. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(c d)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(c d)) REDUCED to normal form. ------ 38718/2493093. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(^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. ------ 38719/2493147. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.x2))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.x2))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.z1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.y1))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.y1))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 38720/2493210. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(c ((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(c ((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(c a)) REDUCED to normal form. ------ 38721/2493228. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 38722/2493237. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b (a (a a)))) REDUCED to normal form. ------ 38723/2493264. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.x))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 38724/2493300. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(y y)) b)) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y)) b)) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x)) b)) 5. ==[ beta ]==> (((a a)(a a))(b b)) REDUCED to normal form. ------ 38725/2493327. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.a) c)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.a) c)) 3. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 38726/2493408. ------ 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. ------ 38727/2493435. ------ 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. ------ 38728/2493453. ------ 1. ==[ start ]==> (((^a.b) c)(c c)) 2. ==[ alpha ]==> (((^x.b) c)(c c)) 3. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 38729/2493462. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 38730/2493489. ------ 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. ------ 38731/2493516. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (a a)) a)) REDUCED to normal form. ------ 38732/2493552. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.a)(^a.(^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. ------ 38733/2493687. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 38734/2493696. ------ 1. ==[ start ]==> (((a b) c)((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a b) c)((a a)((^x.x) a))) 3. ==[ beta ]==> (((a b) c)((a a) a)) REDUCED to normal form. ------ 38735/2493768. ------ 1. ==[ start ]==> (((^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.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 38736/2493795. ------ 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)((^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. ------ 38737/2493831. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(c (a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(c (a a))) 3. ==[ beta ]==> ((a (^y.b))(c (a a))) 4. ==[ alpha ]==> ((a (^x.b))(c (a a))) REDUCED to normal form. ------ 38738/2493849. ------ 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) 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. ------ 38739/2493885. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(a ((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(a ((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a ((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(^z.z))(a ((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.z) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 38740/2493912. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a (^y.y))(a a))) REDUCED to normal form. ------ 38741/2493930. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(b (^a.(^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. ------ 38742/2493939. ------ 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. ------ 38743/2493993. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(b b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b b)) REDUCED to normal form. ------ 38744/2494029. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a (^y.y)) a)) REDUCED to normal form. ------ 38745/2494056. ------ 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 (^x.x))(a a))((a a) b)) REDUCED to normal form. ------ 38746/2494083. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(^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. ------ 38747/2494110. ------ 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. ------ 38748/2494137. ------ 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 a)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a)(^x1.x1))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a a)(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.z))) 7. ==[ beta ]==> ((^y.y)((a a)(^z.z))) 8. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 38749/2494164. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a a) a)) REDUCED to normal form. ------ 38750/2494191. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.a) a)) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.y) a)) 3. ==[ beta ]==> (((a b) a)((^y.y) a)) 4. ==[ alpha ]==> (((a b) a)((^x.x) a)) 5. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 38751/2494217. ------ 1. ==[ start ]==> (^a.(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (^x.(((^y.y)(x x))(x (^z.z)))) 3. ==[ beta ]==> (^x.((x x)(x (^z.z)))) 4. ==[ alpha ]==> (^x.((x x)(x (^y.y)))) REDUCED to normal form. ------ 38752/2494218. ------ 1. ==[ start ]==> (a (((^a.a)(a a))(a (^a.a)))) 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. ------ 38753/2495598. ------ 1. ==[ start ]==> ((^a.((a a) a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (((^y.((^z.z)(y y)))(^y.((^z.z)(y y))))(^y.((^z.z)(y y)))) 4. ==[ alpha ]==> (((^x.((^y.y)(x x)))(^z.((^x1.x1)(z z))))(^y1.((^z1.z1)(y1 y1)))) 5. ==[ beta ]==> (((^y.y)((^z.((^x1.x1)(z z)))(^z.((^x1.x1)(z z)))))(^y1.((^z1.z1)(y1 y1)))) 6. ==[ alpha ]==> (((^x.x)((^y.((^z.z)(y y)))(^x1.((^y1.y1)(x1 x1)))))(^z1.((^x2.x2)(z1 z1)))) 7. ==[ beta ]==> (((^y.((^z.z)(y y)))(^x1.((^y1.y1)(x1 x1))))(^z1.((^x2.x2)(z1 z1)))) 8. ==[ alpha ]==> (((^x.((^y.y)(x x)))(^z.((^x1.x1)(z z))))(^y1.((^z1.z1)(y1 y1)))) IRREDUCIBLE: cycle. ------ 38754/2496705. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.((z z) z))) 3. ==[ beta ]==> ((^y.y)((^z.((z z) z))(^z.((z z) z)))) 4. ==[ alpha ]==> ((^x.x)((^y.((y y) y))(^z.((z z) z)))) 5. ==[ beta ]==> ((^y.((y y) y))(^z.((z z) z))) 6. ==[ alpha ]==> ((^x.((x x) x))(^y.((y y) y))) 7. ==[ beta ]==> (((^y.((y y) y))(^y.((y y) y)))(^y.((y y) y))) 8. ==[ alpha ]==> (((^x.((x x) x))(^y.((y y) y)))(^z.((z z) z))) 9. ==[ beta ]==> ((((^y.((y y) y))(^y.((y y) y)))(^y.((y y) y)))(^z.((z z) z))) 10. ==[ alpha ]==> ((((^x.((x x) x))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1))) 11. ==[ beta ]==> (((((^y.((y y) y))(^y.((y y) y)))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1))) 12. ==[ alpha ]==> (((((^x.((x x) x))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1)))(^y1.((y1 y1) y1))) 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))) 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))) 15. ==[ 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))) 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))) 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))) 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))) 19. ==[ 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))) 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))) 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))) 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))) 23. ==[ 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))) 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))) 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))) 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))) 27. ==[ 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))) 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))) 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))) 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))) 31. ==[ 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))) 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))) 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))) 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))) 35. ==[ 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))) UNREDUCED: maximal number of reductions reached. ------ 38755/2498085. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a))) 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. ------ 38756/2498091. ------ 1. ==[ start ]==> ((^a.a)(((^a.a)(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. ------ 38757/2498100. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.(a a)) c)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a)) c)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 38758/2498118. ------ 1. ==[ start ]==> ((^a.(a a))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x x))((a b)((^y.y) a))) 3. ==[ beta ]==> (((a b)((^y.y) a))((a b)((^y.y) a))) 4. ==[ alpha ]==> (((a b)((^x.x) a))((a b)((^y.y) a))) 5. ==[ beta ]==> (((a b) a)((a b)((^y.y) a))) 6. ==[ alpha ]==> (((a b) a)((a b)((^x.x) a))) 7. ==[ beta ]==> (((a b) a)((a b) a)) REDUCED to normal form. ------ 38759/2498145. ------ 1. ==[ start ]==> ((^a.b)(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((^x.b)(((a a) a)(a (a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 38760/2498226. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z) a)(a b))) 3. ==[ beta ]==> ((((^z.z) a)(a b))(^y.y)) 4. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.y)) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 38761/2498343. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a)(a a))(^a.(^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. ------ 38762/2498544. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.((a a)(^y1.y1)))) REDUCED to normal form. ------ 38763/2498586. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z)(a a)) b)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 38764/2498787. ------ 1. ==[ start ]==> (((a (a a)) a)(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 38765/2499246. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.a))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.a))(^y.((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.a))(^y.(a a))) REDUCED to normal form. ------ 38766/2499468. ------ 1. ==[ start ]==> ((^a.((a a) a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^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)))) 4. ==[ alpha ]==> (((a ((^x.x)(a a)))(a ((^y.y)(a a))))(a ((^z.z)(a a)))) 5. ==[ beta ]==> (((a (a a))(a ((^y.y)(a a))))(a ((^z.z)(a a)))) 6. ==[ alpha ]==> (((a (a a))(a ((^x.x)(a a))))(a ((^y.y)(a a)))) 7. ==[ beta ]==> (((a (a a))(a (a a)))(a ((^y.y)(a a)))) 8. ==[ alpha ]==> (((a (a a))(a (a a)))(a ((^x.x)(a a)))) 9. ==[ beta ]==> (((a (a a))(a (a a)))(a (a a))) REDUCED to normal form. ------ 38767/2499471. ------ 1. ==[ start ]==> ((a ((a a) a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.((^y.y)(x x)))) 3. ==[ beta ]==> ((a ((a a) a))(^x.(x x))) REDUCED to normal form. ------ 38768/2499678. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.(x1 x1)))) REDUCED to normal form. ------ 38769/2499801. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a) a)(^b.(^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. ------ 38770/2500245. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 38771/2500368. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (^a.a))(^b.(^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. ------ 38772/2500575. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(a ((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(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. ------ 38773/2500578. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.((y y) y))) 3. ==[ beta ]==> ((a (a a))(^y.((y y) y))) 4. ==[ alpha ]==> ((a (a a))(^x.((x x) x))) REDUCED to normal form. ------ 38774/2501001. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^b.(^b.(^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. ------ 38775/2501433. ------ 1. ==[ start ]==> (((a b) c)(^d.(^b.a))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.a))) REDUCED to normal form. ------ 38776/2501460. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 38777/2501541. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^z.a)) REDUCED to normal form. ------ 38778/2501622. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 38779/2501703. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 38780/2501820. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.(y (^z.z)))) 3. ==[ beta ]==> ((a (a b))(^y.(y (^z.z)))) 4. ==[ alpha ]==> ((a (a b))(^x.(x (^y.y)))) REDUCED to normal form. ------ 38781/2501901. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(^a.b)) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.b)) REDUCED to normal form. ------ 38782/2501928. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^a.(a a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.(y y))) 3. ==[ beta ]==> (((a b) a)(^y.(y y))) 4. ==[ alpha ]==> (((a b) a)(^x.(x x))) REDUCED to normal form. ------ 38783/2501955. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(^a.a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(^z.z)) 3. ==[ beta ]==> (((a a)(a (^y.y)))(^z.z)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 38784/2501967. ------ 1. ==[ start ]==> ((a a)(((^a.a)(a a))(a (^a.a)))) 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. ------ 38785/2501976. ------ 1. ==[ start ]==> ((a (^a.a))((^b.(a a)) c)) 2. ==[ alpha ]==> ((a (^x.x))((^y.(a a)) c)) 3. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 38786/2501994. ------ 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. ------ 38787/2502021. ------ 1. ==[ start ]==> ((a b)(((a a) a)(a (a a)))) REDUCED to normal form. ------ 38788/2502075. ------ 1. ==[ start ]==> (((a a)(a a))((a (a a))((a a) a))) REDUCED to normal form. ------ 38789/2502102. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) a)(a b))) 3. ==[ beta ]==> ((a (a (^x.x)))(a (a b))) REDUCED to normal form. ------ 38790/2502120. ------ 1. ==[ start ]==> (((a a) b)(c (^b.(a a)))) 2. ==[ alpha ]==> (((a a) b)(c (^x.(a a)))) REDUCED to normal form. ------ 38791/2502147. ------ 1. ==[ start ]==> (((a (^a.a)) a)(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(b (^y.(^z.z)))) REDUCED to normal form. ------ 38792/2502192. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.z))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 38793/2502219. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a)(a a))(^a.(^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. ------ 38794/2502255. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 38795/2502300. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 38796/2502336. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(y y))((a a) a))) 3. ==[ beta ]==> (((a (^x.x)) b)(((a a) a)((a a) a))) REDUCED to normal form. ------ 38797/2502363. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.a)(a b))) 3. ==[ beta ]==> ((a a)((^y.a)(a b))) 4. ==[ alpha ]==> ((a a)((^x.a)(a b))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 38798/2502381. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y) a)((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((a (^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. ------ 38799/2502390. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^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. ------ 38800/2502417. ------ 1. ==[ start ]==> (((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)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^x1.x1))) REDUCED to normal form. ------ 38801/2502462. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(a a)) b)) 3. ==[ beta ]==> ((a (^x.(x x)))((a a) b)) REDUCED to normal form. ------ 38802/2502552. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.(^a.a))(^b.(^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. ------ 38803/2502633. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(^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. ------ 38804/2502705. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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 a) REDUCED to normal form. ------ 38805/2502804. ------ 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. ------ 38806/2502831. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) a)((a a) a))) 5. ==[ beta ]==> (((a (^x.x)) a)(a ((a a) a))) REDUCED to normal form. ------ 38807/2502858. ------ 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. ------ 38808/2502876. ------ 1. ==[ start ]==> (((^a.(a a)) b)(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(b (^y.(a a)))) 3. ==[ beta ]==> ((b b)(b (^y.(a a)))) 4. ==[ alpha ]==> ((b b)(b (^x.(a a)))) REDUCED to normal form. ------ 38809/2502885. ------ 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. ------ 38810/2502921. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^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. ------ 38811/2502948. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a b)(^a.(^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. ------ 38812/2503002. ------ 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)(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(x2 x2)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.(x2 x2)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 x1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z z))) 9. ==[ beta ]==> ((^y.y)(^z.(z z))) 10. ==[ alpha ]==> ((^x.x)(^y.(y y))) 11. ==[ beta ]==> (^y.(y y)) 12. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 38813/2503011. ------ 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. ------ 38814/2503038. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (a ((^y.(y y))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.(x x))((^y.y)(^z.z)))) 7. ==[ beta ]==> (a (((^y.y)(^z.z))((^y.y)(^z.z)))) 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. ------ 38815/2503065. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 38816/2503083. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.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. ------ 38817/2503092. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(^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. ------ 38818/2503119. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.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. ------ 38819/2503137. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z)(a a)) a)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z)(a a)) a)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(a a)) a)) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a) a)) REDUCED to normal form. ------ 38820/2503146. ------ 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 a)) REDUCED to normal form. ------ 38821/2503173. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.b)(^a.(^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. ------ 38822/2503317. ------ 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. ------ 38823/2503344. ------ 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. ------ 38824/2503380. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b) b)) 3. ==[ beta ]==> ((^y.y)((^y1.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. ------ 38825/2503551. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.(a a)))) REDUCED to normal form. ------ 38826/2503578. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.b)(a a))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.b)(a a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.b)(a a))) 5. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 38827/2503596. ------ 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. ------ 38828/2503605. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 38829/2503632. ------ 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.(^z1.z1))((^x2.x2) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((^z1.z1) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 38830/2503659. ------ 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. ------ 38831/2503677. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a) a)(^b.(^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. ------ 38832/2503848. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 38833/2503947. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.b) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.b) a)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.b) a)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.b) a)) IRREDUCIBLE: cycle. ------ 38834/2504064. ------ 1. ==[ start ]==> (((a a)(^a.b))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(c (^y.(^z.z)))) REDUCED to normal form. ------ 38835/2504118. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 38836/2504136. ------ 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. ------ 38837/2504172. ------ 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 (^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. ------ 38838/2504199. ------ 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. ------ 38839/2504217. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> (b (a (^y.(y y)))) 6. ==[ alpha ]==> (b (a (^x.(x x)))) REDUCED to normal form. ------ 38840/2504226. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 38841/2504244. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 38842/2504415. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 38843/2504424. ------ 1. ==[ start ]==> (((a b)(a a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(b ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a b)(a a))(b (^y.y))) 4. ==[ alpha ]==> (((a b)(a a))(b (^x.x))) REDUCED to normal form. ------ 38844/2504451. ------ 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. ------ 38845/2504460. ------ 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 a) REDUCED to normal form. ------ 38846/2504487. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.(^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. ------ 38847/2504622. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 38848/2504631. ------ 1. ==[ start ]==> (((a b) b)((^b.(^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. ------ 38849/2504658. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> (((a a) a)((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> (((a a) a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 38850/2504676. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)(^z.a))) 5. ==[ beta ]==> ((a a)(((^y.y) a)(^z.a))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.a))) 7. ==[ beta ]==> ((a a)(a (^y.a))) 8. ==[ alpha ]==> ((a a)(a (^x.a))) REDUCED to normal form. ------ 38851/2504685. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 38852/2504703. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((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. ------ 38853/2504712. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(^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. ------ 38854/2504757. ------ 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)(^y1.y1)) a)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1)) 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. ------ 38855/2504766. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 38856/2504793. ------ 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))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.(z z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((^y.(y y))(^z.(^x1.x1)))((^y.(y y))(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 9. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 10. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 11. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.(^x2.x2)))) 12. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 13. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 14. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 15. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 16. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 17. ==[ beta ]==> (^y.y) 18. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 38857/2504820. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.a)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 38858/2504847. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 38859/2504874. ------ 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)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 38860/2504910. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a (a a))(a a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (a a))(a a))) 3. ==[ beta ]==> (((a a)(a a))((a (a a))(a a))) REDUCED to normal form. ------ 38861/2504937. ------ 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. ------ 38862/2504964. ------ 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. ------ 38863/2504991. ------ 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. ------ 38864/2505063. ------ 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)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 38865/2505072. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(c c)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(c c)) REDUCED to normal form. ------ 38866/2505162. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^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. ------ 38867/2505297. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 38868/2505306. ------ 1. ==[ start ]==> (((a b) c)(b (^b.a))) 2. ==[ alpha ]==> (((a b) c)(b (^x.a))) REDUCED to normal form. ------ 38869/2505333. ------ 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. ------ 38870/2505360. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 38871/2505378. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 38872/2505405. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((a a)(^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. ------ 38873/2505414. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((^x1.x1) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z) a)) 5. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 38874/2505441. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.b))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.b))((^y.a)(^z.z))) 5. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 38875/2505459. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a (^y.y)) b)) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a (^y.y)) b)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a (^x.x)) b)) REDUCED to normal form. ------ 38876/2505495. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 38877/2505540. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) b)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 38878/2505549. ------ 1. ==[ start ]==> (((a b)(^b.a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 38879/2505576. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 38880/2505603. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.(^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))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 38881/2505666. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(b (a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(b (a a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(b (a a))) REDUCED to normal form. ------ 38882/2505693. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(a (a (^y.y)))) 3. ==[ beta ]==> ((a (a b))(a (a (^y.y)))) 4. ==[ alpha ]==> ((a (a b))(a (a (^x.x)))) REDUCED to normal form. ------ 38883/2505720. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a a)(a a))) REDUCED to normal form. ------ 38884/2505747. ------ 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. ------ 38885/2505774. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(a b)) REDUCED to normal form. ------ 38886/2505801. ------ 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. ------ 38887/2505828. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(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)) REDUCED to normal form. ------ 38888/2507217. ------ 1. ==[ start ]==> ((^a.((a a) a))(^b.(^b.(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))(^y1.(^z1.(a a)))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.(a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 38889/2508324. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.a))(^z.(^x1.a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.a))(^x1.(^y1.a)))) 5. ==[ beta ]==> ((^y.(^z.a))(^x1.(^y1.a))) 6. ==[ alpha ]==> ((^x.(^y.a))(^z.(^x1.a))) 7. ==[ beta ]==> (^y.a) 8. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 38890/2508999. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.(a (a a)))) 3. ==[ beta ]==> (((^z.(a (a a)))(^z.(a (a a))))(^y.y)) 4. ==[ alpha ]==> (((^x.(a (a a)))(^y.(a (a a))))(^z.z)) 5. ==[ beta ]==> ((a (a a))(^z.z)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 38891/2509704. ------ 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) REDUCED to normal form. ------ 38892/2509728. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 38893/2509809. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 38894/2510313. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.(^a.a))(^b.(^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. ------ 38895/2510433. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.((y y)(^z.z)))) 3. ==[ beta ]==> ((a (a a))(^y.((y y)(^z.z)))) 4. ==[ alpha ]==> ((a (a a))(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 38896/2510538. ------ 1. ==[ start ]==> ((^a.(^b.(^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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 38897/2510874. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.a))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(a a)))) REDUCED to normal form. ------ 38898/2511096. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.(a a)))((^y.y)(^z.(a a))))((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.(a a)))((^z.z)(^x1.(a a))))((^y1.y1)(^z1.(a a)))) 5. ==[ beta ]==> (((^y.(a a))((^z.z)(^x1.(a a))))((^y1.y1)(^z1.(a a)))) 6. ==[ alpha ]==> (((^x.(a a))((^y.y)(^z.(a a))))((^x1.x1)(^y1.(a a)))) 7. ==[ beta ]==> ((a a)((^x1.x1)(^y1.(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. ------ 38899/2511099. ------ 1. ==[ start ]==> ((a ((a a) a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 38900/2511504. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(^y.(a y))) 3. ==[ eta ]==> ((((^x.x) a)(a (a a))) a) 4. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 38901/2511609. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (((^y.(y y))(^z.(z z))) b) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y))) b) 5. ==[ beta ]==> (((^y.(y y))(^y.(y y))) b) 6. ==[ alpha ]==> (((^x.(x x))(^y.(y y))) b) IRREDUCIBLE: cycle. ------ 38902/2511702. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^a.(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(z b))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.(z b))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(z b))) IRREDUCIBLE: cycle. ------ 38903/2512044. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^b.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.((a a) a))) REDUCED to normal form. ------ 38904/2512206. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(^z.a))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.a))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.a))) REDUCED to normal form. ------ 38905/2512215. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.((z z) z))) 3. ==[ beta ]==> ((^y.(a a))(^z.((z z) z))) 4. ==[ alpha ]==> ((^x.(a a))(^y.((y y) y))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 38906/2512773. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(^a.(^b.(^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. ------ 38907/2512878. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.z)(a (a a)))) 3. ==[ beta ]==> ((((^z.z)(a (a a)))((^z.z)(a (a a))))(^y.y)) 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. ------ 38908/2512881. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(a (a a)))) REDUCED to normal form. ------ 38909/2513169. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^c.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.a))) REDUCED to normal form. ------ 38910/2513250. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^c.c)) 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. ------ 38911/2513331. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 38912/2513394. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 38913/2513448. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^b.(^a.(^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. ------ 38914/2513502. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 9. ==[ beta ]==> (^y.(^z.(^x1.x1))) 10. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 38915/2513529. ------ 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. ------ 38916/2513556. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^b.(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.(^z.z))) 3. ==[ beta ]==> (((a b) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a b) a)(^x.(^y.y))) REDUCED to normal form. ------ 38917/2513583. ------ 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. ------ 38918/2513613. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.x))((a a)(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(a (^y.y)))) REDUCED to normal form. ------ 38919/2513622. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.x) a)((^y.(a a)) c)) 3. ==[ beta ]==> (a ((^y.(a a)) c)) 4. ==[ alpha ]==> (a ((^x.(a a)) c)) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 38920/2513640. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a b)((^z.z) a))) 3. ==[ beta ]==> ((^y.y)((a b)((^z.z) a))) 4. ==[ alpha ]==> ((^x.x)((a b)((^y.y) a))) 5. ==[ beta ]==> ((a b)((^y.y) a)) 6. ==[ alpha ]==> ((a b)((^x.x) a)) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 38921/2513667. ------ 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. ------ 38922/2513694. ------ 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)))((^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. ------ 38923/2513748. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(a b))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 38924/2513775. ------ 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.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. ------ 38925/2513802. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^y.y))((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 38926/2513838. ------ 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))) REDUCED to normal form. ------ 38927/2513874. ------ 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. ------ 38928/2513892. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a b)(^b.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. ------ 38929/2513901. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.b)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 38930/2513973. ------ 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. ------ 38931/2514000. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y) a)(^z.b))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(^z.b))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.b))) 5. ==[ beta ]==> ((a a)(a (^y.b))) 6. ==[ alpha ]==> ((a a)(a (^x.b))) REDUCED to normal form. ------ 38932/2514027. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 38933/2514081. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((a a)(^z.z)) a)) 3. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z)) a)) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 38934/2514117. ------ 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) 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. ------ 38935/2514144. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.b)(^b.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. ------ 38936/2514198. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.(^a.a))(^b.(^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. ------ 38937/2514288. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(b ((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b ((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.y)(b ((^z.z)(a a)))) 6. ==[ alpha ]==> ((^x.x)(b ((^y.y)(a a)))) 7. ==[ beta ]==> (b ((^y.y)(a a))) 8. ==[ alpha ]==> (b ((^x.x)(a a))) 9. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 38938/2514315. ------ 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. ------ 38939/2514342. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^x1.x1)(a a))(a a))) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 38940/2514351. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(a a)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 38941/2514378. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.b) c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.b) c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b) c)) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 38942/2514396. ------ 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)((^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. ------ 38943/2514423. ------ 1. ==[ start ]==> ((a (^b.(^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)))((^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. ------ 38944/2514522. ------ 1. ==[ start ]==> (((a (a a))(a a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(b (^x.(a a)))) REDUCED to normal form. ------ 38945/2514648. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a (a a)) b)((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> (((a (a a)) b)((^x.x)(^y.(y y)))) 5. ==[ beta ]==> (((a (a a)) b)(^y.(y y))) 6. ==[ alpha ]==> (((a (a a)) b)(^x.(x x))) REDUCED to normal form. ------ 38946/2514675. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a (a a))(^b.(^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. ------ 38947/2514702. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 38948/2514729. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (^z.z))(^x1.b))) REDUCED to normal form. ------ 38949/2514756. ------ 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. ------ 38950/2514783. ------ 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. ------ 38951/2514810. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a b) 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. ------ 38952/2514873. ------ 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))(^x1.(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. ------ 38953/2514900. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)((^y.(y y))(^z.(^x1.x1)))) 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. ------ 38954/2514927. ------ 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. ------ 38955/2514954. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.(^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. ------ 38956/2514981. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.x)(^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. ------ 38957/2515017. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((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. ------ 38958/2515071. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z)(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (a (((^z.z)(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))((^z.z) a))) 7. ==[ beta ]==> (a ((^y.y)((^z.z) a))) 8. ==[ alpha ]==> (a ((^x.x)((^y.y) a))) 9. ==[ beta ]==> (a ((^y.y) a)) 10. ==[ alpha ]==> (a ((^x.x) a)) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 38959/2515152. ------ 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. ------ 38960/2515179. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a a)(a b))) 3. ==[ beta ]==> ((^y.y)((a a)(a b))) 4. ==[ alpha ]==> ((^x.x)((a a)(a b))) 5. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 38961/2515215. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a b)(^z.z))) 3. ==[ beta ]==> ((a (^y.(y y)))((a b)(^z.z))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a b)(^y.y))) REDUCED to normal form. ------ 38962/2515242. ------ 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. ------ 38963/2515269. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 38964/2515296. ------ 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. ------ 38965/2515332. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 38966/2515359. ------ 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.y1))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 38967/2515386. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.y)(a b))) 3. ==[ beta ]==> ((a (a (a a)))((^y.y)(a b))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.x)(a b))) 5. ==[ beta ]==> ((a (a (a a)))(a b)) REDUCED to normal form. ------ 38968/2515413. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.b)(^z.z))) 3. ==[ beta ]==> (((a (a a)) a)((^y.b)(^z.z))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.b)(^y.y))) 5. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 38969/2515467. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 38970/2515494. ------ 1. ==[ start ]==> ((a (a b))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a b))((^x.(x x))(^y.(y y)))) 3. ==[ beta ]==> ((a (a b))((^y.(y y))(^y.(y y)))) 4. ==[ alpha ]==> ((a (a b))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 38971/2515584. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(a (a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a (a b))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(a (a b))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a (a b))) IRREDUCIBLE: cycle. ------ 38972/2515647. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.(^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. ------ 38973/2515665. ------ 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 a))((^z.z) a))) 4. ==[ alpha ]==> (b ((a (a a))((^x.x) a))) 5. ==[ beta ]==> (b ((a (a a)) a)) REDUCED to normal form. ------ 38974/2515692. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> ((a b)(((^y.y) a)(a (a a)))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)(a (a a)))) 5. ==[ beta ]==> ((a b)(a (a (a a)))) REDUCED to normal form. ------ 38975/2515719. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((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. ------ 38976/2515782. ------ 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. ------ 38977/2515809. ------ 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))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 38978/2515836. ------ 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. ------ 38979/2515863. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (((a b)(^x.x))(a (^z.(z z)))) 4. ==[ alpha ]==> (((a b)(^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 38980/2515899. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 38981/2515926. ------ 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 (^x.x))((a a) a))((a a) a)) REDUCED to normal form. ------ 38982/2515980. ------ 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. ------ 38983/2516007. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> (((^y.y) a)((^z.(z z))(^x1.a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(^z.a))) 7. ==[ beta ]==> (a ((^y.(y y))(^z.a))) 8. ==[ alpha ]==> (a ((^x.(x x))(^y.a))) 9. ==[ beta ]==> (a ((^y.a)(^y.a))) 10. ==[ alpha ]==> (a ((^x.a)(^y.a))) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 38984/2516034. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x))) a) REDUCED to normal form. ------ 38985/2516061. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 38986/2516097. ------ 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 a) REDUCED to normal form. ------ 38987/2516124. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1)(^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(a a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a a)) 7. ==[ beta ]==> ((^y.y)(a a)) 8. ==[ alpha ]==> ((^x.x)(a a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 38988/2516178. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) a)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)((^z1.z1) a))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) a)((^z1.z1) a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> (((^y.y) a)((^z.z) 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. ------ 38989/2516268. ------ 1. ==[ start ]==> (((a b) b)(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b) b)(((^x.x)(^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. ------ 38990/2516295. ------ 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. ------ 38991/2516322. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a (^z.a))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(a (^y.a))) REDUCED to normal form. ------ 38992/2516340. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(c d)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(c d)) 3. ==[ beta ]==> ((^y.y)(c d)) 4. ==[ alpha ]==> ((^x.x)(c d)) 5. ==[ beta ]==> (c d) REDUCED to normal form. ------ 38993/2516349. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 38994/2516403. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 38995/2516430. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a (a a)) b)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (a a)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (a a)) b)) 5. ==[ beta ]==> ((^y.(y y))((a (a a)) b)) 6. ==[ alpha ]==> ((^x.(x x))((a (a a)) b)) 7. ==[ beta ]==> (((a (a a)) b)((a (a a)) b)) REDUCED to normal form. ------ 38996/2516457. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a) a) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y) a) c)) 3. ==[ beta ]==> ((((a a) a)(^x.a))(a c)) REDUCED to normal form. ------ 38997/2516475. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(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. ------ 38998/2516628. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(b (^z.(z 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. ------ 38999/2516655. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(a (^b.(^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. ------ 39000/2516682. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(y y))(a a))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(y y))(a a))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(x x))(a a))) 5. ==[ beta ]==> ((((a a) a) a)((a a)(a a))) REDUCED to normal form. ------ 39001/2516700. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(((^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. ------ 39002/2516709. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 39003/2516736. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 39004/2516763. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(a (a a)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(a (a a))) REDUCED to normal form. ------ 39005/2516934. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 39006/2516943. ------ 1. ==[ start ]==> (((a b) c)((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y)) c)) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 39007/2516997. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y) 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. ------ 39008/2517042. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(b c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(b c)) 3. ==[ beta ]==> ((^y.y)(b c)) 4. ==[ alpha ]==> ((^x.x)(b c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 39009/2517051. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a a)(^z.a))) REDUCED to normal form. ------ 39010/2517078. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z) a) a)) 3. ==[ beta ]==> ((a (^y.b))(((^z.z) a) a)) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y) a) a)) 5. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 39011/2517132. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a a) c)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a a) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a) c)) 5. ==[ beta ]==> ((^y.(^z.z))((a a) c)) 6. ==[ alpha ]==> ((^x.(^y.y))((a a) c)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 39012/2517159. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.a) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.a) a)) 3. ==[ beta ]==> ((((a a) a)(^x.(x x))) a) REDUCED to normal form. ------ 39013/2517177. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a (^z.z))(a a))) 3. ==[ beta ]==> (b ((a (^z.z))(a a))) 4. ==[ alpha ]==> (b ((a (^x.x))(a a))) REDUCED to normal form. ------ 39014/2517186. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 39015/2517240. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 39016/2517276. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(a (^z.z))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(a (^y.y))) REDUCED to normal form. ------ 39017/2517303. ------ 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))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 39018/2517330. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a b))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a b))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 39019/2517357. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(b (^a.a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(b (^x.x))) REDUCED to normal form. ------ 39020/2517384. ------ 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. ------ 39021/2517411. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.x)(a a))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(a a)) REDUCED to normal form. ------ 39022/2517438. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a b) 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. ------ 39023/2517465. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(a (^z.z))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 39024/2521401. ------ 1. ==[ start ]==> ((^a.(a a))((^b.(a a)) c)) 2. ==[ alpha ]==> ((^x.(x x))((^y.(a a)) c)) 3. ==[ beta ]==> (((^y.(a a)) c)((^y.(a a)) c)) 4. ==[ alpha ]==> (((^x.(a a)) c)((^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. ------ 39025/2521626. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))(a a))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 39026/2521698. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((a a) a)(^z.(z z)))) 3. ==[ eta ]==> ((^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. ------ 39027/2522088. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a 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. ------ 39028/2522097. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 39029/2522331. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 39030/2522547. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^z.(a a))) REDUCED to normal form. ------ 39031/2522961. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^c.(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(a b))) REDUCED to normal form. ------ 39032/2523084. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 39033/2523357. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(^x1.z))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.(^x1.z))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(^x1.z))) IRREDUCIBLE: cycle. ------ 39034/2523528. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^c.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.((a a) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.((a a) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((a a) a))) REDUCED to normal form. ------ 39035/2523546. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(^y.(^z.b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.(^z.b))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(^y.b))) REDUCED to normal form. ------ 39036/2523651. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.a)(a (a a)))) 3. ==[ beta ]==> (^y.(((^z.a)(a (a a)))((^z.a)(a (a a))))) 4. ==[ alpha ]==> (^x.(((^y.a)(a (a a)))((^z.a)(a (a a))))) 5. ==[ beta ]==> (^x.(a ((^z.a)(a (a a))))) 6. ==[ alpha ]==> (^x.(a ((^y.a)(a (a a))))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 39037/2523870. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^b.(^c.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. ------ 39038/2524032. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 39039/2524167. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.((^y1.y1)(^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((^x1.x1)(^y1.y1)))) 9. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(^y1.y1)))) 10. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 11. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 12. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 13. ==[ beta ]==> (^x.(^z.z)) 14. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 39040/2524533. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a a)(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(^z.(z z)))((a a)(^z.(z z))))(^y.y)) 4. ==[ alpha ]==> ((((a a)(^x.(x x)))((a a)(^y.(y y))))(^z.z)) REDUCED to normal form. ------ 39041/2524743. ------ 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)(^x.a)) REDUCED to normal form. ------ 39042/2524932. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.((^z.z) y))) 3. ==[ eta ]==> ((((a a) a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 39043/2525103. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^c.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. ------ 39044/2525157. ------ 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. ------ 39045/2525211. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^c.a)) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.a)) 3. ==[ beta ]==> (((a b) a)(^y.a)) 4. ==[ alpha ]==> (((a b) a)(^x.a)) REDUCED to normal form. ------ 39046/2525238. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(^b.a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(^z.a)) 3. ==[ beta ]==> (((a a)(a (^y.y)))(^z.a)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.a)) REDUCED to normal form. ------ 39047/2525286. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> (a (((^y.y)(a a))(a (^z.z)))) 4. ==[ alpha ]==> (a (((^x.x)(a a))(a (^y.y)))) 5. ==[ beta ]==> (a ((a a)(a (^y.y)))) 6. ==[ alpha ]==> (a ((a a)(a (^x.x)))) REDUCED to normal form. ------ 39048/2525295. ------ 1. ==[ start ]==> ((a (a a))((^b.(a a)) c)) 2. ==[ alpha ]==> ((a (a a))((^x.(a a)) c)) 3. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 39049/2525313. ------ 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. ------ 39050/2525340. ------ 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. ------ 39051/2525367. ------ 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 ((^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. ------ 39052/2525394. ------ 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) a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((a a) a))) 5. ==[ beta ]==> ((a (a a))((a a) a)) REDUCED to normal form. ------ 39053/2525421. ------ 1. ==[ start ]==> (((a a) b)(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a a) b)(((^x.x) a)(a b))) 3. ==[ beta ]==> (((a a) b)(a (a b))) REDUCED to normal form. ------ 39054/2525448. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a (^y.y))(a a))) REDUCED to normal form. ------ 39055/2525466. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 39056/2525475. ------ 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. ------ 39057/2525520. ------ 1. ==[ start ]==> ((a (^b.a))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 39058/2525538. ------ 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. ------ 39059/2525565. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a b)(^y.a))) REDUCED to normal form. ------ 39060/2525592. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((a a) a)(^y.(y y)))) 3. ==[ beta ]==> ((a a)(((a a) a)(^y.(y y)))) 4. ==[ alpha ]==> ((a a)(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 39061/2525601. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.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. ------ 39062/2525628. ------ 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)(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 39063/2525682. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a)(a b))) 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))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 39064/2525709. ------ 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.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. ------ 39065/2525781. ------ 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) 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. ------ 39066/2525808. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a b) c)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a b) c)) REDUCED to normal form. ------ 39067/2525871. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.(^a.a))(^b.(^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. ------ 39068/2525898. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 39069/2525934. ------ 1. ==[ start ]==> ((((^a.a) a) b)(c (a b))) 2. ==[ alpha ]==> ((((^x.x) a) b)(c (a b))) 3. ==[ beta ]==> ((a b)(c (a b))) REDUCED to normal form. ------ 39070/2525952. ------ 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 ]==> (((^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. ------ 39071/2525961. ------ 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. ------ 39072/2525988. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 39073/2526015. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((a a)(a a))) REDUCED to normal form. ------ 39074/2526042. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a b)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(a (^z.z)))) REDUCED to normal form. ------ 39075/2526069. ------ 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. ------ 39076/2526177. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (^y.y))(a b))) 3. ==[ beta ]==> ((b b)((a (^y.y))(a b))) 4. ==[ alpha ]==> ((b b)((a (^x.x))(a b))) REDUCED to normal form. ------ 39077/2526222. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 39078/2526249. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 39079/2526357. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.z))) 9. ==[ beta ]==> (((^y.y)(^z.z))((^y.y)(^z.z))) 10. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 11. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 12. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 13. ==[ beta ]==> ((^y.y)(^z.z)) 14. ==[ alpha ]==> ((^x.x)(^y.y)) 15. ==[ beta ]==> (^y.y) 16. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 39080/2526384. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.a)((a a) a))) 3. ==[ beta ]==> ((^y.y)((^z.a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a) a))) 5. ==[ beta ]==> ((^y.a)((a a) a)) 6. ==[ alpha ]==> ((^x.a)((a a) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 39081/2526438. ------ 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 (^y.y))(a (^y.y)))((^z.z)((^x1.x1)(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. ------ 39082/2526771. ------ 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. ------ 39083/2526798. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x) 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. ------ 39084/2526843. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(b (^y1.b))) 3. ==[ beta ]==> ((^y.y)(b (^y1.b))) 4. ==[ alpha ]==> ((^x.x)(b (^y.b))) 5. ==[ beta ]==> (b (^y.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 39085/2526852. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(a b))) REDUCED to normal form. ------ 39086/2526897. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.b)(a a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.b)(a a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.b)(a a))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.b)(a a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)(a a))) 7. ==[ beta ]==> ((a a)((^y.b)(a a))) 8. ==[ alpha ]==> ((a a)((^x.b)(a a))) 9. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 39087/2526978. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> ((a (^x.b))((a (a a))(a (a a)))) REDUCED to normal form. ------ 39088/2526996. ------ 1. ==[ start ]==> (((a a)((a a) a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)((a a) a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)((a a) a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 39089/2527050. ------ 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. ------ 39090/2527077. ------ 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. ------ 39091/2527104. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((a a) a) b)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((a a) a) b)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a) a) b)) 5. ==[ beta ]==> ((a (^y.y))(((a a) a) b)) 6. ==[ alpha ]==> ((a (^x.x))(((a a) a) b)) REDUCED to normal form. ------ 39092/2527167. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.b)((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.b)((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 39093/2527248. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)(^x1.b))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)(^x1.b))) IRREDUCIBLE: cycle. ------ 39094/2527311. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a) b)((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> ((((a a) a) b)((^x.x)(a (^y.y)))) 5. ==[ beta ]==> ((((a a) a) b)(a (^y.y))) 6. ==[ alpha ]==> ((((a a) a) b)(a (^x.x))) REDUCED to normal form. ------ 39095/2527338. ------ 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. ------ 39096/2527365. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.b))(a (a (a a)))) REDUCED to normal form. ------ 39097/2527419. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a a)((a a) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)((a a) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)((a a) a))) REDUCED to normal form. ------ 39098/2527437. ------ 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 a)))(a (^y.b))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(a (^x.b))) REDUCED to normal form. ------ 39099/2527518. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (b ((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> (b ((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> (b (((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> (b (((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> (b (a ((^y.y) a))) 8. ==[ alpha ]==> (b (a ((^x.x) a))) 9. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 39100/2527545. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(a (a a)))) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 39101/2527563. ------ 1. ==[ start ]==> (((a a)(a b))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 39102/2527617. ------ 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 (^y.y))(((a a) a) a)) 6. ==[ alpha ]==> ((a (^x.x))(((a a) a) a)) REDUCED to normal form. ------ 39103/2527644. ------ 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. ------ 39104/2527716. ------ 1. ==[ start ]==> (((^a.b) b)(c (a (a a)))) 2. ==[ alpha ]==> (((^x.b) b)(c (a (a a)))) 3. ==[ beta ]==> (b (c (a (a a)))) REDUCED to normal form. ------ 39105/2527761. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((^y.(a a))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.y)(^z.a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 39106/2527923. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 39107/2527977. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> ((a a)((^y.(y y))(a (^z.z)))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(a (^y.y)))) 7. ==[ beta ]==> ((a a)((a (^y.y))(a (^y.y)))) 8. ==[ alpha ]==> ((a a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 39108/2528004. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 39109/2528013. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(c d)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(c d)) REDUCED to normal form. ------ 39110/2528058. ------ 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 ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.y1)((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)((^y1.y1)(^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)((^x1.x1)(^y1.y1)))) 9. ==[ beta ]==> ((^y.y)((^z.z)((^x1.x1)(^y1.y1)))) 10. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z)(^x1.x1)))) 11. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 12. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 13. ==[ beta ]==> ((^y.y)(^z.z)) 14. ==[ alpha ]==> ((^x.x)(^y.y)) 15. ==[ beta ]==> (^y.y) 16. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 39111/2528139. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a (^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. ------ 39112/2528148. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 39113/2528175. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(b (a (a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(b (a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (a (a a)))) REDUCED to normal form. ------ 39114/2528211. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z)) a)) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y)) a)) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 39115/2528238. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(y y)) b)) 3. ==[ beta ]==> (((a (^x.x))(a b))(b b)) REDUCED to normal form. ------ 39116/2528265. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.a) c)) 3. ==[ beta ]==> ((a ((a a) a))((^y.a) c)) 4. ==[ alpha ]==> ((a ((a a) a))((^x.a) c)) 5. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 39117/2528346. ------ 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. ------ 39118/2528364. ------ 1. ==[ start ]==> (((^a.b) c)(d b)) 2. ==[ alpha ]==> (((^x.b) c)(d b)) 3. ==[ beta ]==> (b (d b)) REDUCED to normal form. ------ 39119/2528373. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 39120/2528400. ------ 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. ------ 39121/2528427. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 39122/2528463. ------ 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)) 7. ==[ beta ]==> ((^y.y)(^y.y)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 39123/2528598. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 39124/2528607. ------ 1. ==[ start ]==> (((a b) c)((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b) c)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 39125/2528634. ------ 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))) 5. ==[ beta ]==> (((a a) b)((a a) a)) REDUCED to normal form. ------ 39126/2528679. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.a)(a a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(a a))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 39127/2528706. ------ 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)((^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. ------ 39128/2528715. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(b c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(b c)) REDUCED to normal form. ------ 39129/2528760. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.a)(^z.z))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.a)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.a)(^y.y))) 5. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 39130/2528796. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(b (a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(b (a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(b (a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(b (a (^z.z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 39131/2528823. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(a ((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 39132/2528841. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(c (^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(c (^z.z))) 3. ==[ beta ]==> (b (c (^z.z))) 4. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 39133/2528850. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y))(a a))) REDUCED to normal form. ------ 39134/2528877. ------ 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. ------ 39135/2528940. ------ 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. ------ 39136/2528967. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a (^z.z)) a)) 3. ==[ beta ]==> (((a (^x.x))(a a))((a (^z.z)) a)) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y)) a)) REDUCED to normal form. ------ 39137/2528994. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a a) b)) 3. ==[ beta ]==> ((a (a b))((a a) b)) REDUCED to normal form. ------ 39138/2529021. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a (a a))((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.x)) REDUCED to normal form. ------ 39139/2529048. ------ 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. ------ 39140/2529075. ------ 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. ------ 39141/2529102. ------ 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. ------ 39142/2529129. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.z) a)) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.z) a)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y) a)) 5. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 39143/2529155. ------ 1. ==[ start ]==> (^a.(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (^x.(((x x)(^y.y))(x x))) REDUCED to normal form. ------ 39144/2529156. ------ 1. ==[ start ]==> (a (((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (a (((a a)(^x.x))(a a))) REDUCED to normal form. ------ 39145/2533050. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a)) a) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a)) a) REDUCED to normal form. ------ 39146/2533056. ------ 1. ==[ start ]==> ((^a.a)(((a a)(^a.a))(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)) REDUCED to normal form. ------ 39147/2533083. ------ 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 ]==> ((((^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)))) 5. ==[ beta ]==> (((a a)(a (^y.y)))(((^z.z)(a a))(a (^x1.x1)))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(a a))(a (^z.z)))) 7. ==[ beta ]==> (((a a)(a (^x.x)))((a a)(a (^z.z)))) 8. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 39148/2533110. ------ 1. ==[ start ]==> ((^a.b)((a b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.b)((a b)((^y.y) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 39149/2533191. ------ 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 ]==> (((a (a a))((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.x)) REDUCED to normal form. ------ 39150/2533308. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.x))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (^y.(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (^x.(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 39151/2533536. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 39152/2533551. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((a a)(^z.z)) a)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 39153/2533779. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 39154/2533875. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.a) d)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a) d)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 39155/2534001. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((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. ------ 39156/2534238. ------ 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)))(^z.(a a))) REDUCED to normal form. ------ 39157/2534433. ------ 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. ------ 39158/2534670. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.(^x1.(z z)))) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.(y y)))) REDUCED to normal form. ------ 39159/2534766. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 39160/2535237. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(^z.b))) REDUCED to normal form. ------ 39161/2535333. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.((((^z.z) a)(^x1.(x1 x1)))(((^z.z) a)(^x1.(x1 x1))))) 4. ==[ alpha ]==> (^x.((((^y.y) a)(^z.(z z)))(((^x1.x1) a)(^y1.(y1 y1))))) 5. ==[ beta ]==> (^x.((a (^z.(z z)))(((^x1.x1) a)(^y1.(y1 y1))))) 6. ==[ alpha ]==> (^x.((a (^y.(y y)))(((^z.z) a)(^x1.(x1 x1))))) 7. ==[ beta ]==> (^x.((a (^y.(y y)))(a (^x1.(x1 x1))))) 8. ==[ alpha ]==> (^x.((a (^y.(y y)))(a (^z.(z z))))) REDUCED to normal form. ------ 39162/2535540. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((b ((^z.z)(^x1.x1)))(b ((^z.z)(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)((b ((^y.y)(^z.z)))(b ((^x1.x1)(^y1.y1))))) 5. ==[ beta ]==> ((b ((^y.y)(^z.z)))(b ((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((b ((^x.x)(^y.y)))(b ((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((b (^y.y))(b ((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((b (^x.x))(b ((^y.y)(^z.z)))) 9. ==[ beta ]==> ((b (^x.x))(b (^z.z))) 10. ==[ alpha ]==> ((b (^x.x))(b (^y.y))) REDUCED to normal form. ------ 39163/2535723. ------ 1. ==[ start ]==> (((a b) b)(^a.(^c.a))) 2. ==[ alpha ]==> (((a b) b)(^x.(^y.x))) REDUCED to normal form. ------ 39164/2535858. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 39165/2536002. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.((^z.z)(^x1.x1)))) 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))(^x.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 39166/2536452. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.(z z)))) REDUCED to normal form. ------ 39167/2536533. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^b.((^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))(^y.a)) REDUCED to normal form. ------ 39168/2536614. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(^z.a))) REDUCED to normal form. ------ 39169/2536695. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^a.(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.z))) REDUCED to normal form. ------ 39170/2536812. ------ 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. ------ 39171/2536893. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^a.b)) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.b)) 3. ==[ beta ]==> (((a b) a)(^y.b)) 4. ==[ alpha ]==> (((a b) a)(^x.b)) REDUCED to normal form. ------ 39172/2536920. ------ 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. ------ 39173/2536947. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^a.a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 39174/2536959. ------ 1. ==[ start ]==> ((a a)(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((a a)(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 39175/2536986. ------ 1. ==[ start ]==> ((a (a a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))(a (^y.y)))) 3. ==[ beta ]==> ((a (a a))((a a)(a (^y.y)))) 4. ==[ alpha ]==> ((a (a a))((a a)(a (^x.x)))) REDUCED to normal form. ------ 39176/2536995. ------ 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. ------ 39177/2537013. ------ 1. ==[ start ]==> ((a b)((a b)((^a.a) a))) 2. ==[ alpha ]==> ((a b)((a b)((^x.x) a))) 3. ==[ beta ]==> ((a b)((a b) a)) REDUCED to normal form. ------ 39178/2537067. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)((^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. ------ 39179/2537094. ------ 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. ------ 39180/2537166. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 39181/2537211. ------ 1. ==[ start ]==> ((a (^b.a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.a))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 39182/2537247. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 39183/2537292. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> ((^y.a)(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> ((^x.a)(((a a) a)(^y.(y y)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 39184/2537319. ------ 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.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 39185/2537328. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 39186/2537355. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(y y))((a a) a))) 3. ==[ beta ]==> ((a a)((^y.(y y))((a a) a))) 4. ==[ alpha ]==> ((a a)((^x.(x x))((a a) a))) 5. ==[ beta ]==> ((a a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 39187/2537373. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(^z.b))) 5. ==[ beta ]==> (a (((^y.y) a)(^z.b))) 6. ==[ alpha ]==> (a (((^x.x) a)(^y.b))) 7. ==[ beta ]==> (a (a (^y.b))) 8. ==[ alpha ]==> (a (a (^x.b))) REDUCED to normal form. ------ 39188/2537382. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.a)(a b))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(a b))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 39189/2537400. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((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. ------ 39190/2537409. ------ 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.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. ------ 39191/2537436. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^x.x))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 39192/2537454. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.(x x)))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 39193/2537625. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.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. ------ 39194/2537652. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a (a a)) a)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 39195/2537751. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.b) c)) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 39196/2537778. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.a) d)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a) d)) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 39197/2537796. ------ 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. ------ 39198/2537823. ------ 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)))) 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. ------ 39199/2537850. ------ 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. ------ 39200/2537868. ------ 1. ==[ start ]==> (((^a.(a a)) b)(c (^a.b))) 2. ==[ alpha ]==> (((^x.(x x)) b)(c (^y.b))) 3. ==[ beta ]==> ((b b)(c (^y.b))) 4. ==[ alpha ]==> ((b b)(c (^x.b))) REDUCED to normal form. ------ 39201/2537877. ------ 1. ==[ start ]==> (((a (a a))(a a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a))(a a))((a (^x.x))(a b))) REDUCED to normal form. ------ 39202/2537904. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^y.y))((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 39203/2537940. ------ 1. ==[ start ]==> (((^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))) 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. ------ 39204/2537994. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a) a)(^x1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a) a)(^x1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)(^y1.a))) 5. ==[ beta ]==> ((^y.y)(((a a) a)(^y1.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. ------ 39205/2538003. ------ 1. ==[ start ]==> (((a (a a)) b)((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.a)((^y.y) a))) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 39206/2538030. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> (a ((^y.(^z.z))(a (a a)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(a (a a)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 39207/2538048. ------ 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. ------ 39208/2538057. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(((^x1.x1)(^y1.y1))((^x1.x1)(^y1.y1)))) 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. ------ 39209/2538084. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.a)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 39210/2538111. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(^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. ------ 39211/2538129. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a a)(^z.(a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a a)(^z.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(^z.(a a)))) REDUCED to normal form. ------ 39212/2538138. ------ 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. ------ 39213/2538165. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(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. ------ 39214/2538336. ------ 1. ==[ start ]==> ((a ((a a) a))(b (a b))) REDUCED to normal form. ------ 39215/2538372. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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 a) REDUCED to normal form. ------ 39216/2538426. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.a) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.a) c)) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.a) c)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a) c)) 5. ==[ beta ]==> (a ((^z.a) c)) 6. ==[ alpha ]==> (a ((^x.a) c)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 39217/2538543. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (^x1.b))) REDUCED to normal form. ------ 39218/2538570. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(a (^z.(a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))(a (^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.(a a)))) REDUCED to normal form. ------ 39219/2538588. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a b)(^z.z))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a b)(^z.z))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a b)(^z.z))) 5. ==[ beta ]==> ((a ((^y.y) a))((a b)(^z.z))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a b)(^y.y))) 7. ==[ beta ]==> ((a a)((a b)(^y.y))) 8. ==[ alpha ]==> ((a a)((a b)(^x.x))) REDUCED to normal form. ------ 39220/2538597. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.b)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.b)(a a))) 3. ==[ beta ]==> (((a (a a))(^x.a)) b) REDUCED to normal form. ------ 39221/2538651. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 39222/2538669. ------ 1. ==[ start ]==> ((a (^a.b))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 39223/2538840. ------ 1. ==[ start ]==> (((^a.b) a)((^b.(^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. ------ 39224/2539020. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.(^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. ------ 39225/2539110. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 39226/2539137. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(a (^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a (^y.b))) REDUCED to normal form. ------ 39227/2539164. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^c.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.a)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(a a))) 5. ==[ beta ]==> ((^y.a)((^z.a)(a a))) 6. ==[ alpha ]==> ((^x.a)((^y.a)(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 39228/2539191. ------ 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. ------ 39229/2539209. ------ 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 a))(^y.a))) 4. ==[ alpha ]==> (b ((a (a a))(^x.a))) REDUCED to normal form. ------ 39230/2539218. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.x))(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((a b)(^x.x))(a ((^z.z) a))) 6. ==[ alpha ]==> (((a b)(^x.x))(a ((^y.y) a))) 7. ==[ beta ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 39231/2539236. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.(a a)))(a (^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.(y y)))) REDUCED to normal form. ------ 39232/2539407. ------ 1. ==[ start ]==> (((^a.b) b)((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)((^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. ------ 39233/2539416. ------ 1. ==[ start ]==> (((a b)(a a))(c (a (a a)))) REDUCED to normal form. ------ 39234/2539443. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a a))(b ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a (a a))(b ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a (a a))(b (^y.y))) 6. ==[ alpha ]==> ((a (a a))(b (^x.x))) REDUCED to normal form. ------ 39235/2539479. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^c.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 39236/2539533. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1)) c)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1)) c)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1)) c)) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1)) c)) 6. ==[ alpha ]==> ((^x.x)((^y.(y y)) c)) 7. ==[ beta ]==> ((^y.(y y)) c) 8. ==[ alpha ]==> ((^x.(x x)) c) 9. ==[ beta ]==> (c c) REDUCED to normal form. ------ 39237/2539623. ------ 1. ==[ start ]==> (((a b) b)(a (^c.a))) 2. ==[ alpha ]==> (((a b) b)(a (^x.a))) REDUCED to normal form. ------ 39238/2539650. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a 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))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 39239/2539668. ------ 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. ------ 39240/2539677. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 39241/2539695. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^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. ------ 39242/2539704. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 39243/2539749. ------ 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)(^z.z))((^y.y)(^z.z)))((a a)(^x1.(^y1.y1)))) 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. ------ 39244/2539758. ------ 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)(^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. ------ 39245/2539785. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.x1))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.x1))((^y.(^z.z))(^x1.x1))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))(^z1.z1))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.z1))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 39246/2539812. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(a a))(^a.(^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. ------ 39247/2539830. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^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. ------ 39248/2539839. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 39249/2539866. ------ 1. ==[ start ]==> ((((^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 y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 39250/2539902. ------ 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)(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. ------ 39251/2539929. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (a a))(a a))) REDUCED to normal form. ------ 39252/2539956. ------ 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. ------ 39253/2539983. ------ 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))((^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. ------ 39254/2540010. ------ 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. ------ 39255/2540055. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 39256/2540154. ------ 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)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) a)) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 39257/2540289. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 39258/2540298. ------ 1. ==[ start ]==> (((a b) c)(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(c (^x.(^y.y)))) REDUCED to normal form. ------ 39259/2540325. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(b (^y.a))) 3. ==[ beta ]==> (((a a) b)(b (^y.a))) 4. ==[ alpha ]==> (((a a) b)(b (^x.a))) REDUCED to normal form. ------ 39260/2540352. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(a (^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(a (^y.(y y)))) REDUCED to normal form. ------ 39261/2540370. ------ 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)(^x.x))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 39262/2540397. ------ 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.(^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. ------ 39263/2540406. ------ 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)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 39264/2540433. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.b))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.b))((^z.z) a)) 6. ==[ alpha ]==> ((a (^x.b))((^y.y) a)) 7. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 39265/2540451. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((^y.y) a) a)) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y) a) a)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x) a) a)) 5. ==[ beta ]==> ((((a a) a)((a a) a))(a a)) REDUCED to normal form. ------ 39266/2540487. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.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. ------ 39267/2540514. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.a)) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.a)) REDUCED to normal form. ------ 39268/2540532. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.a) a)) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 39269/2540541. ------ 1. ==[ start ]==> (((a b)(^b.a))(c (^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(c (^y.y))) REDUCED to normal form. ------ 39270/2540568. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 39271/2540595. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(a (^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (^z.a))) REDUCED to normal form. ------ 39272/2540631. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(b b)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(b b)) REDUCED to normal form. ------ 39273/2540685. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(b (a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(b (a a))) 3. ==[ beta ]==> ((a (a b))(b (a a))) REDUCED to normal form. ------ 39274/2540712. ------ 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. ------ 39275/2540739. ------ 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 a)(a a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a a)(a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a)(a a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a a)(a a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(a a))) 7. ==[ beta ]==> ((^y.y)((a a)(a a))) 8. ==[ alpha ]==> ((^x.x)((a a)(a a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 39276/2540766. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(b a)) REDUCED to normal form. ------ 39277/2540793. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(a b)) 2. ==[ alpha ]==> (((a b)((^x.x) a))(a b)) 3. ==[ beta ]==> (((a b) a)(a b)) REDUCED to normal form. ------ 39278/2540820. ------ 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. ------ 39279/2540847. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(a a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(a a)) REDUCED to normal form. ------ 39280/2544750. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a)) b) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a)) b) REDUCED to normal form. ------ 39281/2544774. ------ 1. ==[ start ]==> ((^a.(^a.a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 39282/2544855. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 39283/2545089. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.b)((^x1.x1) a))) 3. ==[ eta ]==> ((^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. ------ 39284/2545506. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.((x1 x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^x1.((x1 x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y)(^z.z)))) 5. ==[ beta ]==> (^y.((y y)(^z.z))) 6. ==[ alpha ]==> (^x.((x x)(^y.y))) REDUCED to normal form. ------ 39285/2545584. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a) a)((^x1.x1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 39286/2545710. ------ 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)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 39287/2545722. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 39288/2546142. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(^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. ------ 39289/2546181. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1)(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(^y1.((^z1.z1)(y1 y1)))) 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. ------ 39290/2546577. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^b.(a b))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(^y.(a y))) 3. ==[ eta ]==> (((a (a a))((^x.x) a)) a) 4. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 39291/2546655. ------ 1. ==[ start ]==> ((^a.(a b))((^b.(^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. ------ 39292/2547117. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(^x1.((a a) a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(^x1.((a a) a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.((a a) a))) 5. ==[ beta ]==> ((a (^y.y))(^z.((a a) a))) 6. ==[ alpha ]==> ((a (^x.x))(^y.((a a) a))) REDUCED to normal form. ------ 39293/2547249. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))(^y1.(^z1.z1)))((^z.(^x1.x1))(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(^x1.(^y1.y1)))((^z1.(^x2.x2))(^y2.(^z2.z2))))) 5. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.y1)))((^z1.(^x2.x2))(^y2.(^z2.z2)))) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 7. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 39294/2547288. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^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. ------ 39295/2547423. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 39296/2547567. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 39297/2547711. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(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. ------ 39298/2547846. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^a.(^b.(^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. ------ 39299/2547924. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((((^z.(^x1.x1))((^y1.y1) a))((^z.(^x1.x1))((^y1.y1) a)))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1))((^z1.z1) a)))(^x2.x2)) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))((^z1.z1) a)))(^x2.x2)) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))((^x1.x1) a)))(^y1.y1)) 7. ==[ beta ]==> (((^y.(^z.z))((^x1.x1) a))(^y1.y1)) 8. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 39300/2548242. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^c.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(^x1.a))) 3. ==[ beta ]==> ((a (^y.b))(^z.(^x1.a))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.a))) REDUCED to normal form. ------ 39301/2548341. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.b)((^y.y) a))(^x1.x1)) 4. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.z)) 5. ==[ beta ]==> (b (^z.z)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 39302/2548404. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^b.c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.c)) REDUCED to normal form. ------ 39303/2548467. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(a (^z.z)))) REDUCED to normal form. ------ 39304/2548521. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 39305/2548575. ------ 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. ------ 39306/2548602. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^b.(a a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.(a a))) 3. ==[ beta ]==> (((a b) a)(^y.(a a))) 4. ==[ alpha ]==> (((a b) a)(^x.(a a))) REDUCED to normal form. ------ 39307/2548629. ------ 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. ------ 39308/2548656. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^a.(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 39309/2548686. ------ 1. ==[ start ]==> ((a (^a.a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 39310/2548713. ------ 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. ------ 39311/2548722. ------ 1. ==[ start ]==> (((a a) a)((^b.(a a)) c)) 2. ==[ alpha ]==> (((a a) a)((^x.(a a)) c)) 3. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 39312/2548740. ------ 1. ==[ start ]==> (((^a.a)(a a))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a a))((a b)((^y.y) a))) 3. ==[ beta ]==> ((a a)((a b)((^y.y) a))) 4. ==[ alpha ]==> ((a a)((a b)((^x.x) a))) 5. ==[ beta ]==> ((a a)((a b) a)) REDUCED to normal form. ------ 39313/2548767. ------ 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. ------ 39314/2548821. ------ 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 ]==> ((^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. ------ 39315/2548848. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^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. ------ 39316/2548875. ------ 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.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.y))((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 (^y.y))(a a))) REDUCED to normal form. ------ 39317/2548902. ------ 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)(^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. ------ 39318/2548965. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 39319/2548974. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 39320/2549001. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)((^z.z) a))) 3. ==[ beta ]==> ((a a)((^y.b)((^z.z) a))) 4. ==[ alpha ]==> ((a a)((^x.b)((^y.y) a))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 39321/2549046. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 39322/2549100. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (((a a)(^x.a))(a (^z.b))) 4. ==[ alpha ]==> (((a a)(^x.a))(a (^y.b))) REDUCED to normal form. ------ 39323/2549127. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.(a a)))) REDUCED to normal form. ------ 39324/2549217. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.(a a))(^a.(^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. ------ 39325/2549244. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.b)(^b.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. ------ 39326/2549388. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(b ((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a a))(b ((^y.y)(a a)))) 4. ==[ alpha ]==> ((a (a a))(b ((^x.x)(a a)))) 5. ==[ beta ]==> ((a (a a))(b (a a))) REDUCED to normal form. ------ 39327/2549415. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(a ((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(a ((a a)(^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. ------ 39328/2549424. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 39329/2549451. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(a a)) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(a a)) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a)) b)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 39330/2549469. ------ 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 b)(a (^y.y)))) 4. ==[ alpha ]==> (((a a)(a a))((a b)(a (^x.x)))) REDUCED to normal form. ------ 39331/2549478. ------ 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. ------ 39332/2549496. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(((a a) a) a)) REDUCED to normal form. ------ 39333/2549622. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(b (^z.(a a)))) 3. ==[ beta ]==> ((a (^y.y))(b (^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(b (^y.(a a)))) REDUCED to normal form. ------ 39334/2549631. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)((^z.z)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 39335/2549721. ------ 1. ==[ start ]==> (((a (a a)) b)(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a (a a)) b)(((a a) a)(^x.a))) REDUCED to normal form. ------ 39336/2549748. ------ 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.(y1 y1)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (a (((^y.y)(^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))(^z.(z z)))) 7. ==[ beta ]==> (a ((^y.y)(^z.(z z)))) 8. ==[ alpha ]==> (a ((^x.x)(^y.(y y)))) 9. ==[ beta ]==> (a (^y.(y y))) 10. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 39337/2549775. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 39338/2549829. ------ 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))) REDUCED to normal form. ------ 39339/2549856. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)(^z.(a a)))) REDUCED to normal form. ------ 39340/2549883. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1)(a a)) a)) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a)) a)) 5. ==[ beta ]==> ((^y.y)(((^z.z)(a a)) a)) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a)) a)) 7. ==[ beta ]==> (((^y.y)(a a)) a) 8. ==[ alpha ]==> (((^x.x)(a a)) a) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 39341/2549919. ------ 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)(^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. ------ 39342/2549973. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(z z)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 39343/2550000. ------ 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. ------ 39344/2550027. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a a)((^y.a)(^z.a))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.a))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 39345/2550054. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(^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. ------ 39346/2550090. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 39347/2550144. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((a a) a)(a (^z.z)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((a a) a)(a (^z.z)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((a a) a)(a (^z.z)))) 5. ==[ beta ]==> (a (((a a) a)(a (^z.z)))) 6. ==[ alpha ]==> (a (((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 39348/2550225. ------ 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)(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. ------ 39349/2550252. ------ 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.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. ------ 39350/2550315. ------ 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. ------ 39351/2550342. ------ 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. ------ 39352/2550369. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(^z.a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.a)) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.a)) REDUCED to normal form. ------ 39353/2550405. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(x x))(a (a a)))) 3. ==[ beta ]==> (((a a)((a a) a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 39354/2550432. ------ 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)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 39355/2550459. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> ((a (a (a a)))(^y.y)) 6. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 39356/2550486. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.a)(a b))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.y)(a b))) 3. ==[ beta ]==> (((a (a a)) a)((^y.y)(a b))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.x)(a b))) 5. ==[ beta ]==> (((a (a a)) a)(a b)) REDUCED to normal form. ------ 39357/2550513. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.b)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.b)(^x1.x1))) 5. ==[ beta ]==> ((a (^y.y))((^z.b)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.z))) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 39358/2550558. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b) 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. ------ 39359/2550567. ------ 1. ==[ start ]==> ((a (a b))((^b.(^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. ------ 39360/2550657. ------ 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. ------ 39361/2550720. ------ 1. ==[ start ]==> ((((a a) a) b)((^c.a) b)) 2. ==[ alpha ]==> ((((a a) a) b)((^x.a) b)) 3. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 39362/2550738. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (b ((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> (b ((^x.x)(a (^y.y)))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 39363/2550747. ------ 1. ==[ start ]==> (((a b) a)((^b.(^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. ------ 39364/2550765. ------ 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. ------ 39365/2550792. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (a a)))) 5. ==[ beta ]==> (((^y.y) a)(a (a a))) 6. ==[ alpha ]==> (((^x.x) a)(a (a a))) 7. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 39366/2550846. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a a)((a a) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a a)((a a) a))) REDUCED to normal form. ------ 39367/2550882. ------ 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 REDUCED to normal form. ------ 39368/2550909. ------ 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. ------ 39369/2550936. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.x))((a (a a))(^y.a))) REDUCED to normal form. ------ 39370/2550972. ------ 1. ==[ start ]==> (((a a)(a b))((^b.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. ------ 39371/2550999. ------ 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.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. ------ 39372/2551026. ------ 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)((a a) a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.z)((a a) a))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)((a a) a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)((a a) a))) 7. ==[ beta ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 39373/2551080. ------ 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))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (a ((^y.(^z.z))(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 39374/2551107. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((^z.a)(^z.a))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.a)(^z.a))) 5. ==[ beta ]==> ((((a a) a)(a (^x.x))) a) REDUCED to normal form. ------ 39375/2551134. ------ 1. ==[ start ]==> (((a b)(a a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.a)(^y.(y y)))) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 39376/2551161. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 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. ------ 39377/2551170. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(a a))(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 39378/2551197. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 39379/2551251. ------ 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. ------ 39380/2551332. ------ 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)))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 39381/2551368. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(^z.z))) 5. ==[ beta ]==> (((a a) a)((^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. ------ 39382/2551395. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 39383/2551422. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a (^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(a (^z.a))) REDUCED to normal form. ------ 39384/2551476. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 39385/2551503. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1)(^y1.y1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1)(^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(^x1.x1)) a)) 5. ==[ beta ]==> ((^y.(y y))(((^z.z)(^x1.x1)) a)) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z)) a)) 7. ==[ beta ]==> ((((^y.y)(^z.z)) a)(((^y.y)(^z.z)) a)) 8. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z)(^x1.x1)) a)) 9. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1)) a)) 10. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z)) a)) 11. ==[ beta ]==> (a (((^y.y)(^z.z)) a)) 12. ==[ alpha ]==> (a (((^x.x)(^y.y)) a)) 13. ==[ beta ]==> (a ((^y.y) a)) 14. ==[ alpha ]==> (a ((^x.x) a)) 15. ==[ beta ]==> (a a) REDUCED to normal form. ------ 39386/2551530. ------ 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. ------ 39387/2551557. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 39388/2551620. ------ 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)))) 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. ------ 39389/2551728. ------ 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. ------ 39390/2551755. ------ 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. ------ 39391/2551773. ------ 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. ------ 39392/2551782. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(y y))(a a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((a a)(a a))) REDUCED to normal form. ------ 39393/2551809. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 39394/2551836. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 39395/2552007. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 39396/2552016. ------ 1. ==[ start ]==> (((a b) c)((^b.a) b)) 2. ==[ alpha ]==> (((a b) c)((^x.a) b)) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 39397/2552043. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 39398/2552124. ------ 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.(^y1.y1)))) REDUCED to normal form. ------ 39399/2552151. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a a)(^z.a))) 3. ==[ beta ]==> ((a (^y.b))((a a)(^z.a))) 4. ==[ alpha ]==> ((a (^x.b))((a a)(^y.a))) REDUCED to normal form. ------ 39400/2552205. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.y1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1)) b)) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1)) b)) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 39401/2552250. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 39402/2552259. ------ 1. ==[ start ]==> (((a b)(^b.a))((^b.a) a)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a) a)) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 39403/2552286. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 39404/2552349. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.(^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)))(^z.z)) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 39405/2552376. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(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. ------ 39406/2552403. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(^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. ------ 39407/2552430. ------ 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)))) 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. ------ 39408/2552457. ------ 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. ------ 39409/2552484. ------ 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. ------ 39410/2552511. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.a)(a a))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 39411/2552538. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 39412/2552565. ------ 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. ------ 39413/2553081. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 39414/2556555. ------ 1. ==[ start ]==> ((^a.b)((^b.(a a)) c)) 2. ==[ alpha ]==> ((^x.b)((^y.(a a)) c)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 39415/2556825. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a b)(^b.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. ------ 39416/2556996. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 39417/2556999. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 39418/2557242. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 39419/2557251. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.((z z)(^x1.x1)))) REDUCED to normal form. ------ 39420/2557917. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^b.(^b.(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. ------ 39421/2558133. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.(^x1.(z z)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(^x1.(z z)))) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.(^x1.(z z)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.(y y)))) 7. ==[ beta ]==> ((a a)(^y.(^z.(y y)))) 8. ==[ alpha ]==> ((a a)(^x.(^y.(x x)))) REDUCED to normal form. ------ 39422/2558211. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.(^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. ------ 39423/2558391. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> ((((^y.y)(^z.z)) c) b) 4. ==[ alpha ]==> ((((^x.x)(^y.y)) c) b) 5. ==[ beta ]==> (((^y.y) c) b) 6. ==[ alpha ]==> (((^x.x) c) b) 7. ==[ beta ]==> (c b) REDUCED to normal form. ------ 39424/2558778. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (^y.(((^z.(z z))((^x1.x1) a))((^z.(z z))((^x1.x1) a)))) 4. ==[ alpha ]==> (^x.(((^y.(y y))((^z.z) a))((^x1.(x1 x1))((^y1.y1) a)))) 5. ==[ beta ]==> (^x.((((^z.z) a)((^z.z) a))((^x1.(x1 x1))((^y1.y1) a)))) 6. ==[ alpha ]==> (^x.((((^y.y) a)((^z.z) a))((^x1.(x1 x1))((^y1.y1) a)))) 7. ==[ beta ]==> (^x.((a ((^z.z) a))((^x1.(x1 x1))((^y1.y1) a)))) 8. ==[ alpha ]==> (^x.((a ((^y.y) a))((^z.(z z))((^x1.x1) a)))) 9. ==[ beta ]==> (^x.((a a)((^z.(z z))((^x1.x1) a)))) 10. ==[ alpha ]==> (^x.((a a)((^y.(y y))((^z.z) a)))) 11. ==[ beta ]==> (^x.((a a)(((^z.z) a)((^z.z) a)))) 12. ==[ alpha ]==> (^x.((a a)(((^y.y) a)((^z.z) a)))) 13. ==[ beta ]==> (^x.((a a)(a ((^z.z) a)))) 14. ==[ alpha ]==> (^x.((a a)(a ((^y.y) a)))) 15. ==[ beta ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 39425/2559024. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^b.(^c.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. ------ 39426/2559168. ------ 1. ==[ start ]==> (((a b) b)(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b) b)(^x.(^z.z))) 4. ==[ alpha ]==> (((a b) b)(^x.(^y.y))) REDUCED to normal form. ------ 39427/2559660. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a (^z.z))(^x1.a))((a (^z.z))(^x1.a)))(^y.y)) 4. ==[ alpha ]==> ((((a (^x.x))(^y.a))((a (^z.z))(^x1.a)))(^y1.y1)) REDUCED to normal form. ------ 39428/2559699. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a 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))) REDUCED to normal form. ------ 39429/2559915. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 39430/2559996. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.((^y.y) a))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^x.a)) REDUCED to normal form. ------ 39431/2560077. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(^x1.a))) 3. ==[ beta ]==> (b (^z.(^x1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 39432/2560086. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 39433/2560311. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(^b.b)) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 39434/2560338. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^c.(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.(^z.z))) 3. ==[ beta ]==> (((a b) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a b) a)(^x.(^y.y))) REDUCED to normal form. ------ 39435/2560392. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^b.a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.a)) REDUCED to normal form. ------ 39436/2560415. ------ 1. ==[ start ]==> (^a.(^a.(b a))) 2. ==[ alpha ]==> (^x.(^y.(b y))) 3. ==[ eta ]==> (^x.b) REDUCED to normal form. ------ 39437/2560416. ------ 1. ==[ start ]==> (a (^a.(b a))) 2. ==[ alpha ]==> (a (^x.(b x))) 3. ==[ eta ]==> (a b) REDUCED to normal form. ------ 39438/2560440. ------ 1. ==[ start ]==> (((^a.a) a)(((a a)(^a.a))(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))) REDUCED to normal form. ------ 39439/2560467. ------ 1. ==[ start ]==> (((a a) a)(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))(a (^y.y)))) 3. ==[ beta ]==> (((a a) a)((a a)(a (^y.y)))) 4. ==[ alpha ]==> (((a a) a)((a a)(a (^x.x)))) REDUCED to normal form. ------ 39440/2560476. ------ 1. ==[ start ]==> ((a b)((^b.(a a)) c)) 2. ==[ alpha ]==> ((a b)((^x.(a a)) c)) 3. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 39441/2560494. ------ 1. ==[ start ]==> (((a a)(^a.a))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a b)((^y.y) a))) 3. ==[ beta ]==> (((a a)(^x.x))((a b) a)) REDUCED to normal form. ------ 39442/2560521. ------ 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. ------ 39443/2560548. ------ 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)(^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. ------ 39444/2560575. ------ 1. ==[ start ]==> (((a a) b)((a (a a))((a a) a))) REDUCED to normal form. ------ 39445/2560602. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) a)(a b))) 3. ==[ beta ]==> (((a (^x.x)) a)(a (a b))) REDUCED to normal form. ------ 39446/2560629. ------ 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)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a (^z.z))(a a))) REDUCED to normal form. ------ 39447/2560647. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(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. ------ 39448/2560656. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)((a a)(^z.z)))) REDUCED to normal form. ------ 39449/2560692. ------ 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. ------ 39450/2560719. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(a a))(^z.(^x1.x1)))) 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. ------ 39451/2560746. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a b)(^b.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. ------ 39452/2560755. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.a)((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.a)((^y.b)((^z.z) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 39453/2560836. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(z z))((a a) a))) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z))((a a) a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(y y))((a a) a))) 5. ==[ beta ]==> (a ((^y.(y y))((a a) a))) 6. ==[ alpha ]==> (a ((^x.(x x))((a a) a))) 7. ==[ beta ]==> (a (((a a) a)((a a) a))) REDUCED to normal form. ------ 39454/2560863. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(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 REDUCED to normal form. ------ 39455/2560917. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^x.(x x)))((a a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a a)(^y.y))) REDUCED to normal form. ------ 39456/2560935. ------ 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) a)(((a a)(^y.y)) a)) 4. ==[ alpha ]==> (((a a) a)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 39457/2560962. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(a a)) b)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a) b)) REDUCED to normal form. ------ 39458/2560989. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a b) c)) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((a b) c)) 3. ==[ beta ]==> ((a (a a))((a b) c)) REDUCED to normal form. ------ 39459/2561052. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.(^a.a))(^b.(^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. ------ 39460/2561106. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.a)(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.b))) 5. ==[ beta ]==> ((^y.y)((^z.a)(^x1.b))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.b))) 7. ==[ beta ]==> ((^y.a)(^z.b)) 8. ==[ alpha ]==> ((^x.a)(^y.b)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 39461/2561133. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(^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. ------ 39462/2561142. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(b ((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(b (a a))) REDUCED to normal form. ------ 39463/2561169. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 39464/2561196. ------ 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. ------ 39465/2561223. ------ 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. ------ 39466/2561331. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y) a)((a a) a))) 3. ==[ beta ]==> ((b b)(((^y.y) a)((a a) a))) 4. ==[ alpha ]==> ((b b)(((^x.x) a)((a a) a))) 5. ==[ beta ]==> ((b b)(a ((a a) a))) REDUCED to normal form. ------ 39467/2561376. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (^x1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^x1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 39468/2561457. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.b)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.b)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)(a (^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((^y1.b)(a (^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(a (^z.z)))) 7. ==[ beta ]==> ((^y.b)(a (^z.z))) 8. ==[ alpha ]==> ((^x.b)(a (^y.y))) 9. ==[ beta ]==> b REDUCED to normal form. ------ 39469/2561511. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(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. ------ 39470/2561538. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.z))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^y.y)(^z.z))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 11. ==[ beta ]==> ((^y.y)(^z.z)) 12. ==[ alpha ]==> ((^x.x)(^y.y)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 39471/2561592. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(^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. ------ 39472/2561664. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a b) b)) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a b) b)) 3. ==[ beta ]==> (((a a)(^y.y))((a b) b)) 4. ==[ alpha ]==> (((a a)(^x.x))((a b) b)) REDUCED to normal form. ------ 39473/2561835. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.(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. ------ 39474/2561925. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (b (((^y.y)(^z.z))((^x1.x1) 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. ------ 39475/2561952. ------ 1. ==[ start ]==> ((((a a) a) a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 39476/2562006. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))((a a) a))) REDUCED to normal form. ------ 39477/2562033. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a a)(a b))) 3. ==[ beta ]==> ((a (^y.(y y)))((a a)(a b))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a a)(a b))) REDUCED to normal form. ------ 39478/2562051. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(a (^z.(a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(a (^z.(a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(a (^z.(a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))(a (^z.(a a)))) 6. ==[ alpha ]==> ((a ((^x.x) 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. ------ 39479/2562132. ------ 1. ==[ start ]==> ((a (^a.b))((^b.(^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. ------ 39480/2562150. ------ 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. ------ 39481/2562177. ------ 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) 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. ------ 39482/2562231. ------ 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. ------ 39483/2562258. ------ 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)) REDUCED to normal form. ------ 39484/2562285. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((a a) a) b)) REDUCED to normal form. ------ 39485/2562312. ------ 1. ==[ start ]==> ((a (a b))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((a (a b))(((^x.x)(^y.y)) c)) 3. ==[ beta ]==> ((a (a b))((^y.y) c)) 4. ==[ alpha ]==> ((a (a b))((^x.x) c)) 5. ==[ beta ]==> ((a (a b)) c) REDUCED to normal form. ------ 39486/2562321. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.(^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. ------ 39487/2562465. ------ 1. ==[ start ]==> ((((a a) a) b)(((a a) a)(a a))) REDUCED to normal form. ------ 39488/2562492. ------ 1. ==[ start ]==> (((a b) a)(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b) a)(((^x.x)(^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. ------ 39489/2562519. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (a a))((^y.y) a))) 3. ==[ beta ]==> (((a a)(^x.b))((a (a a)) a)) REDUCED to normal form. ------ 39490/2562573. ------ 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))((^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. ------ 39491/2562591. ------ 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 a)))(b (^y.a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(b (^x.a))) REDUCED to normal form. ------ 39492/2562600. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a a)((a a) a))) REDUCED to normal form. ------ 39493/2562672. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.(^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. ------ 39494/2562699. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((a (^x.(a a)))(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(a a)))(a ((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.(a a)))(a ((^y.y) a))) 7. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 39495/2562717. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x) a)(^y.(y y)))) 3. ==[ beta ]==> (((a a)(a b))(a (^y.(y y)))) 4. ==[ alpha ]==> (((a a)(a b))(a (^x.(x x)))) REDUCED to normal form. ------ 39496/2562744. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 39497/2562798. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((a a) a) a)) REDUCED to normal form. ------ 39498/2562825. ------ 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)(^y1.y1)) b)) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1)(^y1.y1)) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(^x1.x1)) b)) 5. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1)) b)) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z)) b)) 7. ==[ beta ]==> (a (((^y.y)(^z.z)) b)) 8. ==[ alpha ]==> (a (((^x.x)(^y.y)) b)) 9. ==[ beta ]==> (a ((^y.y) b)) 10. ==[ alpha ]==> (a ((^x.x) b)) 11. ==[ beta ]==> (a b) REDUCED to normal form. ------ 39499/2562915. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 39500/2562942. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 39501/2563077. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 39502/2563086. ------ 1. ==[ start ]==> (((a b) b)((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((a a)((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a b) b)((a a)(^y.y))) 4. ==[ alpha ]==> (((a b) b)((a a)(^x.x))) REDUCED to normal form. ------ 39503/2563131. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.(^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))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 39504/2563158. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 39505/2563212. ------ 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.(^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. ------ 39506/2563293. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^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. ------ 39507/2563392. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.(^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. ------ 39508/2563419. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(y y)) b)) 3. ==[ beta ]==> ((a ((a a) a))((^y.(y y)) b)) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(x x)) b)) 5. ==[ beta ]==> ((a ((a a) a))(b b)) REDUCED to normal form. ------ 39509/2563446. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^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. ------ 39510/2563527. ------ 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. ------ 39511/2563554. ------ 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. ------ 39512/2563581. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 39513/2563617. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 39514/2563761. ------ 1. ==[ start ]==> (((a b) c)(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a b) c)(((^x.x) a)(a a))) 3. ==[ beta ]==> (((a b) c)(a (a a))) REDUCED to normal form. ------ 39515/2563788. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 39516/2563815. ------ 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. ------ 39517/2563833. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(a (^z.(z z)))) 3. ==[ beta ]==> (((a a)(^y.y))(a (^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 39518/2563860. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a 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 REDUCED to normal form. ------ 39519/2563869. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(c b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(c b)) REDUCED to normal form. ------ 39520/2563896. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(b c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(b c)) 3. ==[ beta ]==> ((a (^y.b))(b c)) 4. ==[ alpha ]==> ((a (^x.b))(b c)) REDUCED to normal form. ------ 39521/2563914. ------ 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 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. ------ 39522/2563950. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(c (a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(c (a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(c (a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c (a a))) 5. ==[ beta ]==> ((^y.(^z.z))(c (a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(c (a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 39523/2563977. ------ 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. ------ 39524/2563995. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 39525/2564004. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 39526/2564031. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (^x1.x1))(a a))) 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. ------ 39527/2564058. ------ 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. ------ 39528/2564094. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 39529/2564121. ------ 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. ------ 39530/2564148. ------ 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)) REDUCED to normal form. ------ 39531/2564175. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a a) b)) REDUCED to normal form. ------ 39532/2564202. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1)) a)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1)) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1)) a)) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1)) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1)) a)) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 9. ==[ beta ]==> ((^y.(^z.z)) a) 10. ==[ alpha ]==> ((^x.(^y.y)) a) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 39533/2564229. ------ 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. ------ 39534/2564256. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a a)(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a a)(^y.y))) 3. ==[ beta ]==> (((a b) a)((a a)(^y.y))) 4. ==[ alpha ]==> (((a b) a)((a a)(^x.x))) REDUCED to normal form. ------ 39535/2564283. ------ 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. ------ 39536/2564310. ------ 1. ==[ start ]==> ((((a a)(^a.a))(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. ------ 39537/2564334. ------ 1. ==[ start ]==> ((^a.(b a)) a) 2. ==[ alpha ]==> ((^x.(b x)) a) 3. ==[ eta ]==> (b a) REDUCED to normal form. ------ 39538/2564336. ------ 1. ==[ start ]==> (^a.(a (b a))) 2. ==[ alpha ]==> (^x.(x (b x))) REDUCED to normal form. ------ 39539/2564337. ------ 1. ==[ start ]==> (a (a (b a))) REDUCED to normal form. ------ 39540/2564340. ------ 1. ==[ start ]==> ((^a.a)(^a.(b a))) 2. ==[ alpha ]==> ((^x.x)(^y.(b y))) 3. ==[ eta ]==> ((^x.x) b) 4. ==[ beta ]==> b REDUCED to normal form. ------ 39541/2568255. ------ 1. ==[ start ]==> ((^a.(b a))(^a.a)) 2. ==[ alpha ]==> ((^x.(b x))(^y.y)) 3. ==[ eta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 39542/2568258. ------ 1. ==[ start ]==> ((a (b a)) a) REDUCED to normal form. ------ 39543/2568264. ------ 1. ==[ start ]==> ((^a.a)(a (b a))) 2. ==[ alpha ]==> ((^x.x)(a (b a))) 3. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 39544/2568267. ------ 1. ==[ start ]==> ((a a)(^a.(b a))) 2. ==[ alpha ]==> ((a a)(^x.(b x))) 3. ==[ eta ]==> ((a a) b) REDUCED to normal form. ------ 39545/2568291. ------ 1. ==[ start ]==> ((^a.(a a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(x x))(((a a)(^y.y))(a a))) 3. ==[ beta ]==> ((((a a)(^y.y))(a a))(((a a)(^y.y))(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 39546/2568318. ------ 1. ==[ start ]==> ((^a.b)(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.b)(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 39547/2568399. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> ((((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))(^y.y)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.y1)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.y1)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.x1)) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 9. ==[ beta ]==> ((^y.y)(^z.z)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 39548/2569014. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 39549/2569083. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b) c)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 39550/2569209. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a (^x1.x1))(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. ------ 39551/2569473. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(a a)))) 7. ==[ beta ]==> (^y.((^z.z)(a a))) 8. ==[ alpha ]==> (^x.((^y.y)(a a))) 9. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 39552/2569905. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.(y y)))) REDUCED to normal form. ------ 39553/2569974. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 39554/2570472. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.b))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.b))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 39555/2570541. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (a a))(^z.a))) 3. ==[ beta ]==> (^y.(((a (a a))(^z.a))((a (a a))(^z.a)))) 4. ==[ alpha ]==> (^x.(((a (a a))(^y.a))((a (a a))(^z.a)))) REDUCED to normal form. ------ 39556/2571093. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(y y))(^z.((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))(^y.((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((^y.((^z.z)(^x1.x1)))(^y.((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 9. ==[ beta ]==> ((^y.y)(^z.z)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 39557/2571237. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.z))) REDUCED to normal form. ------ 39558/2571363. ------ 1. ==[ start ]==> (((^a.b) c)(^a.(^b.(^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. ------ 39559/2571462. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^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. ------ 39560/2571840. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^c.c)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.z)) 3. ==[ beta ]==> (b (^z.z)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 39561/2571849. ------ 1. ==[ start ]==> (((a b)(^b.a))(^b.(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 39562/2571993. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^a.c)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.c)) 3. ==[ beta ]==> ((a (a b))(^y.c)) 4. ==[ alpha ]==> ((a (a b))(^x.c)) REDUCED to normal form. ------ 39563/2572047. ------ 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 (^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))) REDUCED to normal form. ------ 39564/2572128. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(^a.b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(^z.b)) 3. ==[ beta ]==> (((a a)(a (^y.y)))(^z.b)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.b)) REDUCED to normal form. ------ 39565/2572155. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^a.(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(y y))) REDUCED to normal form. ------ 39566/2572179. ------ 1. ==[ start ]==> ((^a.(b a))(a a)) 2. ==[ alpha ]==> ((^x.(b x))(a a)) 3. ==[ eta ]==> (b (a a)) REDUCED to normal form. ------ 39567/2572182. ------ 1. ==[ start ]==> ((a (b a))(^a.a)) 2. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 39568/2572194. ------ 1. ==[ start ]==> ((a a)(a (b a))) REDUCED to normal form. ------ 39569/2572221. ------ 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. ------ 39570/2572248. ------ 1. ==[ start ]==> ((a b)(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a b)(((^x.x)(a a))(a (^y.y)))) 3. ==[ beta ]==> ((a b)((a a)(a (^y.y)))) 4. ==[ alpha ]==> ((a b)((a a)(a (^x.x)))) REDUCED to normal form. ------ 39571/2572257. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a)) c)) 3. ==[ beta ]==> ((a a)((^y.(a a)) c)) 4. ==[ alpha ]==> ((a a)((^x.(a a)) c)) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 39572/2572302. ------ 1. ==[ start ]==> (((a a)(a a))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 39573/2572329. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^x.x)))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (a (^x.x)))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 8. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 39574/2572428. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 39575/2572482. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 39576/2572527. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a b)(^b.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. ------ 39577/2572554. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(y y)))) 5. ==[ beta ]==> (((a a) a)(^y.(y y))) 6. ==[ alpha ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 39578/2572563. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 39579/2572590. ------ 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)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 39580/2572617. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y))((a a) a))) 3. ==[ beta ]==> (((a a)(^x.a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 39581/2572635. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^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. ------ 39582/2572644. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 39583/2572671. ------ 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.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. ------ 39584/2572779. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.b)(^b.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. ------ 39585/2572860. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a) 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. ------ 39586/2572887. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.a)(^y.b))) 3. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 39587/2572914. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(^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. ------ 39588/2572941. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.x1))) REDUCED to normal form. ------ 39589/2572986. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(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 a)) REDUCED to normal form. ------ 39590/2573013. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b) c)) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 39591/2573031. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((a a) a)((^x.x) a))) 3. ==[ beta ]==> (((a a)(a (a a)))(((a a) a) a)) REDUCED to normal form. ------ 39592/2573058. ------ 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)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(^z.z))(a (a a)))) 5. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(a (a a)))) 6. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(a (a a)))) 7. ==[ beta ]==> (((a (^x.x)) a)(a (a a))) REDUCED to normal form. ------ 39593/2573085. ------ 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. ------ 39594/2573112. ------ 1. ==[ start ]==> (((a (a a))(a a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))(a a))(((^x.x) a)((a a) a))) 3. ==[ beta ]==> (((a (a a))(a a))(a ((a a) a))) REDUCED to normal form. ------ 39595/2573139. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.z))(a b))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(a b))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a b))) REDUCED to normal form. ------ 39596/2573229. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a b)(^a.(^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. ------ 39597/2573238. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.b)(a (^y.y)))) 3. ==[ beta ]==> (((a (a a)) b) b) REDUCED to normal form. ------ 39598/2573283. ------ 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))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 x1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z z))) 9. ==[ beta ]==> ((^y.y)(^z.(z z))) 10. ==[ alpha ]==> ((^x.x)(^y.(y y))) 11. ==[ beta ]==> (^y.(y y)) 12. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 39599/2573292. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 39600/2573310. ------ 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. ------ 39601/2573319. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(((^x1.x1)(^y1.y1))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((^x1.x1)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)(^x1.x1))) 9. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.x1)) 10. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 39602/2573346. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.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. ------ 39603/2573364. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(^x1.b))) REDUCED to normal form. ------ 39604/2573373. ------ 1. ==[ start ]==> (((a (a a))(^a.(^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. ------ 39605/2573400. ------ 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. ------ 39606/2573661. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.b) b)) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.b) b)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.b) b)) 5. ==[ beta ]==> (a ((^z.b) b)) 6. ==[ alpha ]==> (a ((^x.b) b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 39607/2573778. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(c (^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(c (^x1.a))) REDUCED to normal form. ------ 39608/2573805. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(b (^z.b))) 3. ==[ beta ]==> ((a (^y.(y y)))(b (^z.b))) 4. ==[ alpha ]==> ((a (^x.(x x)))(b (^y.b))) REDUCED to normal form. ------ 39609/2573832. ------ 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. ------ 39610/2573859. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.b)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.b)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)(a a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 39611/2573904. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^x.b))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.a))) 5. ==[ beta ]==> ((a (^x.b))(^z.a)) 6. ==[ alpha ]==> ((a (^x.b))(^y.a)) REDUCED to normal form. ------ 39612/2574075. ------ 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)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 39613/2574093. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> ((^y.b)(((^z.z)(^x1.x1)) c)) 4. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z)) c)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 39614/2574255. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^c.a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.a) b)) 3. ==[ beta ]==> (b ((^z.a) b)) 4. ==[ alpha ]==> (b ((^x.a) b)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 39615/2574282. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.(^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. ------ 39616/2574345. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(c (^b.(^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. ------ 39617/2574372. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(b (^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(b (^y.a))) REDUCED to normal form. ------ 39618/2574399. ------ 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 REDUCED to normal form. ------ 39619/2574444. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((^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. ------ 39620/2574453. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 39621/2574471. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (a a))(^y.a))) REDUCED to normal form. ------ 39622/2574642. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(y y))(^z.a))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.a))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.a))) 5. ==[ beta ]==> (b ((^y.a)(^y.a))) 6. ==[ alpha ]==> (b ((^x.a)(^y.a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 39623/2574768. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.(^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. ------ 39624/2574858. ------ 1. ==[ start ]==> (((a b) b)(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(b (^x.(^y.y)))) REDUCED to normal form. ------ 39625/2574903. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.z))) 7. ==[ beta ]==> ((a a)((^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. ------ 39626/2574912. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.(^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. ------ 39627/2574930. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (a a))(^a.(^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. ------ 39628/2574939. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((a (^x1.x1))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 39629/2574984. ------ 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 (^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a (^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))(^z1.(z1 z1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.y1))(^z1.(z1 z1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))(^y1.(y1 y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(^y1.(y1 y1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.(x1 x1)))) 9. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(x1 x1)))) 10. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(z z)))) 11. ==[ beta ]==> ((a (^y.y))(^z.(z z))) 12. ==[ alpha ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 39630/2574993. ------ 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. ------ 39631/2575020. ------ 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)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y.y)((^z.z)(^x1.x1)))) 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. ------ 39632/2575047. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.(^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. ------ 39633/2575065. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a (a a)) b)) 3. ==[ beta ]==> (b ((a (a a)) b)) REDUCED to normal form. ------ 39634/2575074. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 39635/2575101. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 39636/2575137. ------ 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. ------ 39637/2575164. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(a (^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a b))(a (^y.y))) REDUCED to normal form. ------ 39638/2575191. ------ 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. ------ 39639/2575218. ------ 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. ------ 39640/2575245. ------ 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. ------ 39641/2575272. ------ 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. ------ 39642/2575290. ------ 1. ==[ start ]==> (((^a.b) c)(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(a (^y.(^z.z)))) 3. ==[ beta ]==> (b (a (^y.(^z.z)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 39643/2575389. ------ 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 x1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.(x1 x1)))) 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. ------ 39644/2575524. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 39645/2575533. ------ 1. ==[ start ]==> (((a b) c)(d (^a.a))) 2. ==[ alpha ]==> (((a b) c)(d (^x.x))) REDUCED to normal form. ------ 39646/2575560. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 39647/2575587. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(b (^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(b (^y.a))) REDUCED to normal form. ------ 39648/2575632. ------ 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)(^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. ------ 39649/2575641. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.a)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 39650/2575668. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 39651/2575686. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(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. ------ 39652/2575722. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 39653/2575749. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(^z.z))(^x1.(^y1.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. ------ 39654/2575767. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a a) c)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a a) c)) 3. ==[ beta ]==> (b ((a a) c)) REDUCED to normal form. ------ 39655/2575776. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 39656/2575830. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 39657/2575893. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(b b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(b b)) 3. ==[ beta ]==> (((a (^x.x))(a a))(b b)) REDUCED to normal form. ------ 39658/2575920. ------ 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. ------ 39659/2575947. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(b (a a))) REDUCED to normal form. ------ 39660/2575974. ------ 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 (a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(a (a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a (a (^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a (a (^x1.x1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a (a (^z.z)))) 7. ==[ beta ]==> ((^y.y)(a (a (^z.z)))) 8. ==[ alpha ]==> ((^x.x)(a (a (^y.y)))) 9. ==[ beta ]==> (a (a (^y.y))) 10. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 39661/2576001. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a a)(a a))) REDUCED to normal form. ------ 39662/2576028. ------ 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. ------ 39663/2576055. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(a b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(a b)) 3. ==[ beta ]==> (((a a)(a (^y.y)))(a b)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(a b)) REDUCED to normal form. ------ 39664/2576082. ------ 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. ------ 39665/2576106. ------ 1. ==[ start ]==> ((^a.(b a)) b) 2. ==[ alpha ]==> ((^x.(b x)) b) 3. ==[ eta ]==> (b b) REDUCED to normal form. ------ 39666/2576109. ------ 1. ==[ start ]==> ((a (b a))(a a)) REDUCED to normal form. ------ 39667/2576130. ------ 1. ==[ start ]==> ((^a.(^a.a))(^a.(b a))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(b z))) 3. ==[ eta ]==> ((^x.(^y.y)) b) 4. ==[ beta ]==> (^y.y) 5. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 39668/2576373. ------ 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)))) REDUCED to normal form. ------ 39669/2580036. ------ 1. ==[ start ]==> ((^a.(b a))(^a.(^a.a))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(^z.z))) 3. ==[ eta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 39670/2580039. ------ 1. ==[ start ]==> ((a (b a)) b) REDUCED to normal form. ------ 39671/2580063. ------ 1. ==[ start ]==> ((^a.(^a.a))(a (b a))) 2. ==[ alpha ]==> ((^x.(^y.y))(a (b a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 39672/2580066. ------ 1. ==[ start ]==> ((a (^a.a))(^a.(b a))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(b y))) 3. ==[ eta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 39673/2580144. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b)((^x1.x1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 39674/2580306. ------ 1. ==[ start ]==> ((^a.(^b.a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> (^y.((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> (^x.((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 39675/2580309. ------ 1. ==[ start ]==> ((a (^b.a))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 39676/2580378. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(a a))(a (^x1.x1)))) 3. ==[ eta ]==> ((^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. ------ 39677/2580570. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(^y.((a a)(^z.z)))) 3. ==[ beta ]==> (((a a) a)(^y.((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a) a)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 39678/2580648. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.b)(^b.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. ------ 39679/2580873. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b)(a (^x1.x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 39680/2581431. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.a)(^z.a))) 3. ==[ beta ]==> ((((^y.a)(^z.a))((^y.a)(^z.a)))((^y.a)(^z.a))) 4. ==[ alpha ]==> ((((^x.a)(^y.a))((^z.a)(^x1.a)))((^y1.a)(^z1.a))) 5. ==[ beta ]==> ((a ((^z.a)(^x1.a)))((^y1.a)(^z1.a))) 6. ==[ alpha ]==> ((a ((^x.a)(^y.a)))((^z.a)(^x1.a))) 7. ==[ beta ]==> ((a a)((^z.a)(^x1.a))) 8. ==[ alpha ]==> ((a a)((^x.a)(^y.a))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 39681/2581893. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(^x1.(a x1))) 3. ==[ eta ]==> ((((^x.x)(^y.y))(a (^z.z))) a) 4. ==[ beta ]==> (((^y.y)(a (^z.z))) a) 5. ==[ alpha ]==> (((^x.x)(a (^y.y))) a) 6. ==[ beta ]==> ((a (^y.y)) a) 7. ==[ alpha ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 39682/2581944. ------ 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 b) REDUCED to normal form. ------ 39683/2582433. ------ 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. ------ 39684/2582538. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.a)(^x1.(x1 x1)))((^z.a)(^x1.(x1 x1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.a)(^z.(z z)))((^x1.a)(^y1.(y1 y1))))) 5. ==[ beta ]==> (((^y.a)(^z.(z z)))((^x1.a)(^y1.(y1 y1)))) 6. ==[ alpha ]==> (((^x.a)(^y.(y y)))((^z.a)(^x1.(x1 x1)))) 7. ==[ beta ]==> (a ((^z.a)(^x1.(x1 x1)))) 8. ==[ alpha ]==> (a ((^x.a)(^y.(y y)))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 39685/2583027. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 39686/2583162. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 39687/2583213. ------ 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 ((^z.a)(a (^x1.x1))))(^y1.y1)) 6. ==[ alpha ]==> ((a ((^x.a)(a (^y.y))))(^z.z)) 7. ==[ beta ]==> ((a a)(^z.z)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 39688/2583387. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 39689/2583639. ------ 1. ==[ start ]==> (((a b)(^b.a))(^c.c)) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 39690/2583729. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(^z.y))) REDUCED to normal form. ------ 39691/2583783. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 39692/2583837. ------ 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.(^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. ------ 39693/2583891. ------ 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. ------ 39694/2583918. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^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))) REDUCED to normal form. ------ 39695/2583945. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^b.(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 39696/2583969. ------ 1. ==[ start ]==> ((^a.(b a))(a (^a.a))) 2. ==[ alpha ]==> ((^x.(b x))(a (^y.y))) 3. ==[ eta ]==> (b (a (^y.y))) 4. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 39697/2583972. ------ 1. ==[ start ]==> ((a (b a))(^a.(^a.a))) 2. ==[ alpha ]==> ((a (b a))(^x.(^y.y))) REDUCED to normal form. ------ 39698/2584002. ------ 1. ==[ start ]==> ((a (^a.a))(a (b a))) 2. ==[ alpha ]==> ((a (^x.x))(a (b a))) REDUCED to normal form. ------ 39699/2584029. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a a))) 5. ==[ beta ]==> (((a a)(^y.y))(a a)) 6. ==[ alpha ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 39700/2584056. ------ 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)))) 5. ==[ beta ]==> ((a a)((a a)(a (^y.y)))) 6. ==[ alpha ]==> ((a a)((a a)(a (^x.x)))) REDUCED to normal form. ------ 39701/2584065. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a)) c)) 3. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 39702/2584083. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)((^z.z) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a b) a)) REDUCED to normal form. ------ 39703/2584137. ------ 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)(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 39704/2584164. ------ 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) a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((a a) a))) 5. ==[ beta ]==> ((a (a a))((a a) a)) REDUCED to normal form. ------ 39705/2584191. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) a)(a b))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(a b))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(a b))) 5. ==[ beta ]==> ((a (^x.x))(a (a b))) REDUCED to normal form. ------ 39706/2584218. ------ 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.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. ------ 39707/2584245. ------ 1. ==[ start ]==> ((a (^b.a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 39708/2584281. ------ 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)(((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. ------ 39709/2584317. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> ((a a)((^y.(a a))(a (^z.z)))) 4. ==[ alpha ]==> ((a a)((^x.(a a))(a (^y.y)))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 39710/2584362. ------ 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. ------ 39711/2584389. ------ 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)))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 39712/2584416. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (a a))(^y.a))) REDUCED to normal form. ------ 39713/2584443. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) a)(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (^y1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.b))) REDUCED to normal form. ------ 39714/2584470. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 39715/2584506. ------ 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) a)((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a) a)((^x.x)((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. ------ 39716/2584560. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 39717/2584578. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a b) c)) 2. ==[ alpha ]==> (((^x.(x x)) a)((a b) c)) 3. ==[ beta ]==> ((a a)((a b) c)) REDUCED to normal form. ------ 39718/2584587. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.b)(^y.a))) 3. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 39719/2584731. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(b ((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y)(a a)))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 39720/2584785. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> (((a a)(a 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. ------ 39721/2584794. ------ 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. ------ 39722/2584812. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(a (^z.z)))) REDUCED to normal form. ------ 39723/2584947. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 39724/2584974. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a a)((^x1.x1)(a a)))) 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. ------ 39725/2585037. ------ 1. ==[ start ]==> (((a (a a)) b)((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 39726/2585064. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((a a) a)(^z.a))) 3. ==[ beta ]==> (((^y.y) a)(((a a) a)(^z.a))) 4. ==[ alpha ]==> (((^x.x) a)(((a a) a)(^y.a))) 5. ==[ beta ]==> (a (((a a) a)(^y.a))) 6. ==[ alpha ]==> (a (((a a) a)(^x.a))) REDUCED to normal form. ------ 39727/2585091. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^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. ------ 39728/2585118. ------ 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.(^x1.x1)))) REDUCED to normal form. ------ 39729/2585145. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)(^z.a))) 5. ==[ beta ]==> ((a (^x.a))(a (^z.a))) 6. ==[ alpha ]==> ((a (^x.a))(a (^y.a))) REDUCED to normal form. ------ 39730/2585172. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.z))(^x1.b))) REDUCED to normal form. ------ 39731/2585199. ------ 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. ------ 39732/2585235. ------ 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)(^y.y))((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(^z.z))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 39733/2585262. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.b)(^a.(^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. ------ 39734/2585316. ------ 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. ------ 39735/2585343. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)((^y.(y y))(^z.(^x1.x1)))) 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. ------ 39736/2585370. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.a)(^y.a))) 3. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 39737/2585406. ------ 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. ------ 39738/2585460. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a b)(a a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a b)(a a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a b)(a a))) 5. ==[ beta ]==> (a ((a b)(a a))) REDUCED to normal form. ------ 39739/2585496. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^c.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. ------ 39740/2585541. ------ 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. ------ 39741/2585568. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)((^z1.z1)(^x2.x2)))) 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. ------ 39742/2585622. ------ 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)((^y.y) 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))) 7. ==[ beta ]==> ((a a)((a a)(a b))) REDUCED to normal form. ------ 39743/2585658. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a b)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a b)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))((a b)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 39744/2585685. ------ 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. ------ 39745/2585721. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 39746/2585748. ------ 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 x1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(x1 x1))(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))(a (a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((a (a a))(a (a a)))) REDUCED to normal form. ------ 39747/2585775. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 39748/2585802. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(^z.z))((a a) a))) 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. ------ 39749/2585829. ------ 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 (^x.x))(a b)) REDUCED to normal form. ------ 39750/2585856. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.b)(^y.y))) 3. ==[ beta ]==> ((((a a) a)(a a)) b) REDUCED to normal form. ------ 39751/2585874. ------ 1. ==[ start ]==> (((^a.b) a)(((a a) a) b)) 2. ==[ alpha ]==> (((^x.b) a)(((a a) a) b)) 3. ==[ beta ]==> (b (((a a) a) b)) REDUCED to normal form. ------ 39752/2585883. ------ 1. ==[ start ]==> ((a (a b))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 39753/2586036. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.b) a)) 2. ==[ alpha ]==> ((((a a) a) b)((^x.b) a)) 3. ==[ beta ]==> ((((a a) a) b) b) REDUCED to normal form. ------ 39754/2586054. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((a a) a)(a a))) 3. ==[ beta ]==> (b (((a a) a)(a a))) REDUCED to normal form. ------ 39755/2586063. ------ 1. ==[ start ]==> (((a b) a)((^c.a) b)) 2. ==[ alpha ]==> (((a b) a)((^x.a) b)) 3. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 39756/2586081. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a b)(((^y.y)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a b)((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> ((a b)((^x.x)(a (^y.y)))) 7. ==[ beta ]==> ((a b)(a (^y.y))) 8. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 39757/2586090. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.(^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. ------ 39758/2586108. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a (a a))((^z.z) a))) 3. ==[ beta ]==> ((^y.y)((a (a 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. ------ 39759/2586162. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a (^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((a (^x.x))(^z.z))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 39760/2586225. ------ 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. ------ 39761/2586252. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.x))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 39762/2586288. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(x x))((^y.y) a))) 3. ==[ beta ]==> (((a a)(a b))(((^y.y) a)((^y.y) a))) 4. ==[ alpha ]==> (((a a)(a b))(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> (((a a)(a b))(a ((^y.y) a))) 6. ==[ alpha ]==> (((a a)(a b))(a ((^x.x) a))) 7. ==[ beta ]==> (((a a)(a b))(a a)) REDUCED to normal form. ------ 39763/2586315. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) a) REDUCED to normal form. ------ 39764/2586342. ------ 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))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 39765/2586369. ------ 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. ------ 39766/2586423. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 39767/2586441. ------ 1. ==[ start ]==> (((^a.b) b)((a (a a)) c)) 2. ==[ alpha ]==> (((^x.b) b)((a (a a)) c)) 3. ==[ beta ]==> (b ((a (a a)) c)) REDUCED to normal form. ------ 39768/2586450. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(x x))(^y.a))) 3. ==[ beta ]==> (((a b)(a a))((^y.a)(^y.a))) 4. ==[ alpha ]==> (((a b)(a a))((^x.a)(^y.a))) 5. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 39769/2586477. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((a (a a))((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> ((a (a a))((^x.a)(^y.(y y)))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 39770/2586486. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(c (a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c (a (a a)))) 3. ==[ beta ]==> ((^y.(a a))(c (a (a a)))) 4. ==[ alpha ]==> ((^x.(a a))(c (a (a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 39771/2586513. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(b ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((^y.y)(^z.z))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 39772/2586567. ------ 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.y1))(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(a a))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(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. ------ 39773/2586648. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 39774/2586711. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 39775/2586738. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 39776/2586792. ------ 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))(^x1.(x1 x1)))) REDUCED to normal form. ------ 39777/2586819. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))((a a)(^y.(^z.z)))) 7. ==[ beta ]==> (((a a)(^y.(^z.z)))((a a)(^y.(^z.z)))) 8. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 39778/2586846. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> ((((a a) a)(^x.a))((^z.z) a)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y) a)) 5. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 39779/2586873. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (a a)) b)) REDUCED to normal form. ------ 39780/2586936. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 39781/2586963. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.a)(^b.(^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. ------ 39782/2587071. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) 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. ------ 39783/2587098. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 39784/2587125. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(y y))(a a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))(a a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(a a))) 5. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 39785/2587152. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 39786/2587323. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 39787/2587332. ------ 1. ==[ start ]==> (((a b) c)((^a.(a a)) a)) 2. ==[ alpha ]==> (((a b) c)((^x.(x x)) a)) 3. ==[ beta ]==> (((a b) c)(a a)) REDUCED to normal form. ------ 39788/2587359. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 39789/2587404. ------ 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))) 5. ==[ beta ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 39790/2587440. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a (^z.z))) REDUCED to normal form. ------ 39791/2587467. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.b))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 39792/2587485. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(b c)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(b c)) 3. ==[ beta ]==> ((((a a) a)((a a) a))(b c)) REDUCED to normal form. ------ 39793/2587521. ------ 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. ------ 39794/2587548. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a (^y.y)) b)) REDUCED to normal form. ------ 39795/2587566. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(b (a (^z.z)))) 3. ==[ beta ]==> (b (b (a (^z.z)))) 4. ==[ alpha ]==> (b (b (a (^x.x)))) REDUCED to normal form. ------ 39796/2587575. ------ 1. ==[ start ]==> (((a b)(^b.a))((a a) c)) 2. ==[ alpha ]==> (((a b)(^x.a))((a a) c)) REDUCED to normal form. ------ 39797/2587602. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 39798/2587629. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 39799/2587665. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(a (^y.a))) REDUCED to normal form. ------ 39800/2587692. ------ 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))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 39801/2587719. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 39802/2587746. ------ 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))(^y.y)) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.x)) REDUCED to normal form. ------ 39803/2587773. ------ 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)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 9. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 11. ==[ beta ]==> (^y.(^z.z)) 12. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 39804/2587800. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(b (^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(b (^x.x))) REDUCED to normal form. ------ 39805/2587827. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(a (^y.(^z.z)))) 3. ==[ beta ]==> (((a b) a)(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a b) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 39806/2587854. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.z)(a a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.z)(a a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(a a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 39807/2587881. ------ 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)(^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 39808/2587905. ------ 1. ==[ start ]==> ((^a.(b a)) c) 2. ==[ alpha ]==> ((^x.(b x)) c) 3. ==[ eta ]==> (b c) REDUCED to normal form. ------ 39809/2587908. ------ 1. ==[ start ]==> ((a (b a))(a (^a.a))) 2. ==[ alpha ]==> ((a (b a))(a (^x.x))) REDUCED to normal form. ------ 39810/2591844. ------ 1. ==[ start ]==> ((^a.(b a))(^b.a)) 2. ==[ alpha ]==> ((^x.(b x))(^y.a)) 3. ==[ eta ]==> (b (^y.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 39811/2591847. ------ 1. ==[ start ]==> ((a (b a)) c) REDUCED to normal form. ------ 39812/2591892. ------ 1. ==[ start ]==> (((^a.a) a)(^a.(b a))) 2. ==[ alpha ]==> (((^x.x) a)(^y.(b y))) 3. ==[ eta ]==> (((^x.x) a) b) 4. ==[ beta ]==> (a b) REDUCED to normal form. ------ 39813/2591925. ------ 1. ==[ start ]==> ((^a.b)((^c.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z)) b)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 39814/2592123. ------ 1. ==[ start ]==> ((^a.(^b.a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (^x.(b (^y.(^z.z)))) REDUCED to normal form. ------ 39815/2592195. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a)(a a))(^a.(^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. ------ 39816/2592366. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(^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. ------ 39817/2592465. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a b) c)) 2. ==[ alpha ]==> ((^x.(x (x x)))((a b) c)) 3. ==[ beta ]==> (((a b) c)(((a b) c)((a b) c))) REDUCED to normal form. ------ 39818/2592648. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.((x1 x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.((x1 x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((z z)(^x1.x1)))) REDUCED to normal form. ------ 39819/2593512. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^c.(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(a b))) REDUCED to normal form. ------ 39820/2593581. ------ 1. ==[ start ]==> ((^a.(^a.b))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 39821/2593761. ------ 1. ==[ start ]==> ((^a.(a b))(((a a) a) b)) 2. ==[ alpha ]==> ((^x.(x b))(((a a) a) b)) 3. ==[ beta ]==> ((((a a) a) b) b) REDUCED to normal form. ------ 39822/2593917. ------ 1. ==[ start ]==> ((((a a) a) b)(^a.(a b))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(x b))) REDUCED to normal form. ------ 39823/2594079. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^c.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.((a a) a))) 5. ==[ beta ]==> ((^y.a)(^z.((a a) a))) 6. ==[ alpha ]==> ((^x.a)(^y.((a a) a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 39824/2594148. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.(^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. ------ 39825/2594970. ------ 1. ==[ start ]==> (((^a.b) c)(^c.(a (a a)))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(a (a a)))) 3. ==[ beta ]==> (b (^y.(a (a a)))) 4. ==[ alpha ]==> (b (^x.(a (a a)))) REDUCED to normal form. ------ 39826/2595030. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((((^z.z) a)(^x1.(^y1.y1)))(((^z.z) a)(^x1.(^y1.y1))))(^y.y)) 4. ==[ alpha ]==> (((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1))))(^x2.x2)) 5. ==[ beta ]==> (((a (^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1))))(^x2.x2)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(((^z.z) a)(^x1.(^y1.y1))))(^z1.z1)) 7. ==[ beta ]==> (((a (^x.(^y.y)))(a (^x1.(^y1.y1))))(^z1.z1)) 8. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 39827/2595204. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 39828/2595213. ------ 1. ==[ start ]==> (((a b) c)(^a.(a (a a)))) 2. ==[ alpha ]==> (((a b) c)(^x.(x (x x)))) REDUCED to normal form. ------ 39829/2595312. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(^x1.(^y1.(y1 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. ------ 39830/2595483. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 39831/2595546. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^b.c)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.c)) REDUCED to normal form. ------ 39832/2595600. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^c.(^a.(^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. ------ 39833/2595708. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^b.b)) 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. ------ 39834/2595786. ------ 1. ==[ start ]==> ((^a.(b a))((^a.a) a)) 2. ==[ alpha ]==> ((^x.(b x))((^y.y) a)) 3. ==[ eta ]==> (b ((^y.y) a)) 4. ==[ alpha ]==> (b ((^x.x) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 39835/2595789. ------ 1. ==[ start ]==> ((a (b a))(^b.a)) 2. ==[ alpha ]==> ((a (b a))(^x.a)) REDUCED to normal form. ------ 39836/2595837. ------ 1. ==[ start ]==> (((^a.a) a)(a (b a))) 2. ==[ alpha ]==> (((^x.x) a)(a (b a))) 3. ==[ beta ]==> (a (a (b a))) REDUCED to normal form. ------ 39837/2595864. ------ 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. ------ 39838/2595873. ------ 1. ==[ start ]==> ((a b)((^c.(^a.a)) b)) 2. ==[ alpha ]==> ((a b)((^x.(^y.y)) b)) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 39839/2595891. ------ 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)))) 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. ------ 39840/2595918. ------ 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. ------ 39841/2595945. ------ 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 a)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a (a a)))) 5. ==[ beta ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 39842/2595972. ------ 1. ==[ start ]==> (((a a) b)(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)((^x.x)((^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. ------ 39843/2595999. ------ 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. ------ 39844/2596026. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)(a b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (a b))) REDUCED to normal form. ------ 39845/2596053. ------ 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.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((a (^z.z))(a a))) REDUCED to normal form. ------ 39846/2596071. ------ 1. ==[ start ]==> ((a (^b.a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 39847/2596116. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 39848/2596143. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a)(a a))(^a.(^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. ------ 39849/2596152. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.a)((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 39850/2596179. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((^y1.b)((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z) a))) 5. ==[ beta ]==> ((^y.b)((^z.z) a)) 6. ==[ alpha ]==> ((^x.b)((^y.y) a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 39851/2596233. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (a ((^y.(^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 39852/2596260. ------ 1. ==[ start ]==> (((^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) 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. ------ 39853/2596314. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(^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. ------ 39854/2596359. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 39855/2596386. ------ 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. ------ 39856/2596413. ------ 1. ==[ start ]==> ((a (a (a a)))((a b) c)) REDUCED to normal form. ------ 39857/2596422. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.b)(^b.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. ------ 39858/2596449. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 39859/2596530. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a)(^z.b))) 3. ==[ beta ]==> ((a (a a))((^y.a)(^z.b))) 4. ==[ alpha ]==> ((a (a a))((^x.a)(^y.b))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 39860/2596557. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1))(^z1.(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. ------ 39861/2596566. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(b (a a))) REDUCED to normal form. ------ 39862/2596593. ------ 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. ------ 39863/2596620. ------ 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. ------ 39864/2596656. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.b) c)) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.b) c)) 3. ==[ beta ]==> (((a a)(a (a a))) b) REDUCED to normal form. ------ 39865/2596728. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((b b)((a (a a))((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((b b)((a (a a))((^x.x)(^y.y)))) 5. ==[ beta ]==> ((b b)((a (a a))(^y.y))) 6. ==[ alpha ]==> ((b b)((a (a a))(^x.x))) REDUCED to normal form. ------ 39866/2596773. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(c (^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c (^x1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(c (^x1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(c (^z.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 39867/2596800. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 39868/2596854. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(a a))(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(a a))(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))(a a))) 5. ==[ beta ]==> ((^y.y)((^y1.(a a))(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))(a a))) 7. ==[ beta ]==> ((^y.(a a))(a a)) 8. ==[ alpha ]==> ((^x.(a a))(a a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 39869/2596935. ------ 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. ------ 39870/2596989. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.a)((a a) a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.a)((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)((a a) a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 39871/2597061. ------ 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)(^y.y))(((^z.z)(a a)) a)) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a)) a)) 5. ==[ beta ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 39872/2597088. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a b) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a b) b)) REDUCED to normal form. ------ 39873/2597232. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(^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. ------ 39874/2597322. ------ 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. ------ 39875/2597349. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((((a a) a) a)((^y.y)((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.x)((^y.y) a))) 5. ==[ beta ]==> ((((a a) a) a)((^y.y) a)) 6. ==[ alpha ]==> ((((a a) a) a)((^x.x) a)) 7. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 39876/2597403. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a ((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a ((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.x1))) REDUCED to normal form. ------ 39877/2597430. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a (^z.z))((a a) a))) 3. ==[ beta ]==> ((a (^y.(y y)))((a (^z.z))((a a) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 39878/2597448. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(b (^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(b (^z.b))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(b (^z.b))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b (^z.b))) 5. ==[ beta ]==> ((a ((^y.y) a))(b (^z.b))) 6. ==[ alpha ]==> ((a ((^x.x) a))(b (^y.b))) 7. ==[ beta ]==> ((a a)(b (^y.b))) 8. ==[ alpha ]==> ((a a)(b (^x.b))) REDUCED to normal form. ------ 39879/2597457. ------ 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. ------ 39880/2597529. ------ 1. ==[ start ]==> ((a (^a.b))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 39881/2597547. ------ 1. ==[ start ]==> (((a a)((a a) a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)((a a) a))(((^x.x)(^y.y))(^z.a))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.y)(^z.a))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.x)(^y.a))) 5. ==[ beta ]==> (((a a)((a a) a))(^y.a)) 6. ==[ alpha ]==> (((a a)((a a) a))(^x.a)) REDUCED to normal form. ------ 39882/2597574. ------ 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.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a))(^z.(z z)))) REDUCED to normal form. ------ 39883/2597601. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a (a a)))(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a (a a)))(a (^x.(^y.y)))) REDUCED to normal form. ------ 39884/2597655. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a a)(^x1.b))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a a)(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a a)(^z.b))) 5. ==[ beta ]==> ((a (^y.y))((a a)(^z.b))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.b))) REDUCED to normal form. ------ 39885/2597682. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a b) a)) REDUCED to normal form. ------ 39886/2597709. ------ 1. ==[ start ]==> ((a (a b))(((a a) a) b)) REDUCED to normal form. ------ 39887/2597718. ------ 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. ------ 39888/2597799. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.a)(^b.(^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. ------ 39889/2597862. ------ 1. ==[ start ]==> ((((a a) a) b)(a (a b))) REDUCED to normal form. ------ 39890/2597889. ------ 1. ==[ start ]==> (((a b) a)(((a a) a)(a a))) REDUCED to normal form. ------ 39891/2597916. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.b))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^x.b))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.b))(a (^y.y))) REDUCED to normal form. ------ 39892/2597970. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a)(a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(a (a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (a (a a)))) REDUCED to normal form. ------ 39893/2597997. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 39894/2598024. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a a)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a a)((a a) a))) 5. ==[ beta ]==> ((^y.a)((a a)((a a) a))) 6. ==[ alpha ]==> ((^x.a)((a a)((a a) a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 39895/2598069. ------ 1. ==[ start ]==> (((^a.b)(a a))((^c.a)(a a))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.a)(a a))) 3. ==[ beta ]==> (b ((^y.a)(a a))) 4. ==[ alpha ]==> (b ((^x.a)(a a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 39896/2598096. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.(^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. ------ 39897/2598114. ------ 1. ==[ start ]==> (((a a)(a b))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(a b))((a (a a))(^x.a))) REDUCED to normal form. ------ 39898/2598141. ------ 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.(z z)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(a (^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(a (^y.(y y)))) REDUCED to normal form. ------ 39899/2598168. ------ 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 (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^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)))) REDUCED to normal form. ------ 39900/2598222. ------ 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. ------ 39901/2598249. ------ 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. ------ 39902/2598276. ------ 1. ==[ start ]==> (((a b)(a a))((a (a a)) c)) REDUCED to normal form. ------ 39903/2598312. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.a)(^z.(z z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 39904/2598339. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 39905/2598474. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 39906/2598483. ------ 1. ==[ start ]==> (((a b) b)((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b) b)((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 39907/2598510. ------ 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)))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.y))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.x))) REDUCED to normal form. ------ 39908/2598555. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.(^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. ------ 39909/2598609. ------ 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)((^y1.y1) a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.a)((^z1.z1) a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.a)((^z1.z1) a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)((^y1.y1) a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)((^y1.y1) a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)((^x1.x1) a))) 9. ==[ beta ]==> ((^y.y)((^z.a)((^x1.x1) a))) 10. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) a))) 11. ==[ beta ]==> ((^y.a)((^z.z) a)) 12. ==[ alpha ]==> ((^x.a)((^y.y) a)) 13. ==[ beta ]==> a REDUCED to normal form. ------ 39910/2598618. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(c d)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(c d)) REDUCED to normal form. ------ 39911/2598690. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.(^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. ------ 39912/2598816. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.(^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. ------ 39913/2598843. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^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. ------ 39914/2598870. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.a) c)) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.a) c)) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a) c)) 5. ==[ beta ]==> ((a (a a))((^y.a) c)) 6. ==[ alpha ]==> ((a (a a))((^x.a) c)) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 39915/2598915. ------ 1. ==[ start ]==> (((^a.b) c)((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b) c)((a a)(a (a a)))) 3. ==[ beta ]==> (b ((a a)(a (a a)))) REDUCED to normal form. ------ 39916/2598951. ------ 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. ------ 39917/2598978. ------ 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. ------ 39918/2599014. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1))((^z1.z1) 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. ------ 39919/2599149. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 39920/2599158. ------ 1. ==[ start ]==> (((a b) c)(a (a (a a)))) REDUCED to normal form. ------ 39921/2599185. ------ 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. ------ 39922/2599212. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 39923/2599230. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(b (^z.a))) 3. ==[ beta ]==> (((a a)(^y.y))(b (^z.a))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (^y.a))) REDUCED to normal form. ------ 39924/2599257. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(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. ------ 39925/2599293. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(c b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(c b)) 3. ==[ beta ]==> ((a (^y.b))(c b)) 4. ==[ alpha ]==> ((a (^x.b))(c b)) REDUCED to normal form. ------ 39926/2599311. ------ 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) a))((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))(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. ------ 39927/2599392. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(^a.a))(^a.(^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. ------ 39928/2599401. ------ 1. ==[ start ]==> (((a b)(^b.a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(b (a (^y.y)))) REDUCED to normal form. ------ 39929/2599428. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 39930/2599455. ------ 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))) REDUCED to normal form. ------ 39931/2599518. ------ 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))(^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))) REDUCED to normal form. ------ 39932/2599545. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a a)(^a.(^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. ------ 39933/2599572. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))((a a) a))((a (^x.x)) a)) REDUCED to normal form. ------ 39934/2599599. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a a) b)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a a) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a) b)) 5. ==[ beta ]==> (((^y.y)(^z.z))((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. ------ 39935/2599626. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(^y.y)) a)) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 39936/2599653. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.a) b)) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 39937/2599680. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a a)(^z.z))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a a)(^z.z))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 39938/2599707. ------ 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. ------ 39939/2599734. ------ 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. ------ 39940/2599760. ------ 1. ==[ start ]==> (^a.(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (^x.(b ((x x)(^y.y)))) REDUCED to normal form. ------ 39941/2599761. ------ 1. ==[ start ]==> (a (b ((a a)(^a.a)))) 2. ==[ alpha ]==> (a (b ((a a)(^x.x)))) REDUCED to normal form. ------ 39942/2599791. ------ 1. ==[ start ]==> ((^a.(a a))(^a.(b a))) 2. ==[ alpha ]==> ((^x.(x x))(^y.(b y))) 3. ==[ eta ]==> ((^x.(x x)) b) 4. ==[ beta ]==> (b b) REDUCED to normal form. ------ 39943/2603679. ------ 1. ==[ start ]==> ((^a.(b a))(^a.(a a))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(y y))) 3. ==[ eta ]==> (b (^y.(y y))) 4. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 39944/2603715. ------ 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. ------ 39945/2603742. ------ 1. ==[ start ]==> ((^a.(a a))(a (b a))) 2. ==[ alpha ]==> ((^x.(x x))(a (b a))) 3. ==[ beta ]==> ((a (b a))(a (b a))) REDUCED to normal form. ------ 39946/2603745. ------ 1. ==[ start ]==> ((a (a a))(^a.(b a))) 2. ==[ alpha ]==> ((a (a a))(^x.(b x))) 3. ==[ eta ]==> ((a (a a)) b) REDUCED to normal form. ------ 39947/2603769. ------ 1. ==[ start ]==> ((^a.b)(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.b)(((a a)(^y.y))(a a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 39948/2603805. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 39949/2603850. ------ 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 ]==> ((((a a) a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 39950/2604210. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 39951/2604492. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 39952/2604534. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.(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. ------ 39953/2604660. ------ 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)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 39954/2605383. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(z z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 39955/2605425. ------ 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. ------ 39956/2605761. ------ 1. ==[ start ]==> ((((a a) a) b)(^b.(^a.b))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.x))) REDUCED to normal form. ------ 39957/2605950. ------ 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. ------ 39958/2605992. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.((((^z.z)(^x1.x1))(^y1.(^z1.z1)))(((^z.z)(^x1.x1))(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (^x.((((^y.y)(^z.z))(^x1.(^y1.y1)))(((^z1.z1)(^x2.x2))(^y2.(^z2.z2))))) 5. ==[ beta ]==> (^x.(((^z.z)(^x1.(^y1.y1)))(((^z1.z1)(^x2.x2))(^y2.(^z2.z2))))) 6. ==[ alpha ]==> (^x.(((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2))))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2))))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2))))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 39959/2606436. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^a.(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.y))) REDUCED to normal form. ------ 39960/2606571. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 39961/2606715. ------ 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))(^x.(^z.z))) 6. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 39962/2606814. ------ 1. ==[ start ]==> (((^a.b) c)(^d.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(^z.(z z)))) 3. ==[ beta ]==> (b (^y.(^z.(z z)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 39963/2606823. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^c.(a (a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(a (a a)))) REDUCED to normal form. ------ 39964/2607048. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 39965/2607057. ------ 1. ==[ start ]==> (((a b) c)(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.(y y)))) REDUCED to normal form. ------ 39966/2607165. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 39967/2607246. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^b.((^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. ------ 39968/2607327. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 39969/2607525. ------ 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. ------ 39970/2607552. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^c.(a a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.(a a))) 3. ==[ beta ]==> (((a b) a)(^y.(a a))) 4. ==[ alpha ]==> (((a b) a)(^x.(a a))) REDUCED to normal form. ------ 39971/2607606. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^a.b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.b)) REDUCED to normal form. ------ 39972/2607630. ------ 1. ==[ start ]==> ((^a.(b a))(a (a a))) 2. ==[ alpha ]==> ((^x.(b x))(a (a a))) 3. ==[ eta ]==> (b (a (a a))) REDUCED to normal form. ------ 39973/2607633. ------ 1. ==[ start ]==> ((a (b a))(^a.(a a))) 2. ==[ alpha ]==> ((a (b a))(^x.(x x))) REDUCED to normal form. ------ 39974/2607672. ------ 1. ==[ start ]==> ((a a)(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a a)(b ((a a)(^x.x)))) REDUCED to normal form. ------ 39975/2607699. ------ 1. ==[ start ]==> ((a (a a))(a (b a))) REDUCED to normal form. ------ 39976/2607726. ------ 1. ==[ start ]==> ((a b)(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((a b)(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 39977/2607762. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a)) c)) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 39978/2607780. ------ 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. ------ 39979/2607807. ------ 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. ------ 39980/2607942. ------ 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. ------ 39981/2608005. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a)(a a))(^a.(^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. ------ 39982/2608032. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a b)(^b.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. ------ 39983/2608041. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.b)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x)) b) b) REDUCED to normal form. ------ 39984/2608086. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a (((^y.y)(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (a ((^y.y)(^z.(^x1.x1)))) 8. ==[ alpha ]==> (a ((^x.x)(^y.(^z.z)))) 9. ==[ beta ]==> (a (^y.(^z.z))) 10. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 39985/2608095. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 39986/2608122. ------ 1. ==[ start ]==> (((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) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 39987/2608149. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.a)(a b))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(a b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(a b))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 39988/2608167. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 39989/2608257. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.(a a))(^a.(^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. ------ 39990/2608275. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a b) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a b) c)) 3. ==[ beta ]==> ((^y.(y y))((a b) c)) 4. ==[ alpha ]==> ((^x.(x x))((a b) c)) 5. ==[ beta ]==> (((a b) c)((a b) c)) REDUCED to normal form. ------ 39991/2608338. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 39992/2608392. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)(^z.b))) 3. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 39993/2608419. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(^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. ------ 39994/2608491. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a)) b)) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 39995/2608509. ------ 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. ------ 39996/2608536. ------ 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))) 5. ==[ beta ]==> (((a (^x.x)) a)(((a a) a) a)) REDUCED to normal form. ------ 39997/2608563. ------ 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. ------ 39998/2608590. ------ 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. ------ 39999/2608617. ------ 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 (^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. ------ 40000/2608707. ------ 1. ==[ start ]==> (((^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))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(a a))(^y1.y1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.z1))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))(^z1.z1))) 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. ------ 40001/2608716. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(a a))(a a))) 3. ==[ beta ]==> (((a (a a)) b)(a a)) REDUCED to normal form. ------ 40002/2608743. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.b)(a (^z.z)))) 5. ==[ beta ]==> (a ((^y.b)(a (^z.z)))) 6. ==[ alpha ]==> (a ((^x.b)(a (^y.y)))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 40003/2608761. ------ 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. ------ 40004/2608770. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 40005/2608788. ------ 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))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 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. ------ 40006/2608797. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 40007/2608824. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.a))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.a))((^z.z)((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> ((a (^x.a))((^y.y)((^z.z)(^x1.x1)))) 9. ==[ beta ]==> ((a (^x.a))((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.z))) 11. ==[ beta ]==> ((a (^x.a))(^z.z)) 12. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 40008/2608851. ------ 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. ------ 40009/2608878. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(^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. ------ 40010/2609139. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(a a)) a)) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(a a)) a)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(a a)) a)) 5. ==[ beta ]==> (a ((^z.(a a)) a)) 6. ==[ alpha ]==> (a ((^x.(a a)) a)) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 40011/2609310. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(b (^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(b (^y.b))) REDUCED to normal form. ------ 40012/2609337. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(a (^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(a (^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (^x1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 40013/2609364. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.b)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.b)(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.x)) b) REDUCED to normal form. ------ 40014/2609382. ------ 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. ------ 40015/2609553. ------ 1. ==[ start ]==> (((^a.b) a)((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.b) a)((^y.b)(^z.z))) 3. ==[ beta ]==> (b ((^y.b)(^z.z))) 4. ==[ alpha ]==> (b ((^x.b)(^y.y))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 40016/2609571. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((a a) a) b)) 3. ==[ beta ]==> ((^y.b)(((a a) a) b)) 4. ==[ alpha ]==> ((^x.b)(((a a) a) b)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 40017/2609715. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.x)(^y.b))) 3. ==[ beta ]==> ((((a a) a) b)(^y.b)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.b)) REDUCED to normal form. ------ 40018/2609733. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.b) a)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.b) a)) 3. ==[ beta ]==> (b ((^z.b) a)) 4. ==[ alpha ]==> (b ((^x.b) a)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 40019/2609760. ------ 1. ==[ start ]==> (((^a.a)(a b))((^c.a) b)) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 40020/2609787. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) 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. ------ 40021/2609877. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(b (^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(b (^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(b (^z.a))) 5. ==[ beta ]==> ((^y.a)(b (^z.a))) 6. ==[ alpha ]==> ((^x.a)(b (^y.a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 40022/2609904. ------ 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. ------ 40023/2609922. ------ 1. ==[ start ]==> (((^a.b)(a a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a a))(((a a) a)(^y.y))) 3. ==[ beta ]==> (b (((a a) a)(^y.y))) 4. ==[ alpha ]==> (b (((a a) a)(^x.x))) REDUCED to normal form. ------ 40024/2609931. ------ 1. ==[ start ]==> (((a b)(^a.a))((^c.a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(a a))) 3. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 40025/2609949. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(a a)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 40026/2610120. ------ 1. ==[ start ]==> (((^a.b) b)((^b.(^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. ------ 40027/2610246. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^c.a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a) a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a) a)) 5. ==[ beta ]==> ((^y.y)((^y1.a) a)) 6. ==[ alpha ]==> ((^x.x)((^y.a) a)) 7. ==[ beta ]==> ((^y.a) a) 8. ==[ alpha ]==> ((^x.a) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 40028/2610336. ------ 1. ==[ start ]==> (((a b) b)(c (^a.(a a)))) 2. ==[ alpha ]==> (((a b) b)(c (^x.(x x)))) REDUCED to normal form. ------ 40029/2610363. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(b (^y.(^z.z)))) 3. ==[ beta ]==> (((a a) a)(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 40030/2610390. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(a (^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(a (^y.a))) REDUCED to normal form. ------ 40031/2610408. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^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. ------ 40032/2610417. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.(^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. ------ 40033/2610462. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a)(^z1.a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1) a)(^z1.a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)(^y1.a))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(^y1.a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.a))) 9. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.a))) 10. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.a))) 11. ==[ beta ]==> (((^y.y) a)(^z.a)) 12. ==[ alpha ]==> (((^x.x) a)(^y.a)) 13. ==[ beta ]==> (a (^y.a)) 14. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 40034/2610471. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 40035/2610498. ------ 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.(^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. ------ 40036/2610525. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)(^z.z))) 5. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 40037/2610543. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^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. ------ 40038/2610552. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 40039/2610579. ------ 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))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.(^x1.x1))(^z.(^x1.x1)))) 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. ------ 40040/2610642. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(b (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(b (a (a a)))) REDUCED to normal form. ------ 40041/2610669. ------ 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)))) 5. ==[ beta ]==> ((a ((a a) a))(a (^y.y))) 6. ==[ alpha ]==> ((a ((a a) a))(a (^x.x))) REDUCED to normal form. ------ 40042/2610696. ------ 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. ------ 40043/2610723. ------ 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. ------ 40044/2610750. ------ 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 (^x.x)) a)) REDUCED to normal form. ------ 40045/2610768. ------ 1. ==[ start ]==> (((^a.b) c)(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)(b (^y.(y y)))) 3. ==[ beta ]==> (b (b (^y.(y y)))) 4. ==[ alpha ]==> (b (b (^x.(x x)))) REDUCED to normal form. ------ 40046/2610777. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a a)(a (a a)))) REDUCED to normal form. ------ 40047/2610867. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.a))) 5. ==[ beta ]==> ((a (^y.y))(^z.a)) 6. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 40048/2611011. ------ 1. ==[ start ]==> (((a b) c)((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b) c)((^x.x)(^y.(y y)))) 3. ==[ beta ]==> (((a b) c)(^y.(y y))) 4. ==[ alpha ]==> (((a b) c)(^x.(x x))) REDUCED to normal form. ------ 40049/2611119. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a (^z.(z z)))) REDUCED to normal form. ------ 40050/2611146. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.a)(a a))) 3. ==[ beta ]==> ((a (^y.b))((^z.a)(a a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.a)(a a))) 5. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 40051/2611164. ------ 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.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 40052/2611200. ------ 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)((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)((^y1.y1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.x1) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 40053/2611227. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.a)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x))) a) REDUCED to normal form. ------ 40054/2611245. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a (^z.z)) b)) 3. ==[ beta ]==> (b ((a (^z.z)) b)) 4. ==[ alpha ]==> (b ((a (^x.x)) b)) REDUCED to normal form. ------ 40055/2611254. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 40056/2611281. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 40057/2611344. ------ 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. ------ 40058/2611398. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(b b)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(b b)) 3. ==[ beta ]==> ((a (a b))(b b)) REDUCED to normal form. ------ 40059/2611452. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(b (a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b (a a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(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. ------ 40060/2611479. ------ 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. ------ 40061/2611506. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a a)(a a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a a)(a a))) 3. ==[ beta ]==> (((a b) a)((a a)(a a))) REDUCED to normal form. ------ 40062/2611533. ------ 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)) REDUCED to normal form. ------ 40063/2611560. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(a b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(a b)) REDUCED to normal form. ------ 40064/2611587. ------ 1. ==[ start ]==> ((a (b a))(a (a a))) REDUCED to normal form. ------ 40065/2615541. ------ 1. ==[ start ]==> ((^a.(b a))(^b.(^a.a))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(^z.z))) 3. ==[ eta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 40066/2615595. ------ 1. ==[ start ]==> ((^a.(^a.a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(b ((a a)(^z.z)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 40067/2615625. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^a.(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(b z))) 3. ==[ eta ]==> (((^x.x)(^y.y)) b) 4. ==[ beta ]==> ((^y.y) b) 5. ==[ alpha ]==> ((^x.x) b) 6. ==[ beta ]==> b REDUCED to normal form. ------ 40068/2615676. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 40069/2615838. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (^x.((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (^x.((a (^y.y))(a a))) REDUCED to normal form. ------ 40070/2616129. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 40071/2616180. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.(a a))(^a.(^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. ------ 40072/2616381. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(^y.((y y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(^y.((y y)(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 40073/2616405. ------ 1. ==[ start ]==> ((^a.(^b.(^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. ------ 40074/2616831. ------ 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)(^y.y))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 40075/2616963. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.(y y))(^z.(^x1.x1)))((^y.(y y))(^z.(^x1.x1))))((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1))))((^x2.(x2 x2))(^y2.(^z2.z2)))) 5. ==[ beta ]==> ((((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1))))((^x2.(x2 x2))(^y2.(^z2.z2)))) 6. ==[ alpha ]==> ((((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2))))((^y2.(y2 y2))(^z2.(^x3.x3)))) 7. ==[ beta ]==> (((^y.y)((^y1.(y1 y1))(^z1.(^x2.x2))))((^y2.(y2 y2))(^z2.(^x3.x3)))) 8. ==[ alpha ]==> (((^x.x)((^y.(y y))(^z.(^x1.x1))))((^y1.(y1 y1))(^z1.(^x2.x2)))) 9. ==[ beta ]==> (((^y.(y y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 10. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 11. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 12. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 13. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.(^x2.x2)))) 14. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 15. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 16. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 17. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 18. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 19. ==[ beta ]==> (^y.y) 20. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 40076/2617056. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.((^x1.x1)(z z)))) 5. ==[ beta ]==> (a (^z.((^x1.x1)(z z)))) 6. ==[ alpha ]==> (a (^x.((^y.y)(x x)))) 7. ==[ beta ]==> (a (^x.(x x))) REDUCED to normal form. ------ 40077/2617452. ------ 1. ==[ start ]==> ((((a a) a)(a a))(^b.(a b))) 2. ==[ alpha ]==> ((((a a) a)(a a))(^x.(a x))) 3. ==[ eta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 40078/2617476. ------ 1. ==[ start ]==> ((^a.(a b))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.b)(^z.z))) 3. ==[ beta ]==> (((^y.b)(^z.z)) b) 4. ==[ alpha ]==> (((^x.b)(^y.y)) b) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 40079/2617650. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^a.(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(z b))) 3. ==[ beta ]==> (b (^z.(z b))) 4. ==[ alpha ]==> (b (^x.(x b))) REDUCED to normal form. ------ 40080/2617992. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(^x1.((a a) a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(^x1.((a a) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.((a a) a))) 5. ==[ beta ]==> (((^y.y) a)(^z.((a a) a))) 6. ==[ alpha ]==> (((^x.x) a)(^y.((a a) a))) 7. ==[ beta ]==> (a (^y.((a a) a))) 8. ==[ alpha ]==> (a (^x.((a a) a))) REDUCED to normal form. ------ 40081/2618070. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((^y.y)(((^z.(z z))(^x1.a))((^z.(z z))(^x1.a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.(y y))(^z.a))((^x1.(x1 x1))(^y1.a)))) 5. ==[ beta ]==> (((^y.(y y))(^z.a))((^x1.(x1 x1))(^y1.a))) 6. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(z z))(^x1.a))) 7. ==[ beta ]==> (((^y.a)(^y.a))((^z.(z z))(^x1.a))) 8. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(z z))(^x1.a))) 9. ==[ beta ]==> (a ((^z.(z z))(^x1.a))) 10. ==[ alpha ]==> (a ((^x.(x x))(^y.a))) 11. ==[ beta ]==> (a ((^y.a)(^y.a))) 12. ==[ alpha ]==> (a ((^x.a)(^y.a))) 13. ==[ beta ]==> (a a) REDUCED to normal form. ------ 40082/2618163. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.((x1 x1) x1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.((x1 x1) x1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((y1 y1) y1))) 5. ==[ beta ]==> ((^y.y)(^y1.((y1 y1) y1))) 6. ==[ alpha ]==> ((^x.x)(^y.((y y) y))) 7. ==[ beta ]==> (^y.((y y) y)) 8. ==[ alpha ]==> (^x.((x x) x)) REDUCED to normal form. ------ 40083/2618442. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 40084/2618586. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(^b.(^b.(^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. ------ 40085/2618721. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(^a.(^b.(^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. ------ 40086/2618745. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(z z))(a a))) 3. ==[ beta ]==> ((((^z.(z z))(a a))((^z.(z z))(a a)))(^y.y)) 4. ==[ alpha ]==> ((((^x.(x x))(a a))((^y.(y y))(a a)))(^z.z)) 5. ==[ beta ]==> ((((a a)(a a))((^y.(y y))(a a)))(^z.z)) 6. ==[ alpha ]==> ((((a a)(a a))((^x.(x x))(a a)))(^y.y)) 7. ==[ beta ]==> ((((a a)(a a))((a a)(a a)))(^y.y)) 8. ==[ alpha ]==> ((((a a)(a a))((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 40087/2618928. ------ 1. ==[ start ]==> (((a b) c)(^c.d)) 2. ==[ alpha ]==> (((a b) c)(^x.d)) REDUCED to normal form. ------ 40088/2619117. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^c.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 40089/2619288. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.(^x1.z))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.(^x1.z))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.y))) REDUCED to normal form. ------ 40090/2619342. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(^x.(a (^y.y)))) REDUCED to normal form. ------ 40091/2619396. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 40092/2619450. ------ 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. ------ 40093/2619477. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^b.(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(a a))) REDUCED to normal form. ------ 40094/2619501. ------ 1. ==[ start ]==> ((^a.(b a))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.y)(^z.z))) 3. ==[ eta ]==> (b ((^y.y)(^z.z))) 4. ==[ alpha ]==> (b ((^x.x)(^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 40095/2619504. ------ 1. ==[ start ]==> ((a (b a))(^b.(^a.a))) 2. ==[ alpha ]==> ((a (b a))(^x.(^y.y))) REDUCED to normal form. ------ 40096/2619561. ------ 1. ==[ start ]==> ((a (^a.a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 40097/2619588. ------ 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. ------ 40098/2619615. ------ 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))) REDUCED to normal form. ------ 40099/2619642. ------ 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)))) 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. ------ 40100/2619651. ------ 1. ==[ start ]==> (((^a.a) b)((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.x) b)((^y.(a a)) c)) 3. ==[ beta ]==> (b ((^y.(a a)) c)) 4. ==[ alpha ]==> (b ((^x.(a a)) c)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 40101/2619696. ------ 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 ]==> ((^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. ------ 40102/2619723. ------ 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)(^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. ------ 40103/2619750. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^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. ------ 40104/2619777. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z) a)(a b))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(a b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a b))) 5. ==[ beta ]==> (((^y.y) a)(a b)) 6. ==[ alpha ]==> (((^x.x) a)(a b)) 7. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 40105/2619804. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.a))((a (^y.y))(a a))) REDUCED to normal form. ------ 40106/2619822. ------ 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. ------ 40107/2619921. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a b)(^y.a))) REDUCED to normal form. ------ 40108/2619948. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((a a) a)(^y.(y y)))) 3. ==[ beta ]==> ((a a)(((a a) a)(^y.(y y)))) 4. ==[ alpha ]==> ((a a)(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 40109/2619975. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 40110/2620029. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.b))) 5. ==[ beta ]==> ((a (^x.x))(a (^z.b))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.b))) REDUCED to normal form. ------ 40111/2620065. ------ 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) 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. ------ 40112/2620092. ------ 1. ==[ start ]==> (((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)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 40113/2620137. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y)(a a)) b)) 3. ==[ beta ]==> ((a a)(((^y.y)(a a)) b)) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a)) b)) 5. ==[ beta ]==> ((a a)((a a) b)) REDUCED to normal form. ------ 40114/2620146. ------ 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 a)) REDUCED to normal form. ------ 40115/2620344. ------ 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 ((a a)(^y.y)))) 4. ==[ alpha ]==> (((a a)(a a))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 40116/2620371. ------ 1. ==[ start ]==> ((a (^b.(^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. ------ 40117/2620506. ------ 1. ==[ start ]==> (((^a.a)(^b.(^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. ------ 40118/2620533. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 40119/2620596. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x)(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. ------ 40120/2620623. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a b)(^a.(^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. ------ 40121/2620650. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a)(^z.a))) REDUCED to normal form. ------ 40122/2620677. ------ 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)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.(x1 x1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(z z))) REDUCED to normal form. ------ 40123/2620704. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (a a))(^b.(^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. ------ 40124/2620758. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a (^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.b))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.b))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.b))) 7. ==[ beta ]==> ((a (^y.y))(^z.b)) 8. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 40125/2620794. ------ 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)(^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. ------ 40126/2620821. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(a a)) REDUCED to normal form. ------ 40127/2620848. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.b)(^a.(^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. ------ 40128/2620902. ------ 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))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(z z)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 40129/2620929. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(^z.z))(^y.(^z.z)))) 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. ------ 40130/2620965. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(c ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(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. ------ 40131/2621019. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(a ((^z.z)(a a)))) 5. ==[ beta ]==> (a (a ((^z.z)(a a)))) 6. ==[ alpha ]==> (a (a ((^x.x)(a a)))) 7. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 40132/2621055. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.b) b)) 3. ==[ beta ]==> (((^y.y) b)((^z.b) b)) 4. ==[ alpha ]==> (((^x.x) b)((^y.b) b)) 5. ==[ beta ]==> (b ((^y.b) b)) 6. ==[ alpha ]==> (b ((^x.b) b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 40133/2621100. ------ 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)((^y.y)((^z.z) a))) 6. ==[ alpha ]==> (((a a) a)((^x.x)((^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. ------ 40134/2621127. ------ 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. ------ 40135/2621181. ------ 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)((^y.y) a))((a (^z.z))((a a) a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.z))((a a) a))) 5. ==[ beta ]==> ((a ((^y.y) a))((a (^z.z))((a a) a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))((a a) a))) 7. ==[ beta ]==> ((a a)((a (^y.y))((a a) a))) 8. ==[ alpha ]==> ((a a)((a (^x.x))((a a) a))) REDUCED to normal form. ------ 40136/2621244. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a b)(^y.y))) REDUCED to normal form. ------ 40137/2621307. ------ 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.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 40138/2621334. ------ 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. ------ 40139/2621361. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 40140/2621388. ------ 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.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. ------ 40141/2621415. ------ 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. ------ 40142/2621433. ------ 1. ==[ start ]==> (((^a.b) a)((a b) a)) 2. ==[ alpha ]==> (((^x.b) a)((a b) a)) 3. ==[ beta ]==> (b ((a b) a)) REDUCED to normal form. ------ 40143/2621442. ------ 1. ==[ start ]==> ((a (a b))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((a (a b))((^x.b)(^y.y))) 3. ==[ beta ]==> ((a (a b)) b) REDUCED to normal form. ------ 40144/2621613. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(a (a b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(a (a b))) 3. ==[ beta ]==> (b (a (a b))) REDUCED to normal form. ------ 40145/2621622. ------ 1. ==[ start ]==> (((a b) a)((^a.b) a)) 2. ==[ alpha ]==> (((a b) a)((^x.b) a)) 3. ==[ beta ]==> (((a b) a) b) REDUCED to normal form. ------ 40146/2621640. ------ 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. ------ 40147/2621649. ------ 1. ==[ start ]==> (((a a)(^a.b))((^c.a) b)) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.a) b)) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 40148/2621667. ------ 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 (^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. ------ 40149/2621721. ------ 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. ------ 40150/2621811. ------ 1. ==[ start ]==> (((a b)(^a.a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.x))(((a a) a)(^y.y))) REDUCED to normal form. ------ 40151/2621847. ------ 1. ==[ start ]==> (((a a)(a b))((^b.(^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. ------ 40152/2621874. ------ 1. ==[ start ]==> (((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))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))((a a) a))(a ((^z.z) a))) 6. ==[ alpha ]==> (((a (^x.x))((a a) a))(a ((^y.y) a))) 7. ==[ beta ]==> (((a (^x.x))((a a) a))(a a)) REDUCED to normal form. ------ 40153/2621901. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.a)(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.a)(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a)(a (a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.a)(a (a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)(a (a a)))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 40154/2621928. ------ 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. ------ 40155/2621955. ------ 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)((a a) a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)((a a) a))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)((a a) a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)((a a) a))) 7. ==[ beta ]==> (a ((^y.y)((a a) a))) 8. ==[ alpha ]==> (a ((^x.x)((a a) a))) 9. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 40156/2622000. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (b (((^y.y)(^z.z)) b)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) b)) 5. ==[ beta ]==> (b ((^y.y) b)) 6. ==[ alpha ]==> (b ((^x.x) b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 40157/2622009. ------ 1. ==[ start ]==> (((a b)(a a))((^b.(^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. ------ 40158/2622036. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))(^z.a))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.a))) 5. ==[ beta ]==> ((a (a a))((^y.a)(^y.a))) 6. ==[ alpha ]==> ((a (a a))((^x.a)(^y.a))) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 40159/2622072. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(c (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(c (a (a a)))) 3. ==[ beta ]==> ((^y.y)(c (a (a a)))) 4. ==[ alpha ]==> ((^x.x)(c (a (a a)))) 5. ==[ beta ]==> (c (a (a a))) REDUCED to normal form. ------ 40160/2622126. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a ((a a) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a ((a a) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(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. ------ 40161/2622207. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 40162/2622261. ------ 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)))) 7. ==[ beta ]==> ((a a)((a a)(^y.y))) 8. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 40163/2622297. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 40164/2622351. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 40165/2622378. ------ 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 (^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(y y))((a (^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(^z.(z z)))) 7. ==[ beta ]==> (((a (^y.y))(^z.(z z)))((a (^y.y))(^z.(z z)))) 8. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 40166/2622405. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 40167/2622432. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 40168/2622459. ------ 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)) REDUCED to normal form. ------ 40169/2622495. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(^z.a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.a))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 40170/2622522. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 40171/2622549. ------ 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)))) 5. ==[ beta ]==> ((a ((a a) a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 40172/2622648. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(^a.a)) d)) 2. ==[ alpha ]==> (((^x.b) c)((^y.(^z.z)) d)) 3. ==[ beta ]==> (b ((^y.(^z.z)) d)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) d)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 40173/2622657. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(b (^y.(y y)))) REDUCED to normal form. ------ 40174/2622684. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(a (^b.(^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. ------ 40175/2622711. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(y y))(a a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((a a)(a a))) REDUCED to normal form. ------ 40176/2622747. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(c c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(c c)) 3. ==[ beta ]==> ((^y.y)(c c)) 4. ==[ alpha ]==> ((^x.x)(c c)) 5. ==[ beta ]==> (c c) REDUCED to normal form. ------ 40177/2622882. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 40178/2622891. ------ 1. ==[ start ]==> (((a b) c)((a a) d)) REDUCED to normal form. ------ 40179/2622918. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 40180/2622945. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a) b)) 3. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 40181/2622963. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 40182/2622990. ------ 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)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 40183/2623026. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.b))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)(^z.z))) 5. ==[ beta ]==> ((a (^x.b))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.b))(a (^y.y))) REDUCED to normal form. ------ 40184/2623080. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 40185/2623107. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((^y.y) a) a)) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 40186/2623125. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(c (a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(c (a a))) 3. ==[ beta ]==> (b (c (a a))) REDUCED to normal form. ------ 40187/2623134. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y)) b)) REDUCED to normal form. ------ 40188/2623188. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.a) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 40189/2623224. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 40190/2623251. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(a (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(a (^z.a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a (^z.a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(a (^y.a))) REDUCED to normal form. ------ 40191/2623278. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(^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. ------ 40192/2623305. ------ 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)))) 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. ------ 40193/2623332. ------ 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))(^x2.x2))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.x2))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.z1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.y1))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.y1))) 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. ------ 40194/2623359. ------ 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)))) 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. ------ 40195/2623386. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(b (^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(b (^y.y))) 3. ==[ beta ]==> (((a b) a)(b (^y.y))) 4. ==[ alpha ]==> (((a b) a)(b (^x.x))) REDUCED to normal form. ------ 40196/2623413. ------ 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. ------ 40197/2623440. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.y)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(a a)) REDUCED to normal form. ------ 40198/2623467. ------ 1. ==[ start ]==> ((a (b a))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((a (b a))((^x.x)(^y.y))) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 40199/2627430. ------ 1. ==[ start ]==> ((^a.(b a))(^c.a)) 2. ==[ alpha ]==> ((^x.(b x))(^y.a)) 3. ==[ eta ]==> (b (^y.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 40200/2627532. ------ 1. ==[ start ]==> (((a a) a)(^a.(b a))) 2. ==[ alpha ]==> (((a a) a)(^x.(b x))) 3. ==[ eta ]==> (((a a) a) b) REDUCED to normal form. ------ 40201/2627736. ------ 1. ==[ start ]==> ((^a.(^b.a))(c (^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(c (^z.(a a)))) 3. ==[ beta ]==> (^y.(c (^z.(a a)))) 4. ==[ alpha ]==> (^x.(c (^y.(a a)))) REDUCED to normal form. ------ 40202/2627775. ------ 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))) REDUCED to normal form. ------ 40203/2627808. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((a a)(^z.z))(^x1.x1))) 3. ==[ eta ]==> ((^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. ------ 40204/2627979. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.a)(a b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.a)(a b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 40205/2628078. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y)(a a)) b)) 3. ==[ beta ]==> ((((^y.y)(a a)) b)((((^y.y)(a a)) b)(((^y.y)(a a)) b))) 4. ==[ alpha ]==> ((((^x.x)(a a)) b)((((^y.y)(a a)) b)(((^z.z)(a a)) b))) 5. ==[ beta ]==> (((a a) b)((((^y.y)(a a)) b)(((^z.z)(a a)) b))) 6. ==[ alpha ]==> (((a a) b)((((^x.x)(a a)) b)(((^y.y)(a a)) b))) 7. ==[ beta ]==> (((a a) b)(((a a) b)(((^y.y)(a a)) b))) 8. ==[ alpha ]==> (((a a) b)(((a a) b)(((^x.x)(a a)) b))) 9. ==[ beta ]==> (((a a) b)(((a a) b)((a a) b))) REDUCED to normal form. ------ 40206/2628279. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 40207/2628288. ------ 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. ------ 40208/2628954. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(^x1.(a a)))) 5. ==[ beta ]==> (a (^z.(^x1.(a a)))) 6. ==[ alpha ]==> (a (^x.(^y.(a a)))) REDUCED to normal form. ------ 40209/2629194. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.b)(a a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.b)(a a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 40210/2629374. ------ 1. ==[ start ]==> ((^a.(a b))((a b) a)) 2. ==[ alpha ]==> ((^x.(x b))((a b) a)) 3. ==[ beta ]==> (((a b) a) b) REDUCED to normal form. ------ 40211/2629548. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(^x1.z))) 3. ==[ beta ]==> (b (^z.(^x1.z))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 40212/2629557. ------ 1. ==[ start ]==> (((a b) a)(^a.(a b))) 2. ==[ alpha ]==> (((a b) a)(^x.(x b))) REDUCED to normal form. ------ 40213/2629737. ------ 1. ==[ start ]==> (((^a.b)(a a))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(^z.b))) 3. ==[ beta ]==> (b (^y.(^z.b))) 4. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 40214/2629761. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^c.a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.a)(a a))) 3. ==[ beta ]==> (^y.(((^z.a)(a a))((^z.a)(a a)))) 4. ==[ alpha ]==> (^x.(((^y.a)(a a))((^z.a)(a a)))) 5. ==[ beta ]==> (^x.(a ((^z.a)(a a)))) 6. ==[ alpha ]==> (^x.(a ((^y.a)(a a)))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 40215/2630061. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^b.(^c.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. ------ 40216/2630205. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 40217/2630223. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^a.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^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. ------ 40218/2630358. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^b.((^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 (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 40219/2630643. ------ 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. ------ 40220/2630826. ------ 1. ==[ start ]==> (((a b) c)(^d.((^a.a) a))) 2. ==[ alpha ]==> (((a b) c)(^x.((^y.y) a))) 3. ==[ beta ]==> (((a b) c)(^x.a)) REDUCED to normal form. ------ 40221/2630853. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 40222/2630934. ------ 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)))(^z.a)) REDUCED to normal form. ------ 40223/2631123. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 40224/2631186. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^b.c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.c)) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.c)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.c)) REDUCED to normal form. ------ 40225/2631348. ------ 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. ------ 40226/2631399. ------ 1. ==[ start ]==> ((^a.(b a))((a a) a)) 2. ==[ alpha ]==> ((^x.(b x))((a a) a)) 3. ==[ eta ]==> (b ((a a) a)) REDUCED to normal form. ------ 40227/2631402. ------ 1. ==[ start ]==> ((a (b a))(^c.a)) 2. ==[ alpha ]==> ((a (b a))(^x.a)) REDUCED to normal form. ------ 40228/2631477. ------ 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. ------ 40229/2631504. ------ 1. ==[ start ]==> (((a a) a)(a (b a))) REDUCED to normal form. ------ 40230/2631531. ------ 1. ==[ start ]==> (((a a)(^a.a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 40231/2631558. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> (b (((^y.y)(a a))(a (^z.z)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(a (^y.y)))) 5. ==[ beta ]==> (b ((a a)(a (^y.y)))) 6. ==[ alpha ]==> (b ((a a)(a (^x.x)))) REDUCED to normal form. ------ 40232/2631567. ------ 1. ==[ start ]==> (((a a)(a a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a a)(a a))((^x.(a a)) c)) 3. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 40233/2631585. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a b)((^z.z) a))) 3. ==[ beta ]==> ((^y.y)((a b)((^z.z) a))) 4. ==[ alpha ]==> ((^x.x)((a b)((^y.y) a))) 5. ==[ beta ]==> ((a b)((^y.y) a)) 6. ==[ alpha ]==> ((a b)((^x.x) a)) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 40234/2631612. ------ 1. ==[ start ]==> (((a a) b)(((a a) a)(a (a a)))) REDUCED to normal form. ------ 40235/2631639. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(^z.z))) 7. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 8. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 40236/2631666. ------ 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. ------ 40237/2631693. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a (a b))) REDUCED to normal form. ------ 40238/2631711. ------ 1. ==[ start ]==> ((a (^b.a))(c (^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(c (^y.(a a)))) REDUCED to normal form. ------ 40239/2631747. ------ 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 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. ------ 40240/2631783. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(^y.y))(^z.z))) 3. ==[ beta ]==> ((a a)(((a a)(^y.y))(^z.z))) 4. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 40241/2631792. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(a a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 40242/2631819. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> ((^y.(a a))(a (^z.z))) 6. ==[ alpha ]==> ((^x.(a a))(a (^y.y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 40243/2631900. ------ 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)(^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. ------ 40244/2631954. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.a)(a b))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)(a b))) 3. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 40245/2631972. ------ 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) a)((a (^y.y))(^z.(a a)))) 4. ==[ alpha ]==> (((a a) a)((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 40246/2632026. ------ 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. ------ 40247/2632053. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(a a)) b)) 3. ==[ beta ]==> ((a (a (a a)))((a a) b)) REDUCED to normal form. ------ 40248/2632062. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.(a a))(^a.(^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. ------ 40249/2632089. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.b)(^b.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. ------ 40250/2632143. ------ 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 ]==> (((^y.y)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 40251/2632197. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 40252/2632206. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(c (a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(c (a b))) REDUCED to normal form. ------ 40253/2632233. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b ((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b ((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(b (a a))) REDUCED to normal form. ------ 40254/2632260. ------ 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. ------ 40255/2632296. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(a a)) b)) 3. ==[ beta ]==> (((a a)(a (a a)))(a a)) REDUCED to normal form. ------ 40256/2632323. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.b) c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.b) c)) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.b) c)) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.b) c)) 5. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 40257/2632368. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> ((b b)(((^y.y)(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((b b)(((^x.x)(^y.y))(a (a a)))) 5. ==[ beta ]==> ((b b)((^y.y)(a (a a)))) 6. ==[ alpha ]==> ((b b)((^x.x)(a (a a)))) 7. ==[ beta ]==> ((b b)(a (a a))) REDUCED to normal form. ------ 40258/2632548. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((^z.b)(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(a (^z.z)))) 7. ==[ beta ]==> ((^y.b)(a (^z.z))) 8. ==[ alpha ]==> ((^x.b)(a (^y.y))) 9. ==[ beta ]==> b REDUCED to normal form. ------ 40259/2632629. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(((^x1.x1)(^y1.y1))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)((^y1.y1)(^z1.z1)))) 8. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 9. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)(^y1.y1))) 10. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(^x1.x1))) 11. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 12. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 40260/2632701. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a a)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.(a a)))) REDUCED to normal form. ------ 40261/2632728. ------ 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 (^x.x))(a (a a)))((a a) a)) REDUCED to normal form. ------ 40262/2632755. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a b) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a b) b)) 3. ==[ beta ]==> ((a ((^y.y) a))((a b) b)) 4. ==[ alpha ]==> ((a ((^x.x) a))((a b) b)) 5. ==[ beta ]==> ((a a)((a b) b)) REDUCED to normal form. ------ 40263/2632872. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.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. ------ 40264/2632926. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> (a ((^z.z)(^x1.(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. ------ 40265/2632962. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a b)(a a))) 3. ==[ beta ]==> (((^y.y) b)((a b)(a a))) 4. ==[ alpha ]==> (((^x.x) b)((a b)(a a))) 5. ==[ beta ]==> (b ((a b)(a a))) REDUCED to normal form. ------ 40266/2632989. ------ 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. ------ 40267/2633043. ------ 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. ------ 40268/2633070. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(x x)))(a ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.(x x)))(a ((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (^x.(x x)))(a (^z.z))) 8. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 40269/2633097. ------ 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))) REDUCED to normal form. ------ 40270/2633124. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a a)(a b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a a)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(a b))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(a b))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(a b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 40271/2633169. ------ 1. ==[ start ]==> ((a (^a.b))((^a.b)(a a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.b)(a a))) 3. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 40272/2633187. ------ 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. ------ 40273/2633214. ------ 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)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)(^y1.a))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.a))) 7. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.a)) 8. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.a)) REDUCED to normal form. ------ 40274/2633241. ------ 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. ------ 40275/2633268. ------ 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.(^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. ------ 40276/2633322. ------ 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. ------ 40277/2633349. ------ 1. ==[ start ]==> ((a (a b))((a b) a)) REDUCED to normal form. ------ 40278/2633358. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.b)(^x1.x1))) 3. ==[ beta ]==> ((^y.b)((^z.b)(^x1.x1))) 4. ==[ alpha ]==> ((^x.b)((^y.b)(^z.z))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 40279/2633439. ------ 1. ==[ start ]==> (((^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 x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 40280/2633502. ------ 1. ==[ start ]==> ((((a a) a) b)(b ((a a) a))) REDUCED to normal form. ------ 40281/2633520. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.z)(^x1.b))) 3. ==[ beta ]==> (b ((^z.z)(^x1.b))) 4. ==[ alpha ]==> (b ((^x.x)(^y.b))) 5. ==[ beta ]==> (b (^y.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 40282/2633529. ------ 1. ==[ start ]==> (((a b) a)(a (a b))) REDUCED to normal form. ------ 40283/2633556. ------ 1. ==[ start ]==> (((a a)(^a.b))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.b))(((a a) a)(a a))) REDUCED to normal form. ------ 40284/2633610. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (a a))((^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. ------ 40285/2633637. ------ 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. ------ 40286/2633664. ------ 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 REDUCED to normal form. ------ 40287/2633691. ------ 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. ------ 40288/2633709. ------ 1. ==[ start ]==> (((^a.b)(a a))(a (^a.b))) 2. ==[ alpha ]==> (((^x.b)(a a))(a (^y.b))) 3. ==[ beta ]==> (b (a (^y.b))) 4. ==[ alpha ]==> (b (a (^x.b))) REDUCED to normal form. ------ 40289/2633736. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^c.a)(a a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(a a))) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 40290/2633754. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a b))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a b))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a b))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 40291/2633781. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a (a a))(^y.a))) REDUCED to normal form. ------ 40292/2633808. ------ 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.(y1 y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.(z z)))) 7. ==[ beta ]==> ((a (^x.x))(a (^z.(z z)))) 8. ==[ alpha ]==> ((a (^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 40293/2633835. ------ 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. ------ 40294/2633889. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((a a) a) a)) REDUCED to normal form. ------ 40295/2633916. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x)(^y.y)) b)) 3. ==[ beta ]==> (((a b)(a a))((^y.y) b)) 4. ==[ alpha ]==> (((a b)(a a))((^x.x) b)) 5. ==[ beta ]==> (((a b)(a a)) b) REDUCED to normal form. ------ 40296/2633952. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((^y.(a a))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(y y))(^z.a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 40297/2633979. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^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. ------ 40298/2634033. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.a))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.a))) 7. ==[ beta ]==> ((^y.y)(^z.a)) 8. ==[ alpha ]==> ((^x.x)(^y.a)) 9. ==[ beta ]==> (^y.a) 10. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 40299/2634123. ------ 1. ==[ start ]==> (((a b) b)(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a b) b)(((^x.x) 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. ------ 40300/2634150. ------ 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. ------ 40301/2634168. ------ 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. ------ 40302/2634177. ------ 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)))) 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. ------ 40303/2634195. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(a (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(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. ------ 40304/2634249. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(x1 x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))(a (^z1.z1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))(a (^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))(a (^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(a (^y1.y1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(a (^x1.x1)))) 9. ==[ beta ]==> ((^y.y)((^z.(z z))(a (^x1.x1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (^z.z)))) 11. ==[ beta ]==> ((^y.(y y))(a (^z.z))) 12. ==[ alpha ]==> ((^x.(x x))(a (^y.y))) 13. ==[ beta ]==> ((a (^y.y))(a (^y.y))) 14. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 40305/2634330. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^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. ------ 40306/2634483. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^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. ------ 40307/2634510. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(z z)) b)) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(z z)) b)) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(y y)) b)) 5. ==[ beta ]==> ((a (a a))((^y.(y y)) b)) 6. ==[ alpha ]==> ((a (a a))((^x.(x x)) b)) 7. ==[ beta ]==> ((a (a a))(b b)) REDUCED to normal form. ------ 40308/2634537. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.a) c)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.a) c)) 3. ==[ beta ]==> ((((a a) a) a)((^y.a) c)) 4. ==[ alpha ]==> ((((a a) a) a)((^x.a) c)) 5. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 40309/2634555. ------ 1. ==[ start ]==> (((^a.b) c)((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) c)((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. ------ 40310/2634618. ------ 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. ------ 40311/2634654. ------ 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))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 40312/2634789. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 40313/2634798. ------ 1. ==[ start ]==> (((a b) c)(b ((^a.a) a))) 2. ==[ alpha ]==> (((a b) c)(b ((^x.x) a))) 3. ==[ beta ]==> (((a b) c)(b a)) REDUCED to normal form. ------ 40314/2634825. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(a (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(a (a (a a)))) 3. ==[ beta ]==> (((a a) b)(a (a (a a)))) REDUCED to normal form. ------ 40315/2634852. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y) a)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a (a a))) REDUCED to normal form. ------ 40316/2634897. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(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. ------ 40317/2634906. ------ 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))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((a a) a)) REDUCED to normal form. ------ 40318/2634951. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.a)(a a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.a)(a a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.a)(a a))) 5. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 40319/2634987. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(b c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(b c)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(b c)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b c)) 5. ==[ beta ]==> ((^y.(^z.z))(b c)) 6. ==[ alpha ]==> ((^x.(^y.y))(b c)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 40320/2635032. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 40321/2635041. ------ 1. ==[ start ]==> (((a b)(^b.a))(c (a a))) 2. ==[ alpha ]==> (((a b)(^x.a))(c (a a))) REDUCED to normal form. ------ 40322/2635068. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 40323/2635095. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a ((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 40324/2635131. ------ 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)))(^z.z)) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 40325/2635185. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a (^y.y))(^z.z))) 3. ==[ beta ]==> ((a (a b))((a (^y.y))(^z.z))) 4. ==[ alpha ]==> ((a (a b))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 40326/2635212. ------ 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. ------ 40327/2635239. ------ 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.y1)) a)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1)) a)) 5. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1)) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z)) a)) 7. ==[ beta ]==> ((^y.y)((a (^z.z)) a)) 8. ==[ alpha ]==> ((^x.x)((a (^y.y)) a)) 9. ==[ beta ]==> ((a (^y.y)) a) 10. ==[ alpha ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 40328/2635266. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a a) b)) REDUCED to normal form. ------ 40329/2635293. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(^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. ------ 40330/2635320. ------ 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 (^x.x))) b) REDUCED to normal form. ------ 40331/2635347. ------ 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. ------ 40332/2635374. ------ 1. ==[ start ]==> ((a (b a))((a a) a)) REDUCED to normal form. ------ 40333/2635485. ------ 1. ==[ start ]==> ((^a.b)(^a.(b a))) 2. ==[ alpha ]==> ((^x.b)(^y.(b y))) 3. ==[ eta ]==> ((^x.b) b) 4. ==[ beta ]==> b REDUCED to normal form. ------ 40334/2639346. ------ 1. ==[ start ]==> ((^a.(b a))(^a.b)) 2. ==[ alpha ]==> ((^x.(b x))(^y.b)) 3. ==[ eta ]==> (b (^y.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 40335/2639436. ------ 1. ==[ start ]==> ((^a.(a a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(b ((a a)(^y.y)))) 3. ==[ beta ]==> ((b ((a a)(^y.y)))(b ((a a)(^y.y)))) 4. ==[ alpha ]==> ((b ((a a)(^x.x)))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 40336/2639463. ------ 1. ==[ start ]==> ((^a.b)(a (b a))) 2. ==[ alpha ]==> ((^x.b)(a (b a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 40337/2639466. ------ 1. ==[ start ]==> ((a b)(^a.(b a))) 2. ==[ alpha ]==> ((a b)(^x.(b x))) 3. ==[ eta ]==> ((a b) b) REDUCED to normal form. ------ 40338/2639544. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a b)((^z.z) a))) 3. ==[ beta ]==> (((a b)((^z.z) a))(^y.y)) 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. ------ 40339/2639904. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 40340/2640213. ------ 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. ------ 40341/2640228. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 40342/2640354. ------ 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)(^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. ------ 40343/2640456. ------ 1. ==[ start ]==> (((a (a a)) b)(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 40344/2641104. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.(y y)))) REDUCED to normal form. ------ 40345/2641119. ------ 1. ==[ start ]==> ((^a.(^a.b))((a b)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((a b)(^z.z))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 40346/2641293. ------ 1. ==[ start ]==> (((^a.b) a)(^b.(a b))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(a y))) 3. ==[ eta ]==> (((^x.b) a) a) 4. ==[ beta ]==> (b a) REDUCED to normal form. ------ 40347/2641482. ------ 1. ==[ start ]==> (((a b) a)(^b.(^a.b))) 2. ==[ alpha ]==> (((a b) a)(^x.(^y.x))) REDUCED to normal form. ------ 40348/2641671. ------ 1. ==[ start ]==> (((a b)(^a.a))(^a.(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.b))) REDUCED to normal form. ------ 40349/2641686. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((a a) a)(^z.z))) 3. ==[ beta ]==> (^y.((((a a) a)(^z.z))(((a a) a)(^z.z)))) 4. ==[ alpha ]==> (^x.((((a a) a)(^y.y))(((a a) a)(^z.z)))) REDUCED to normal form. ------ 40350/2642157. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^a.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.z))) REDUCED to normal form. ------ 40351/2642283. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^c.(^b.(^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. ------ 40352/2642292. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 40353/2642436. ------ 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)(^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. ------ 40354/2642778. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 40355/2642886. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.b))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.(z z)))) REDUCED to normal form. ------ 40356/2642967. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^y.a)) REDUCED to normal form. ------ 40357/2643048. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^b.(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.a))) REDUCED to normal form. ------ 40358/2643246. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.(y (^z.z)))) 3. ==[ beta ]==> (((a b) a)(^y.(y (^z.z)))) 4. ==[ alpha ]==> (((a b) a)(^x.(x (^y.y)))) REDUCED to normal form. ------ 40359/2643324. ------ 1. ==[ start ]==> ((^a.(b a))(a b)) 2. ==[ alpha ]==> ((^x.(b x))(a b)) 3. ==[ eta ]==> (b (a b)) REDUCED to normal form. ------ 40360/2643327. ------ 1. ==[ start ]==> ((a (b a))(^a.b)) 2. ==[ alpha ]==> ((a (b a))(^x.b)) REDUCED to normal form. ------ 40361/2643420. ------ 1. ==[ start ]==> ((a (a a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a a))(b ((a a)(^x.x)))) REDUCED to normal form. ------ 40362/2643447. ------ 1. ==[ start ]==> ((a b)(a (b a))) REDUCED to normal form. ------ 40363/2643501. ------ 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. ------ 40364/2643528. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a b)((^y.y) a))) 3. ==[ beta ]==> ((a (a (^x.x)))((a b) a)) REDUCED to normal form. ------ 40365/2643663. ------ 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. ------ 40366/2643681. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(b (^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. ------ 40367/2643690. ------ 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. ------ 40368/2643726. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.a)(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.a)(((a a)(^y.y))(^z.z))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 40369/2643753. ------ 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)(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. ------ 40370/2643762. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) b)(a a)) REDUCED to normal form. ------ 40371/2643789. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.b)((^z.z) a))) 3. ==[ beta ]==> ((a a)((^y.b)((^z.z) a))) 4. ==[ alpha ]==> ((a a)((^x.b)((^y.y) a))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 40372/2643807. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> (((^y.y) a)(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.x) a)(((a a) a)(^y.(y y)))) 5. ==[ beta ]==> (a (((a a) a)(^y.(y y)))) 6. ==[ alpha ]==> (a (((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 40373/2643816. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 40374/2643834. ------ 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.(^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. ------ 40375/2643843. ------ 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)(^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. ------ 40376/2643870. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(z z))((a a) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))((a a) a))) 5. ==[ beta ]==> ((a (^x.x))(((a a) a)((a a) a))) REDUCED to normal form. ------ 40377/2643888. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> ((a (^x.(x x)))(a (^z.b))) 4. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.b))) REDUCED to normal form. ------ 40378/2643996. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(a a)) b)) 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)) b)(((^y.y)(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. ------ 40379/2644023. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 40380/2644059. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) 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. ------ 40381/2644086. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.(^a.a))(^b.(^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. ------ 40382/2644140. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.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. ------ 40383/2644167. ------ 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.(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. ------ 40384/2644212. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 40385/2644230. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x)(a a))(a a))) 3. ==[ beta ]==> (((a a)(a (a a)))((a a)(a a))) REDUCED to normal form. ------ 40386/2644257. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a b)(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a b)(a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a b)(a (^y.y)))) REDUCED to normal form. ------ 40387/2644284. ------ 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. ------ 40388/2644311. ------ 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. ------ 40389/2644338. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((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. ------ 40390/2644437. ------ 1. ==[ start ]==> (((a (a a)) b)(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 40391/2644464. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(a a))(a a))) 3. ==[ beta ]==> (((^y.y) a)((^z.(a a))(a a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(a a))(a a))) 5. ==[ beta ]==> (a ((^y.(a a))(a a))) 6. ==[ alpha ]==> (a ((^x.(a a))(a a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 40392/2644482. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a b)(^a.(^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. ------ 40393/2644491. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 40394/2644509. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((a a) a)(^z.a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^z.a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.a))) 5. ==[ beta ]==> (((a a) a)(^y.a)) 6. ==[ alpha ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 40395/2644545. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.(^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. ------ 40396/2644563. ------ 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.(^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. ------ 40397/2644572. ------ 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)(^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. ------ 40398/2644599. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.a)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)((a a) a))) 5. ==[ beta ]==> ((^y.y)((^z.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. ------ 40399/2645031. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(c (^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(c (^y.a))) REDUCED to normal form. ------ 40400/2645058. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(b (^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(b (^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(b (^x1.b))) 6. ==[ alpha ]==> ((^x.(^y.y))(b (^z.b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 40401/2645085. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(a (^y.(a a)))) REDUCED to normal form. ------ 40402/2645103. ------ 1. ==[ start ]==> ((a (^a.b))((a b)(^a.a))) 2. ==[ alpha ]==> ((a (^x.b))((a b)(^y.y))) REDUCED to normal form. ------ 40403/2645274. ------ 1. ==[ start ]==> (((^a.b) a)((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 40404/2645292. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a b) a)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a b) a)) 3. ==[ beta ]==> ((^y.b)((a b) a)) 4. ==[ alpha ]==> ((^x.b)((a b) a)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 40405/2645436. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(^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. ------ 40406/2645463. ------ 1. ==[ start ]==> (((a b) a)((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a b) a)((^x.x)(^y.b))) 3. ==[ beta ]==> (((a b) a)(^y.b)) 4. ==[ alpha ]==> (((a b) a)(^x.b)) REDUCED to normal form. ------ 40407/2645481. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.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)) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 40408/2645598. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(c (^b.(^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. ------ 40409/2645625. ------ 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. ------ 40410/2645652. ------ 1. ==[ start ]==> (((a b)(^a.a))(a (^a.b))) 2. ==[ alpha ]==> (((a b)(^x.x))(a (^y.b))) REDUCED to normal form. ------ 40411/2645670. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((a a) a)(^y.y))) REDUCED to normal form. ------ 40412/2645841. ------ 1. ==[ start ]==> (((^a.b) b)((^c.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.a)(^z.z))) 3. ==[ beta ]==> (b ((^y.a)(^z.z))) 4. ==[ alpha ]==> (b ((^x.a)(^y.y))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 40413/2645886. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (a a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (a a)) c)) 3. ==[ beta ]==> ((^y.(a a))((a (a a)) c)) 4. ==[ alpha ]==> ((^x.(a a))((a (a a)) c)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 40414/2646048. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 40415/2646111. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 40416/2646138. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(a (^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(a (^z.a))) REDUCED to normal form. ------ 40417/2646183. ------ 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.(^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. ------ 40418/2646192. ------ 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 (^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. ------ 40419/2646219. ------ 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)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(y y))((^z.a)((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.a)((^z.z) a))) 7. ==[ beta ]==> (((^y.a)((^z.z) a))((^y.a)((^z.z) a))) 8. ==[ alpha ]==> (((^x.a)((^y.y) a))((^z.a)((^x1.x1) a))) 9. ==[ beta ]==> (a ((^z.a)((^x1.x1) a))) 10. ==[ alpha ]==> (a ((^x.a)((^y.y) a))) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 40420/2646246. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(^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. ------ 40421/2646264. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a a)(^b.(^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. ------ 40422/2646273. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 40423/2646300. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 40424/2646363. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(c ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(c ((^y.y) a))) 3. ==[ beta ]==> (((a (^x.x))(a b))(c a)) REDUCED to normal form. ------ 40425/2646390. ------ 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. ------ 40426/2646417. ------ 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)(^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. ------ 40427/2646444. ------ 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. ------ 40428/2646471. ------ 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. ------ 40429/2646489. ------ 1. ==[ start ]==> (((^a.b) c)(c (^b.a))) 2. ==[ alpha ]==> (((^x.b) c)(c (^y.a))) 3. ==[ beta ]==> (b (c (^y.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 40430/2646498. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((a (^y.y)) a)) REDUCED to normal form. ------ 40431/2646525. ------ 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. ------ 40432/2646588. ------ 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)(((^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. ------ 40433/2646723. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 40434/2646732. ------ 1. ==[ start ]==> (((a b) c)((^a.(^a.a))(^b.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. ------ 40435/2646759. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 40436/2646804. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.a) b)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a) b)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a) b)) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 40437/2646840. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(b (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(b (^z.a))) REDUCED to normal form. ------ 40438/2646867. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(a (^z.(z z)))) 3. ==[ beta ]==> ((a (^y.b))(a (^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.b))(a (^y.(y y)))) REDUCED to normal form. ------ 40439/2646885. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y) a)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x) a)(^y.y))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(a (^y.y))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(a (^x.x))) REDUCED to normal form. ------ 40440/2646921. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a (^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 40441/2646948. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((^z.z) a)) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y) a)) 5. ==[ beta ]==> ((((a a) a)(^x.(x x))) a) REDUCED to normal form. ------ 40442/2646966. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 40443/2646975. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 40444/2647002. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))(^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. ------ 40445/2647029. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.a)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.a)) REDUCED to normal form. ------ 40446/2647065. ------ 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))) REDUCED to normal form. ------ 40447/2647092. ------ 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. ------ 40448/2647119. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(c a)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(c a)) 3. ==[ beta ]==> ((a (a b))(c a)) REDUCED to normal form. ------ 40449/2647146. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(b b)) REDUCED to normal form. ------ 40450/2647200. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(b (a a))) REDUCED to normal form. ------ 40451/2647227. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(a (a (^y.y)))) 3. ==[ beta ]==> (((a b) a)(a (a (^y.y)))) 4. ==[ alpha ]==> (((a b) a)(a (a (^x.x)))) REDUCED to normal form. ------ 40452/2647254. ------ 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. ------ 40453/2647281. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(b a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(b a)) REDUCED to normal form. ------ 40454/2647308. ------ 1. ==[ start ]==> ((a (b a))(a b)) REDUCED to normal form. ------ 40455/2647370. ------ 1. ==[ start ]==> (^a.((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (^x.((^y.x)(^z.(x x)))) 3. ==[ beta ]==> (^x.x) REDUCED to normal form. ------ 40456/2647371. ------ 1. ==[ start ]==> (a ((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (a ((^x.a)(^y.(a a)))) 3. ==[ beta ]==> (a a) REDUCED to normal form. ------ 40457/2648193. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.((x1 x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 40458/2649264. ------ 1. ==[ start ]==> ((^a.(a b))(^b.(a b))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(a y))) 3. ==[ eta ]==> ((^x.(x b)) a) 4. ==[ beta ]==> (a b) REDUCED to normal form. ------ 40459/2650533. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^a.(^b.(^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. ------ 40460/2651289. ------ 1. ==[ start ]==> ((^a.(b a))(^b.(a a))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(a a))) 3. ==[ eta ]==> (b (^y.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 40461/2651361. ------ 1. ==[ start ]==> ((^a.a)((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((^y.a)(^z.(a a))) 4. ==[ alpha ]==> ((^x.a)(^y.(a a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 40462/2651427. ------ 1. ==[ start ]==> (((^a.a)(a a))(^a.(b a))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.(b y))) 3. ==[ eta ]==> (((^x.x)(a a)) b) 4. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 40463/2651451. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 40464/2651613. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z) a)(a b))) 3. ==[ beta ]==> (^y.(((^z.z) a)(a b))) 4. ==[ alpha ]==> (^x.(((^y.y) a)(a b))) 5. ==[ beta ]==> (^x.(a (a b))) REDUCED to normal form. ------ 40465/2651931. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.((a a)(^z.z)))) 3. ==[ beta ]==> ((a (a a))(^y.((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (a a))(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 40466/2652180. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a ((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 40467/2652183. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((z z)(^x1.x1)))) REDUCED to normal form. ------ 40468/2652633. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(^y.(a a))) REDUCED to normal form. ------ 40469/2652738. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((^y.(^z.z))(^x1.(x1 x1)))((^y.(^z.z))(^x1.(x1 x1))))((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((^x.(^y.y))(^z.(z z)))((^x1.(^y1.y1))(^z1.(z1 z1))))((^x2.(^y2.y2))(^z2.(z2 z2)))) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))(^z1.(z1 z1))))((^x2.(^y2.y2))(^z2.(z2 z2)))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(^x1.(x1 x1))))((^y1.(^z1.z1))(^x2.(x2 x2)))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.(x1 x1)))((^y1.(^z1.z1))(^x2.(x2 x2)))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(z1 z1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 40470/2653245. ------ 1. ==[ start ]==> (((^a.b) a)(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(^z.b))) 3. ==[ beta ]==> (b (^y.(^z.b))) 4. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 40471/2653251. ------ 1. ==[ start ]==> ((^a.(a b))((^a.a)(a b))) 2. ==[ alpha ]==> ((^x.(x b))((^y.y)(a b))) 3. ==[ beta ]==> (((^y.y)(a b)) b) 4. ==[ alpha ]==> (((^x.x)(a b)) b) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 40472/2653254. ------ 1. ==[ start ]==> ((a (a b))(^b.(a b))) 2. ==[ alpha ]==> ((a (a b))(^x.(a x))) 3. ==[ eta ]==> ((a (a b)) a) REDUCED to normal form. ------ 40473/2653452. ------ 1. ==[ start ]==> (((^a.a)(a b))(^a.(a b))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(y b))) 3. ==[ beta ]==> ((a b)(^y.(y b))) 4. ==[ alpha ]==> ((a b)(^x.(x b))) REDUCED to normal form. ------ 40474/2653614. ------ 1. ==[ start ]==> (((^a.b)(a a))(^c.((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.((a a) a))) 3. ==[ beta ]==> (b (^y.((a a) a))) 4. ==[ alpha ]==> (b (^x.((a a) a))) REDUCED to normal form. ------ 40475/2653794. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.((a a) a))) REDUCED to normal form. ------ 40476/2653845. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))(^y1.(^z1.z1)))((^z.(^x1.x1))(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(^x1.(^y1.y1)))((^z1.(^x2.x2))(^y2.(^z2.z2))))) 5. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.y1)))((^z1.(^x2.x2))(^y2.(^z2.z2)))) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 7. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 40477/2654100. ------ 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 ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 40478/2654244. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 40479/2654388. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^b.(^b.(^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. ------ 40480/2654520. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^z.(^x1.x1)))(a (^z.(^x1.x1))))(^y.y)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 40481/2654523. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 40482/2654730. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^c.d)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.d)) 3. ==[ beta ]==> (((a a) b)(^y.d)) 4. ==[ alpha ]==> (((a a) b)(^x.d)) REDUCED to normal form. ------ 40483/2655090. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.(^z.y))) 3. ==[ beta ]==> ((a (a b))(^y.(^z.y))) 4. ==[ alpha ]==> ((a (a b))(^x.(^y.x))) REDUCED to normal form. ------ 40484/2655144. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(a (^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(a (^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(a (^x1.x1)))) 7. ==[ beta ]==> ((^y.y)(^z.(a (^x1.x1)))) 8. ==[ alpha ]==> ((^x.x)(^y.(a (^z.z)))) 9. ==[ beta ]==> (^y.(a (^z.z))) 10. ==[ alpha ]==> (^x.(a (^y.y))) REDUCED to normal form. ------ 40485/2655198. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^b.(^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. ------ 40486/2655252. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 40487/2655276. ------ 1. ==[ start ]==> ((^a.(b a))((^a.a)(a a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.y)(a a))) 3. ==[ eta ]==> (b ((^y.y)(a a))) 4. ==[ alpha ]==> (b ((^x.x)(a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 40488/2655279. ------ 1. ==[ start ]==> ((a (b a))(^b.(a a))) 2. ==[ alpha ]==> ((a (b a))(^x.(a a))) REDUCED to normal form. ------ 40489/2655354. ------ 1. ==[ start ]==> ((a a)((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a a)((^x.a)(^y.(a a)))) 3. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 40490/2655390. ------ 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. ------ 40491/2655417. ------ 1. ==[ start ]==> (((^a.a)(a a))(a (b a))) 2. ==[ alpha ]==> (((^x.x)(a a))(a (b a))) 3. ==[ beta ]==> ((a a)(a (b a))) REDUCED to normal form. ------ 40492/2655444. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))(a a))) REDUCED to normal form. ------ 40493/2655453. ------ 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 (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 40494/2655480. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(a a)) c)) 3. ==[ beta ]==> ((^y.y)((^z.(a a)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) c)) 5. ==[ beta ]==> ((^y.(a a)) c) 6. ==[ alpha ]==> ((^x.(a a)) c) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 40495/2655498. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 40496/2655525. ------ 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 a)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a (a a)))) 5. ==[ beta ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 40497/2655552. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 9. ==[ beta ]==> ((a (^x.x))(^z.z)) 10. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 40498/2655579. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a (a a))((a a) a))) 3. ==[ beta ]==> ((^y.y)((a (a a))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((a a) a))) 5. ==[ beta ]==> ((a (a a))((a a) a)) REDUCED to normal form. ------ 40499/2655606. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)(a b))) 3. ==[ beta ]==> ((a (^x.a))(a (a b))) REDUCED to normal form. ------ 40500/2655651. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 40501/2655723. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 40502/2655750. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a b)(^y.a))) 3. ==[ beta ]==> ((a a)((a b)(^y.a))) 4. ==[ alpha ]==> ((a a)((a b)(^x.a))) REDUCED to normal form. ------ 40503/2655777. ------ 1. ==[ start ]==> (((a a)(^b.a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 40504/2655804. ------ 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.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.(^z1.z1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 40505/2655867. ------ 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) a)((^y.a)(a b))) 4. ==[ alpha ]==> (((a a) a)((^x.a)(a b))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 40506/2655894. ------ 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.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. ------ 40507/2655921. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (a a))((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (a a))((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> ((a (a a))((a a)(^y.y))) 6. ==[ alpha ]==> ((a (a a))((a a)(^x.x))) REDUCED to normal form. ------ 40508/2655939. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 40509/2656146. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(b ((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(a a))(b ((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a)(a a))(b ((^x.x)(a a)))) 5. ==[ beta ]==> (((a a)(a a))(b (a a))) REDUCED to normal form. ------ 40510/2656173. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 40511/2656263. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.a) d)) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.a) d)) 3. ==[ beta ]==> ((b b)((^y.a) d)) 4. ==[ alpha ]==> ((b b)((^x.a) d)) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 40512/2656308. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 40513/2656335. ------ 1. ==[ start ]==> (((^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))) 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. ------ 40514/2656389. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a)((^x1.x1)(a a)))) 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))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 40515/2656425. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) 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))) 7. ==[ beta ]==> (a ((a a)(^y.y))) 8. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 40516/2656452. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 40517/2656479. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((a a) a)(^z.a))) REDUCED to normal form. ------ 40518/2656506. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^x.a))((^z.z)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.(z z)))) 7. ==[ beta ]==> ((a (^x.a))(^z.(z z))) 8. ==[ alpha ]==> ((a (^x.a))(^y.(y y))) REDUCED to normal form. ------ 40519/2656533. ------ 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. ------ 40520/2656596. ------ 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)(^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. ------ 40521/2656623. ------ 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 (^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. ------ 40522/2656650. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a))(^z.z))) 5. ==[ beta ]==> ((a a)((^y.(a a))(^z.z))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(^y.y))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 40523/2656677. ------ 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. ------ 40524/2656731. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((a ((a a) a))(^y.y)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 40525/2656821. ------ 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. ------ 40526/2656857. ------ 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 a)) REDUCED to normal form. ------ 40527/2656884. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.b) b)) 2. ==[ alpha ]==> ((((a a) a) a)((^x.b) b)) 3. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 40528/2656902. ------ 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. ------ 40529/2656929. ------ 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))((^x2.x2) a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))((^x2.x2) 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. ------ 40530/2656983. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a a)(((^y.y) a)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y)(^z.z)))) 9. ==[ beta ]==> ((a a)(a ((^y.y)(^z.z)))) 10. ==[ alpha ]==> ((a a)(a ((^x.x)(^y.y)))) 11. ==[ beta ]==> ((a a)(a (^y.y))) 12. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 40531/2657082. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.b)(a a))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.b)(a a))) 3. ==[ beta ]==> (((a a)((a a) a)) b) REDUCED to normal form. ------ 40532/2657136. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a (a (a a)))(^y.y)) 6. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 40533/2657163. ------ 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. ------ 40534/2657190. ------ 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)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 40535/2657217. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 40536/2657235. ------ 1. ==[ start ]==> (((^a.b) a)((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.b) a)((a a)(^y.b))) 3. ==[ beta ]==> (b ((a a)(^y.b))) 4. ==[ alpha ]==> (b ((a a)(^x.b))) REDUCED to normal form. ------ 40537/2657244. ------ 1. ==[ start ]==> ((a (a b))((^a.a)(a b))) 2. ==[ alpha ]==> ((a (a b))((^x.x)(a b))) 3. ==[ beta ]==> ((a (a b))(a b)) REDUCED to normal form. ------ 40538/2657415. ------ 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. ------ 40539/2657442. ------ 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. ------ 40540/2657451. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.b) a)) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.b) a)) 3. ==[ beta ]==> (((a a)(^x.b)) b) REDUCED to normal form. ------ 40541/2657469. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((a a) a)(a a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a a))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 40542/2657505. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 40543/2657523. ------ 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. ------ 40544/2657604. ------ 1. ==[ start ]==> (((^a.b)(a a))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a a))((a a)((a a) a))) 3. ==[ beta ]==> (b ((a a)((a a) a))) REDUCED to normal form. ------ 40545/2657649. ------ 1. ==[ start ]==> (((a a)(a b))((^c.a)(a a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.a)(a a))) 3. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 40546/2657676. ------ 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 (^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. ------ 40547/2657703. ------ 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 x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(z z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^y.y))((^z.(z z))((^x1.x1) a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y))((^z.z) a))) 7. ==[ beta ]==> ((a (^x.x))(((^z.z) a)((^z.z) a))) 8. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((^z.z) a))) 9. ==[ beta ]==> ((a (^x.x))(a ((^z.z) a))) 10. ==[ alpha ]==> ((a (^x.x))(a ((^y.y) a))) 11. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 40548/2657730. ------ 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. ------ 40549/2657757. ------ 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))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (a ((^y.(^z.z))((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> (a ((^x.(^y.y))((^z.z)(^x1.x1)))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 40550/2657784. ------ 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. ------ 40551/2657802. ------ 1. ==[ start ]==> (((^a.b) b)(((a a) a) a)) 2. ==[ alpha ]==> (((^x.b) b)(((a a) a) a)) 3. ==[ beta ]==> (b (((a a) a) a)) REDUCED to normal form. ------ 40552/2657811. ------ 1. ==[ start ]==> (((a b)(a a))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.a)(^y.y))) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 40553/2657838. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.(^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)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 40554/2657928. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b ((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(b ((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(b ((^y.y)(^z.z)))) 7. ==[ beta ]==> (b ((^y.y)(^z.z))) 8. ==[ alpha ]==> (b ((^x.x)(^y.y))) 9. ==[ beta ]==> (b (^y.y)) 10. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 40555/2658009. ------ 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. ------ 40556/2658018. ------ 1. ==[ start ]==> (((a b) b)((^a.(a a)) c)) 2. ==[ alpha ]==> (((a b) b)((^x.(x x)) c)) 3. ==[ beta ]==> (((a b) b)(c c)) REDUCED to normal form. ------ 40557/2658063. ------ 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. ------ 40558/2658090. ------ 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))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 40559/2658153. ------ 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. ------ 40560/2658180. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z) a)(^x1.a))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)(^z.a))) 7. ==[ beta ]==> ((((^y.y) a)(^z.a))(((^y.y) a)(^z.a))) 8. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z) a)(^x1.a))) 9. ==[ beta ]==> ((a (^y.a))(((^z.z) a)(^x1.a))) 10. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)(^z.a))) 11. ==[ beta ]==> ((a (^x.a))(a (^z.a))) 12. ==[ alpha ]==> ((a (^x.a))(a (^y.a))) REDUCED to normal form. ------ 40561/2658207. ------ 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 z)))) REDUCED to normal form. ------ 40562/2658234. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 40563/2658261. ------ 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)(^x.x))((^z.z) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 40564/2658297. ------ 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))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))(^y.y)) 8. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 40565/2658324. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 40566/2658351. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a ((a a) a))(^y.y)) 6. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 40567/2658378. ------ 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))(^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. ------ 40568/2658450. ------ 1. ==[ start ]==> (((^a.b) c)((^b.a) c)) 2. ==[ alpha ]==> (((^x.b) c)((^y.a) c)) 3. ==[ beta ]==> (b ((^y.a) c)) 4. ==[ alpha ]==> (b ((^x.a) c)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 40569/2658459. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(c (^b.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(c (^y.a))) REDUCED to normal form. ------ 40570/2658486. ------ 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. ------ 40571/2658513. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 40572/2658684. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 40573/2658693. ------ 1. ==[ start ]==> (((a b) c)((a (^a.a)) c)) 2. ==[ alpha ]==> (((a b) c)((a (^x.x)) c)) REDUCED to normal form. ------ 40574/2658747. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(a a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(y y)) a)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a a)) REDUCED to normal form. ------ 40575/2658765. ------ 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)(^x.x))(a (a a))) REDUCED to normal form. ------ 40576/2658792. ------ 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 (^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. ------ 40577/2658801. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 40578/2658882. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 40579/2658909. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a a)(^y.a))) REDUCED to normal form. ------ 40580/2658936. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 40581/2658963. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (^x1.x1)) b)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (^x1.x1)) b)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z)) b)) REDUCED to normal form. ------ 40582/2659053. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(b (^a.(^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. ------ 40583/2659080. ------ 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. ------ 40584/2659107. ------ 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))) 3. ==[ beta ]==> (((a (a a))((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.x)) REDUCED to normal form. ------ 40585/2659134. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)(a (^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(a (^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(a (^x1.x1)))) 7. ==[ beta ]==> ((^y.y)((^z.z)(a (^x1.x1)))) 8. ==[ alpha ]==> ((^x.x)((^y.y)(a (^z.z)))) 9. ==[ beta ]==> ((^y.y)(a (^z.z))) 10. ==[ alpha ]==> ((^x.x)(a (^y.y))) 11. ==[ beta ]==> (a (^y.y)) 12. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 40586/2659161. ------ 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)))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 40587/2659188. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.a)(^a.(^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. ------ 40588/2659215. ------ 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))) REDUCED to normal form. ------ 40589/2659242. ------ 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. ------ 40590/2659269. ------ 1. ==[ start ]==> ((a (b a))((^a.a)(a a))) 2. ==[ alpha ]==> ((a (b a))((^x.x)(a a))) 3. ==[ beta ]==> ((a (b a))(a a)) REDUCED to normal form. ------ 40591/2660163. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 40592/2661054. ------ 1. ==[ start ]==> ((^a.(^a.b))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 40593/2661234. ------ 1. ==[ start ]==> ((^a.(a b))(^c.(^a.b))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(^z.b))) 3. ==[ beta ]==> ((^y.(^z.b)) b) 4. ==[ alpha ]==> ((^x.(^y.b)) b) 5. ==[ beta ]==> (^y.b) 6. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 40594/2661621. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(^x1.b))) 3. ==[ beta ]==> (^y.((^z.(^x1.b))(^z.(^x1.b)))) 4. ==[ alpha ]==> (^x.((^y.(^z.b))(^x1.(^y1.b)))) 5. ==[ beta ]==> (^x.(^z.b)) 6. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 40595/2663259. ------ 1. ==[ start ]==> ((^a.(b a))(^c.(^a.a))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(^z.z))) 3. ==[ eta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 40596/2663349. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 40597/2663415. ------ 1. ==[ start ]==> (((a a)(^a.a))(^a.(b a))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(b y))) 3. ==[ eta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 40598/2663475. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(a a)) c)) 3. ==[ beta ]==> (((^z.(a a)) c)(^y.y)) 4. ==[ alpha ]==> (((^x.(a a)) c)(^y.y)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 40599/2663835. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(z z))((a a) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 40600/2663934. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((^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))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((((a a)(^y.y)) a)(((a a)(^z.z)) a))) REDUCED to normal form. ------ 40601/2664159. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.a)(^c.(^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. ------ 40602/2664162. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 40603/2664387. ------ 1. ==[ start ]==> (((a (a a)) b)(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a)) b)(^x.(a a))) REDUCED to normal form. ------ 40604/2664846. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (((^y.y) b)(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.((^z.z)(y y)))) 5. ==[ beta ]==> (b (^y.((^z.z)(y y)))) 6. ==[ alpha ]==> (b (^x.((^y.y)(x x)))) 7. ==[ beta ]==> (b (^x.(x x))) REDUCED to normal form. ------ 40605/2665050. ------ 1. ==[ start ]==> ((^a.(^a.b))(a (^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(a (^z.(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 40606/2665053. ------ 1. ==[ start ]==> ((a (^a.b))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(^z.(y y)))) REDUCED to normal form. ------ 40607/2665230. ------ 1. ==[ start ]==> ((^a.(a b))((a a)(^a.b))) 2. ==[ alpha ]==> ((^x.(x b))((a a)(^y.b))) 3. ==[ beta ]==> (((a a)(^y.b)) b) 4. ==[ alpha ]==> (((a a)(^x.b)) b) REDUCED to normal form. ------ 40608/2665233. ------ 1. ==[ start ]==> ((a (a b))(^c.(^a.b))) 2. ==[ alpha ]==> ((a (a b))(^x.(^y.b))) REDUCED to normal form. ------ 40609/2665242. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^b.(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(a z))) 3. ==[ eta ]==> (((^x.x)(^y.b)) a) 4. ==[ beta ]==> ((^y.b) a) 5. ==[ alpha ]==> ((^x.b) a) 6. ==[ beta ]==> b REDUCED to normal form. ------ 40610/2665431. ------ 1. ==[ start ]==> (((^a.a)(a b))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.y))) 3. ==[ beta ]==> ((a b)(^y.(^z.y))) 4. ==[ alpha ]==> ((a b)(^x.(^y.x))) REDUCED to normal form. ------ 40611/2665440. ------ 1. ==[ start ]==> (((a a)(^a.b))(^a.(a b))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(y b))) REDUCED to normal form. ------ 40612/2665602. ------ 1. ==[ start ]==> (((a b)(^a.a))(^c.((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.((a a) a))) REDUCED to normal form. ------ 40613/2665617. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(a (^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(a (^z.b))) 3. ==[ beta ]==> (^y.((a (^z.b))(a (^z.b)))) 4. ==[ alpha ]==> (^x.((a (^y.b))(a (^z.b)))) REDUCED to normal form. ------ 40614/2665620. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.b))) REDUCED to normal form. ------ 40615/2665824. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y)((((^z.z)(^x1.x1)) b)(((^z.z)(^x1.x1)) b))) 4. ==[ alpha ]==> ((^x.x)((((^y.y)(^z.z)) b)(((^x1.x1)(^y1.y1)) b))) 5. ==[ beta ]==> ((((^y.y)(^z.z)) b)(((^x1.x1)(^y1.y1)) 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. ------ 40616/2666088. ------ 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))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.x1))) REDUCED to normal form. ------ 40617/2666736. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^a.(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(y (y y)))) REDUCED to normal form. ------ 40618/2666817. ------ 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))(^y.a)) REDUCED to normal form. ------ 40619/2666835. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 40620/2666916. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^b.((^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 (^x.a)) REDUCED to normal form. ------ 40621/2667069. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^b.c)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.c)) 3. ==[ beta ]==> ((a (a b))(^y.c)) 4. ==[ alpha ]==> ((a (a b))(^x.c)) REDUCED to normal form. ------ 40622/2667177. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^c.b)) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.b)) 3. ==[ beta ]==> (((a b) a)(^y.b)) 4. ==[ alpha ]==> (((a b) a)(^x.b)) REDUCED to normal form. ------ 40623/2667231. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^b.b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 40624/2667255. ------ 1. ==[ start ]==> ((^a.(b a))((a a)(^a.a))) 2. ==[ alpha ]==> ((^x.(b x))((a a)(^y.y))) 3. ==[ eta ]==> (b ((a a)(^y.y))) 4. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 40625/2667258. ------ 1. ==[ start ]==> ((a (b a))(^c.(^a.a))) 2. ==[ alpha ]==> ((a (b a))(^x.(^y.y))) REDUCED to normal form. ------ 40626/2667351. ------ 1. ==[ start ]==> ((a (^a.a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 40627/2667387. ------ 1. ==[ start ]==> (((a a) a)(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a) a)(b ((a a)(^x.x)))) REDUCED to normal form. ------ 40628/2667414. ------ 1. ==[ start ]==> (((a a)(^a.a))(a (b a))) 2. ==[ alpha ]==> (((a a)(^x.x))(a (b a))) REDUCED to normal form. ------ 40629/2667441. ------ 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. ------ 40630/2667468. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 40631/2667477. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(a a)) c)) 3. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 40632/2667495. ------ 1. ==[ start ]==> (((a a) b)((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a a) b)((a b)((^x.x) a))) 3. ==[ beta ]==> (((a a) b)((a b) a)) REDUCED to normal form. ------ 40633/2667522. ------ 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. ------ 40634/2667549. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^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. ------ 40635/2667576. ------ 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))) REDUCED to normal form. ------ 40636/2667630. ------ 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)((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. ------ 40637/2667756. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y) a)((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.b)((^z.z) a))) 5. ==[ beta ]==> (a ((^y.b)((^z.z) a))) 6. ==[ alpha ]==> (a ((^x.b)((^y.y) a))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 40638/2667837. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))((a a) a))) 3. ==[ beta ]==> ((a (^x.(x x)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 40639/2667855. ------ 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) 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. ------ 40640/2667882. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(^x1.(a a)))) REDUCED to normal form. ------ 40641/2667936. ------ 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. ------ 40642/2667972. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.z))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 40643/2668053. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 40644/2668134. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(^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. ------ 40645/2668143. ------ 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. ------ 40646/2668161. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.a)(^c.(^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. ------ 40647/2668206. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(a a)) b)) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(a a)) b)) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(a a)) b)) 5. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 40648/2668233. ------ 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. ------ 40649/2668251. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((a a) a)((^y.y) a))) 3. ==[ beta ]==> ((b b)(((a a) a)((^y.y) a))) 4. ==[ alpha ]==> ((b b)(((a a) a)((^x.x) a))) 5. ==[ beta ]==> ((b b)(((a a) a) a)) REDUCED to normal form. ------ 40650/2668377. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b (^x1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b (^x1.(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (^y1.(a a)))) 5. ==[ beta ]==> ((^y.y)(b (^y1.(a a)))) 6. ==[ alpha ]==> ((^x.x)(b (^y.(a a)))) 7. ==[ beta ]==> (b (^y.(a a))) 8. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 40651/2668386. ------ 1. ==[ start ]==> (((a (a a)) b)((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((a a)((^x.x)(a a)))) 3. ==[ beta ]==> (((a (a a)) b)((a a)(a a))) REDUCED to normal form. ------ 40652/2668431. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(a a))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(a a))) 5. ==[ beta ]==> ((^y.y)((^z.(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 a) REDUCED to normal form. ------ 40653/2668458. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)(a (^x1.x1)))) 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. ------ 40654/2668512. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 40655/2668584. ------ 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))) 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. ------ 40656/2668611. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a a)(^y.(a a)))) REDUCED to normal form. ------ 40657/2668638. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(a a)) a)) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(a a)) a)) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(a a)) a)) 5. ==[ beta ]==> ((a a)(((^y.y)(a a)) a)) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a)) a)) 7. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 40658/2668665. ------ 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. ------ 40659/2668755. ------ 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.(^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. ------ 40660/2668809. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(^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. ------ 40661/2668845. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(a ((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.y) b)(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x) b)(a ((^y.y)(a a)))) 5. ==[ beta ]==> (b (a ((^y.y)(a a)))) 6. ==[ alpha ]==> (b (a ((^x.x)(a a)))) 7. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 40662/2668872. ------ 1. ==[ start ]==> ((((a a) a) a)((a b)(a a))) REDUCED to normal form. ------ 40663/2668926. ------ 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))((^z1.z1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)((^z1.z1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)((^y1.y1) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1) a)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1) a)) 7. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 40664/2668953. ------ 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. ------ 40665/2668980. ------ 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)(^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. ------ 40666/2669007. ------ 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.y1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))((a a) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((a a) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 40667/2669034. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a a)(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)(a b))) REDUCED to normal form. ------ 40668/2669052. ------ 1. ==[ start ]==> ((a (^a.b))(a (^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))(a (^y.(a a)))) REDUCED to normal form. ------ 40669/2669070. ------ 1. ==[ start ]==> (((a a)((a a) a))((a b)(^a.a))) 2. ==[ alpha ]==> (((a a)((a a) a))((a b)(^x.x))) REDUCED to normal form. ------ 40670/2669097. ------ 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. ------ 40671/2669124. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> ((a (a (a a)))((^y.y)(^z.a))) 6. ==[ alpha ]==> ((a (a (a a)))((^x.x)(^y.a))) 7. ==[ beta ]==> ((a (a (a a)))(^y.a)) 8. ==[ alpha ]==> ((a (a (a a)))(^x.a)) REDUCED to normal form. ------ 40672/2669151. ------ 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. ------ 40673/2669178. ------ 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) 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. ------ 40674/2669232. ------ 1. ==[ start ]==> ((a (a b))((a a)(^a.b))) 2. ==[ alpha ]==> ((a (a b))((a a)(^x.b))) REDUCED to normal form. ------ 40675/2669241. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)(a b))) 3. ==[ beta ]==> ((^y.b)((^z.z)(a b))) 4. ==[ alpha ]==> ((^x.b)((^y.y)(a b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 40676/2669322. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(^y1.a))) IRREDUCIBLE: cycle. ------ 40677/2669385. ------ 1. ==[ start ]==> ((((a a) a) b)(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(c ((^x.x)(^y.y)))) 3. ==[ beta ]==> ((((a a) a) b)(c (^y.y))) 4. ==[ alpha ]==> ((((a a) a) b)(c (^x.x))) REDUCED to normal form. ------ 40678/2669403. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b ((^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. ------ 40679/2669412. ------ 1. ==[ start ]==> (((a b) a)(b ((a a) a))) REDUCED to normal form. ------ 40680/2669430. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.y)(^z.b))) 3. ==[ beta ]==> ((a b)((^y.y)(^z.b))) 4. ==[ alpha ]==> ((a b)((^x.x)(^y.b))) 5. ==[ beta ]==> ((a b)(^y.b)) 6. ==[ alpha ]==> ((a b)(^x.b)) REDUCED to normal form. ------ 40681/2669439. ------ 1. ==[ start ]==> (((a a)(^a.b))(a (a b))) 2. ==[ alpha ]==> (((a a)(^x.b))(a (a b))) REDUCED to normal form. ------ 40682/2669493. ------ 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 (^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. ------ 40683/2669520. ------ 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. ------ 40684/2669547. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1) a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a)(a (a a)))) 5. ==[ beta ]==> ((^y.a)(((^z.z) a)(a (a a)))) 6. ==[ alpha ]==> ((^x.a)(((^y.y) a)(a (a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 40685/2669574. ------ 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. ------ 40686/2669592. ------ 1. ==[ start ]==> (((^a.b)(a a))(b (^c.a))) 2. ==[ alpha ]==> (((^x.b)(a a))(b (^y.a))) 3. ==[ beta ]==> (b (b (^y.a))) 4. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 40687/2669601. ------ 1. ==[ start ]==> (((a b)(^a.a))((a a)((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.x))((a a)((a a) a))) REDUCED to normal form. ------ 40688/2669619. ------ 1. ==[ start ]==> ((a (^b.(a a)))(a (^a.b))) 2. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.b))) REDUCED to normal form. ------ 40689/2669637. ------ 1. ==[ start ]==> (((a a)(a b))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a a)(a b))(((a a) a)(^x.x))) REDUCED to normal form. ------ 40690/2669664. ------ 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))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y)(^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. ------ 40691/2669691. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a (a a))(^x1.a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (a a))(^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (a a))(^z.a))) 5. ==[ beta ]==> ((a (^y.y))((a (a a))(^z.a))) 6. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.a))) REDUCED to normal form. ------ 40692/2669718. ------ 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. ------ 40693/2669745. ------ 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)))) REDUCED to normal form. ------ 40694/2669799. ------ 1. ==[ start ]==> (((a b)(a a))(((a a) a) a)) REDUCED to normal form. ------ 40695/2669826. ------ 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 (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. ------ 40696/2669835. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.(^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. ------ 40697/2669862. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^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. ------ 40698/2669916. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 40699/2670006. ------ 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. ------ 40700/2670033. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)((^z.z) a))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> (((a a) a)(a ((^y.y) a))) 6. ==[ alpha ]==> (((a a) a)(a ((^x.x) a))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 40701/2670060. ------ 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. ------ 40702/2670078. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(b (^b.(^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. ------ 40703/2670087. ------ 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)))) 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. ------ 40704/2670132. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(a a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(a a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(a a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(a a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a a))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a a))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 11. ==[ beta ]==> ((^y.(^z.z))(a a)) 12. ==[ alpha ]==> ((^x.(^y.y))(a a)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 40705/2670195. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(c d)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(c d)) REDUCED to normal form. ------ 40706/2670213. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(^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. ------ 40707/2670285. ------ 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. ------ 40708/2670312. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a) a) c)) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y) a) c)) 3. ==[ beta ]==> (((a (^x.x))(a b))(a c)) REDUCED to normal form. ------ 40709/2670393. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.(^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)) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 40710/2670420. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(y y)) b)) 3. ==[ beta ]==> ((((a a) a) a)((^y.(y y)) b)) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(x x)) b)) 5. ==[ beta ]==> ((((a a) a) a)(b b)) REDUCED to normal form. ------ 40711/2670438. ------ 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. ------ 40712/2670447. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.a) c)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.a) c)) 3. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 40713/2670537. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(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. ------ 40714/2670672. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 40715/2670681. ------ 1. ==[ start ]==> (((a b) c)(c (a (^a.a)))) 2. ==[ alpha ]==> (((a b) c)(c (a (^x.x)))) REDUCED to normal form. ------ 40716/2670708. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 40717/2670735. ------ 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. ------ 40718/2670789. ------ 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 (^x1.x1)))) REDUCED to normal form. ------ 40719/2670816. ------ 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))) 5. ==[ beta ]==> ((a (^x.b))((a a) a)) REDUCED to normal form. ------ 40720/2670834. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(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. ------ 40721/2670870. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(c b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(c b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(c b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c b)) 5. ==[ beta ]==> ((^y.(^z.z))(c b)) 6. ==[ alpha ]==> ((^x.(^y.y))(c b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 40722/2670897. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(b c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(b c)) REDUCED to normal form. ------ 40723/2670915. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 40724/2670978. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b (a (^z.z)))) REDUCED to normal form. ------ 40725/2671014. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.a) a)) 3. ==[ beta ]==> (((a a)((a a)(^x.x))) a) REDUCED to normal form. ------ 40726/2671041. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z)) b)) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 40727/2671068. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 40728/2671095. ------ 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))) REDUCED to normal form. ------ 40729/2671122. ------ 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.(^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. ------ 40730/2671149. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((a (^x.x)) a)) REDUCED to normal form. ------ 40731/2671176. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a a) b)) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a a) b)) 3. ==[ beta ]==> (((a b) a)((a a) b)) REDUCED to normal form. ------ 40732/2671203. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.(^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. ------ 40733/2671230. ------ 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. ------ 40734/2671257. ------ 1. ==[ start ]==> ((a (b a))((a a)(^a.a))) 2. ==[ alpha ]==> ((a (b a))((a a)(^x.x))) REDUCED to normal form. ------ 40735/2675400. ------ 1. ==[ start ]==> ((^a.b)(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(b ((a a)(^y.y)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 40736/2675481. ------ 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 ]==> ((((^z.z)(a a))(a (^x1.x1)))(^y.y)) 4. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(^z.z)) 5. ==[ beta ]==> (((a a)(a (^y.y)))(^z.z)) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 40737/2675670. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a a)((a a)(^z.z)))) 3. ==[ eta ]==> ((^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. ------ 40738/2675934. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.((a a)(^z.z)))) 3. ==[ beta ]==> ((a a)(^y.((a a)(^z.z)))) 4. ==[ alpha ]==> ((a a)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 40739/2676186. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 40740/2676291. ------ 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))(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. ------ 40741/2676852. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(a a)))) 5. ==[ beta ]==> (b (^y.(^z.(a a)))) 6. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 40742/2677248. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.b))) 3. ==[ beta ]==> ((^y.b)(^z.(^x1.b))) 4. ==[ alpha ]==> ((^x.b)(^y.(^z.b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 40743/2677446. ------ 1. ==[ start ]==> (((a a)(^a.b))(^b.(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.y))) REDUCED to normal form. ------ 40744/2677797. ------ 1. ==[ start ]==> (((^a.b) b)(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.b) b)(^y.((a a) a))) 3. ==[ beta ]==> (b (^y.((a a) a))) 4. ==[ alpha ]==> (b (^x.((a a) a))) REDUCED to normal form. ------ 40745/2678256. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^y.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 40746/2678400. ------ 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)))) 7. ==[ beta ]==> ((a (a a))(^x.(^z.z))) 8. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 40747/2678505. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a a)(a (a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a a)(a (a a)))) 3. ==[ beta ]==> ((((a a)(a (a a)))((a a)(a (a a))))(^y.y)) 4. ==[ alpha ]==> ((((a a)(a (a a)))((a a)(a (a a))))(^x.x)) REDUCED to normal form. ------ 40748/2678742. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.(z z)))) REDUCED to normal form. ------ 40749/2678922. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^c.(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(^x1.a))) 3. ==[ beta ]==> (b (^z.(^x1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 40750/2678931. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 40751/2679021. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^a.((^a.a) a))) 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. ------ 40752/2679075. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 40753/2679210. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(y (^z.z)))) REDUCED to normal form. ------ 40754/2679261. ------ 1. ==[ start ]==> ((^a.(b a))(b a)) 2. ==[ alpha ]==> ((^x.(b x))(b a)) 3. ==[ eta ]==> (b (b a)) REDUCED to normal form. ------ 40755/2679375. ------ 1. ==[ start ]==> (((^a.a) a)((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (a ((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> (a ((^x.a)(^y.(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 40756/2679411. ------ 1. ==[ start ]==> ((a b)(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a b)(b ((a a)(^x.x)))) REDUCED to normal form. ------ 40757/2679465. ------ 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. ------ 40758/2679492. ------ 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)))) 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. ------ 40759/2679501. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a)) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a)) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a)) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 40760/2679627. ------ 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. ------ 40761/2679645. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(c (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(c (^z.(a a)))) 3. ==[ beta ]==> ((^y.y)(c (^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)(c (^y.(a a)))) 5. ==[ beta ]==> (c (^y.(a a))) 6. ==[ alpha ]==> (c (^x.(a a))) REDUCED to normal form. ------ 40762/2679654. ------ 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 (^x.x))(a a))((a (^y.y))(a a))) REDUCED to normal form. ------ 40763/2679681. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) 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. ------ 40764/2679717. ------ 1. ==[ start ]==> (((^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))) 3. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.z))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 40765/2679726. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 40766/2679753. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> ((a a)((^y.(a a))(a (^z.z)))) 4. ==[ alpha ]==> ((a a)((^x.(a a))(a (^y.y)))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 40767/2679771. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a b)(^b.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. ------ 40768/2679780. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.b)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 40769/2679798. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 40770/2679834. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 40771/2679942. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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)))) 5. ==[ beta ]==> ((a a)((a a)(^y.y))) 6. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 40772/2679960. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a)(^z.z)) a)) 3. ==[ beta ]==> ((^y.(y y))(((a a)(^z.z)) a)) 4. ==[ alpha ]==> ((^x.(x x))(((a a)(^y.y)) a)) 5. ==[ beta ]==> ((((a a)(^y.y)) a)(((a a)(^y.y)) a)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(((a a)(^y.y)) a)) REDUCED to normal form. ------ 40773/2679987. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 40774/2680023. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.b)(^b.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. ------ 40775/2680077. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(^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. ------ 40776/2680104. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.a)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a)(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 40777/2680131. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)(^y1.b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(^y1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.b))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 40778/2680158. ------ 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. ------ 40779/2680194. ------ 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. ------ 40780/2680221. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(a a))(a a))) 5. ==[ beta ]==> (((a (^x.x)) a)((a a)(a a))) REDUCED to normal form. ------ 40781/2680248. ------ 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. ------ 40782/2680275. ------ 1. ==[ start ]==> (((a (a a))(a a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a a))(((a a) a)((^x.x) a))) 3. ==[ beta ]==> (((a (a a))(a a))(((a a) a) a)) REDUCED to normal form. ------ 40783/2680302. ------ 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))(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(a (a a)))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)(a (a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(a (a a)))) 7. ==[ beta ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 40784/2680401. ------ 1. ==[ start ]==> (((a (a a)) b)(b (^b.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)(b (^x.(a a)))) REDUCED to normal form. ------ 40785/2680446. ------ 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 a))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.z))) 7. ==[ beta ]==> (((^y.y)(a a))(^z.z)) 8. ==[ alpha ]==> (((^x.x)(a a))(^y.y)) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 40786/2680455. ------ 1. ==[ start ]==> (((a a)(^b.(^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 a)) REDUCED to normal form. ------ 40787/2680473. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a b)(^a.(^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. ------ 40788/2680482. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) b) REDUCED to normal form. ------ 40789/2680509. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.a))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 40790/2680527. ------ 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)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)(^y1.(y1 y1)))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(^x1.(x1 x1)))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.(x1 x1))) 8. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(z z))) REDUCED to normal form. ------ 40791/2680536. ------ 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. ------ 40792/2680563. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.z))) 9. ==[ beta ]==> (((^y.y)(^z.z))((^y.y)(^z.z))) 10. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 11. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 12. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 13. ==[ beta ]==> ((^y.y)(^z.z)) 14. ==[ alpha ]==> ((^x.x)(^y.y)) 15. ==[ beta ]==> (^y.y) 16. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 40793/2680860. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y) b)((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x) b)((^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. ------ 40794/2680905. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.b) b)) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.b) b)) 3. ==[ beta ]==> (((a a) a)((^y.b) b)) 4. ==[ alpha ]==> (((a a) a)((^x.b) b)) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 40795/2681049. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(b (^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(b (^y.b))) REDUCED to normal form. ------ 40796/2681238. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (b ((^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. ------ 40797/2681256. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a a)(^z.b))) 3. ==[ beta ]==> ((^y.b)((a a)(^z.b))) 4. ==[ alpha ]==> ((^x.b)((a a)(^y.b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 40798/2681400. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.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. ------ 40799/2681427. ------ 1. ==[ start ]==> (((a b) a)((^a.(^a.a))(^c.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. ------ 40800/2681454. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(^z.b))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.b)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.b)) REDUCED to normal form. ------ 40801/2681472. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) 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. ------ 40802/2681526. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.z)) c)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y)) c)) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 40803/2681616. ------ 1. ==[ start ]==> (((a b)(^a.a))(b (^c.a))) 2. ==[ alpha ]==> (((a b)(^x.x))(b (^y.a))) REDUCED to normal form. ------ 40804/2681805. ------ 1. ==[ start ]==> (((^a.b) b)((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.y)((a a) a))) 3. ==[ beta ]==> (b ((^y.y)((a a) a))) 4. ==[ alpha ]==> (b ((^x.x)((a a) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 40805/2681850. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.(a a))(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 40806/2681877. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a (a a)) c)) 3. ==[ beta ]==> ((^y.y)((a (a a)) c)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) c)) 5. ==[ beta ]==> ((a (a a)) c) REDUCED to normal form. ------ 40807/2682012. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 40808/2682075. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(c (^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(c (^y.(y y)))) REDUCED to normal form. ------ 40809/2682102. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 40810/2682147. ------ 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 ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.x2))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.x2))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.z1))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(^z1.z1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.y1))) 9. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.y1))) 10. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.x1))) 11. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 12. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 13. ==[ beta ]==> ((^y.y)(^z.z)) 14. ==[ alpha ]==> ((^x.x)(^y.y)) 15. ==[ beta ]==> (^y.y) 16. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 40811/2682156. ------ 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)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 40812/2682183. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(x1 x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(z z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.(z z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(a (^z.z)))) 7. ==[ beta ]==> (((^y.(y y))(a (^z.z)))((^y.(y y))(a (^z.z)))) 8. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(z z))(a (^x1.x1)))) 9. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(z z))(a (^x1.x1)))) 10. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))(a (^x1.x1)))) 11. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a (^x1.x1))(a (^x1.x1)))) 12. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 40813/2682210. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 40814/2682228. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((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. ------ 40815/2682237. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 40816/2682264. ------ 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)(^x.x))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 40817/2682381. ------ 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. ------ 40818/2682408. ------ 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)))) 7. ==[ beta ]==> ((a (a a))(a (^y.y))) 8. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 40819/2682435. ------ 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. ------ 40820/2682453. ------ 1. ==[ start ]==> (((^a.b) c)(d (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(d (^y.(^z.z)))) 3. ==[ beta ]==> (b (d (^y.(^z.z)))) 4. ==[ alpha ]==> (b (d (^x.(^y.y)))) REDUCED to normal form. ------ 40821/2682462. ------ 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. ------ 40822/2682489. ------ 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. ------ 40823/2682516. ------ 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. ------ 40824/2682552. ------ 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. ------ 40825/2682687. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 40826/2682696. ------ 1. ==[ start ]==> (((a b) c)((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 40827/2682723. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 40828/2682750. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(z z))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(y y))) REDUCED to normal form. ------ 40829/2682768. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(z z)) a)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z)) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y)) a)) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 40830/2682795. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^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. ------ 40831/2682804. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(c (^z.(^x1.x1)))) REDUCED to normal form. ------ 40832/2682831. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(b (^z.a))) 3. ==[ beta ]==> ((a (^y.b))(b (^z.a))) 4. ==[ alpha ]==> ((a (^x.b))(b (^y.a))) REDUCED to normal form. ------ 40833/2682885. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(a a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 40834/2682912. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(^z.z))(a (^x1.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. ------ 40835/2682930. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a a)(^z.a))) 3. ==[ beta ]==> (b ((a a)(^z.a))) 4. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 40836/2682939. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 40837/2682966. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 40838/2682993. ------ 1. ==[ start ]==> ((((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.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. ------ 40839/2683029. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(a ((^y.y) a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 40840/2683056. ------ 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))) REDUCED to normal form. ------ 40841/2683083. ------ 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. ------ 40842/2683137. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(b b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b b)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b b)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b b)) 5. ==[ beta ]==> (((^y.y)(^z.z))(b b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(b b)) 7. ==[ beta ]==> ((^y.y)(b b)) 8. ==[ alpha ]==> ((^x.x)(b b)) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 40843/2683191. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(b (a a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(b (a a))) 3. ==[ beta ]==> (((a b) a)(b (a a))) REDUCED to normal form. ------ 40844/2683218. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(a (a (^z.z)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(a (a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(a (a (^y.y)))) REDUCED to normal form. ------ 40845/2683245. ------ 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. ------ 40846/2683272. ------ 1. ==[ start ]==> ((a (b a))(b a)) REDUCED to normal form. ------ 40847/2683361. ------ 1. ==[ start ]==> (^a.((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (^x.((^y.(y y))(^z.b))) 3. ==[ beta ]==> (^x.((^z.b)(^z.b))) 4. ==[ alpha ]==> (^x.((^y.b)(^z.b))) 5. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 40848/2683362. ------ 1. ==[ start ]==> (a ((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (a ((^x.(x x))(^y.b))) 3. ==[ beta ]==> (a ((^y.b)(^y.b))) 4. ==[ alpha ]==> (a ((^x.b)(^y.b))) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 40849/2683455. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(b x1))) 3. ==[ eta ]==> ((^x.(^y.(^z.z))) b) 4. ==[ beta ]==> (^y.(^z.z)) 5. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 40850/2683959. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.((a a)(^z.z)))((^y.((a a)(^z.z)))(^y.((a a)(^z.z))))) 4. ==[ alpha ]==> ((^x.((a a)(^y.y)))((^z.((a a)(^x1.x1)))(^y1.((a a)(^z1.z1))))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 40851/2685075. ------ 1. ==[ start ]==> ((^a.(^a.b))(^c.(a b))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(a b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 40852/2685642. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^c.((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.((a a) a))) 3. ==[ beta ]==> (^y.((^z.((a a) a))(^z.((a a) a)))) 4. ==[ alpha ]==> (^x.((^y.((a a) a))(^z.((a a) a)))) 5. ==[ beta ]==> (^x.((a a) a)) REDUCED to normal form. ------ 40853/2687280. ------ 1. ==[ start ]==> ((^a.(b a))(^a.(^a.(^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. ------ 40854/2687373. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b)) a) 2. ==[ alpha ]==> (((^x.(x x))(^y.b)) a) 3. ==[ beta ]==> (((^y.b)(^y.b)) a) 4. ==[ alpha ]==> (((^x.b)(^y.b)) a) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 40855/2687379. ------ 1. ==[ start ]==> ((^a.a)((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.b))) 3. ==[ beta ]==> ((^y.(y y))(^z.b)) 4. ==[ alpha ]==> ((^x.(x x))(^y.b)) 5. ==[ beta ]==> ((^y.b)(^y.b)) 6. ==[ alpha ]==> ((^x.b)(^y.b)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 40856/2687406. ------ 1. ==[ start ]==> ((^a.(a a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((^y.a)(^z.(a a)))((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.(a a)))((^z.a)(^x1.(a a)))) 5. ==[ beta ]==> (a ((^z.a)(^x1.(a a)))) 6. ==[ alpha ]==> (a ((^x.a)(^y.(a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 40857/2687433. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 40858/2687469. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(a (b a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (b a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 40859/2687472. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(b z))) 3. ==[ eta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 40860/2687631. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (a a))((a a) a))) 3. ==[ beta ]==> (^y.((a (a a))((a a) a))) 4. ==[ alpha ]==> (^x.((a (a a))((a a) a))) REDUCED to normal form. ------ 40861/2687703. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(b (^z.(^x1.x1)))) 3. ==[ eta ]==> ((^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. ------ 40862/2687715. ------ 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. ------ 40863/2687973. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(((^y.y)((a a)(^z.z)))((^y.y)((a a)(^z.z))))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z)((a a)(^x1.x1)))((^y1.y1)((a a)(^z1.z1))))) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z)((a a)(^x1.x1)))((^y1.y1)((a a)(^z1.z1))))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)((a a)(^z.z)))((^x1.x1)((a a)(^y1.y1))))) 7. ==[ beta ]==> (((a a)(^x.x))(((a a)(^z.z))((^x1.x1)((a a)(^y1.y1))))) 8. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))((^z.z)((a a)(^x1.x1))))) 9. ==[ beta ]==> (((a a)(^x.x))(((a a)(^y.y))((a a)(^x1.x1)))) 10. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 40864/2687976. ------ 1. ==[ start ]==> ((a (a (a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 40865/2688198. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 40866/2688219. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 40867/2688678. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^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)))) 5. ==[ beta ]==> ((a a)(^y.((^z.z)(a a)))) 6. ==[ alpha ]==> ((a a)(^x.((^y.y)(a a)))) 7. ==[ beta ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 40868/2689089. ------ 1. ==[ start ]==> ((^a.(^a.b))((a a)(a b))) 2. ==[ alpha ]==> ((^x.(^y.b))((a a)(a b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 40869/2689092. ------ 1. ==[ start ]==> ((a (^a.b))(^c.(a b))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(a b))) REDUCED to normal form. ------ 40870/2689110. ------ 1. ==[ start ]==> (((a a)((a a) a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(^x.(^y.(x x)))) REDUCED to normal form. ------ 40871/2689269. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(^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. ------ 40872/2689497. ------ 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)(^z.(z b))) 4. ==[ alpha ]==> ((^x.x)(^y.(y b))) 5. ==[ beta ]==> (^y.(y b)) 6. ==[ alpha ]==> (^x.(x b)) REDUCED to normal form. ------ 40873/2689656. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a a)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a a)((a a) a))) 3. ==[ beta ]==> (^y.(((a a)((a a) a))((a a)((a a) a)))) 4. ==[ alpha ]==> (^x.(((a a)((a a) a))((a a)((a a) a)))) REDUCED to normal form. ------ 40874/2689659. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^c.((a a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.((a a) a))) REDUCED to normal form. ------ 40875/2689677. ------ 1. ==[ start ]==> (((a a)(a b))(^a.(^a.b))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(^y.b))) REDUCED to normal form. ------ 40876/2689830. ------ 1. ==[ start ]==> (((^a.b) b)(^c.(^c.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. ------ 40877/2689839. ------ 1. ==[ start ]==> (((a b)(a a))(^b.((a a) a))) 2. ==[ alpha ]==> (((a b)(a a))(^x.((a a) a))) REDUCED to normal form. ------ 40878/2690433. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(^b.(^b.(^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. ------ 40879/2690538. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(b (^z.(z z)))) 3. ==[ beta ]==> (((b (^z.(z z)))(b (^z.(z z))))(^y.y)) 4. ==[ alpha ]==> (((b (^x.(x x)))(b (^y.(y y))))(^z.z)) REDUCED to normal form. ------ 40880/2690793. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.(z (z z)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(z (z z)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(y (y y)))) REDUCED to normal form. ------ 40881/2690964. ------ 1. ==[ start ]==> (((a b)(^b.a))(^c.(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 40882/2691054. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(^z.a))) REDUCED to normal form. ------ 40883/2691135. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(^x.(^y.x))) REDUCED to normal form. ------ 40884/2691189. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.(a (^y.y)))) REDUCED to normal form. ------ 40885/2691243. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(^b.(^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. ------ 40886/2691294. ------ 1. ==[ start ]==> ((^a.(b a))(a (^a.(^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. ------ 40887/2691297. ------ 1. ==[ start ]==> ((a (b a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 40888/2691387. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^a.a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.z)) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.z)) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.z)) 5. ==[ beta ]==> (b (^z.z)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 40889/2691399. ------ 1. ==[ start ]==> ((a a)((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((a a)((^x.(x x))(^y.b))) 3. ==[ beta ]==> ((a a)((^y.b)(^y.b))) 4. ==[ alpha ]==> ((a a)((^x.b)(^y.b))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 40890/2691426. ------ 1. ==[ start ]==> ((a (a a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (a a))((^x.a)(^y.(a a)))) 3. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 40891/2691453. ------ 1. ==[ start ]==> ((a b)((^a.(^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. ------ 40892/2691462. ------ 1. ==[ start ]==> (((^a.a)(a a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(b ((a a)(^y.y)))) 3. ==[ beta ]==> ((a a)(b ((a a)(^y.y)))) 4. ==[ alpha ]==> ((a a)(b ((a a)(^x.x)))) REDUCED to normal form. ------ 40893/2691489. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(a (b a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a (b a))) REDUCED to normal form. ------ 40894/2691543. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a))(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. ------ 40895/2691552. ------ 1. ==[ start ]==> (((a a) b)((^b.(a a)) c)) 2. ==[ alpha ]==> (((a a) b)((^x.(a a)) c)) 3. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 40896/2691570. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a b)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((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. ------ 40897/2691597. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^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. ------ 40898/2691624. ------ 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)(^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. ------ 40899/2691651. ------ 1. ==[ start ]==> ((a (^b.a))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.a))((a (a a))((a a) a))) REDUCED to normal form. ------ 40900/2691723. ------ 1. ==[ start ]==> ((a ((^a.a) a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(b (^y.(^z.z)))) 3. ==[ beta ]==> ((a a)(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 40901/2691732. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.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)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 40902/2691768. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 40903/2691795. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a)(a a))(^a.(^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. ------ 40904/2691822. ------ 1. ==[ start ]==> (((a a)(^b.a))((a b)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((a b)(^y.a))) REDUCED to normal form. ------ 40905/2691849. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a)(^x1.(x1 x1)))) REDUCED to normal form. ------ 40906/2691876. ------ 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.(^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 (^x.x))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 40907/2691912. ------ 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) 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. ------ 40908/2691939. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)(a b))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 40909/2691966. ------ 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. ------ 40910/2691993. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.x)((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. ------ 40911/2692065. ------ 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. ------ 40912/2692218. ------ 1. ==[ start ]==> ((a (^b.(^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. ------ 40913/2692308. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.b) c)) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.b) c)) 3. ==[ beta ]==> ((b b)((^y.b) c)) 4. ==[ alpha ]==> ((b b)((^x.b) c)) 5. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 40914/2692353. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 40915/2692380. ------ 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)(^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. ------ 40916/2692434. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.x1))(a b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1))(a b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(a b))) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1))(a b))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(a b))) 7. ==[ beta ]==> ((a (^y.y))(a b)) 8. ==[ alpha ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 40917/2692497. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 40918/2692524. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 40919/2692551. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((a a) a)(^b.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. ------ 40920/2692578. ------ 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.(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. ------ 40921/2692605. ------ 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. ------ 40922/2692641. ------ 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)(^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. ------ 40923/2692668. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.(^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. ------ 40924/2692695. ------ 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.x1)(a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^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. ------ 40925/2692722. ------ 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. ------ 40926/2692749. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.b)(^a.(^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. ------ 40927/2692866. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(c ((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(c ((a a) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(c ((a a) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(c ((a a) a))) 5. ==[ beta ]==> (a (c ((a a) a))) REDUCED to normal form. ------ 40928/2692929. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.(a a)) a)) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(a a)) a)) 3. ==[ beta ]==> ((((a a) a) a)(a a)) REDUCED to normal form. ------ 40929/2692947. ------ 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. ------ 40930/2692974. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((a a) a)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a (^y.y)))) 5. ==[ beta ]==> (((a a) a)(a (^y.y))) 6. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 40931/2692983. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.a) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 40932/2693028. ------ 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. ------ 40933/2693109. ------ 1. ==[ start ]==> ((a (^a.b))((a a)(a b))) 2. ==[ alpha ]==> ((a (^x.b))((a a)(a b))) REDUCED to normal form. ------ 40934/2693127. ------ 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. ------ 40935/2693154. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.b)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.b)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b)(a a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 40936/2693208. ------ 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))((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a (a a)) a)(^y.y)) 6. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 40937/2693235. ------ 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 x1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(x1 x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z))(a (a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(z z))(a (a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(a (a a)))) 7. ==[ beta ]==> ((a (^x.x))((a (a a))(a (a a)))) REDUCED to normal form. ------ 40938/2693262. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 40939/2693280. ------ 1. ==[ start ]==> (((^a.b) a)((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 40940/2693289. ------ 1. ==[ start ]==> ((a (a b))((^a.(^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. ------ 40941/2693460. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (c ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (c ((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (c (^y.y))) 6. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 40942/2693487. ------ 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. ------ 40943/2693514. ------ 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 b))) 4. ==[ alpha ]==> ((^x.x)(a (a b))) 5. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 40944/2693550. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^c.a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a) b)) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 40945/2693568. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)(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. ------ 40946/2693577. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 40947/2693649. ------ 1. ==[ start ]==> (((^a.b)(a a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((a (^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((a (^x.x))(^z.z))) 6. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 40948/2693676. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a a)((a a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a a)((a a) a))) REDUCED to normal form. ------ 40949/2693694. ------ 1. ==[ start ]==> (((a a)(a b))(a (^a.b))) 2. ==[ alpha ]==> (((a a)(a b))(a (^x.b))) REDUCED to normal form. ------ 40950/2693748. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 40951/2693775. ------ 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. ------ 40952/2693802. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a)(a (a a)))) 5. ==[ beta ]==> (((^y.y) a)((^z.a)(a (a a)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.a)(a (a a)))) 7. ==[ beta ]==> (a ((^y.a)(a (a a)))) 8. ==[ alpha ]==> (a ((^x.a)(a (a a)))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 40953/2693829. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 40954/2693847. ------ 1. ==[ start ]==> (((^a.b) b)((a a)(^c.a))) 2. ==[ alpha ]==> (((^x.b) b)((a a)(^y.a))) 3. ==[ beta ]==> (b ((a a)(^y.a))) 4. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 40955/2693856. ------ 1. ==[ start ]==> (((a b)(a a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.x)((a a) a))) 3. ==[ beta ]==> (((a b)(a a))((a a) a)) REDUCED to normal form. ------ 40956/2693973. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(c (a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(c (a (a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(c (a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c (a (a a)))) 5. ==[ beta ]==> ((^y.y)(c (a (a a)))) 6. ==[ alpha ]==> ((^x.x)(c (a (a a)))) 7. ==[ beta ]==> (c (a (a a))) REDUCED to normal form. ------ 40957/2694054. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 40958/2694063. ------ 1. ==[ start ]==> (((a b) b)((^b.(^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. ------ 40959/2694108. ------ 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.x1) a))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^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)(a ((^y.y) a))) 8. ==[ alpha ]==> ((a a)(a ((^x.x) a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 40960/2694135. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((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. ------ 40961/2694198. ------ 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))(^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. ------ 40962/2694225. ------ 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.(^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. ------ 40963/2694252. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y) a)(^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. ------ 40964/2694270. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(c d)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(c d)) 3. ==[ beta ]==> (b (c d)) REDUCED to normal form. ------ 40965/2694279. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 40966/2694306. ------ 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)))) REDUCED to normal form. ------ 40967/2694342. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 40968/2694369. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a b))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 40969/2694396. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a ((a a) a))((^y.a)(^z.a))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.a)(^y.a))) 5. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 40970/2694423. ------ 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))(^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. ------ 40971/2694450. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 8. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 40972/2694495. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 40973/2694558. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(b (^y.(y y)))) REDUCED to normal form. ------ 40974/2694738. ------ 1. ==[ start ]==> (((a b) c)(((^a.a) a) b)) 2. ==[ alpha ]==> (((a b) c)(((^x.x) a) b)) 3. ==[ beta ]==> (((a b) c)(a b)) REDUCED to normal form. ------ 40975/2694765. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 40976/2694810. ------ 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)))) REDUCED to normal form. ------ 40977/2694837. ------ 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. ------ 40978/2694846. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.a) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 40979/2694873. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z)) c)) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 40980/2694891. ------ 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))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((a a) a)) REDUCED to normal form. ------ 40981/2694927. ------ 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)(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) a)(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 40982/2694954. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 40983/2694972. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(b c)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(b c)) 3. ==[ beta ]==> (b (b c)) REDUCED to normal form. ------ 40984/2694981. ------ 1. ==[ start ]==> (((a b)(^b.a))((a a)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a a)(^y.a))) REDUCED to normal form. ------ 40985/2695008. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 40986/2695035. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (^z.z)) b)) REDUCED to normal form. ------ 40987/2695071. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.a)) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.a)) REDUCED to normal form. ------ 40988/2695125. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(b (^a.(^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. ------ 40989/2695152. ------ 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. ------ 40990/2695179. ------ 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))(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 ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 40991/2695206. ------ 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)))) 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. ------ 40992/2695233. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(^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. ------ 40993/2695260. ------ 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.(^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. ------ 40994/2695287. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(b (^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(b (^y.y))) REDUCED to normal form. ------ 40995/2695314. ------ 1. ==[ start ]==> ((a (b a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 40996/2695404. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(a a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(a a)) 3. ==[ beta ]==> (((^y.b)(^y.b))(a a)) 4. ==[ alpha ]==> (((^x.b)(^y.b))(a a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 40997/2699331. ------ 1. ==[ start ]==> ((^a.(b a))(^b.b)) 2. ==[ alpha ]==> ((^x.(b x))(^y.y)) 3. ==[ eta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 40998/2699424. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b)) b) 2. ==[ alpha ]==> (((^x.(x x))(^y.b)) b) 3. ==[ beta ]==> (((^y.b)(^y.b)) b) 4. ==[ alpha ]==> (((^x.b)(^y.b)) b) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 40999/2699448. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 41000/2699541. ------ 1. ==[ start ]==> (((^a.a) b)(^a.(b a))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(b y))) 3. ==[ eta ]==> (((^x.x) b) b) 4. ==[ beta ]==> (b b) REDUCED to normal form. ------ 41001/2699934. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 41002/2700045. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))(^y.((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.((a a)(^z.z)))(^y.((a a)(^z.z)))) 6. ==[ alpha ]==> ((^x.((a a)(^y.y)))(^z.((a a)(^x1.x1)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 41003/2700258. ------ 1. ==[ start ]==> ((^a.(^b.(^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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 41004/2700972. ------ 1. ==[ start ]==> ((((a a) a) a)(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.((^y.y)(x x)))) 3. ==[ beta ]==> ((((a a) a) a)(^x.(x x))) REDUCED to normal form. ------ 41005/2701149. ------ 1. ==[ start ]==> ((^a.(^a.b))(b (^a.b))) 2. ==[ alpha ]==> ((^x.(^y.b))(b (^z.b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 41006/2701329. ------ 1. ==[ start ]==> ((^a.(a b))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.(x b))((a (^y.y))(^z.a))) 3. ==[ beta ]==> (((a (^y.y))(^z.a)) b) 4. ==[ alpha ]==> (((a (^x.x))(^y.a)) b) REDUCED to normal form. ------ 41007/2701557. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) 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. ------ 41008/2701716. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(b (^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(b (^z.a))) 3. ==[ beta ]==> (^y.((b (^z.a))(b (^z.a)))) 4. ==[ alpha ]==> (^x.((b (^y.a))(b (^z.a)))) REDUCED to normal form. ------ 41009/2701899. ------ 1. ==[ start ]==> (((a b)(a a))(^c.(^c.a))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(^y.a))) REDUCED to normal form. ------ 41010/2701923. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((a a) a) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((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. ------ 41011/2702637. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^a.(^b.(^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. ------ 41012/2702853. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 41013/2703195. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(^b.c)) 2. ==[ alpha ]==> (((a (a a))((a a) a))(^x.c)) REDUCED to normal form. ------ 41014/2703354. ------ 1. ==[ start ]==> ((^a.(b a))((^a.a) b)) 2. ==[ alpha ]==> ((^x.(b x))((^y.y) b)) 3. ==[ eta ]==> (b ((^y.y) b)) 4. ==[ alpha ]==> (b ((^x.x) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 41015/2703357. ------ 1. ==[ start ]==> ((a (b a))(^b.b)) 2. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 41016/2703447. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.x1))) 5. ==[ beta ]==> (b (^z.(^x1.x1))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 41017/2703477. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.b))) 3. ==[ beta ]==> ((a (^x.x))((^z.b)(^z.b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.b))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 41018/2703504. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((^y.a)(^z.(a a))) 6. ==[ alpha ]==> ((^x.a)(^y.(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 41019/2703540. ------ 1. ==[ start ]==> (((a a)(^a.a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 41020/2703567. ------ 1. ==[ start ]==> (((^a.a) b)(a (b a))) 2. ==[ alpha ]==> (((^x.x) b)(a (b a))) 3. ==[ beta ]==> (b (a (b a))) REDUCED to normal form. ------ 41021/2703594. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((a a)(^z.z))(a a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a a))) 5. ==[ beta ]==> (((a a)(^y.y))(a a)) 6. ==[ alpha ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 41022/2703621. ------ 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. ------ 41023/2703648. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a b)((^y.y) a))) 3. ==[ beta ]==> (((a (^x.x)) a)((a b) a)) REDUCED to normal form. ------ 41024/2703675. ------ 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. ------ 41025/2703702. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 8. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 41026/2703756. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z) a)(a b))) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 41027/2703801. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.a)(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)(b (^y.(^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 41028/2703882. ------ 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 a)) REDUCED to normal form. ------ 41029/2703909. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^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. ------ 41030/2703963. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 41031/2704008. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.b))) REDUCED to normal form. ------ 41032/2704035. ------ 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. ------ 41033/2704071. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^y.y)((a a)(^z.z)))) 6. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.z)((a a)(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^y.y))((^z.z)((a a)(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((a a)(^z.z)))) 9. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.z))) 10. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 41034/2704098. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.(^a.a))(^a.a))) 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. ------ 41035/2704152. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.b)(^b.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. ------ 41036/2704206. ------ 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.(^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. ------ 41037/2704260. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(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. ------ 41038/2704287. ------ 1. ==[ start ]==> ((a (^b.(^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)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 41039/2704359. ------ 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. ------ 41040/2704377. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a b)(a (^y.y)))) 3. ==[ beta ]==> ((b b)((a b)(a (^y.y)))) 4. ==[ alpha ]==> ((b b)((a b)(a (^x.x)))) REDUCED to normal form. ------ 41041/2704386. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.b) c)) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.b) c)) 3. ==[ beta ]==> (((a (a a))(a a)) b) REDUCED to normal form. ------ 41042/2704512. ------ 1. ==[ start ]==> (((a (a a)) b)((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a)) b)((a (^x.x))(a b))) REDUCED to normal form. ------ 41043/2704539. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a a)((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.y) a)((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((a a)((^y.y)(a a)))) 5. ==[ beta ]==> (a ((a a)((^y.y)(a a)))) 6. ==[ alpha ]==> (a ((a a)((^x.x)(a a)))) 7. ==[ beta ]==> (a ((a a)(a a))) REDUCED to normal form. ------ 41044/2704584. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(a a))(a a))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a a))) 5. ==[ beta ]==> ((^y.(a a))(a a)) 6. ==[ alpha ]==> ((^x.(a a))(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 41045/2704737. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 41046/2704764. ------ 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. ------ 41047/2704791. ------ 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. ------ 41048/2704818. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a b) b)) 3. ==[ beta ]==> (((^y.y)(a a))((a b) b)) 4. ==[ alpha ]==> (((^x.x)(a a))((a b) b)) 5. ==[ beta ]==> ((a a)((a b) b)) REDUCED to normal form. ------ 41049/2704881. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.(^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. ------ 41050/2704935. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.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. ------ 41051/2704971. ------ 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. ------ 41052/2704998. ------ 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. ------ 41053/2705052. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a)(a (^x1.x1)))) REDUCED to normal form. ------ 41054/2705079. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.(x x)))((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)((^z.z) a))) 7. ==[ beta ]==> ((a (^x.(x x)))((^z.z) a)) 8. ==[ alpha ]==> ((a (^x.(x x)))((^y.y) a)) 9. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 41055/2705106. ------ 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. ------ 41056/2705133. ------ 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)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) a)((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 41057/2705160. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 41058/2705178. ------ 1. ==[ start ]==> ((a (^a.b))(b (^a.b))) 2. ==[ alpha ]==> ((a (^x.b))(b (^y.b))) REDUCED to normal form. ------ 41059/2705223. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a b)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a b)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b)(^z.z))) REDUCED to normal form. ------ 41060/2705250. ------ 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. ------ 41061/2705277. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> (((a (a a)) a)((^y.y)(^z.a))) 6. ==[ alpha ]==> (((a (a a)) a)((^x.x)(^y.a))) 7. ==[ beta ]==> (((a (a a)) a)(^y.a)) 8. ==[ alpha ]==> (((a (a a)) a)(^x.a)) REDUCED to normal form. ------ 41062/2705304. ------ 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.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (a a))(^z.(z z)))) 5. ==[ beta ]==> ((a (^y.y))((a (a a))(^z.(z z)))) 6. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 41063/2705331. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 41064/2705358. ------ 1. ==[ start ]==> ((a (a b))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((a (a b))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 41065/2705367. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(^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. ------ 41066/2705529. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 41067/2705538. ------ 1. ==[ start ]==> (((a b) a)(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(c ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a b) a)(c (^y.y))) 4. ==[ alpha ]==> (((a b) a)(c (^x.x))) REDUCED to normal form. ------ 41068/2705556. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(^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. ------ 41069/2705565. ------ 1. ==[ start ]==> (((a a)(^a.b))(b ((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))(b ((a a) a))) REDUCED to normal form. ------ 41070/2705583. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.z)(^x1.b))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 41071/2705619. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a) a)(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a) a)(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)(a a))) REDUCED to normal form. ------ 41072/2705646. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> (((a (a a))(^x.(x x)))(a (^z.z))) 6. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 41073/2705673. ------ 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 REDUCED to normal form. ------ 41074/2705700. ------ 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. ------ 41075/2705718. ------ 1. ==[ start ]==> (((^a.b)(a a))(c (^b.(^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. ------ 41076/2705727. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.x))((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 41077/2705745. ------ 1. ==[ start ]==> ((a (^b.(a a)))(b (^c.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(b (^y.a))) REDUCED to normal form. ------ 41078/2705790. ------ 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. ------ 41079/2705817. ------ 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))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(^x1.x1)))) 9. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 10. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 41080/2705844. ------ 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. ------ 41081/2705871. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z) a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(^z.(z z)))) 7. ==[ beta ]==> (a (((^y.y) a)(^z.(z z)))) 8. ==[ alpha ]==> (a (((^x.x) a)(^y.(y y)))) 9. ==[ beta ]==> (a (a (^y.(y y)))) 10. ==[ alpha ]==> (a (a (^x.(x x)))) REDUCED to normal form. ------ 41082/2705898. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 41083/2705925. ------ 1. ==[ start ]==> (((a b)(a a))((a a)(^c.a))) 2. ==[ alpha ]==> (((a b)(a a))((a a)(^x.a))) REDUCED to normal form. ------ 41084/2705952. ------ 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. ------ 41085/2705961. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((^y.(a a))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.(a a))((^y.a)(^z.z))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 41086/2705988. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.(^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. ------ 41087/2706042. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.(z1 z1)))) 5. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.(z1 z1)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(z z)))) 7. ==[ beta ]==> ((^y.a)(^z.(z z))) 8. ==[ alpha ]==> ((^x.a)(^y.(y y))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 41088/2706132. ------ 1. ==[ start ]==> (((a b) b)(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a b) b)(((^x.x)(^y.y))(a a))) 3. ==[ beta ]==> (((a b) b)((^y.y)(a a))) 4. ==[ alpha ]==> (((a b) b)((^x.x)(a a))) 5. ==[ beta ]==> (((a b) b)(a a)) REDUCED to normal form. ------ 41089/2706159. ------ 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. ------ 41090/2706186. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a ((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(a ((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.(a a)))(a a)) REDUCED to normal form. ------ 41091/2706204. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(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. ------ 41092/2706213. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (^z.z))(a (a a)))) REDUCED to normal form. ------ 41093/2706339. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (^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. ------ 41094/2706348. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(c d)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c d)) REDUCED to normal form. ------ 41095/2706411. ------ 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)) a)) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z)) a)) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y)) a)) 5. ==[ beta ]==> (((a a)(a a))((^y.y) a)) 6. ==[ alpha ]==> (((a a)(a a))((^x.x) a)) 7. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 41096/2706438. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (a a)) b)) REDUCED to normal form. ------ 41097/2706546. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) 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. ------ 41098/2706564. ------ 1. ==[ start ]==> (((^a.b) c)((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.b) c)((a (a a))(a a))) 3. ==[ beta ]==> (b ((a (a a))(a a))) REDUCED to normal form. ------ 41099/2706573. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(y y)) b)) 3. ==[ beta ]==> (((a b)(a (^x.x)))(b b)) REDUCED to normal form. ------ 41100/2706600. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.a) c)) 3. ==[ beta ]==> (((a a)(a a))((^y.a) c)) 4. ==[ alpha ]==> (((a a)(a a))((^x.a) c)) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 41101/2706663. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(a (^b.(^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. ------ 41102/2706798. ------ 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))) 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. ------ 41103/2706807. ------ 1. ==[ start ]==> (((a b) c)(d (a a))) REDUCED to normal form. ------ 41104/2706834. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(c (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 41105/2706861. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(b ((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(b ((^y.y) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(b a)) REDUCED to normal form. ------ 41106/2706879. ------ 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)(^x.x))(^z.(z z))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 41107/2706915. ------ 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. ------ 41108/2706942. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.b))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 41109/2706960. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(b (^y.a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(b (^y.a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(b (^x.a))) REDUCED to normal form. ------ 41110/2707041. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (b ((^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. ------ 41111/2707050. ------ 1. ==[ start ]==> (((a b)(^b.a))(b c)) 2. ==[ alpha ]==> (((a b)(^x.a))(b c)) REDUCED to normal form. ------ 41112/2707167. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.a) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.a) a)) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.a) a)) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a) a)) 5. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 41113/2707194. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((a (a b))((^y.(^z.z)) b)) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.y)) b)) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 41114/2707248. ------ 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))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.x1))) 7. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.z))) 9. ==[ beta ]==> ((a (^y.y))(^z.z)) 10. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 41115/2707275. ------ 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. ------ 41116/2707302. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a (^y.y)) a)) 3. ==[ beta ]==> (((a b) a)((a (^y.y)) a)) 4. ==[ alpha ]==> (((a b) a)((a (^x.x)) a)) REDUCED to normal form. ------ 41117/2707329. ------ 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. ------ 41118/2707356. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 41119/2707383. ------ 1. ==[ start ]==> ((a (b a))((^a.a) b)) 2. ==[ alpha ]==> ((a (b a))((^x.x) b)) 3. ==[ beta ]==> ((a (b a)) b) REDUCED to normal form. ------ 41120/2707473. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(a (^z.z))) 3. ==[ beta ]==> (((^y.b)(^y.b))(a (^z.z))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(a (^z.z))) 5. ==[ beta ]==> (b (a (^z.z))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 41121/2711409. ------ 1. ==[ start ]==> ((^a.(b a))(^c.(a a))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(a a))) 3. ==[ eta ]==> (b (^y.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 41122/2711502. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b)) c) 2. ==[ alpha ]==> (((^x.(x x))(^y.b)) c) 3. ==[ beta ]==> (((^y.b)(^y.b)) c) 4. ==[ alpha ]==> (((^x.b)(^y.b)) c) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 41123/2711580. ------ 1. ==[ start ]==> ((^a.b)(c ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.b)(c ((^y.y)(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 41124/2711637. ------ 1. ==[ start ]==> (((a a)(a a))(^a.(b a))) 2. ==[ alpha ]==> (((a a)(a a))(^x.(b x))) 3. ==[ eta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 41125/2711661. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> ((((a a)(^z.z))(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 41126/2711850. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ eta ]==> ((^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. ------ 41127/2712021. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 41128/2712393. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 41129/2712471. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((a a) a)((^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. ------ 41130/2712627. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 41131/2713059. ------ 1. ==[ start ]==> ((((a a) a) a)(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.(a a)))) REDUCED to normal form. ------ 41132/2713824. ------ 1. ==[ start ]==> (((a a)(a b))(^c.((a a) a))) 2. ==[ alpha ]==> (((a a)(a b))(^x.((a a) a))) REDUCED to normal form. ------ 41133/2714328. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^a.(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 41134/2714607. ------ 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)))) 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)(^x.(^z.z))) 6. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.y))) REDUCED to normal form. ------ 41135/2714685. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a (^z.z))((^x1.x1) a))((a (^z.z))((^x1.x1) a)))(^y.y)) 4. ==[ alpha ]==> ((((a (^x.x))((^y.y) a))((a (^z.z))((^x1.x1) a)))(^y1.y1)) 5. ==[ beta ]==> ((((a (^x.x)) a)((a (^z.z))((^x1.x1) a)))(^y1.y1)) 6. ==[ alpha ]==> ((((a (^x.x)) a)((a (^y.y))((^z.z) a)))(^x1.x1)) 7. ==[ beta ]==> ((((a (^x.x)) a)((a (^y.y)) a))(^x1.x1)) 8. ==[ alpha ]==> ((((a (^x.x)) a)((a (^y.y)) a))(^z.z)) REDUCED to normal form. ------ 41136/2715057. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(x1 x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 41137/2715138. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 41138/2715228. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((a (^x.x))((^y.y)(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.z)) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 41139/2715363. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^a.c)) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.c)) 3. ==[ beta ]==> (((a b) a)(^y.c)) 4. ==[ alpha ]==> (((a b) a)(^x.c)) REDUCED to normal form. ------ 41140/2715417. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(y (^z.z)))) REDUCED to normal form. ------ 41141/2715441. ------ 1. ==[ start ]==> ((^a.(b a))((a a)(a a))) 2. ==[ alpha ]==> ((^x.(b x))((a a)(a a))) 3. ==[ eta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 41142/2715444. ------ 1. ==[ start ]==> ((a (b a))(^c.(a a))) 2. ==[ alpha ]==> ((a (b a))(^x.(a a))) REDUCED to normal form. ------ 41143/2715534. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^b.a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.a)) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.a)) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.a)) 5. ==[ beta ]==> (b (^z.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 41144/2715582. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(^z.b))) 3. ==[ beta ]==> (a ((^y.(y y))(^z.b))) 4. ==[ alpha ]==> (a ((^x.(x x))(^y.b))) 5. ==[ beta ]==> (a ((^y.b)(^y.b))) 6. ==[ alpha ]==> (a ((^x.b)(^y.b))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 41145/2715609. ------ 1. ==[ start ]==> (((a a) a)((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a) a)((^x.a)(^y.(a a)))) 3. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 41146/2715618. ------ 1. ==[ start ]==> ((a b)(c ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a b)(c ((^x.x)(a a)))) 3. ==[ beta ]==> ((a b)(c (a a))) REDUCED to normal form. ------ 41147/2715672. ------ 1. ==[ start ]==> (((a a)(a a))(a (b a))) REDUCED to normal form. ------ 41148/2715699. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 41149/2715735. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^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. ------ 41150/2715834. ------ 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. ------ 41151/2715861. ------ 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 (^x.x))(a a))(a (a b))) REDUCED to normal form. ------ 41152/2715888. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a a)((a (^y.y))((^z.z)(a a)))) 4. ==[ alpha ]==> ((a a)((a (^x.x))((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)((a (^x.x))(a a))) REDUCED to normal form. ------ 41153/2715978. ------ 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)))) 7. ==[ beta ]==> (a ((a a)(^y.(^z.z)))) 8. ==[ alpha ]==> (a ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 41154/2715987. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 41155/2716005. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a b)(^b.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. ------ 41156/2716014. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.b)((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 41157/2716059. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(x x)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 41158/2716149. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(^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. ------ 41159/2716194. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 41160/2716230. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 41161/2716248. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a b) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a b) c)) 3. ==[ beta ]==> (((^y.y)(^y.y))((a b) c)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a b) c)) 5. ==[ beta ]==> ((^y.y)((a b) c)) 6. ==[ alpha ]==> ((^x.x)((a b) c)) 7. ==[ beta ]==> ((a b) c) REDUCED to normal form. ------ 41162/2716257. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.b)(^y.a))) 3. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 41163/2716311. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))(^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. ------ 41164/2716365. ------ 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. ------ 41165/2716401. ------ 1. ==[ start ]==> (((a a)(a (a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(b ((^x.x)(a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))(b (a a))) REDUCED to normal form. ------ 41166/2716428. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(a ((a a)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) a)(a ((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(a ((a a)(^y.y)))) REDUCED to normal form. ------ 41167/2716455. ------ 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. ------ 41168/2716482. ------ 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. ------ 41169/2716509. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> ((a (^y.y))(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a)((^y.y) a))) 5. ==[ beta ]==> ((a (^x.x))(((a a) a) a)) REDUCED to normal form. ------ 41170/2716518. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.a) d)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a) d)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a) d)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a) d)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 41171/2716608. ------ 1. ==[ start ]==> (((a (a a)) b)(c (^a.b))) 2. ==[ alpha ]==> (((a (a a)) b)(c (^x.b))) REDUCED to normal form. ------ 41172/2716635. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(b (^b.(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)))) REDUCED to normal form. ------ 41173/2716662. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 41174/2716680. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z)(a a))(^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. ------ 41175/2716689. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(a a))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 41176/2716716. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.b)(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 41177/2716734. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((a a) a)(^z.a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((a a) a)(^z.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a) a)(^z.a))) REDUCED to normal form. ------ 41178/2716770. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(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. ------ 41179/2717067. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(^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. ------ 41180/2717094. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.x)(^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. ------ 41181/2717112. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(a a)) a)) 3. ==[ beta ]==> (((a a) a)((^y.(a a)) a)) 4. ==[ alpha ]==> (((a a) a)((^x.(a a)) a)) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 41182/2717139. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.b) b)) 3. ==[ beta ]==> ((^y.y)((^y1.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. ------ 41183/2717292. ------ 1. ==[ start ]==> (((a a)((a a) a))((a a)(a b))) REDUCED to normal form. ------ 41184/2717445. ------ 1. ==[ start ]==> (((^a.b) a)((^b.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. ------ 41185/2717463. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((^y.b)((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> ((^x.b)((a (^y.y))(^z.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 41186/2717544. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a) a) b)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((a a) a) b)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a) a) b)) IRREDUCIBLE: cycle. ------ 41187/2717607. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(x x))(^y.(y y)))) 3. ==[ beta ]==> ((((a a) a) b)((^y.(y y))(^y.(y y)))) 4. ==[ alpha ]==> ((((a a) a) b)((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 41188/2717634. ------ 1. ==[ start ]==> (((a b) a)((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 41189/2717661. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(^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. ------ 41190/2717823. ------ 1. ==[ start ]==> (((a b)(^a.a))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(c (^y.(^z.z)))) REDUCED to normal form. ------ 41191/2717859. ------ 1. ==[ start ]==> (((a a)(a b))((a a)((a a) a))) REDUCED to normal form. ------ 41192/2718012. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 41193/2718057. ------ 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 a) REDUCED to normal form. ------ 41194/2718084. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^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. ------ 41195/2718219. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 41196/2718309. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(c (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(c (^z.(z z)))) REDUCED to normal form. ------ 41197/2718363. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(a (^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 41198/2718390. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(a a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(a a))) 7. ==[ beta ]==> (((^y.(^z.z))(a a))((^y.(^z.z))(a a))) 8. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.x1))(a a))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a a))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 11. ==[ beta ]==> ((^y.(^z.z))(a a)) 12. ==[ alpha ]==> ((^x.(^y.y))(a a)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 41199/2718417. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 41200/2718435. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a (^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. ------ 41201/2718444. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 41202/2718471. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(^x1.x1))(a (a a)))) 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. ------ 41203/2718615. ------ 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. ------ 41204/2718642. ------ 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. ------ 41205/2718669. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (a a))(a a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (a a))(a a))) REDUCED to normal form. ------ 41206/2718696. ------ 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. ------ 41207/2718723. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((a (^y.y)) a)) REDUCED to normal form. ------ 41208/2718894. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 41209/2718903. ------ 1. ==[ start ]==> (((a b) c)((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a b) c)((^x.(x x))(^y.y))) 3. ==[ beta ]==> (((a b) c)((^y.y)(^y.y))) 4. ==[ alpha ]==> (((a b) c)((^x.x)(^y.y))) 5. ==[ beta ]==> (((a b) c)(^y.y)) 6. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 41210/2718930. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 41211/2718957. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(^a.a))(^b.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. ------ 41212/2719002. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^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. ------ 41213/2719038. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.b))(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))(c (^y.(^z.z)))) REDUCED to normal form. ------ 41214/2719092. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(a (^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(a (^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(z z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 41215/2719119. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.a)(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x))) a) REDUCED to normal form. ------ 41216/2719137. ------ 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 (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 41217/2719146. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 41218/2719173. ------ 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)((^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. ------ 41219/2719200. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 41220/2719236. ------ 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. ------ 41221/2719263. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(a ((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a ((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(a ((^y.y) a))) 5. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 41222/2719290. ------ 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))) REDUCED to normal form. ------ 41223/2719317. ------ 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. ------ 41224/2719371. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(b b)) REDUCED to normal form. ------ 41225/2719398. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(a c)) 2. ==[ alpha ]==> (((a b)((^x.x) a))(a c)) 3. ==[ beta ]==> (((a b) a)(a c)) REDUCED to normal form. ------ 41226/2719425. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(b (a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(b (a a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(b (a a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(b (a a))) REDUCED to normal form. ------ 41227/2719452. ------ 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. ------ 41228/2719479. ------ 1. ==[ start ]==> ((a (b a))((a a)(a a))) REDUCED to normal form. ------ 41229/2719569. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.z) a)) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.z) a)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.z) a)) 5. ==[ beta ]==> (b ((^z.z) a)) 6. ==[ alpha ]==> (b ((^x.x) a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 41230/2719595. ------ 1. ==[ start ]==> (^a.((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.x))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 41231/2719596. ------ 1. ==[ start ]==> (a ((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (a ((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 41232/2722083. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.((a a) a))) 3. ==[ beta ]==> ((^y.y)((^z.((a a) a))(^z.((a a) a)))) 4. ==[ alpha ]==> ((^x.x)((^y.((a a) a))(^z.((a a) a)))) 5. ==[ beta ]==> ((^y.((a a) a))(^z.((a a) a))) 6. ==[ alpha ]==> ((^x.((a a) a))(^y.((a a) a))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 41233/2723640. ------ 1. ==[ start ]==> ((^a.a)((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 41234/2723667. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(^z.b))) 3. ==[ beta ]==> (((^y.(y y))(^z.b))((^y.(y y))(^z.b))) 4. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(z z))(^x1.b))) 5. ==[ beta ]==> (((^y.b)(^y.b))((^z.(z z))(^x1.b))) 6. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(z z))(^x1.b))) 7. ==[ beta ]==> (b ((^z.(z z))(^x1.b))) 8. ==[ alpha ]==> (b ((^x.(x x))(^y.b))) 9. ==[ beta ]==> (b ((^y.b)(^y.b))) 10. ==[ alpha ]==> (b ((^x.b)(^y.b))) 11. ==[ beta ]==> (b b) REDUCED to normal form. ------ 41235/2723694. ------ 1. ==[ start ]==> ((^a.b)((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.a)(^z.(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 41236/2723730. ------ 1. ==[ start ]==> ((^a.(^a.(^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. ------ 41237/2723892. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z)(^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 ]==> (^x.((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (^x.((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 41238/2724234. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(^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. ------ 41239/2724459. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(c (a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(c (a b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 41240/2724507. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^b.(^c.(^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. ------ 41241/2724966. ------ 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. ------ 41242/2725017. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.b)(^a.(^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. ------ 41243/2725191. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (((a a) a)(^y.((^z.z)(y y)))) 4. ==[ alpha ]==> (((a a) a)(^x.((^y.y)(x x)))) 5. ==[ beta ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 41244/2725350. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (^z.z))((a a) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 41245/2725398. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 41246/2725530. ------ 1. ==[ start ]==> ((^a.(a b))((^b.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. ------ 41247/2725917. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.(((a (^z.z))((^x1.x1)(^y1.y1)))((a (^z.z))((^x1.x1)(^y1.y1))))) 4. ==[ alpha ]==> (^x.(((a (^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))((^z1.z1)(^x2.x2))))) 5. ==[ beta ]==> (^x.(((a (^y.y))(^x1.x1))((a (^y1.y1))((^z1.z1)(^x2.x2))))) 6. ==[ alpha ]==> (^x.(((a (^y.y))(^z.z))((a (^x1.x1))((^y1.y1)(^z1.z1))))) 7. ==[ beta ]==> (^x.(((a (^y.y))(^z.z))((a (^x1.x1))(^z1.z1)))) 8. ==[ alpha ]==> (^x.(((a (^y.y))(^z.z))((a (^x1.x1))(^y1.y1)))) REDUCED to normal form. ------ 41248/2725965. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(^z.b))) REDUCED to normal form. ------ 41249/2726124. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.z)((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)((a a) a))((^z.z)((a a) a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)((a a) a))((^z.z)((a a) a)))) 5. ==[ beta ]==> (((^y.y)((a a) a))((^z.z)((a a) a))) 6. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y)((a a) a))) 7. ==[ beta ]==> (((a a) a)((^y.y)((a a) a))) 8. ==[ alpha ]==> (((a a) a)((^x.x)((a a) a))) 9. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 41250/2726127. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.((a a) a))) 3. ==[ beta ]==> ((a (a a))(^y.((a a) a))) 4. ==[ alpha ]==> ((a (a a))(^x.((a a) a))) REDUCED to normal form. ------ 41251/2726298. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 41252/2726586. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))(^x.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 41253/2726721. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^b.(^b.(^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. ------ 41254/2726838. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^c.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a 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))) REDUCED to normal form. ------ 41255/2727081. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(^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. ------ 41256/2727342. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.a))) REDUCED to normal form. ------ 41257/2727423. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.y1))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(^z1.y1))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.x1))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.x1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.z))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.z))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 9. ==[ beta ]==> (^y.(^z.y)) 10. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 41258/2727477. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 41259/2727531. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 41260/2727555. ------ 1. ==[ start ]==> ((^a.(b a))(b (^a.a))) 2. ==[ alpha ]==> ((^x.(b x))(b (^y.y))) 3. ==[ eta ]==> (b (b (^y.y))) 4. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 41261/2727648. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(z z))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(z z))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(z z))) 5. ==[ beta ]==> (b (^z.(z z))) 6. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 41262/2727687. ------ 1. ==[ start ]==> ((a a)((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 41263/2727714. ------ 1. ==[ start ]==> ((a (a a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.b))) 3. ==[ beta ]==> ((a (a a))((^y.b)(^y.b))) 4. ==[ alpha ]==> ((a (a a))((^x.b)(^y.b))) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 41264/2727741. ------ 1. ==[ start ]==> ((a b)((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a b)((^x.a)(^y.(a a)))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 41265/2727777. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b ((a a)(^z.z)))) REDUCED to normal form. ------ 41266/2727831. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 41267/2727840. ------ 1. ==[ start ]==> (((a a) b)((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y)) b)) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 41268/2727858. ------ 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)(((^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. ------ 41269/2727867. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.(a a)) c)) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(a a)) c)) 3. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 41270/2727885. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a b)((^z.z) a))) 3. ==[ beta ]==> ((a (^y.y))((a b)((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.x))((a b)((^y.y) a))) 5. ==[ beta ]==> ((a (^x.x))((a b) a)) REDUCED to normal form. ------ 41271/2727912. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a (a a)))) 5. ==[ beta ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 41272/2727939. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.a))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.a))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a (^x.a))(^z.z)) 8. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 41273/2728020. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.a)((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.a)((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 41274/2728047. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)((a a)(^y1.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. ------ 41275/2728083. ------ 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. ------ 41276/2728110. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a)(a a))(^a.(^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. ------ 41277/2728137. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a b)(^x1.a))) REDUCED to normal form. ------ 41278/2728164. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> ((a (^y.y))(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 41279/2728200. ------ 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) 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. ------ 41280/2728227. ------ 1. ==[ start ]==> (((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) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 41281/2728254. ------ 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. ------ 41282/2728272. ------ 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)((a (^y.y))(^z.(a a)))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 41283/2728281. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 41284/2728353. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y)(a a)) b)) 3. ==[ beta ]==> ((a b)(((^y.y)(a a)) b)) 4. ==[ alpha ]==> ((a b)(((^x.x)(a a)) b)) 5. ==[ beta ]==> ((a b)((a a) b)) REDUCED to normal form. ------ 41285/2728380. ------ 1. ==[ start ]==> (((a (a a)) a)((a b) c)) REDUCED to normal form. ------ 41286/2728506. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(c (a b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(c (a b))) REDUCED to normal form. ------ 41287/2728524. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.(^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. ------ 41288/2728596. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.(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 a)) REDUCED to normal form. ------ 41289/2728641. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((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. ------ 41290/2728668. ------ 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)(^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. ------ 41291/2728722. ------ 1. ==[ start ]==> (((^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))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a)((a a) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)((a a) a))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) a)((a a) a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)((a a) a))) 7. ==[ beta ]==> (((^y.y) a)((a a) a)) 8. ==[ alpha ]==> (((^x.x) a)((a a) a)) 9. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 41292/2728776. ------ 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. ------ 41293/2728812. ------ 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 a))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a a)(^z.z))) REDUCED to normal form. ------ 41294/2728839. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a b)(^a.(^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. ------ 41295/2728866. ------ 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. ------ 41296/2728893. ------ 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))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 x1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z z))) 9. ==[ beta ]==> ((^y.y)(^z.(z z))) 10. ==[ alpha ]==> ((^x.x)(^y.(y y))) 11. ==[ beta ]==> (^y.(y y)) 12. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 41297/2728929. ------ 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)(^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. ------ 41298/2728956. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.a)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) a) REDUCED to normal form. ------ 41299/2728983. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.(^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. ------ 41300/2729010. ------ 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. ------ 41301/2729037. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a))(^z.z))) 5. ==[ beta ]==> ((a a)((^y.(a a))(^z.z))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(^y.y))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 41302/2729064. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 41303/2729235. ------ 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. ------ 41304/2729262. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((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. ------ 41305/2729271. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.b) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 41306/2729316. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((^x1.x1) a))) 8. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))((^z.z) a))) 9. ==[ beta ]==> ((a a)((^y.y)((^z.z) a))) 10. ==[ alpha ]==> ((a a)((^x.x)((^y.y) a))) 11. ==[ beta ]==> ((a a)((^y.y) a)) 12. ==[ alpha ]==> ((a a)((^x.x) a)) 13. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 41307/2729397. ------ 1. ==[ start ]==> ((a (^a.b))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.b))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 41308/2729415. ------ 1. ==[ start ]==> (((a a)((a a) a))(b (^a.b))) 2. ==[ alpha ]==> (((a a)((a a) a))(b (^x.b))) REDUCED to normal form. ------ 41309/2729442. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(a (^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(a (^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.(a a)))) REDUCED to normal form. ------ 41310/2729469. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.b)(a a))) 3. ==[ beta ]==> ((a (a (a a)))((^y.b)(a a))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.b)(a a))) 5. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 41311/2729523. ------ 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))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 41312/2729550. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(x x))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 41313/2729568. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a) a)(^b.(^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. ------ 41314/2729577. ------ 1. ==[ start ]==> ((a (a b))((^b.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. ------ 41315/2729775. ------ 1. ==[ start ]==> (((^a.a)(a b))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a b)(c ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a b)(c ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a b)(c (^y.y))) 6. ==[ alpha ]==> ((a b)(c (^x.x))) REDUCED to normal form. ------ 41316/2729802. ------ 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. ------ 41317/2729838. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 41318/2729856. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((a a) a)(a a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((a a) a)(a a))) REDUCED to normal form. ------ 41319/2729892. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.(^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. ------ 41320/2729937. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> (b (((^y.y) a)(a (a a)))) 4. ==[ alpha ]==> (b (((^x.x) a)(a (a a)))) 5. ==[ beta ]==> (b (a (a (a a)))) REDUCED to normal form. ------ 41321/2729964. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(a a)))((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 41322/2729982. ------ 1. ==[ start ]==> (((a a)(a b))(b (^c.a))) 2. ==[ alpha ]==> (((a a)(a b))(b (^x.a))) REDUCED to normal form. ------ 41323/2730009. ------ 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. ------ 41324/2730063. ------ 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. ------ 41325/2730090. ------ 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 x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(x1 x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(z z))((^x1.x1) a))) 5. ==[ beta ]==> (((^y.y) a)((^z.(z z))((^x1.x1) a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(y y))((^z.z) a))) 7. ==[ beta ]==> (a ((^y.(y y))((^z.z) a))) 8. ==[ alpha ]==> (a ((^x.(x x))((^y.y) a))) 9. ==[ beta ]==> (a (((^y.y) a)((^y.y) a))) 10. ==[ alpha ]==> (a (((^x.x) a)((^y.y) a))) 11. ==[ beta ]==> (a (a ((^y.y) a))) 12. ==[ alpha ]==> (a (a ((^x.x) a))) 13. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 41326/2730117. ------ 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. ------ 41327/2730135. ------ 1. ==[ start ]==> (((^a.b) b)((a (^a.a))(^b.(^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. ------ 41328/2730144. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 41329/2730171. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(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))) 5. ==[ beta ]==> ((a (a a))((a a) a)) REDUCED to normal form. ------ 41330/2730342. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 41331/2730351. ------ 1. ==[ start ]==> (((a b) b)((^c.a) a)) 2. ==[ alpha ]==> (((a b) b)((^x.a) a)) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 41332/2730378. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.(^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)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 41333/2730396. ------ 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. ------ 41334/2730405. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(a a)) c)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(y y)) c)) 3. ==[ beta ]==> (((a a)(^x.(a a)))(c c)) REDUCED to normal form. ------ 41335/2730423. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^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. ------ 41336/2730477. ------ 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))) 13. ==[ beta ]==> ((a a)(^y.y)) 14. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 41337/2730513. ------ 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)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z)(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))(^x1.x1))) 7. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.x1))(((^y.y)(^z.z))(^x1.x1))) 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. ------ 41338/2730540. ------ 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. ------ 41339/2730567. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 41340/2730594. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 41341/2730630. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)((^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. ------ 41342/2730657. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.(^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. ------ 41343/2730684. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> ((a ((a a) a))((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a ((a a) a))(^y.y)) 8. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 41344/2730711. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.a)(^b.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. ------ 41345/2730738. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(z z)))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 41346/2730765. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a) a) a)(^y.(^z.z))) 6. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.y))) REDUCED to normal form. ------ 41347/2730783. ------ 1. ==[ start ]==> (((^a.b) c)((^b.(^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. ------ 41348/2730882. ------ 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)))) 4. ==[ alpha ]==> ((^x.x)((a a)(a (a a)))) 5. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 41349/2731026. ------ 1. ==[ start ]==> (((a b) c)((a (a a)) a)) REDUCED to normal form. ------ 41350/2731053. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 41351/2731098. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(b ((^z.z) a))) 3. ==[ beta ]==> (((a a)(^y.y))(b ((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.x))(b ((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.x))(b a)) REDUCED to normal form. ------ 41352/2731125. ------ 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)))) 4. ==[ alpha ]==> ((^x.x)(a (a (a a)))) 5. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 41353/2731134. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(z z)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a a)) REDUCED to normal form. ------ 41354/2731161. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.a) b)) 3. ==[ beta ]==> ((a (^y.b))((^z.a) b)) 4. ==[ alpha ]==> ((a (^x.b))((^y.a) b)) 5. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 41355/2731179. ------ 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 (^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a (^y.y))(a (^z.z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 41356/2731242. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a (^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 41357/2731260. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(c b)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(c b)) 3. ==[ beta ]==> (b (c b)) REDUCED to normal form. ------ 41358/2731269. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 41359/2731296. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 41360/2731323. ------ 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)(^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 41361/2731359. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(^z.z))(^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. ------ 41362/2731386. ------ 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 (^x.x))(a a))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.a)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.a)) REDUCED to normal form. ------ 41363/2731413. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(c (^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(c (^y.y))) 3. ==[ beta ]==> ((a (a b))(c (^y.y))) 4. ==[ alpha ]==> ((a (a b))(c (^x.x))) REDUCED to normal form. ------ 41364/2731440. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 41365/2731467. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(a (^y1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(a (^y1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a (^x1.a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a (^x1.a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.a))) 7. ==[ beta ]==> ((^y.y)(a (^z.a))) 8. ==[ alpha ]==> ((^x.x)(a (^y.a))) 9. ==[ beta ]==> (a (^y.a)) 10. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 41366/2731494. ------ 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))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 41367/2731521. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 41368/2731548. ------ 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)))(^z.z)) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 41369/2731575. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.y)(^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. ------ 41370/2731602. ------ 1. ==[ start ]==> ((a (b a))(b (^a.a))) 2. ==[ alpha ]==> ((a (b a))(b (^x.x))) REDUCED to normal form. ------ 41371/2731692. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(a (a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(a (a a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(a (a a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(a (a a))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 41372/2735790. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 41373/2735910. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^a.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.(b z))) 3. ==[ eta ]==> (((^x.(^y.y)) a) b) 4. ==[ beta ]==> ((^y.y) b) 5. ==[ alpha ]==> ((^x.x) b) 6. ==[ beta ]==> b REDUCED to normal form. ------ 41374/2736153. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 41375/2736375. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a (^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a (^y.y))(^z.(a a)))(((a (^y.y))(^z.(a a)))((a (^y.y))(^z.(a a))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((a (^z.z))(^x1.(a a)))((a (^y1.y1))(^z1.(a a))))) REDUCED to normal form. ------ 41376/2736414. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 41377/2736600. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.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. ------ 41378/2736726. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.b) c)) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 41379/2736882. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 41380/2737158. ------ 1. ==[ start ]==> ((^a.((a a) a))((a b) b)) 2. ==[ alpha ]==> ((^x.((x x) x))((a b) b)) 3. ==[ beta ]==> ((((a b) b)((a b) b))((a b) b)) REDUCED to normal form. ------ 41381/2737332. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^b.(^b.(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. ------ 41382/2737491. ------ 1. ==[ start ]==> ((^a.(^a.b))(c (^c.a))) 2. ==[ alpha ]==> ((^x.(^y.b))(c (^z.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 41383/2737671. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a) a)(^b.(^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. ------ 41384/2737935. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 41385/2738058. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(c (^b.(^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. ------ 41386/2738277. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.((a a) a))) 3. ==[ beta ]==> ((^y.(a a))(^z.((a a) a))) 4. ==[ alpha ]==> ((^x.(a a))(^y.((a a) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 41387/2738439. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 41388/2738448. ------ 1. ==[ start ]==> (((a b) b)(^a.((a a) a))) 2. ==[ alpha ]==> (((a b) b)(^x.((x x) x))) REDUCED to normal form. ------ 41389/2738583. ------ 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)))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 41390/2738880. ------ 1. ==[ start ]==> (((^a.b) c)(^a.((^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 (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 41391/2738940. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.a) c)) 3. ==[ beta ]==> ((((^z.a) c)((^z.a) c))(^y.y)) 4. ==[ alpha ]==> ((((^x.a) c)((^y.a) c))(^z.z)) 5. ==[ beta ]==> ((a ((^y.a) c))(^z.z)) 6. ==[ alpha ]==> ((a ((^x.a) c))(^y.y)) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 41392/2739114. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 41393/2739222. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(^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. ------ 41394/2739231. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(z (z z)))) REDUCED to normal form. ------ 41395/2739312. ------ 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. ------ 41396/2739564. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(^b.c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.c)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.c)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.c)) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.c)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.c)) 7. ==[ beta ]==> ((^y.y)(^z.c)) 8. ==[ alpha ]==> ((^x.x)(^y.c)) 9. ==[ beta ]==> (^y.c) 10. ==[ alpha ]==> (^x.c) REDUCED to normal form. ------ 41397/2739618. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^c.(^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. ------ 41398/2739696. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(^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. ------ 41399/2739789. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.x1))) 5. ==[ beta ]==> (b (^z.(^x1.x1))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 41400/2739846. ------ 1. ==[ start ]==> ((a (^a.a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 41401/2739873. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.b))) 5. ==[ beta ]==> ((^y.(y y))(^z.b)) 6. ==[ alpha ]==> ((^x.(x x))(^y.b)) 7. ==[ beta ]==> ((^y.b)(^y.b)) 8. ==[ alpha ]==> ((^x.b)(^y.b)) 9. ==[ beta ]==> b REDUCED to normal form. ------ 41402/2739900. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.(a a)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 41403/2739936. ------ 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. ------ 41404/2739963. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(a (b a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(a (b a))) 3. ==[ beta ]==> ((^y.y)(a (b a))) 4. ==[ alpha ]==> ((^x.x)(a (b a))) 5. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 41405/2739990. ------ 1. ==[ start ]==> (((a a) b)(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a a) b)(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 41406/2740017. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a a)(a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a a)(a (^y.y)))) REDUCED to normal form. ------ 41407/2740044. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a b) a)) REDUCED to normal form. ------ 41408/2740071. ------ 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)))) REDUCED to normal form. ------ 41409/2740125. ------ 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) a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((a a) a))) 5. ==[ beta ]==> ((a (a a))((a a) a)) REDUCED to normal form. ------ 41410/2740170. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(c (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(c (^z.(a a)))) 3. ==[ beta ]==> ((^y.a)(c (^z.(a a)))) 4. ==[ alpha ]==> ((^x.a)(c (^y.(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 41411/2740197. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 41412/2740206. ------ 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. ------ 41413/2740278. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(a a))(a (^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. ------ 41414/2740350. ------ 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) 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. ------ 41415/2740404. ------ 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. ------ 41416/2740431. ------ 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. ------ 41417/2740440. ------ 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.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. ------ 41418/2740467. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 41419/2740521. ------ 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 ]==> (((^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. ------ 41420/2740548. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.b)(^b.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. ------ 41421/2740656. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 41422/2740746. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y)(a a))(a a))) 3. ==[ beta ]==> ((b b)(((^y.y)(a a))(a a))) 4. ==[ alpha ]==> ((b b)(((^x.x)(a a))(a a))) 5. ==[ beta ]==> ((b b)((a a)(a a))) REDUCED to normal form. ------ 41423/2740755. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(a a)) b)) 3. ==[ beta ]==> (((a (a a))(a a))(a a)) REDUCED to normal form. ------ 41424/2740782. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.b) c)) 3. ==[ beta ]==> ((a (^y.y))((^z.b) c)) 4. ==[ alpha ]==> ((a (^x.x))((^y.b) c)) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 41425/2740881. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x) a)((a a) a))) 3. ==[ beta ]==> (((a (a a)) b)(a ((a a) a))) REDUCED to normal form. ------ 41426/2740908. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a (^z.z))(a b))) 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))) REDUCED to normal form. ------ 41427/2740926. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b (^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(b (^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.(a a)))) 5. ==[ beta ]==> ((^y.y)(b (^z.(a a)))) 6. ==[ alpha ]==> ((^x.x)(b (^y.(a a)))) 7. ==[ beta ]==> (b (^y.(a a))) 8. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 41428/2740935. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 41429/2741007. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.b)(a (^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 41430/2741079. ------ 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)(^y.y))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 41431/2741133. ------ 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))) REDUCED to normal form. ------ 41432/2741160. ------ 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. ------ 41433/2741187. ------ 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)) 7. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 41434/2741214. ------ 1. ==[ start ]==> ((a ((a a) a))((a b) b)) REDUCED to normal form. ------ 41435/2741250. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^c.a)(^b.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. ------ 41436/2741304. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(a a))(^b.(^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. ------ 41437/2741340. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(c ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(c ((a a) a))) 3. ==[ beta ]==> (((^y.y) b)(c ((a a) a))) 4. ==[ alpha ]==> (((^x.x) b)(c ((a a) a))) 5. ==[ beta ]==> (b (c ((a a) a))) REDUCED to normal form. ------ 41438/2741367. ------ 1. ==[ start ]==> ((((a a) a) a)(b (a b))) REDUCED to normal form. ------ 41439/2741385. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^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. ------ 41440/2741421. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a b)(a a))) REDUCED to normal form. ------ 41441/2741448. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((a a) a)(a (^z.z)))) 3. ==[ beta ]==> ((a (^y.(y y)))(((a a) a)(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 41442/2741475. ------ 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))((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(^x.a))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)((^z.z) a))) 5. ==[ beta ]==> (((a (a a))(^x.a))((^z.z) a)) 6. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y) a)) 7. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 41443/2741502. ------ 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. ------ 41444/2741529. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(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. ------ 41445/2741547. ------ 1. ==[ start ]==> ((a (^a.b))(c (^c.a))) 2. ==[ alpha ]==> ((a (^x.b))(c (^y.a))) REDUCED to normal form. ------ 41446/2741619. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((a b)(^y.y))) 3. ==[ beta ]==> ((a (a (a a)))((a b)(^y.y))) 4. ==[ alpha ]==> ((a (a (a a)))((a b)(^x.x))) REDUCED to normal form. ------ 41447/2741646. ------ 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. ------ 41448/2741673. ------ 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)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.a))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.a))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.a))) 9. ==[ beta ]==> ((a (^x.x))(^z.a)) 10. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 41449/2741700. ------ 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. ------ 41450/2741727. ------ 1. ==[ start ]==> ((a (a b))(((^a.a) a)(^b.(^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. ------ 41451/2741736. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.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. ------ 41452/2741817. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.b)(^x1.x1))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.b)(^x1.x1))) IRREDUCIBLE: cycle. ------ 41453/2741898. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> (b ((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> (b ((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 41454/2741925. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.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. ------ 41455/2741934. ------ 1. ==[ start ]==> (((a a)(^a.b))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.b))(c (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.b))(c (^y.y))) REDUCED to normal form. ------ 41456/2741988. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 41457/2742015. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((a a) a)(a a))) REDUCED to normal form. ------ 41458/2742042. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 41459/2742069. ------ 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. ------ 41460/2742096. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.x))(a (a (a a)))) REDUCED to normal form. ------ 41461/2742114. ------ 1. ==[ start ]==> ((a (^b.(a a)))(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(c (^y.(^z.z)))) REDUCED to normal form. ------ 41462/2742186. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((a a) a)(^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 (^y.y))(((a a) a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.y))) REDUCED to normal form. ------ 41463/2742213. ------ 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. ------ 41464/2742240. ------ 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. ------ 41465/2742267. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a (^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(a (^y.(y y)))) REDUCED to normal form. ------ 41466/2742294. ------ 1. ==[ start ]==> (((a b)(a a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 41467/2742330. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(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))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 41468/2742357. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 41469/2742411. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.a))) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.a))) 7. ==[ beta ]==> ((^y.(y y))(^z.a)) 8. ==[ alpha ]==> ((^x.(x x))(^y.a)) 9. ==[ beta ]==> ((^y.a)(^y.a)) 10. ==[ alpha ]==> ((^x.a)(^y.a)) 11. ==[ beta ]==> a REDUCED to normal form. ------ 41470/2742492. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 41471/2742501. ------ 1. ==[ start ]==> (((a b) b)(a ((a a) a))) REDUCED to normal form. ------ 41472/2742528. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^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. ------ 41473/2742555. ------ 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. ------ 41474/2742582. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a ((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(a ((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.b))(a a)) REDUCED to normal form. ------ 41475/2742627. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(b (^b.(^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. ------ 41476/2742636. ------ 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)))) 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. ------ 41477/2742708. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^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. ------ 41478/2742780. ------ 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)))) 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. ------ 41479/2742807. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> (((a (^x.x))(a b))((^z.z) a)) 4. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y) a)) 5. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 41480/2742834. ------ 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. ------ 41481/2742933. ------ 1. ==[ start ]==> (((^a.b) c)(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(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. ------ 41482/2742942. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.(^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. ------ 41483/2742969. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(y y)) b)) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y)) b)) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x)) b)) 5. ==[ beta ]==> (((a a)(a a))(b b)) REDUCED to normal form. ------ 41484/2742996. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.a) c)) 3. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 41485/2743032. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(b (^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(b (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(y y)))) 5. ==[ beta ]==> (b (^y.(y y))) 6. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 41486/2743167. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 41487/2743248. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.(^a.a))(^b.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. ------ 41488/2743275. ------ 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)((^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. ------ 41489/2743284. ------ 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. ------ 41490/2743311. ------ 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. ------ 41491/2743365. ------ 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. ------ 41492/2743410. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 41493/2743419. ------ 1. ==[ start ]==> (((a b)(^b.a))(c b)) 2. ==[ alpha ]==> (((a b)(^x.a))(c b)) REDUCED to normal form. ------ 41494/2743446. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 41495/2743509. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a (^y.y)) b)) REDUCED to normal form. ------ 41496/2743563. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 41497/2743590. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(^y.y)) b)) 3. ==[ beta ]==> (((a (a a))((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.x)) REDUCED to normal form. ------ 41498/2743644. ------ 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))) REDUCED to normal form. ------ 41499/2743671. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) a)((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b) a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 41500/2743698. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a (^z.z)) a)) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a (^z.z)) a)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.y)) a)) REDUCED to normal form. ------ 41501/2743725. ------ 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. ------ 41502/2743752. ------ 1. ==[ start ]==> ((a (b a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.y)) a)) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 41503/2743842. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (b ((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 41504/2744025. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^a.(b a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.(b z))) 3. ==[ eta ]==> ((^x.(x (^y.y))) b) 4. ==[ beta ]==> (b (^y.y)) 5. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 41505/2747805. ------ 1. ==[ start ]==> ((^a.(b a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(y (^z.z)))) 3. ==[ eta ]==> (b (^y.(y (^z.z)))) 4. ==[ alpha ]==> (b (^x.(x (^y.y)))) REDUCED to normal form. ------ 41506/2748084. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(a (b a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(a (b a))) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 41507/2748087. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^a.(b a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.(b y))) 3. ==[ eta ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 41508/2748273. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z) a)(a b))) 3. ==[ eta ]==> ((^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. ------ 41509/2748444. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 41510/2748582. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 41511/2748843. ------ 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. ------ 41512/2748894. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a b)(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. ------ 41513/2750103. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 41514/2750445. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^c.(^c.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. ------ 41515/2750616. ------ 1. ==[ start ]==> (((a b) b)(^b.(^c.a))) 2. ==[ alpha ]==> (((a b) b)(^x.(^y.a))) REDUCED to normal form. ------ 41516/2751048. ------ 1. ==[ start ]==> (((^a.b) c)(^b.(^b.(^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. ------ 41517/2751057. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 41518/2751108. ------ 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. ------ 41519/2751282. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 41520/2751291. ------ 1. ==[ start ]==> (((a b) c)(^b.(a (a a)))) 2. ==[ alpha ]==> (((a b) c)(^x.(a (a a)))) REDUCED to normal form. ------ 41521/2751399. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 41522/2751507. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 41523/2751588. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^z.a)) REDUCED to normal form. ------ 41524/2751678. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.((^z.z) y))) 3. ==[ eta ]==> ((((^x.x) a)(a b))(^z.z)) 4. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.y)) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 41525/2751864. ------ 1. ==[ start ]==> ((^a.(b a))(a (a (^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(a (a (^y.y)))) 3. ==[ eta ]==> (b (a (a (^y.y)))) 4. ==[ alpha ]==> (b (a (a (^x.x)))) REDUCED to normal form. ------ 41526/2751867. ------ 1. ==[ start ]==> ((a (b a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((a (b a))(^x.(x (^y.y)))) REDUCED to normal form. ------ 41527/2751957. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^c.a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.a)) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.a)) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.a)) 5. ==[ beta ]==> (b (^z.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 41528/2752032. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(^a.a))(^c.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))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 41529/2752059. ------ 1. ==[ start ]==> (((a a) a)((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.b))) 3. ==[ beta ]==> (((a a) a)((^y.b)(^y.b))) 4. ==[ alpha ]==> (((a a) a)((^x.b)(^y.b))) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 41530/2752086. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 41531/2752113. ------ 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)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 41532/2752122. ------ 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. ------ 41533/2752149. ------ 1. ==[ start ]==> ((a (a (^a.a)))(a (b a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(a (b a))) REDUCED to normal form. ------ 41534/2752212. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(a a)) c)) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a)) c)) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a)) c)) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 41535/2752284. ------ 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. ------ 41536/2752311. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (a a))((a a) a))) REDUCED to normal form. ------ 41537/2752338. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)(a b))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(a b))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(a b))) 5. ==[ beta ]==> ((a a)(a (a b))) REDUCED to normal form. ------ 41538/2752383. ------ 1. ==[ start ]==> (((a (^a.a)) b)(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(b (^y.(^z.z)))) REDUCED to normal form. ------ 41539/2752428. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.y) a)(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) a)(((a a)(^y.y))(^z.z))) 5. ==[ beta ]==> (a (((a a)(^y.y))(^z.z))) 6. ==[ alpha ]==> (a (((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 41540/2752437. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 41541/2752455. ------ 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)(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. ------ 41542/2752464. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(a a))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 41543/2752491. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 41544/2752509. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 41545/2752599. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.a)(a b))) 3. ==[ beta ]==> ((a a)((^y.a)(a b))) 4. ==[ alpha ]==> ((a a)((^x.a)(a b))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 41546/2752617. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.(y y))((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(^z.(a a)))) 5. ==[ beta ]==> (((a (^y.y))(^z.(a a)))((a (^y.y))(^z.(a a)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (^z.z))(^x1.(a a)))) REDUCED to normal form. ------ 41547/2752644. ------ 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 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. ------ 41548/2752680. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.(^a.a))(^a.a))) 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. ------ 41549/2752698. ------ 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 ]==> (((^y.y)(^y.y))(((^z.z)(a a)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a)) b)) 5. ==[ beta ]==> ((^y.y)(((^z.z)(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. ------ 41550/2752707. ------ 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 a)) REDUCED to normal form. ------ 41551/2752725. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((a b) c)) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((a b) c)) 3. ==[ beta ]==> ((a (a a))((a b) c)) REDUCED to normal form. ------ 41552/2752734. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 41553/2752761. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 41554/2752788. ------ 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.(^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. ------ 41555/2752878. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(b ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(b ((^y.y)(a a)))) 5. ==[ beta ]==> (((a (^x.x)) a)(b (a a))) REDUCED to normal form. ------ 41556/2752905. ------ 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. ------ 41557/2752932. ------ 1. ==[ start ]==> (((a (a a))(a a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a (a a))(a a))(((^x.x)(a a))(a a))) 3. ==[ beta ]==> (((a (a a))(a a))((a a)(a a))) REDUCED to normal form. ------ 41558/2752959. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a b)(a (^z.z)))) 3. ==[ beta ]==> ((a (^y.y))((a b)(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))((a b)(a (^y.y)))) REDUCED to normal form. ------ 41559/2752968. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 41560/2753112. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.(a a)))) REDUCED to normal form. ------ 41561/2753166. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.(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 a)) REDUCED to normal form. ------ 41562/2753184. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a b)(^a.(^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. ------ 41563/2753193. ------ 1. ==[ start ]==> (((a (a a))(^a.(^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. ------ 41564/2753427. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((a a) a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((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. ------ 41565/2753517. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.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. ------ 41566/2753544. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(^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. ------ 41567/2753589. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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 a) REDUCED to normal form. ------ 41568/2753742. ------ 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. ------ 41569/2753769. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a a)(a b))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a a)(a b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(a b))) REDUCED to normal form. ------ 41570/2753895. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 41571/2753913. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a) a)(^b.(^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. ------ 41572/2753994. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a b) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a b) a)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a b) a)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a b) a)) IRREDUCIBLE: cycle. ------ 41573/2754057. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.(^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. ------ 41574/2754084. ------ 1. ==[ start ]==> (((a b) a)((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b) a)((^x.(x x))(^y.(y y)))) 3. ==[ beta ]==> (((a b) a)((^y.(y y))(^y.(y y)))) 4. ==[ alpha ]==> (((a b) a)((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 41575/2754111. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.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. ------ 41576/2754165. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 41577/2754183. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.b) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.b) a)) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.b) a)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.b) a)) 5. ==[ beta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 41578/2754309. ------ 1. ==[ start ]==> (((a a)(a b))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((a (^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a b))((a (^x.x))(^z.z))) 4. ==[ alpha ]==> (((a a)(a b))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 41579/2754336. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a a)((a a) a))) REDUCED to normal form. ------ 41580/2754462. ------ 1. ==[ start ]==> (((^a.b) b)((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.a)(a (a a)))) 3. ==[ beta ]==> (b ((^y.a)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.a)(a (a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 41581/2754507. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a a)(^z.a))) 3. ==[ beta ]==> ((^y.(a a))((a a)(^z.a))) 4. ==[ alpha ]==> ((^x.(a a))((a a)(^y.a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 41582/2754534. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 41583/2754588. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (a a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (a a)) c)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (a a)) c)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a)) c)) 5. ==[ beta ]==> ((^y.y)((a (a a)) c)) 6. ==[ alpha ]==> ((^x.x)((a (a a)) c)) 7. ==[ beta ]==> ((a (a a)) c) REDUCED to normal form. ------ 41584/2754678. ------ 1. ==[ start ]==> (((a b) b)((^a.a)(^c.a))) 2. ==[ alpha ]==> (((a b) b)((^x.x)(^y.a))) 3. ==[ beta ]==> (((a b) b)(^y.a)) 4. ==[ alpha ]==> (((a b) b)(^x.a)) REDUCED to normal form. ------ 41585/2754723. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.(^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)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 41586/2754750. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 41587/2754813. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 41588/2754867. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.(^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. ------ 41589/2754885. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (a a))(^a.(^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. ------ 41590/2754894. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 41591/2754921. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 41592/2755092. ------ 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. ------ 41593/2755110. ------ 1. ==[ start ]==> (((^a.b) c)((^a.a)(^b.(^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. ------ 41594/2755119. ------ 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 (^x.x)))(a (^z.z))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 41595/2755146. ------ 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. ------ 41596/2755173. ------ 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. ------ 41597/2755344. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 41598/2755353. ------ 1. ==[ start ]==> (((a b) c)((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a b) c)((^x.x)(a (a a)))) 3. ==[ beta ]==> (((a b) c)(a (a a))) REDUCED to normal form. ------ 41599/2755380. ------ 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))) 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. ------ 41600/2755407. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 41601/2755461. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.(x1 x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(z z))) REDUCED to normal form. ------ 41602/2755506. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.a) b)) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.a) b)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.a) b)) 5. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 41603/2755542. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(b (^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(b (^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(b (^x1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))(b (^z.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 41604/2755569. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(a (^y.(y y)))) REDUCED to normal form. ------ 41605/2755587. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 41606/2755596. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 41607/2755623. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))(a (^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. ------ 41608/2755650. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((^x1.x1) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z) a)) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 41609/2755713. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(b (a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(b (a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(b (a (^y.y)))) REDUCED to normal form. ------ 41610/2755740. ------ 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. ------ 41611/2755767. ------ 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))) REDUCED to normal form. ------ 41612/2755794. ------ 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. ------ 41613/2755848. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(b b)) 2. ==[ alpha ]==> (((a b)((^x.x) a))(b b)) 3. ==[ beta ]==> (((a b) a)(b b)) REDUCED to normal form. ------ 41614/2755902. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(b (a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(b (a a))) REDUCED to normal form. ------ 41615/2755929. ------ 1. ==[ start ]==> ((a (b a))(a (a (^a.a)))) 2. ==[ alpha ]==> ((a (b a))(a (a (^x.x)))) REDUCED to normal form. ------ 41616/2756019. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a a) a)) 3. ==[ beta ]==> (((^y.b)(^y.b))((a a) a)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a a) a)) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 41617/2759991. ------ 1. ==[ start ]==> ((^a.(b a))(^b.(^a.(^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. ------ 41618/2760171. ------ 1. ==[ start ]==> ((^a.(a a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.a))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.a))) 5. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.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. ------ 41619/2760198. ------ 1. ==[ start ]==> ((^a.b)((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.b)((^y.(y y))(^z.b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 41620/2760291. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(b x1))) 3. ==[ eta ]==> (((^x.x)(^y.(^z.z))) b) 4. ==[ beta ]==> ((^y.(^z.z)) b) 5. ==[ alpha ]==> ((^x.(^y.y)) b) 6. ==[ beta ]==> (^y.y) 7. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 41621/2760396. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (^y.(((a a) a)(a (a a)))) 4. ==[ alpha ]==> (^x.(((a a) a)(a (a a)))) REDUCED to normal form. ------ 41622/2760738. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.a)(a b))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.a)(a b))) 3. ==[ beta ]==> (((^y.a)(a b))(((^y.a)(a b))((^y.a)(a b)))) 4. ==[ alpha ]==> (((^x.a)(a b))(((^y.a)(a b))((^z.a)(a b)))) 5. ==[ beta ]==> (a (((^y.a)(a b))((^z.a)(a b)))) 6. ==[ alpha ]==> (a (((^x.a)(a b))((^y.a)(a b)))) 7. ==[ beta ]==> (a (a ((^y.a)(a b)))) 8. ==[ alpha ]==> (a (a ((^x.a)(a b)))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 41623/2761038. ------ 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. ------ 41624/2761497. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^b.((^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)))) 7. ==[ beta ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 41625/2761521. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((((^y.(a a))(^z.z))((^y.(a a))(^z.z)))((^y.(a a))(^z.z))) 4. ==[ alpha ]==> ((((^x.(a a))(^y.y))((^z.(a a))(^x1.x1)))((^y1.(a a))(^z1.z1))) 5. ==[ beta ]==> (((a a)((^z.(a a))(^x1.x1)))((^y1.(a a))(^z1.z1))) 6. ==[ alpha ]==> (((a a)((^x.(a a))(^y.y)))((^z.(a a))(^x1.x1))) 7. ==[ beta ]==> (((a a)(a a))((^z.(a a))(^x1.x1))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(^y.y))) 9. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 41626/2761722. ------ 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.z1)(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(^y1.((^z1.z1)(y1 y1)))) 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. ------ 41627/2761854. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 41628/2761929. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(^y.(^z.(y y)))) 3. ==[ beta ]==> ((a (a (a a)))(^y.(^z.(y y)))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.(x x)))) REDUCED to normal form. ------ 41629/2762034. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> (((^y.(y y))(a (a a))) b) 4. ==[ alpha ]==> (((^x.(x x))(a (a a))) b) 5. ==[ beta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 41630/2762316. ------ 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 a)))(^y.(y b))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(x b))) REDUCED to normal form. ------ 41631/2762421. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> (^y.((((^z.z) a)(a (a a)))(((^z.z) a)(a (a a))))) 4. ==[ alpha ]==> (^x.((((^y.y) a)(a (a a)))(((^z.z) a)(a (a a))))) 5. ==[ beta ]==> (^x.((a (a (a a)))(((^z.z) a)(a (a a))))) 6. ==[ alpha ]==> (^x.((a (a (a a)))(((^y.y) a)(a (a a))))) 7. ==[ beta ]==> (^x.((a (a (a a)))(a (a (a a))))) REDUCED to normal form. ------ 41632/2762496. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(^x1.(^y1.b))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(^x1.(^y1.b))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(^x1.b))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.b))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.b))) REDUCED to normal form. ------ 41633/2762628. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))((^y1.y1)(^z1.z1)))((^z.(^x1.x1))((^y1.y1)(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))((^x1.x1)(^y1.y1)))((^z1.(^x2.x2))((^y2.y2)(^z2.z2))))) 5. ==[ beta ]==> (((^y.(^z.z))((^x1.x1)(^y1.y1)))((^z1.(^x2.x2))((^y2.y2)(^z2.z2)))) 6. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 7. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 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. ------ 41634/2763117. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.z))) REDUCED to normal form. ------ 41635/2763252. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 41636/2763486. ------ 1. ==[ start ]==> (((a b) c)(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.(y y)))) REDUCED to normal form. ------ 41637/2763594. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^c.d)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.d)) REDUCED to normal form. ------ 41638/2763873. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.(^z.a))) 3. ==[ beta ]==> ((a (a b))(^y.(^z.a))) 4. ==[ alpha ]==> ((a (a b))(^x.(^y.a))) REDUCED to normal form. ------ 41639/2763954. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.(^y.x))) REDUCED to normal form. ------ 41640/2764008. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 41641/2764059. ------ 1. ==[ start ]==> ((^a.(b a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.y)(^z.(^x1.x1)))) 3. ==[ eta ]==> (b ((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 41642/2764062. ------ 1. ==[ start ]==> ((a (b a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 41643/2764152. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^a.b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.b)) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.b)) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.b)) 5. ==[ beta ]==> (b (^z.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 41644/2764245. ------ 1. ==[ start ]==> ((a (a a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 41645/2764272. ------ 1. ==[ start ]==> ((a b)((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((a b)((^x.(x x))(^y.b))) 3. ==[ beta ]==> ((a b)((^y.b)(^y.b))) 4. ==[ alpha ]==> ((a b)((^x.b)(^y.b))) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 41646/2764362. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(a (b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (b a))) 3. ==[ beta ]==> ((^y.(^z.z))(a (b a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (b a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 41647/2764389. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((a a)(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a a))) 5. ==[ beta ]==> (((a a)(^y.y))(a a)) 6. ==[ alpha ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 41648/2764416. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(a a))(a (^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. ------ 41649/2764425. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a)) c)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 41650/2764443. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a b)((^z.z) a))) 3. ==[ beta ]==> ((^y.y)((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. ------ 41651/2764470. ------ 1. ==[ start ]==> ((a (^b.a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.a))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 41652/2764551. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a)(a b))) 3. ==[ beta ]==> ((^y.a)(((^z.z) a)(a b))) 4. ==[ alpha ]==> ((^x.a)(((^y.y) a)(a b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 41653/2764578. ------ 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.z1)(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(a a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(a a))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 41654/2764641. ------ 1. ==[ start ]==> (((a a)(^b.a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.a))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 41655/2764668. ------ 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)(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. ------ 41656/2764695. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a b)(^b.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. ------ 41657/2764758. ------ 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)(^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. ------ 41658/2764785. ------ 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. ------ 41659/2764803. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y) a)(^z.b))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(^z.b))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.b))) 5. ==[ beta ]==> ((a a)(a (^y.b))) 6. ==[ alpha ]==> ((a a)(a (^x.b))) REDUCED to normal form. ------ 41660/2764812. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.a)(a b))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.a)(a b))) 3. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 41661/2764884. ------ 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. ------ 41662/2764911. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(a a)) b)) 3. ==[ beta ]==> (((a (a a)) a)((a a) b)) REDUCED to normal form. ------ 41663/2764938. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a b) c)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a b) c)) REDUCED to normal form. ------ 41664/2765055. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.a)(^y.b))) 3. ==[ beta ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 41665/2765082. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.(^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. ------ 41666/2765127. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 41667/2765172. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 41668/2765199. ------ 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.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. ------ 41669/2765253. ------ 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)(^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. ------ 41670/2765307. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))(a b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(a b))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(a b))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(a b))) 7. ==[ beta ]==> ((a (^y.y))(a b)) 8. ==[ alpha ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 41671/2765334. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)((^y.y)(a a))) 6. ==[ alpha ]==> ((a a)((^x.x)(a a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 41672/2765370. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y)(a a))(^z.z))) 5. ==[ beta ]==> ((a (^x.a))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.a))((a a)(^y.y))) REDUCED to normal form. ------ 41673/2765397. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 41674/2765424. ------ 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. ------ 41675/2765460. ------ 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)(^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. ------ 41676/2765487. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a (a a)))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a (^x.x))(a (a a)))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)(^z.z))) 9. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.z)) 10. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 41677/2765514. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)((a a) a))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.a)((a a) a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)((a a) a))) 5. ==[ beta ]==> ((a a)((^y.a)((a a) a))) 6. ==[ alpha ]==> ((a a)((^x.a)((a a) a))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 41678/2765541. ------ 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. ------ 41679/2765568. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^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. ------ 41680/2765595. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(a a))(^y.y))) 3. ==[ beta ]==> ((a ((a a) a))(a a)) REDUCED to normal form. ------ 41681/2765766. ------ 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. ------ 41682/2765793. ------ 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.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))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 41683/2765802. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(a a)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 41684/2765829. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.b) b)) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.b) b)) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.b) b)) 5. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 41685/2765847. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((a a) a)(a (^z.z)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((a a) a)(a (^z.z)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a) a)(a (^z.z)))) 5. ==[ beta ]==> ((a ((^y.y) a))(((a a) a)(a (^z.z)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((a a) a)(a (^y.y)))) 7. ==[ beta ]==> ((a a)(((a a) a)(a (^y.y)))) 8. ==[ alpha ]==> ((a a)(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 41686/2765856. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^c.a) c)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.a) c)) 3. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 41687/2765928. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.b))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.b))(a (^y.y))) REDUCED to normal form. ------ 41688/2765973. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(b (^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(b (^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (^z.b))) REDUCED to normal form. ------ 41689/2766000. ------ 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. ------ 41690/2766027. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.b)(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.b)(a a))) 3. ==[ beta ]==> (((a (a a)) a)((^y.b)(a a))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.b)(a a))) 5. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 41691/2766081. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 41692/2766099. ------ 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 (a a))(^y.(y y)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 41693/2766108. ------ 1. ==[ start ]==> ((a (a b))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((a (a b))((^x.(x x))(a (a a)))) 3. ==[ beta ]==> ((a (a b))((a (a a))(a (a a)))) REDUCED to normal form. ------ 41694/2766261. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x)(^y.y)) c)) 3. ==[ beta ]==> ((((a a) a) b)((^y.y) c)) 4. ==[ alpha ]==> ((((a a) a) b)((^x.x) c)) 5. ==[ beta ]==> ((((a a) a) b) c) REDUCED to normal form. ------ 41695/2766387. ------ 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)))(a (a b))) REDUCED to normal form. ------ 41696/2766396. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.b) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.b) a)) 3. ==[ beta ]==> (((a (a a))(^x.(x x))) b) REDUCED to normal form. ------ 41697/2766423. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^c.a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.a) b)) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a) b)) 5. ==[ beta ]==> ((^y.a)((^z.a) b)) 6. ==[ alpha ]==> ((^x.a)((^y.a) b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 41698/2766450. ------ 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. ------ 41699/2766468. ------ 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 a))((^y.y) a))) 4. ==[ alpha ]==> (b ((a (a a))((^x.x) a))) 5. ==[ beta ]==> (b ((a (a a)) a)) REDUCED to normal form. ------ 41700/2766495. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> ((a (^x.(a a)))(a (a (a a)))) REDUCED to normal form. ------ 41701/2766513. ------ 1. ==[ start ]==> (((a a)(a b))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(c (^x.(^y.y)))) REDUCED to normal form. ------ 41702/2766540. ------ 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. ------ 41703/2766567. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(a (^x1.b))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(a (^x1.b))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(a (^z.b))) 5. ==[ beta ]==> ((a (^y.y))(a (^z.b))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.b))) REDUCED to normal form. ------ 41704/2766621. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(^y1.y1))(a (^z1.z1)))) 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)))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 41705/2766648. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a ((^z.z) a))) 6. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(a ((^y.y) a))) 7. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 41706/2766666. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> (b (a (^y.(y y)))) 6. ==[ alpha ]==> (b (a (^x.(x x)))) REDUCED to normal form. ------ 41707/2766675. ------ 1. ==[ start ]==> (((a b)(a a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.a)(a (a a)))) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 41708/2766702. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(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. ------ 41709/2766873. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 41710/2766927. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^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. ------ 41711/2766936. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.(^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. ------ 41712/2766954. ------ 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. ------ 41713/2766963. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(a a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(z z)) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(c c)) REDUCED to normal form. ------ 41714/2767008. ------ 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 (^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a (^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))(a (a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.y1))(a (a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))(a (a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(a (a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(a (a a)))) 9. ==[ beta ]==> ((^y.y)((a (^z.z))(a (a a)))) 10. ==[ alpha ]==> ((^x.x)((a (^y.y))(a (a a)))) 11. ==[ beta ]==> ((a (^y.y))(a (a a))) 12. ==[ alpha ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 41715/2767071. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)(^z.z))) 5. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 41716/2767098. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 41717/2767125. ------ 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)(^x.x))(a (^z.a))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.a))) REDUCED to normal form. ------ 41718/2767161. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 41719/2767188. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a b))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 41720/2767215. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.(^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. ------ 41721/2767242. ------ 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.(^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. ------ 41722/2767269. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.a)(^b.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. ------ 41723/2767296. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((((a a) a) a)(^y.y)) 6. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 41724/2767323. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.a)(^b.(^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. ------ 41725/2767413. ------ 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 (^x1.x1))((^y1.y1) 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. ------ 41726/2767557. ------ 1. ==[ start ]==> (((a b) c)((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b) c)((a a)(^x.(x x)))) REDUCED to normal form. ------ 41727/2767584. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a (a a)) a)) 3. ==[ beta ]==> (((a a) b)((a (a a)) a)) REDUCED to normal form. ------ 41728/2767611. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((^a.a) a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y) a) b)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a b)) REDUCED to normal form. ------ 41729/2767656. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(b ((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(b ((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y) a))) 5. ==[ beta ]==> (b ((^y.y) a)) 6. ==[ alpha ]==> (b ((^x.x) a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 41730/2767692. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(z z)) a)) 3. ==[ beta ]==> ((a (^y.b))((^z.(z z)) a)) 4. ==[ alpha ]==> ((a (^x.b))((^y.(y y)) a)) 5. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 41731/2767710. ------ 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. ------ 41732/2767746. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1)) c)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1)) c)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) c)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) c)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 41733/2767800. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 41734/2767827. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (^x1.x1))(^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. ------ 41735/2767854. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a a)(^z.a))) REDUCED to normal form. ------ 41736/2767890. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a a)((a a)(^x.x))) a) REDUCED to normal form. ------ 41737/2767917. ------ 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)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 41738/2767944. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 41739/2767998. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b (^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b (^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b (^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(b (^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.y)(b (^z.(^x1.x1)))) 8. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 9. ==[ beta ]==> (b (^y.(^z.z))) 10. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 41740/2768025. ------ 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. ------ 41741/2768052. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(^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)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 41742/2768079. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(a (^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. ------ 41743/2768106. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 41744/2768133. ------ 1. ==[ start ]==> ((a (b a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (b a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (b a))(^x.(^y.y))) REDUCED to normal form. ------ 41745/2768223. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(a b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(a b)) 3. ==[ beta ]==> (((^y.b)(^y.b))(a b)) 4. ==[ alpha ]==> (((^x.b)(^y.b))(a b)) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 41746/2772204. ------ 1. ==[ start ]==> ((^a.(b a))(^c.b)) 2. ==[ alpha ]==> ((^x.(b x))(^y.b)) 3. ==[ eta ]==> (b (^y.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 41747/2772456. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 41748/2772522. ------ 1. ==[ start ]==> (((a a) b)(^a.(b a))) 2. ==[ alpha ]==> (((a a) b)(^x.(b x))) 3. ==[ eta ]==> (((a a) b) b) REDUCED to normal form. ------ 41749/2772861. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 41750/2772960. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> ((((^y.y) a)(^z.b))((((^y.y) a)(^z.b))(((^y.y) a)(^z.b)))) 4. ==[ alpha ]==> ((((^x.x) a)(^y.b))((((^z.z) a)(^x1.b))(((^y1.y1) a)(^z1.b)))) 5. ==[ beta ]==> ((a (^y.b))((((^z.z) a)(^x1.b))(((^y1.y1) a)(^z1.b)))) 6. ==[ alpha ]==> ((a (^x.b))((((^y.y) a)(^z.b))(((^x1.x1) a)(^y1.b)))) 7. ==[ beta ]==> ((a (^x.b))((a (^z.b))(((^x1.x1) a)(^y1.b)))) 8. ==[ alpha ]==> ((a (^x.b))((a (^y.b))(((^z.z) a)(^x1.b)))) 9. ==[ beta ]==> ((a (^x.b))((a (^y.b))(a (^x1.b)))) 10. ==[ alpha ]==> ((a (^x.b))((a (^y.b))(a (^z.b)))) REDUCED to normal form. ------ 41751/2773185. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 41752/2773278. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.((y y)(^z.z)))) 3. ==[ beta ]==> ((b b)(^y.((y y)(^z.z)))) 4. ==[ alpha ]==> ((b b)(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 41753/2773311. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(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. ------ 41754/2773743. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((^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)) 4. ==[ alpha ]==> (((((^x.x)(a a)) a)(((^y.y)(a a)) a))(((^z.z)(a a)) a)) 5. ==[ beta ]==> ((((a a) a)(((^y.y)(a a)) a))(((^z.z)(a a)) a)) 6. ==[ alpha ]==> ((((a a) a)(((^x.x)(a a)) a))(((^y.y)(a a)) a)) 7. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y)(a a)) a)) 8. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(a a)) a)) 9. ==[ beta ]==> ((((a a) a)((a a) a))((a a) a)) REDUCED to normal form. ------ 41755/2773944. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 41756/2773953. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(x1 x1))) REDUCED to normal form. ------ 41757/2774256. ------ 1. ==[ start ]==> ((^a.(a b))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))((a (a a))(^y.(y y)))) 3. ==[ beta ]==> (((a (a a))(^y.(y y))) b) 4. ==[ alpha ]==> (((a (a a))(^x.(x x))) b) REDUCED to normal form. ------ 41758/2774349. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(a z))) 3. ==[ eta ]==> (((^x.(x x))(^y.(y y))) a) 4. ==[ beta ]==> (((^y.(y y))(^y.(y y))) a) 5. ==[ alpha ]==> (((^x.(x x))(^y.(y y))) a) IRREDUCIBLE: cycle. ------ 41759/2774538. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(^y.(^z.y))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.(^z.y))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(^y.x))) REDUCED to normal form. ------ 41760/2774547. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^a.(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(y b))) REDUCED to normal form. ------ 41761/2774850. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a (^z.z))(^x1.(^y1.y1)))((a (^z.z))(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(((a (^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.(^x2.x2))))) 5. ==[ beta ]==> (((a (^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 41762/2774889. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.((a a) a))) 3. ==[ beta ]==> ((^y.y)(^x1.((a a) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a) a))) 5. ==[ beta ]==> (^y.((a a) a)) 6. ==[ alpha ]==> (^x.((a a) a)) REDUCED to normal form. ------ 41763/2775060. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.((y y) y))) 3. ==[ beta ]==> (((a a) a)(^y.((y y) y))) 4. ==[ alpha ]==> (((a a) a)(^x.((x x) x))) REDUCED to normal form. ------ 41764/2775339. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 41765/2775465. ------ 1. ==[ start ]==> (((^a.b) c)(^d.(a (a a)))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(a (a a)))) 3. ==[ beta ]==> (b (^y.(a (a a)))) 4. ==[ alpha ]==> (b (^x.(a (a a)))) REDUCED to normal form. ------ 41766/2775525. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(z z)) b)) 3. ==[ beta ]==> ((((^z.(z z)) b)((^z.(z z)) b))(^y.y)) 4. ==[ alpha ]==> ((((^x.(x x)) b)((^y.(y y)) b))(^z.z)) 5. ==[ beta ]==> (((b b)((^y.(y y)) b))(^z.z)) 6. ==[ alpha ]==> (((b b)((^x.(x x)) b))(^y.y)) 7. ==[ beta ]==> (((b b)(b b))(^y.y)) 8. ==[ alpha ]==> (((b b)(b b))(^x.x)) REDUCED to normal form. ------ 41767/2775708. ------ 1. ==[ start ]==> (((a b) c)(^d.d)) 2. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 41768/2775843. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(z (z z)))) 3. ==[ beta ]==> ((a (^y.b))(^z.(z (z z)))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(y (y y)))) REDUCED to normal form. ------ 41769/2775942. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 41770/2776095. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^c.c)) 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. ------ 41771/2776176. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(^b.c)) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.c)) REDUCED to normal form. ------ 41772/2776281. ------ 1. ==[ start ]==> ((^a.(b a))((a a) b)) 2. ==[ alpha ]==> ((^x.(b x))((a a) b)) 3. ==[ eta ]==> (b ((a a) b)) REDUCED to normal form. ------ 41773/2776284. ------ 1. ==[ start ]==> ((a (b a))(^c.b)) 2. ==[ alpha ]==> ((a (b a))(^x.b)) REDUCED to normal form. ------ 41774/2776374. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(a a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(a a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(a a))) 5. ==[ beta ]==> (b (^z.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 41775/2776485. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 41776/2776512. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(^z.b))) 3. ==[ beta ]==> ((a a)((^y.(y y))(^z.b))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(^y.b))) 5. ==[ beta ]==> ((a a)((^y.b)(^y.b))) 6. ==[ alpha ]==> ((a a)((^x.b)(^y.b))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 41777/2776539. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 41778/2776548. ------ 1. ==[ start ]==> (((^a.a) b)(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x) 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. ------ 41779/2776575. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 41780/2776602. ------ 1. ==[ start ]==> (((a a) b)(a (b a))) REDUCED to normal form. ------ 41781/2776629. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 41782/2776656. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a))(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. ------ 41783/2776683. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((a b) a)) REDUCED to normal form. ------ 41784/2776737. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 41785/2776818. ------ 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 (^y.y))(a a))) REDUCED to normal form. ------ 41786/2776845. ------ 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. ------ 41787/2776944. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.b)((^z.z) a))) 3. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 41788/2776962. ------ 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)))) 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. ------ 41789/2776989. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(^x1.(^y1.y1)))) 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. ------ 41790/2777043. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x) 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. ------ 41791/2777052. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)(a b))) 3. ==[ beta ]==> ((^y.(y y))((^z.a)(a b))) 4. ==[ alpha ]==> ((^x.(x x))((^y.a)(a b))) 5. ==[ beta ]==> (((^y.a)(a b))((^y.a)(a b))) 6. ==[ alpha ]==> (((^x.a)(a b))((^y.a)(a b))) 7. ==[ beta ]==> (a ((^y.a)(a b))) 8. ==[ alpha ]==> (a ((^x.a)(a b))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 41792/2777079. ------ 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.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. ------ 41793/2777160. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 41794/2777187. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.b)(^b.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. ------ 41795/2777241. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(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. ------ 41796/2777268. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 41797/2777358. ------ 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 b)(a ((a a)(^y.y)))) 4. ==[ alpha ]==> ((b b)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 41798/2777394. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(a a)) b)) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a)) b)) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a)) b)) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 41799/2777493. ------ 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. ------ 41800/2777520. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z) a)((a a) a))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)((a a) a))) 5. ==[ beta ]==> (a (((^y.y) a)((a a) a))) 6. ==[ alpha ]==> (a (((^x.x) a)((a a) a))) 7. ==[ beta ]==> (a (a ((a a) a))) REDUCED to normal form. ------ 41801/2777547. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(a b))) REDUCED to normal form. ------ 41802/2777565. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(b (^z.(a a)))) 3. ==[ beta ]==> ((^y.y)(b (^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 41803/2777574. ------ 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.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a a)(a a))) REDUCED to normal form. ------ 41804/2777619. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(a a))(a a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(a a))(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(a a))(a a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 41805/2777691. ------ 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)(^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. ------ 41806/2777718. ------ 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. ------ 41807/2777772. ------ 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. ------ 41808/2777799. ------ 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. ------ 41809/2777826. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(a a)) a)) 3. ==[ beta ]==> ((a ((a a) a))((a a) a)) REDUCED to normal form. ------ 41810/2777862. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.b)(^a.(^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. ------ 41811/2777916. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.(^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. ------ 41812/2777997. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(^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. ------ 41813/2778024. ------ 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)((^y1.y1)(^z1.(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. ------ 41814/2778033. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (a a))) REDUCED to normal form. ------ 41815/2778060. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a b)(a a))) 3. ==[ beta ]==> ((a (^y.(y y)))((a b)(a a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a b)(a a))) REDUCED to normal form. ------ 41816/2778087. ------ 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. ------ 41817/2778114. ------ 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))((^x2.x2) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))((^y1.y1) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 41818/2778141. ------ 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. ------ 41819/2778258. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((a b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((a b)(^y.y))) 3. ==[ beta ]==> (((a (a a)) a)((a b)(^y.y))) 4. ==[ alpha ]==> (((a (a a)) a)((a b)(^x.x))) REDUCED to normal form. ------ 41820/2778285. ------ 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. ------ 41821/2778312. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x)(^y.y))(^z.a))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.y)(^z.a))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)(^y.a))) 5. ==[ beta ]==> ((((a a) a)(a a))(^y.a)) 6. ==[ alpha ]==> ((((a a) a)(a a))(^x.a)) REDUCED to normal form. ------ 41822/2778339. ------ 1. ==[ start ]==> ((a (a b))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a b))((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 41823/2778348. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> ((^y.b)((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> ((^x.b)((^y.(y y))(a (a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 41824/2778429. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)(a b))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.z)(a b))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)(a b))) IRREDUCIBLE: cycle. ------ 41825/2778510. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b ((^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. ------ 41826/2778537. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((a b)((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> ((a b)((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> ((a b)((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> ((a b)((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 41827/2778564. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.a)(^b.(^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. ------ 41828/2778600. ------ 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. ------ 41829/2778618. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.y)(^z.b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)(^z.b))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)(^y.b))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^y.b)) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.b)) REDUCED to normal form. ------ 41830/2778627. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(a (a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a (a b))) REDUCED to normal form. ------ 41831/2778654. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((a a) a)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((a a) a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((a a) a)(a a))) 5. ==[ beta ]==> ((^y.a)(((a a) a)(a a))) 6. ==[ alpha ]==> ((^x.a)(((a a) a)(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 41832/2778681. ------ 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. ------ 41833/2778708. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.x))((a (a a))((^y.y) a))) 3. ==[ beta ]==> (((a b)(^x.x))((a (a a)) a)) REDUCED to normal form. ------ 41834/2778825. ------ 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. ------ 41835/2778852. ------ 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))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (a (((^y.y)(^z.z))(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (a (((^x.x)(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> (a ((^y.y)(^z.(^x1.x1)))) 10. ==[ alpha ]==> (a ((^x.x)(^y.(^z.z)))) 11. ==[ beta ]==> (a (^y.(^z.z))) 12. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 41836/2778879. ------ 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. ------ 41837/2778906. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x) 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. ------ 41838/2778933. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(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. ------ 41839/2778942. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 41840/2778969. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.x1)((a a) a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((a a) a))) 5. ==[ beta ]==> ((^y.y)((a a) a)) 6. ==[ alpha ]==> ((^x.x)((a a) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 41841/2779023. ------ 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))(^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. ------ 41842/2779104. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 41843/2779113. ------ 1. ==[ start ]==> (((a b) b)(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(b ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a b) b)(b (^y.y))) 4. ==[ alpha ]==> (((a b) b)(b (^x.x))) REDUCED to normal form. ------ 41844/2779140. ------ 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. ------ 41845/2779167. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> (((a a)(^x.(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. ------ 41846/2779194. ------ 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. ------ 41847/2779248. ------ 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. ------ 41848/2779275. ------ 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)))) 9. ==[ beta ]==> (((a a)(^y.y))((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. ------ 41849/2779320. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.(^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. ------ 41850/2779392. ------ 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. ------ 41851/2779419. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 41852/2779446. ------ 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)) a)) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y)(^z.z)) a)) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(^y.y)) a)) 5. ==[ beta ]==> ((a ((a a) a))((^y.y) a)) 6. ==[ alpha ]==> ((a ((a a) a))((^x.x) a)) 7. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 41853/2779473. ------ 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. ------ 41854/2779545. ------ 1. ==[ start ]==> (((^a.b) c)(b (a (a a)))) 2. ==[ alpha ]==> (((^x.b) c)(b (a (a a)))) 3. ==[ beta ]==> (b (b (a (a a)))) REDUCED to normal form. ------ 41855/2779581. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.(^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. ------ 41856/2779608. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(y y)) b)) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(b b)) REDUCED to normal form. ------ 41857/2779644. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(c (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(c (^x1.a))) 3. ==[ beta ]==> ((^y.y)(c (^x1.a))) 4. ==[ alpha ]==> ((^x.x)(c (^y.a))) 5. ==[ beta ]==> (c (^y.a)) 6. ==[ alpha ]==> (c (^x.a)) REDUCED to normal form. ------ 41858/2779779. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 41859/2779788. ------ 1. ==[ start ]==> (((a b) c)(b d)) REDUCED to normal form. ------ 41860/2779860. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^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)))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 41861/2779887. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 41862/2779896. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(b ((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(b a)) REDUCED to normal form. ------ 41863/2779923. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(a (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(a (a (a a)))) 3. ==[ beta ]==> ((a (^y.b))(a (a (a a)))) 4. ==[ alpha ]==> ((a (^x.b))(a (a (a a)))) REDUCED to normal form. ------ 41864/2779977. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 41865/2780004. ------ 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))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((a a) a)) REDUCED to normal form. ------ 41866/2780022. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(a (^z.(z z)))) 3. ==[ beta ]==> (b (a (^z.(z z)))) 4. ==[ alpha ]==> (b (a (^x.(x x)))) REDUCED to normal form. ------ 41867/2780085. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(b c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b c)) REDUCED to normal form. ------ 41868/2780121. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((^y.y) a) a)) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 41869/2780148. ------ 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)) REDUCED to normal form. ------ 41870/2780175. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a a) c)) 3. ==[ beta ]==> ((a (a b))((a a) c)) REDUCED to normal form. ------ 41871/2780202. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^b.a) a)) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.a) a)) 3. ==[ beta ]==> (((a (a a))((a a) a)) a) REDUCED to normal form. ------ 41872/2780229. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1)) b)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1)) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1)) b)) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1)) b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1)) b)) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) b)) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 9. ==[ beta ]==> ((^y.(^z.z)) b) 10. ==[ alpha ]==> ((^x.(^y.y)) b) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 41873/2780283. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a (^y.y))(^z.z))) 3. ==[ beta ]==> (((a b) a)((a (^y.y))(^z.z))) 4. ==[ alpha ]==> (((a b) a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 41874/2780310. ------ 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)))) REDUCED to normal form. ------ 41875/2780337. ------ 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. ------ 41876/2780364. ------ 1. ==[ start ]==> ((a (b a))((a a) b)) REDUCED to normal form. ------ 41877/2780454. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.z)(a a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.z)(a a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.z)(a a))) 5. ==[ beta ]==> (b ((^z.z)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 41878/2784750. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(b ((a a)(^z.z)))) 3. ==[ beta ]==> ((b ((a a)(^z.z)))(^y.y)) 4. ==[ alpha ]==> ((b ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 41879/2784939. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (a a))((a a) a))) 3. ==[ eta ]==> ((^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. ------ 41880/2785110. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a b)(^b.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. ------ 41881/2785284. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.((a a)(^z.z)))) 3. ==[ beta ]==> ((a b)(^y.((a a)(^z.z)))) 4. ==[ alpha ]==> ((a b)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 41882/2785527. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b b)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 41883/2785536. ------ 1. ==[ start ]==> (((a (a a))(a a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 41884/2785560. ------ 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)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 41885/2785770. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 41886/2786202. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.(a a)))) REDUCED to normal form. ------ 41887/2786796. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(^z.y))) REDUCED to normal form. ------ 41888/2787138. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^c.(^c.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. ------ 41889/2787309. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.(^z.a))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.a))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.a))) REDUCED to normal form. ------ 41890/2787471. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^a.(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.y))) REDUCED to normal form. ------ 41891/2787750. ------ 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))(^x.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 41892/2787774. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a (a a))(a a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a (a a))(a a))) 3. ==[ beta ]==> ((((a (a a))(a a))((a (a a))(a a)))(^y.y)) 4. ==[ alpha ]==> ((((a (a a))(a a))((a (a a))(a a)))(^x.x)) REDUCED to normal form. ------ 41893/2787984. ------ 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)))) REDUCED to normal form. ------ 41894/2788092. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.b))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.(z z)))) REDUCED to normal form. ------ 41895/2788200. ------ 1. ==[ start ]==> (((a b)(^b.a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.(z z)))) REDUCED to normal form. ------ 41896/2788371. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(^x.((^y.y) x))) 3. ==[ eta ]==> (((a (a a))((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.x)) REDUCED to normal form. ------ 41897/2788530. ------ 1. ==[ start ]==> ((^a.(b a))(b (a a))) 2. ==[ alpha ]==> ((^x.(b x))(b (a a))) 3. ==[ eta ]==> (b (b (a a))) REDUCED to normal form. ------ 41898/2788623. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.x1))) 5. ==[ beta ]==> (b (^z.(^x1.x1))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 41899/2788752. ------ 1. ==[ start ]==> (((a a) a)((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 41900/2788779. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.b))) 3. ==[ beta ]==> (((a a)(^x.x))((^z.b)(^z.b))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(^z.b))) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 41901/2788806. ------ 1. ==[ start ]==> (((^a.a) b)((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (b ((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 41902/2788842. ------ 1. ==[ start ]==> ((a (a (^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 41903/2788932. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(a a)) c)) 3. ==[ beta ]==> ((^y.y)((^z.(a a)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) c)) 5. ==[ beta ]==> ((^y.(a a)) c) 6. ==[ alpha ]==> ((^x.(a a)) c) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 41904/2788977. ------ 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. ------ 41905/2789004. ------ 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 (^x.x))(a a))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)((^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. ------ 41906/2789031. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a (a a))((a a) a))) 3. ==[ beta ]==> ((a a)((a (a a))((a a) a))) REDUCED to normal form. ------ 41907/2789076. ------ 1. ==[ start ]==> (((a (^a.a)) b)(c (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(c (^y.(a a)))) REDUCED to normal form. ------ 41908/2789103. ------ 1. ==[ start ]==> ((((^a.a) a) a)(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(b (^y.(^z.z)))) 3. ==[ beta ]==> ((a a)(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 41909/2789148. ------ 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)(((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. ------ 41910/2789184. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 41911/2789202. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a b)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a b)(^y.a))) REDUCED to normal form. ------ 41912/2789292. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(y y))((a a) a))) 3. ==[ beta ]==> ((a a)((^y.(y y))((a a) a))) 4. ==[ alpha ]==> ((a a)((^x.(x x))((a a) a))) 5. ==[ beta ]==> ((a a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 41913/2789310. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)(^z.b))) 5. ==[ beta ]==> ((((^y.y) a)(^z.b))(((^y.y) a)(^z.b))) 6. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z) a)(^x1.b))) 7. ==[ beta ]==> ((a (^y.b))(((^z.z) a)(^x1.b))) 8. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)(^z.b))) 9. ==[ beta ]==> ((a (^x.b))(a (^z.b))) 10. ==[ alpha ]==> ((a (^x.b))(a (^y.b))) REDUCED to normal form. ------ 41914/2789337. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a (^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(a a))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 41915/2789373. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) 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. ------ 41916/2789391. ------ 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 ]==> (((^y.y)(^y.y))(((a a)(^z.z)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z)) a)) 5. ==[ beta ]==> ((^y.y)(((a a)(^z.z)) a)) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) a)) 7. ==[ beta ]==> (((a a)(^y.y)) a) 8. ==[ alpha ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 41917/2789418. ------ 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. ------ 41918/2789427. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.(a a))(^a.(^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. ------ 41919/2789445. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 41920/2789454. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) b) REDUCED to normal form. ------ 41921/2789508. ------ 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. ------ 41922/2789598. ------ 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. ------ 41923/2789616. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 41924/2789625. ------ 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. ------ 41925/2789652. ------ 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 (^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. ------ 41926/2789661. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.(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. ------ 41927/2789688. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 41928/2789805. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(c (^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c (^z.b))) REDUCED to normal form. ------ 41929/2789832. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(b (^z.(a a)))) REDUCED to normal form. ------ 41930/2789859. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(a (^c.(^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)))) REDUCED to normal form. ------ 41931/2789877. ------ 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 a))(^x1.x1))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(a a))(^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. ------ 41932/2789886. ------ 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 a)) REDUCED to normal form. ------ 41933/2789913. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.b)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((^z.b)(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(a (^z.z)))) 7. ==[ beta ]==> ((^y.b)(a (^z.z))) 8. ==[ alpha ]==> ((^x.b)(a (^y.y))) 9. ==[ beta ]==> b REDUCED to normal form. ------ 41934/2790120. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b) b)) 3. ==[ beta ]==> ((^y.y)((a b) b)) 4. ==[ alpha ]==> ((^x.x)((a b) b)) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 41935/2790210. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(a a))(^b.(^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. ------ 41936/2790237. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.a)(^y.a))) 3. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 41937/2790291. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(a a))) REDUCED to normal form. ------ 41938/2790336. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.b) b)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.b) b)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.b) b)) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.b) b)) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.b) b)) 7. ==[ beta ]==> ((a a)((^y.b) b)) 8. ==[ alpha ]==> ((a a)((^x.b) b)) 9. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 41939/2790435. ------ 1. ==[ start ]==> (((a a)((a a) a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(((^x.x) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)((a a) a))(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a)((a a) a))(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a a)((a a) a))(a (^y.y))) 6. ==[ alpha ]==> (((a a)((a a) a))(a (^x.x))) REDUCED to normal form. ------ 41940/2790462. ------ 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.x1))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))((a a) a))) REDUCED to normal form. ------ 41941/2790489. ------ 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. ------ 41942/2790588. ------ 1. ==[ start ]==> (((^a.b) a)((^b.(^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. ------ 41943/2790606. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> ((^y.b)((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> ((^x.b)((a (a a))(^y.(y y)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 41944/2790687. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a)(^z.b))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a a)(^z.b))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a)(^z.b))) IRREDUCIBLE: cycle. ------ 41945/2790750. ------ 1. ==[ start ]==> ((((a a) a) b)((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 41946/2790768. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1)) c)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) c)) 5. ==[ beta ]==> (b ((^y.y) c)) 6. ==[ alpha ]==> (b ((^x.x) c)) 7. ==[ beta ]==> (b c) REDUCED to normal form. ------ 41947/2790777. ------ 1. ==[ start ]==> (((a b) a)((^b.(^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. ------ 41948/2790804. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.b))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 41949/2790858. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(^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. ------ 41950/2790885. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y)(^z.b))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.b)) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.b)) REDUCED to normal form. ------ 41951/2790957. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.(^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. ------ 41952/2791002. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x) a)(a (a a)))) 3. ==[ beta ]==> (((a a)(a b))(a (a (a a)))) REDUCED to normal form. ------ 41953/2791029. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 41954/2791056. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a a)((a a) a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a a)((a a) a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a a)((a a) a))) 5. ==[ beta ]==> ((a (^y.y))((a a)((a a) a))) 6. ==[ alpha ]==> ((a (^x.x))((a a)((a a) a))) REDUCED to normal form. ------ 41955/2791155. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (b ((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> (b ((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> (b (((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> (b (((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> (b (a ((^y.y) a))) 8. ==[ alpha ]==> (b (a ((^x.x) a))) 9. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 41956/2791200. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (^a.a))(^b.(^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. ------ 41957/2791227. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((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. ------ 41958/2791281. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^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. ------ 41959/2791371. ------ 1. ==[ start ]==> (((a b) b)((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 41960/2791443. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.(^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. ------ 41961/2791506. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(c (^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(c (^z.(z z)))) REDUCED to normal form. ------ 41962/2791533. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(b (^b.(^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. ------ 41963/2791560. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(a (^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(a (^y.a))) REDUCED to normal form. ------ 41964/2791578. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^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. ------ 41965/2791587. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 41966/2791614. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^x.x))((a (^z.z))(a (^z.z)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 41967/2791803. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 41968/2791812. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(b (a (a a)))) REDUCED to normal form. ------ 41969/2791839. ------ 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)))) 5. ==[ beta ]==> (((a a)(a a))(a (^y.y))) 6. ==[ alpha ]==> (((a a)(a a))(a (^x.x))) REDUCED to normal form. ------ 41970/2791866. ------ 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. ------ 41971/2791902. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.a) c)) 3. ==[ beta ]==> ((^y.y)((^x1.a) c)) 4. ==[ alpha ]==> ((^x.x)((^y.a) c)) 5. ==[ beta ]==> ((^y.a) c) 6. ==[ alpha ]==> ((^x.a) c) 7. ==[ beta ]==> a REDUCED to normal form. ------ 41972/2792037. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 41973/2792046. ------ 1. ==[ start ]==> (((a b) c)((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 41974/2792073. ------ 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. ------ 41975/2792100. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)(^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(^z.z))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 41976/2792118. ------ 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)(^x.x))(a b)) REDUCED to normal form. ------ 41977/2792154. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 41978/2792181. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.b))(^z.(z z))) 6. ==[ alpha ]==> ((a (^x.b))(^y.(y y))) REDUCED to normal form. ------ 41979/2792199. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(y y)) a)) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(y y)) a)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(x x)) a)) 5. ==[ beta ]==> ((((a a) a)((a a) a))(a a)) REDUCED to normal form. ------ 41980/2792235. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(c (^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(c (^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c (^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(c (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(c (^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 41981/2792262. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(b (^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(b (^y.a))) REDUCED to normal form. ------ 41982/2792289. ------ 1. ==[ start ]==> (((a b)(^b.a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(a (^y.(y y)))) REDUCED to normal form. ------ 41983/2792316. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.a)(a a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.a)(a a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(a a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 41984/2792343. ------ 1. ==[ start ]==> ((((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.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. ------ 41985/2792433. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 41986/2792460. ------ 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. ------ 41987/2792487. ------ 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)) REDUCED to normal form. ------ 41988/2792514. ------ 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. ------ 41989/2792541. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(c a)) 2. ==[ alpha ]==> (((a b)((^x.x) a))(c a)) 3. ==[ beta ]==> (((a b) a)(c a)) REDUCED to normal form. ------ 41990/2792568. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(b b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(b b)) 3. ==[ beta ]==> (((a a)(a (^y.y)))(b b)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(b b)) REDUCED to normal form. ------ 41991/2792622. ------ 1. ==[ start ]==> ((a (b a))(b (a a))) REDUCED to normal form. ------ 41992/2792712. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a a)(^z.z))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a a)(^z.z))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a a)(^z.z))) 5. ==[ beta ]==> (b ((a a)(^z.z))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 41993/2792792. ------ 1. ==[ start ]==> (^a.((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (^x.((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 41994/2792793. ------ 1. ==[ start ]==> (a ((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (a ((^x.b)(^y.(y y)))) 3. ==[ beta ]==> (a b) REDUCED to normal form. ------ 41995/2794173. ------ 1. ==[ start ]==> ((^a.((a a) a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^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)))) 4. ==[ alpha ]==> (((^x.((^y.y)(a a)))(^z.((^x1.x1)(a a))))(^y1.((^z1.z1)(a a)))) 5. ==[ beta ]==> (((^y.y)(a a))(^y1.((^z1.z1)(a a)))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.((^z.z)(a a)))) 7. ==[ beta ]==> ((a a)(^y.((^z.z)(a a)))) 8. ==[ alpha ]==> ((a a)(^x.((^y.y)(a a)))) 9. ==[ beta ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 41996/2796885. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a))) a) 2. ==[ alpha ]==> (((^x.b)(^y.(y y))) a) 3. ==[ beta ]==> (b a) REDUCED to normal form. ------ 41997/2796891. ------ 1. ==[ start ]==> ((^a.a)((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(z z)))) 3. ==[ beta ]==> ((^y.b)(^z.(z z))) 4. ==[ alpha ]==> ((^x.b)(^y.(y y))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 41998/2796945. ------ 1. ==[ start ]==> ((^a.b)((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 41999/2797065. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^a.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.(b x1))) 3. ==[ eta ]==> (((^x.(^y.y))(^z.z)) b) 4. ==[ beta ]==> ((^y.y) b) 5. ==[ alpha ]==> ((^x.x) b) 6. ==[ beta ]==> b REDUCED to normal form. ------ 42000/2797143. ------ 1. ==[ start ]==> ((^a.(^b.a))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))((a b)((^z.z) a))) 3. ==[ beta ]==> (^y.((a b)((^z.z) a))) 4. ==[ alpha ]==> (^x.((a b)((^y.y) a))) 5. ==[ beta ]==> (^x.((a b) a)) REDUCED to normal form. ------ 42001/2797485. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(y y))((a a) a))) 3. ==[ beta ]==> (((^y.(y y))((a a) a))(((^y.(y y))((a a) a))((^y.(y y))((a a) a)))) 4. ==[ alpha ]==> (((^x.(x x))((a a) a))(((^y.(y y))((a a) a))((^z.(z z))((a a) a)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.(y y))((a a) a))((^z.(z z))((a a) a)))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.(x x))((a a) a))((^y.(y y))((a a) a)))) 7. ==[ beta ]==> ((((a a) a)((a a) a))((((a a) a)((a a) a))((^y.(y y))((a a) a)))) 8. ==[ alpha ]==> ((((a a) a)((a a) a))((((a a) a)((a a) a))((^x.(x x))((a a) a)))) 9. ==[ beta ]==> ((((a a) a)((a a) a))((((a a) a)((a a) a))(((a a) a)((a a) a)))) REDUCED to normal form. ------ 42002/2797560. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 42003/2797812. ------ 1. ==[ start ]==> (((a (a a))(a a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 42004/2798268. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> ((((^y.y)((^z.z)(a a)))((^y.y)((^z.z)(a a))))((^y.y)((^z.z)(a a)))) 4. ==[ alpha ]==> ((((^x.x)((^y.y)(a a)))((^z.z)((^x1.x1)(a a))))((^y1.y1)((^z1.z1)(a a)))) 5. ==[ beta ]==> ((((^y.y)(a a))((^z.z)((^x1.x1)(a a))))((^y1.y1)((^z1.z1)(a a)))) 6. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)((^z.z)(a a))))((^x1.x1)((^y1.y1)(a a)))) 7. ==[ beta ]==> (((a a)((^y.y)((^z.z)(a a))))((^x1.x1)((^y1.y1)(a a)))) 8. ==[ alpha ]==> (((a a)((^x.x)((^y.y)(a a))))((^z.z)((^x1.x1)(a a)))) 9. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.z)((^x1.x1)(a a)))) 10. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.y)((^z.z)(a a)))) 11. ==[ beta ]==> (((a a)(a a))((^y.y)((^z.z)(a a)))) 12. ==[ alpha ]==> (((a a)(a a))((^x.x)((^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. ------ 42005/2798271. ------ 1. ==[ start ]==> ((a ((a a) a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.((^y.y)(a a)))) 3. ==[ beta ]==> ((a ((a a) a))(^x.(a a))) REDUCED to normal form. ------ 42006/2798601. ------ 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. ------ 42007/2798703. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(^y.(^z.(y y)))) 3. ==[ beta ]==> (((a (a a)) a)(^y.(^z.(y y)))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.(x x)))) REDUCED to normal form. ------ 42008/2798781. ------ 1. ==[ start ]==> ((^a.(a b))((^b.(^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. ------ 42009/2799168. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (a a))((^z.z) a))) 3. ==[ beta ]==> (^y.(((a (a a))((^z.z) a))((a (a a))((^z.z) a)))) 4. ==[ alpha ]==> (^x.(((a (a a))((^y.y) a))((a (a a))((^z.z) a)))) 5. ==[ beta ]==> (^x.(((a (a a)) a)((a (a a))((^z.z) a)))) 6. ==[ alpha ]==> (^x.(((a (a a)) a)((a (a a))((^y.y) a)))) 7. ==[ beta ]==> (^x.(((a (a a)) a)((a (a a)) a))) REDUCED to normal form. ------ 42010/2799270. ------ 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. ------ 42011/2799375. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.a)(a (a a)))((^z.a)(a (a a))))) 4. ==[ alpha ]==> ((^x.x)(((^y.a)(a (a a)))((^z.a)(a (a a))))) 5. ==[ beta ]==> (((^y.a)(a (a a)))((^z.a)(a (a a)))) 6. ==[ alpha ]==> (((^x.a)(a (a a)))((^y.a)(a (a a)))) 7. ==[ beta ]==> (a ((^y.a)(a (a a)))) 8. ==[ alpha ]==> (a ((^x.a)(a (a a)))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 42012/2799603. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.((z z) z))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.((z z) z))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.((y y) y))) 5. ==[ beta ]==> ((a a)(^y.((y y) y))) 6. ==[ alpha ]==> ((a a)(^x.((x x) x))) REDUCED to normal form. ------ 42013/2799891. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(^b.((^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))(^x.(^z.z))) 6. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 42014/2800026. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(^b.(^b.(^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. ------ 42015/2800260. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 42016/2800368. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^c.d)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.d)) 3. ==[ beta ]==> ((a (^y.b))(^z.d)) 4. ==[ alpha ]==> ((a (^x.b))(^y.d)) REDUCED to normal form. ------ 42017/2800386. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.(y (y y)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.(y (y y)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(x (x x)))) REDUCED to normal form. ------ 42018/2800467. ------ 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 (^x.a)) REDUCED to normal form. ------ 42019/2800566. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^y.a)) REDUCED to normal form. ------ 42020/2800647. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(^x.(^y.a))) REDUCED to normal form. ------ 42021/2800728. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^a.(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.(^z.y))) 3. ==[ beta ]==> (((a b) a)(^y.(^z.y))) 4. ==[ alpha ]==> (((a b) a)(^x.(^y.x))) REDUCED to normal form. ------ 42022/2800782. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(a (^z.z)))) REDUCED to normal form. ------ 42023/2800806. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(^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. ------ 42024/2800980. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^a.a)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.z)) 3. ==[ beta ]==> (b (^z.z)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 42025/2800992. ------ 1. ==[ start ]==> ((a a)((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((a a)((^x.b)(^y.(y y)))) 3. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 42026/2801046. ------ 1. ==[ start ]==> ((a b)((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 42027/2801100. ------ 1. ==[ start ]==> (((a a)(a a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.(a a)))) 3. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 42028/2801136. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b ((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^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. ------ 42029/2801163. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(a (b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(a (b a))) 3. ==[ beta ]==> ((^y.y)(a (b a))) 4. ==[ alpha ]==> ((^x.x)(a (b a))) 5. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 42030/2801190. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 42031/2801217. ------ 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)(((^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. ------ 42032/2801226. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(a a)) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 42033/2801244. ------ 1. ==[ start ]==> ((a (^b.a))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.a))((a b)((^y.y) a))) 3. ==[ beta ]==> ((a (^x.a))((a b) a)) REDUCED to normal form. ------ 42034/2801325. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (a a))((a a) a))) 3. ==[ beta ]==> ((^y.a)((a (a a))((a a) a))) 4. ==[ alpha ]==> ((^x.a)((a (a a))((a a) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 42035/2801352. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(a b))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(a b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a b))) 5. ==[ beta ]==> (((^y.y) a)(a b)) 6. ==[ alpha ]==> (((^x.x) a)(a b)) 7. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 42036/2801406. ------ 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. ------ 42037/2801442. ------ 1. ==[ start ]==> (((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))) REDUCED to normal form. ------ 42038/2801469. ------ 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 (^x.x))((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 42039/2801505. ------ 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) 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. ------ 42040/2801559. ------ 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. ------ 42041/2801586. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(x x))((a a) a))) 3. ==[ beta ]==> ((a (a (a a)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 42042/2801658. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a b)((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 42043/2801685. ------ 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. ------ 42044/2801712. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(a a)) b)) 3. ==[ beta ]==> (((a a)(^x.(x x)))((a a) b)) REDUCED to normal form. ------ 42045/2801739. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a b) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a b) c)) REDUCED to normal form. ------ 42046/2801856. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.a)(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)(^z.b))) 5. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 42047/2801883. ------ 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. ------ 42048/2801946. ------ 1. ==[ start ]==> (((^a.a)(^b.(^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. ------ 42049/2801973. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 42050/2802027. ------ 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)(^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. ------ 42051/2802081. ------ 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)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)((a a) a))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)((a a) a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)((a a) a))) 7. ==[ beta ]==> (((^y.y) a)((a a) a)) 8. ==[ alpha ]==> (((^x.x) a)((a a) a)) 9. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 42052/2802108. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a (^z.z))(a b))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(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. ------ 42053/2802171. ------ 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. ------ 42054/2802198. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a b)(^a.(^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. ------ 42055/2802261. ------ 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. ------ 42056/2802288. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a a)((^y.(y y))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.(x x))((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((^y.y)(^z.z)))) 8. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 9. ==[ beta ]==> ((a a)((^y.y)((^z.z)(^x1.x1)))) 10. ==[ alpha ]==> ((a a)((^x.x)((^y.y)(^z.z)))) 11. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 12. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 13. ==[ beta ]==> ((a a)(^y.y)) 14. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 42057/2802315. ------ 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. ------ 42058/2802342. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.(^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. ------ 42059/2802369. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.x)((^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. ------ 42060/2802567. ------ 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. ------ 42061/2802603. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(a a)) a)) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(a a)) a)) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(a a)) a)) 5. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 42062/2802621. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a b)(a a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a b)(a a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a b)(a a))) 5. ==[ beta ]==> ((a ((^y.y) a))((a b)(a a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a b)(a a))) 7. ==[ beta ]==> ((a a)((a b)(a a))) REDUCED to normal form. ------ 42063/2802630. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.b) b)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.b) b)) 3. ==[ beta ]==> (((a (a a))(^x.a)) b) REDUCED to normal form. ------ 42064/2802702. ------ 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. ------ 42065/2802774. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(b (^y.b))) 3. ==[ beta ]==> ((a (a (a a)))(b (^y.b))) 4. ==[ alpha ]==> ((a (a (a a)))(b (^x.b))) REDUCED to normal form. ------ 42066/2802801. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(a (^y.(a a)))) 3. ==[ beta ]==> (((a (a a)) a)(a (^y.(a a)))) 4. ==[ alpha ]==> (((a (a a)) a)(a (^x.(a a)))) REDUCED to normal form. ------ 42067/2802828. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.b)(a a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.b)(a a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.b)(a a))) 5. ==[ beta ]==> ((a (^y.y))((^z.b)(a a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.b)(a a))) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 42068/2802873. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a)(^a.a))(^b.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. ------ 42069/2802882. ------ 1. ==[ start ]==> ((a (a b))((^b.(^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. ------ 42070/2803035. ------ 1. ==[ start ]==> ((((a a) a) b)(((a a) a) b)) REDUCED to normal form. ------ 42071/2803062. ------ 1. ==[ start ]==> (((a b) a)(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a b) a)(((^x.x)(^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. ------ 42072/2803161. ------ 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. ------ 42073/2803197. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.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. ------ 42074/2803242. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (b (((^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. ------ 42075/2803251. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 42076/2803269. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (a a))((^y.y) a))) 3. ==[ beta ]==> ((a (^x.(a a)))((a (a a)) a)) REDUCED to normal form. ------ 42077/2803341. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(b (^x1.a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(b (^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(b (^z.a))) 5. ==[ beta ]==> ((a (^y.y))(b (^z.a))) 6. ==[ alpha ]==> ((a (^x.x))(b (^y.a))) REDUCED to normal form. ------ 42078/2803368. ------ 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. ------ 42079/2803422. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 42080/2803440. ------ 1. ==[ start ]==> (((^a.b) b)((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 42081/2803449. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(x x))((^y.y) a))) 3. ==[ beta ]==> (((a b)(a a))(((^y.y) a)((^y.y) a))) 4. ==[ alpha ]==> (((a b)(a a))(((^x.x) 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. ------ 42082/2803476. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.a)(a (a a)))) 3. ==[ beta ]==> ((a (a a))((^y.a)(a (a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.a)(a (a a)))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 42083/2803647. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 42084/2803701. ------ 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. ------ 42085/2803710. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^c.a) a)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a) a)) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 42086/2803728. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^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. ------ 42087/2803737. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.(^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. ------ 42088/2803782. ------ 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)((^y1.y1) a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1) a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a)((^z1.z1) a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1) a)((^z1.z1) a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1) a))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)((^y1.y1) a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)((^x1.x1) a))) 9. ==[ beta ]==> ((^y.y)(((^z.z) a)((^x1.x1) a))) 10. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z) a))) 11. ==[ beta ]==> (((^y.y) a)((^z.z) a)) 12. ==[ alpha ]==> (((^x.x) a)((^y.y) a)) 13. ==[ beta ]==> (a ((^y.y) a)) 14. ==[ alpha ]==> (a ((^x.x) a)) 15. ==[ beta ]==> (a a) REDUCED to normal form. ------ 42089/2803872. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 42090/2803899. ------ 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. ------ 42091/2803935. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)((^y.y) a))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 42092/2803962. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(^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. ------ 42093/2803989. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.x)((^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. ------ 42094/2804016. ------ 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))(^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. ------ 42095/2804043. ------ 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.(^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. ------ 42096/2804070. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.a)(^z.a))) 3. ==[ beta ]==> ((((a a) a) a)((^y.a)(^z.a))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.a)(^y.a))) 5. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 42097/2804088. ------ 1. ==[ start ]==> (((^a.b) c)((a (^a.a)) d)) 2. ==[ alpha ]==> (((^x.b) c)((a (^y.y)) d)) 3. ==[ beta ]==> (b ((a (^y.y)) d)) 4. ==[ alpha ]==> (b ((a (^x.x)) d)) REDUCED to normal form. ------ 42098/2804097. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 42099/2804124. ------ 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)))) 5. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 42100/2804187. ------ 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. ------ 42101/2804322. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(c c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(c c)) 3. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 42102/2804331. ------ 1. ==[ start ]==> (((a b) c)((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b) c)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 42103/2804358. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 42104/2804385. ------ 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. ------ 42105/2804439. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a (^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (^z.z)) c)) REDUCED to normal form. ------ 42106/2804484. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.(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. ------ 42107/2804520. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a) b)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a) b)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 42108/2804565. ------ 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))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 42109/2804601. ------ 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)(^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. ------ 42110/2804628. ------ 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.(^y1.y1)))) REDUCED to normal form. ------ 42111/2804664. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((^z.z) a)) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.y) a)) 5. ==[ beta ]==> (((a a)((a a)(^x.x))) a) REDUCED to normal form. ------ 42112/2804691. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a)(^z.z))) 5. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 42113/2804718. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(^a.a))(^a.(^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. ------ 42114/2804745. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.x)(^y.a))) 3. ==[ beta ]==> (((a (a a))((a a) a))(^y.a)) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.a)) REDUCED to normal form. ------ 42115/2804799. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(b (^x.(^y.y)))) REDUCED to normal form. ------ 42116/2804826. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(a (^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(a (^y.a))) 3. ==[ beta ]==> (((a b) a)(a (^y.a))) 4. ==[ alpha ]==> (((a b) a)(a (^x.a))) REDUCED to normal form. ------ 42117/2804853. ------ 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))(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. ------ 42118/2804880. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.y)(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. ------ 42119/2804907. ------ 1. ==[ start ]==> ((a (b a))((^a.(^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. ------ 42120/2804997. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(b a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(b a)) 3. ==[ beta ]==> (((^y.b)(^y.b))(b a)) 4. ==[ alpha ]==> (((^x.b)(^y.b))(b a)) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 42121/2805078. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(a a)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(a a)) 3. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 42122/2809179. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a))) b) 2. ==[ alpha ]==> (((^x.b)(^y.(y y))) b) 3. ==[ beta ]==> (b b) REDUCED to normal form. ------ 42123/2809203. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 42124/2809284. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))(^y1.b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 42125/2809377. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^a.(b a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.(b y))) 3. ==[ eta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 42126/2809620. ------ 1. ==[ start ]==> (((a a)(^b.a))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 42127/2809689. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 42128/2809881. ------ 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 ]==> (((^y.y)(^y.y))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(^y.((a a)(^z.z)))) 7. ==[ beta ]==> (^y.((a a)(^z.z))) 8. ==[ alpha ]==> (^x.((a a)(^y.y))) REDUCED to normal form. ------ 42129/2810013. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 42130/2810349. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.a))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.a))(^y.((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.a))(^y.(a a))) REDUCED to normal form. ------ 42131/2810571. ------ 1. ==[ start ]==> ((^a.((a a) a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((a a)(^y.(a a)))) 3. ==[ beta ]==> ((((a a)(^y.(a a)))((a a)(^y.(a a))))((a a)(^y.(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.(a a)))((a a)(^y.(a a))))((a a)(^z.(a a)))) REDUCED to normal form. ------ 42132/2810808. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.((^z.z)(y y)))) 5. ==[ beta ]==> ((a (^x.(x x)))(^y.(y y))) REDUCED to normal form. ------ 42133/2811084. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a)(^a.a))(^b.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. ------ 42134/2811402. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(x1 b))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.(x1 b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(z b))) 5. ==[ beta ]==> ((^y.a)(^z.(z b))) 6. ==[ alpha ]==> ((^x.a)(^y.(y b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 42135/2811678. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((((^z.z) a)(^x1.(x1 x1)))(((^z.z) a)(^x1.(x1 x1))))) 4. ==[ alpha ]==> ((^x.x)((((^y.y) a)(^z.(z z)))(((^x1.x1) a)(^y1.(y1 y1))))) 5. ==[ beta ]==> ((((^y.y) a)(^z.(z z)))(((^x1.x1) a)(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z) a)(^x1.(x1 x1)))) 7. ==[ beta ]==> ((a (^y.(y y)))(((^z.z) a)(^x1.(x1 x1)))) 8. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)(^z.(z z)))) 9. ==[ beta ]==> ((a (^x.(x x)))(a (^z.(z z)))) 10. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.(y y)))) REDUCED to normal form. ------ 42136/2811906. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.a))) 5. ==[ beta ]==> ((a a)(^y.(^z.a))) 6. ==[ alpha ]==> ((a a)(^x.(^y.a))) REDUCED to normal form. ------ 42137/2811915. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.((y y) y))) REDUCED to normal form. ------ 42138/2812050. ------ 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))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 42139/2812068. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^a.(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(^x1.z))) 3. ==[ beta ]==> (b (^z.(^x1.z))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 42140/2812353. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((((^z.(^x1.x1)) a)((^z.(^x1.x1)) a))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.y)) a)((^z.(^x1.x1)) a))(^y1.y1)) 5. ==[ beta ]==> (((^y.y)((^z.(^x1.x1)) a))(^y1.y1)) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(^x1.x1)) 7. ==[ beta ]==> (((^y.(^z.z)) a)(^x1.x1)) 8. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.z)) 9. ==[ beta ]==> ((^y.y)(^z.z)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 42141/2812689. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 42142/2812779. ------ 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))(^y.a)) REDUCED to normal form. ------ 42143/2813031. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^b.c)) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.c)) 3. ==[ beta ]==> (((a b) a)(^y.c)) 4. ==[ alpha ]==> (((a b) a)(^x.c)) REDUCED to normal form. ------ 42144/2813109. ------ 1. ==[ start ]==> ((^a.(b a))((a (^a.a)) a)) 2. ==[ alpha ]==> ((^x.(b x))((a (^y.y)) a)) 3. ==[ eta ]==> (b ((a (^y.y)) a)) 4. ==[ alpha ]==> (b ((a (^x.x)) a)) REDUCED to normal form. ------ 42145/2813202. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^a.(^a.(^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. ------ 42146/2813283. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 42147/2813313. ------ 1. ==[ start ]==> ((a (^a.a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 42148/2813367. ------ 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))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 42149/2813394. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.b)(^x1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(^x1.b))) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 42150/2813457. ------ 1. ==[ start ]==> (((a a) b)(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(b ((a a)(^x.x)))) REDUCED to normal form. ------ 42151/2813484. ------ 1. ==[ start ]==> (((a (^a.a)) a)(a (b a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(a (b a))) REDUCED to normal form. ------ 42152/2813511. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z))(a a))) REDUCED to normal form. ------ 42153/2813538. ------ 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 (^x.x))(^y.y))((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(a (^z.z)))) REDUCED to normal form. ------ 42154/2813592. ------ 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 a)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a (a a)))) 5. ==[ beta ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 42155/2813673. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) a)(a b))) 3. ==[ beta ]==> (((a (^x.x)) b)(a (a b))) REDUCED to normal form. ------ 42156/2813700. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a a)((a (^y.y))((^z.z)(a a)))) 4. ==[ alpha ]==> ((a a)((a (^x.x))((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)((a (^x.x))(a a))) REDUCED to normal form. ------ 42157/2813718. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)(b (^y.(^z.z)))) 5. ==[ beta ]==> (a (b (^y.(^z.z)))) 6. ==[ alpha ]==> (a (b (^x.(^y.y)))) REDUCED to normal form. ------ 42158/2813727. ------ 1. ==[ start ]==> (((a a)(^b.a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 42159/2813799. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 42160/2813817. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a b)(^b.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. ------ 42161/2813844. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a) a)(^z.(z z)))) REDUCED to normal form. ------ 42162/2813871. ------ 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. ------ 42163/2813907. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(z z))((a a) a))) 3. ==[ beta ]==> ((^y.(y y))((^z.(z z))((a a) a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(y y))((a a) a))) 5. ==[ beta ]==> (((^y.(y y))((a a) a))((^y.(y y))((a a) a))) 6. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(y y))((a a) a))) 7. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(y y))((a a) a))) 8. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(x x))((a a) a))) 9. ==[ beta ]==> ((((a a) a)((a a) a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 42164/2813934. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.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. ------ 42165/2813988. ------ 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 ]==> (((^y.y)(^y.y))((^z.z)((a a)(^x1.x1)))) 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. ------ 42166/2814042. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.(a a))(^a.(^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. ------ 42167/2814123. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.(^a.a))(^b.(^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. ------ 42168/2814213. ------ 1. ==[ start ]==> (((^a.(a a)) b)(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(b ((^y.y)(a a)))) 3. ==[ beta ]==> ((b b)(b ((^y.y)(a a)))) 4. ==[ alpha ]==> ((b b)(b ((^x.x)(a a)))) 5. ==[ beta ]==> ((b b)(b (a a))) REDUCED to normal form. ------ 42169/2814348. ------ 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. ------ 42170/2814375. ------ 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)))) 7. ==[ beta ]==> (a ((a (a a))(^y.y))) 8. ==[ alpha ]==> (a ((a (a a))(^x.x))) REDUCED to normal form. ------ 42171/2814402. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 42172/2814429. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (^z.z))(a b))) REDUCED to normal form. ------ 42173/2814456. ------ 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. ------ 42174/2814546. ------ 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))) 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. ------ 42175/2814573. ------ 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))(^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)))) 5. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.(z z))) 6. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(y y))) REDUCED to normal form. ------ 42176/2814600. ------ 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.(^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. ------ 42177/2814654. ------ 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))) REDUCED to normal form. ------ 42178/2814681. ------ 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. ------ 42179/2814717. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.z))) 5. ==[ beta ]==> ((^y.(a a))(^z.z)) 6. ==[ alpha ]==> ((^x.(a a))(^y.y)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 42180/2814771. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.a)(^b.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. ------ 42181/2814852. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a) a)((^y.a)(^z.a))) 4. ==[ alpha ]==> (((a a) a)((^x.a)(^y.a))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 42182/2814879. ------ 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.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. ------ 42183/2814888. ------ 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. ------ 42184/2814915. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(a ((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(a ((^y.y)(a a)))) 5. ==[ beta ]==> ((a (^x.(x x)))(a (a a))) REDUCED to normal form. ------ 42185/2814942. ------ 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. ------ 42186/2814969. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a) a)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a) a)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(a (^z.z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 42187/2814996. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((^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. ------ 42188/2815140. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a b)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a b)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a b)(^z.z))) 5. ==[ beta ]==> ((a (^y.y))((a b)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((a b)(^y.y))) REDUCED to normal form. ------ 42189/2815167. ------ 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. ------ 42190/2815194. ------ 1. ==[ start ]==> ((a (a b))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (a b))(((^x.x)(^y.y))(^z.a))) 3. ==[ beta ]==> ((a (a b))((^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. ------ 42191/2815203. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.(^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. ------ 42192/2815284. ------ 1. ==[ start ]==> (((^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) 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. ------ 42193/2815365. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 42194/2815392. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.(^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. ------ 42195/2815419. ------ 1. ==[ start ]==> (((^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 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. ------ 42196/2815455. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(c ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(c ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(c ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(c (^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(c (^z.z))) REDUCED to normal form. ------ 42197/2815482. ------ 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. ------ 42198/2815509. ------ 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 REDUCED to normal form. ------ 42199/2815536. ------ 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. ------ 42200/2815563. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.x))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> (((a b)(^x.x))(a (^z.z))) 6. ==[ alpha ]==> (((a b)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 42201/2815707. ------ 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. ------ 42202/2815734. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 42203/2815761. ------ 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. ------ 42204/2815788. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> ((a (a a))(a (^y.(y y)))) 6. ==[ alpha ]==> ((a (a a))(a (^x.(x x)))) REDUCED to normal form. ------ 42205/2815797. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)(a (a a)))) 3. ==[ beta ]==> ((^y.(a a))((^z.a)(a (a a)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.a)(a (a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 42206/2815824. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 42207/2815878. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.z1))) 5. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.z1))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.z))) 7. ==[ beta ]==> ((^y.a)(^z.z)) 8. ==[ alpha ]==> ((^x.a)(^y.y)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 42208/2815959. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 42209/2815968. ------ 1. ==[ start ]==> (((a b) b)(c (a (a a)))) REDUCED to normal form. ------ 42210/2815995. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a) a)(b ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a) a)(b ((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a a) a)(b (^y.y))) 6. ==[ alpha ]==> (((a a) a)(b (^x.x))) REDUCED to normal form. ------ 42211/2816022. ------ 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. ------ 42212/2816049. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((^x1.x1)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)(a a))) 5. ==[ beta ]==> (((a (^x.x))(^y.b))(a a)) REDUCED to normal form. ------ 42213/2816103. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z) a)((^x1.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. ------ 42214/2816130. ------ 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 (^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z))(a (a a)))) 5. ==[ beta ]==> ((^y.(y y))((a (^z.z))(a (a a)))) 6. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(a (a a)))) 7. ==[ beta ]==> (((a (^y.y))(a (a a)))((a (^y.y))(a (a a)))) 8. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 42215/2816157. ------ 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)))) 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. ------ 42216/2816175. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(a (^c.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(a (^z.a))) 3. ==[ beta ]==> (b (a (^z.a))) 4. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 42217/2816247. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) 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. ------ 42218/2816274. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 42219/2816301. ------ 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. ------ 42220/2816328. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((^z.z)(^x1.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. ------ 42221/2816355. ------ 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. ------ 42222/2816400. ------ 1. ==[ start ]==> (((^a.b) c)(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) c)(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. ------ 42223/2816463. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 42224/2816634. ------ 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)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 42225/2816643. ------ 1. ==[ start ]==> (((a b) c)(c c)) REDUCED to normal form. ------ 42226/2816715. ------ 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))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^z.z))) 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. ------ 42227/2816742. ------ 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)(^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. ------ 42228/2816751. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(c (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(c (a (^z.z)))) REDUCED to normal form. ------ 42229/2816778. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(b ((^z.z) a))) 3. ==[ beta ]==> ((a (^y.b))(b ((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.b))(b ((^y.y) a))) 5. ==[ beta ]==> ((a (^x.b))(b a)) REDUCED to normal form. ------ 42230/2816796. ------ 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 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. ------ 42231/2816832. ------ 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. ------ 42232/2816859. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 42233/2816877. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(b (^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(b (^z.a))) 3. ==[ beta ]==> (b (b (^z.a))) 4. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 42234/2816886. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 42235/2816976. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a a)(^y.a))) REDUCED to normal form. ------ 42236/2817003. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((^z.z) a) a)) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z) a) a)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) a) a)) 5. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 42237/2817030. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a (^y.y)) b)) 3. ==[ beta ]==> ((a (a b))((a (^y.y)) b)) 4. ==[ alpha ]==> ((a (a b))((a (^x.x)) b)) REDUCED to normal form. ------ 42238/2817084. ------ 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) 11. ==[ beta ]==> a REDUCED to normal form. ------ 42239/2817111. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(^y.y)) b)) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 42240/2817138. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.a) c)) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 42241/2817165. ------ 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))) REDUCED to normal form. ------ 42242/2817192. ------ 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. ------ 42243/2817219. ------ 1. ==[ start ]==> ((a (b a))((a (^a.a)) a)) 2. ==[ alpha ]==> ((a (b a))((a (^x.x)) a)) REDUCED to normal form. ------ 42244/2817309. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(a (^a.(^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. ------ 42245/2817390. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(a (^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(a (^z.z))) 3. ==[ beta ]==> (b (a (^z.z))) 4. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 42246/2818356. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.((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. ------ 42247/2820570. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^z.((^x1.x1)(^y1.y1)))(^z.((^x1.x1)(^y1.y1))))(^y.y)) 4. ==[ alpha ]==> (((^x.((^y.y)(^z.z)))(^x1.((^y1.y1)(^z1.z1))))(^x2.x2)) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x2.x2)) 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. ------ 42248/2821326. ------ 1. ==[ start ]==> ((^a.(b a))(^a.c)) 2. ==[ alpha ]==> ((^x.(b x))(^y.c)) 3. ==[ eta ]==> (b (^y.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 42249/2821500. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a))) c) 2. ==[ alpha ]==> (((^x.b)(^y.(y y))) c) 3. ==[ beta ]==> (b c) REDUCED to normal form. ------ 42250/2821776. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.(a a)) c)) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(a a)) c)) 3. ==[ beta ]==> (^y.((^z.(a a)) c)) 4. ==[ alpha ]==> (^x.((^y.(a a)) c)) 5. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 42251/2821848. ------ 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)(^z1.z1)))) 3. ==[ eta ]==> ((^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. ------ 42252/2822019. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a)(a a))(^a.(^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. ------ 42253/2822220. ------ 1. ==[ start ]==> (((a (a a)) a)(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 42254/2822469. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(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. ------ 42255/2822472. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 42256/2823138. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 42257/2823732. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(^y1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.(^y1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.z))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.z))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 42258/2823801. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.(^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. ------ 42259/2824245. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.a))) REDUCED to normal form. ------ 42260/2824407. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^a.(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 42261/2824683. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a ((^z.z)(^x1.x1)))(a ((^z.z)(^x1.x1))))(^y.y)) 4. ==[ alpha ]==> (((a ((^x.x)(^y.y)))(a ((^z.z)(^x1.x1))))(^y1.y1)) 5. ==[ beta ]==> (((a (^y.y))(a ((^z.z)(^x1.x1))))(^y1.y1)) 6. ==[ alpha ]==> (((a (^x.x))(a ((^y.y)(^z.z))))(^x1.x1)) 7. ==[ beta ]==> (((a (^x.x))(a (^z.z)))(^x1.x1)) 8. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 42262/2824686. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 42263/2824920. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^b.(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(a (a a)))) REDUCED to normal form. ------ 42264/2825136. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 42265/2825307. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.((^z1.z1) y1))) 3. ==[ eta ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^z1.z1)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.y1)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.y1)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.x1)) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 9. ==[ beta ]==> ((^y.y)(^z.z)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 42266/2825361. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 42267/2825439. ------ 1. ==[ start ]==> ((^a.(b a))(a c)) 2. ==[ alpha ]==> ((^x.(b x))(a c)) 3. ==[ eta ]==> (b (a c)) REDUCED to normal form. ------ 42268/2825442. ------ 1. ==[ start ]==> ((a (b a))(^a.c)) 2. ==[ alpha ]==> ((a (b a))(^x.c)) REDUCED to normal form. ------ 42269/2825532. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^b.b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.z)) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.z)) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.z)) 5. ==[ beta ]==> (b (^z.z)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 42270/2825613. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^b.a)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.a)) 3. ==[ beta ]==> (b (^z.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 42271/2825661. ------ 1. ==[ start ]==> (((^a.a) a)((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (a ((^y.b)(^z.(z z)))) 4. ==[ alpha ]==> (a ((^x.b)(^y.(y y)))) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 42272/2825715. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.(^a.a))(^c.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. ------ 42273/2825742. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(y y))(^z.b))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.b))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.b))) 5. ==[ beta ]==> (b ((^y.b)(^y.b))) 6. ==[ alpha ]==> (b ((^x.b)(^y.b))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 42274/2825769. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((^y.a)(^z.(a a))) 6. ==[ alpha ]==> ((^x.a)(^y.(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 42275/2825796. ------ 1. ==[ start ]==> (((a a) b)((^a.(^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. ------ 42276/2825895. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(a a)) c)) 2. ==[ alpha ]==> ((a (^x.a))((^y.(a a)) c)) 3. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 42277/2825913. ------ 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. ------ 42278/2825940. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 42279/2825967. ------ 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)(^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)((^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. ------ 42280/2826066. ------ 1. ==[ start ]==> (((a a)(^b.a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 42281/2826138. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a)(a a))(^a.(^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. ------ 42282/2826228. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 42283/2826273. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 42284/2826309. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(^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. ------ 42285/2826336. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.x)((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. ------ 42286/2826354. ------ 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. ------ 42287/2826381. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 42288/2826390. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 42289/2826417. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.b)(^b.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. ------ 42290/2826552. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(^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. ------ 42291/2826561. ------ 1. ==[ start ]==> (((a (a a))(a a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(b ((^x.x)(a a)))) 3. ==[ beta ]==> (((a (a a))(a a))(b (a a))) REDUCED to normal form. ------ 42292/2826588. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(a ((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^y.y))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 42293/2826597. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 42294/2826624. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 42295/2826795. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(b (^z.(a a)))) 3. ==[ beta ]==> ((a (^y.a))(b (^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.a))(b (^y.(a a)))) REDUCED to normal form. ------ 42296/2826849. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(a a))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(a a))) 5. ==[ beta ]==> ((^y.y)((^z.(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 a) REDUCED to normal form. ------ 42297/2827056. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 42298/2827110. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((a a) a) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((a a) a) c)) 3. ==[ beta ]==> (((^y.a)(^y.a))(((a a) a) c)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((a a) a) c)) 5. ==[ beta ]==> (a (((a a) a) c)) REDUCED to normal form. ------ 42299/2827146. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.(^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. ------ 42300/2827173. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(^z.z))(^y.(^z.z)))) 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. ------ 42301/2827227. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(^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. ------ 42302/2827254. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^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. ------ 42303/2827272. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(a a)) a)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(a a)) a)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(a a)) a)) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(a a)) a)) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a)) a)) 7. ==[ beta ]==> ((a a)((^y.(a a)) a)) 8. ==[ alpha ]==> ((a a)((^x.(a a)) a)) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 42304/2827371. ------ 1. ==[ start ]==> (((a a)((a a) a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 42305/2827398. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a ((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(a ((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a (^x.x))(^y.y))(a (^x1.x1))) 8. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.z))) REDUCED to normal form. ------ 42306/2827425. ------ 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. ------ 42307/2827452. ------ 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. ------ 42308/2827524. ------ 1. ==[ start ]==> (((^a.b) a)((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (b ((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> (b ((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 42309/2827542. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a)(^a.a))(^b.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. ------ 42310/2827686. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.b)(^y.y))) 3. ==[ beta ]==> ((((a a) a) b) b) REDUCED to normal form. ------ 42311/2827704. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((a a) a) b)) 3. ==[ beta ]==> (b (((a a) a) b)) REDUCED to normal form. ------ 42312/2827713. ------ 1. ==[ start ]==> (((a b) a)((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 42313/2827731. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> ((a b)(((^y.y)(^z.z)) c)) 4. ==[ alpha ]==> ((a b)(((^x.x)(^y.y)) c)) 5. ==[ beta ]==> ((a b)((^y.y) c)) 6. ==[ alpha ]==> ((a b)((^x.x) c)) 7. ==[ beta ]==> ((a b) c) REDUCED to normal form. ------ 42314/2827740. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.(^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. ------ 42315/2827794. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 42316/2827848. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)(^x1.b))) 5. ==[ beta ]==> ((^y.a)((^z.z)(^x1.b))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(^z.b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 42317/2827893. ------ 1. ==[ start ]==> (((^a.b)(a a))((^c.a) b)) 2. ==[ alpha ]==> (((^x.b)(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. ------ 42318/2827920. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.(^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. ------ 42319/2827938. ------ 1. ==[ start ]==> (((a a)(a b))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a b))((a (a a))((^x.x) a))) 3. ==[ beta ]==> (((a a)(a b))((a (a a)) a)) REDUCED to normal form. ------ 42320/2827965. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(a (a (a a)))) REDUCED to normal form. ------ 42321/2827992. ------ 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))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))((a (^y.y))(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 42322/2828019. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a a)((a a) a))) REDUCED to normal form. ------ 42323/2828091. ------ 1. ==[ start ]==> (((^a.b) b)((^b.(^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. ------ 42324/2828136. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 42325/2828163. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (^a.a))(^b.(^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. ------ 42326/2828217. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a) a) a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a) a) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((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. ------ 42327/2828307. ------ 1. ==[ start ]==> (((a b) b)((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b) b)((^x.a)(^y.(y y)))) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 42328/2828334. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 42329/2828361. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.a)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.a)) REDUCED to normal form. ------ 42330/2828379. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^c.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 42331/2828496. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 42332/2828523. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(a (^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 42333/2828550. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a a))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 42334/2828613. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(c d)) 2. ==[ alpha ]==> (((a (^x.x))(a b))(c d)) REDUCED to normal form. ------ 42335/2828739. ------ 1. ==[ start ]==> (((^a.b) c)((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b) c)((^y.a)(^z.a))) 3. ==[ beta ]==> (b ((^y.a)(^z.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 42336/2828748. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(c ((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(c ((^y.y) a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(c a)) REDUCED to normal form. ------ 42337/2828775. ------ 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. ------ 42338/2828802. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(a (^z.z))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (^y.y))) REDUCED to normal form. ------ 42339/2828838. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1)) 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. ------ 42340/2828973. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 42341/2828982. ------ 1. ==[ start ]==> (((a b) c)((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.a)(a (^y.y)))) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 42342/2829009. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 42343/2829036. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a (a a))) REDUCED to normal form. ------ 42344/2829054. ------ 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)) REDUCED to normal form. ------ 42345/2829081. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((^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. ------ 42346/2829090. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 42347/2829117. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 42348/2829216. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (b ((^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. ------ 42349/2829225. ------ 1. ==[ start ]==> (((a b)(^b.a))(b (^b.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(b (^y.a))) REDUCED to normal form. ------ 42350/2829252. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 42351/2829279. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.a)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 42352/2829315. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(b c)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(b c)) REDUCED to normal form. ------ 42353/2829369. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(c (a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(c (a a))) 3. ==[ beta ]==> ((a (a b))(c (a a))) REDUCED to normal form. ------ 42354/2829396. ------ 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. ------ 42355/2829423. ------ 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.y1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(a ((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a ((^x1.x1) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a ((^x1.x1) a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a ((^z.z) a))) 7. ==[ beta ]==> ((^y.y)(a ((^z.z) 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. ------ 42356/2829450. ------ 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))) REDUCED to normal form. ------ 42357/2829477. ------ 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. ------ 42358/2829531. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(b b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(b b)) REDUCED to normal form. ------ 42359/2829558. ------ 1. ==[ start ]==> ((a (b a))(a c)) REDUCED to normal form. ------ 42360/2829648. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.z) b)) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.z) b)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.z) b)) 5. ==[ beta ]==> (b ((^z.z) b)) 6. ==[ alpha ]==> (b ((^x.x) b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 42361/2829729. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.z) a)) 3. ==[ beta ]==> (b ((^z.z) a)) 4. ==[ alpha ]==> (b ((^x.x) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 42362/2829755. ------ 1. ==[ start ]==> (^a.((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (^x.((^y.(x x))(^z.x))) 3. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 42363/2829756. ------ 1. ==[ start ]==> (a ((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (a ((^x.(a a))(^y.a))) 3. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 42364/2830704. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 42365/2832918. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^b.(^b.(^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. ------ 42366/2833674. ------ 1. ==[ start ]==> ((^a.(b a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(a (^z.z)))) 3. ==[ eta ]==> (b (^y.(a (^z.z)))) 4. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 42367/2833881. ------ 1. ==[ start ]==> ((^a.a)((^b.(a a))(^b.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. ------ 42368/2833908. ------ 1. ==[ start ]==> ((^a.(a a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (((^y.b)(^z.(z z)))((^y.b)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.b)(^x1.(x1 x1)))) 5. ==[ beta ]==> (b ((^z.b)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (b ((^x.b)(^y.(y y)))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 42369/2833935. ------ 1. ==[ start ]==> ((^a.b)((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 42370/2834016. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((^z.a)(^x1.(a a)))(^y.y)) 4. ==[ alpha ]==> (((^x.a)(^y.(a a)))(^z.z)) 5. ==[ beta ]==> (a (^z.z)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 42371/2834082. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^a.(b a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(b z))) 3. ==[ eta ]==> (((^x.x)(a (^y.y))) b) 4. ==[ beta ]==> ((a (^y.y)) b) 5. ==[ alpha ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 42372/2834133. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (^y.(((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (^x.(((^y.y)(a a))(a (^z.z)))) 5. ==[ beta ]==> (^x.((a a)(a (^z.z)))) 6. ==[ alpha ]==> (^x.((a a)(a (^y.y)))) REDUCED to normal form. ------ 42373/2834475. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))((^x1.x1)(^y1.y1)))(((^y.(^z.z))((^x1.x1)(^y1.y1)))((^y.(^z.z))((^x1.x1)(^y1.y1))))) 4. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))((^z2.(^x3.x3))((^y3.y3)(^z3.z3))))) 5. ==[ beta ]==> ((^y.y)(((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))((^z2.(^x3.x3))((^y3.y3)(^z3.z3))))) 6. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))((^x1.x1)(^y1.y1)))((^z1.(^x2.x2))((^y2.y2)(^z2.z2))))) 7. ==[ beta ]==> (((^y.(^z.z))((^x1.x1)(^y1.y1)))((^z1.(^x2.x2))((^y2.y2)(^z2.z2)))) 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. ------ 42374/2834829. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 42375/2834838. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((x1 x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.((x1 x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((z z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 42376/2835258. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(^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. ------ 42377/2835513. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.((^x1.x1)(z z)))) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.((^x1.x1)(z z)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(^y.((^z.z)(y y)))) 7. ==[ beta ]==> ((a a)(^y.((^z.z)(y y)))) 8. ==[ alpha ]==> ((a a)(^x.((^y.y)(x x)))) 9. ==[ beta ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 42378/2835591. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 42379/2835720. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(^x1.(z z)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(z z)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(y y)))) REDUCED to normal form. ------ 42380/2835771. ------ 1. ==[ start ]==> ((^a.(a b))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((^y.a)(a (^z.z))) b) 4. ==[ alpha ]==> (((^x.a)(a (^y.y))) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 42381/2836158. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (^y.((((^z.z)(^x1.x1))(a (^y1.y1)))(((^z.z)(^x1.x1))(a (^y1.y1))))) 4. ==[ alpha ]==> (^x.((((^y.y)(^z.z))(a (^x1.x1)))(((^y1.y1)(^z1.z1))(a (^x2.x2))))) 5. ==[ beta ]==> (^x.(((^z.z)(a (^x1.x1)))(((^y1.y1)(^z1.z1))(a (^x2.x2))))) 6. ==[ alpha ]==> (^x.(((^y.y)(a (^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1))))) 7. ==[ beta ]==> (^x.((a (^z.z))(((^x1.x1)(^y1.y1))(a (^z1.z1))))) 8. ==[ alpha ]==> (^x.((a (^y.y))(((^z.z)(^x1.x1))(a (^y1.y1))))) 9. ==[ beta ]==> (^x.((a (^y.y))((^x1.x1)(a (^y1.y1))))) 10. ==[ alpha ]==> (^x.((a (^y.y))((^z.z)(a (^x1.x1))))) 11. ==[ beta ]==> (^x.((a (^y.y))(a (^x1.x1)))) 12. ==[ alpha ]==> (^x.((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 42382/2836287. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(^x1.(^y1.b))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(^x1.(^y1.b))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(^x1.b))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.b))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.b))) 7. ==[ beta ]==> (a (^y.(^z.b))) 8. ==[ alpha ]==> (a (^x.(^y.b))) REDUCED to normal form. ------ 42383/2836365. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(((^z.(z z))((^x1.x1) a))((^z.(z z))((^x1.x1) a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.(y y))((^z.z) a))((^x1.(x1 x1))((^y1.y1) a)))) 5. ==[ beta ]==> (((^y.(y y))((^z.z) a))((^x1.(x1 x1))((^y1.y1) a))) 6. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(z z))((^x1.x1) a))) 7. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(z z))((^x1.x1) a))) 8. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(z z))((^x1.x1) a))) 9. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))((^x1.x1) a))) 10. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))((^z.z) a))) 11. ==[ beta ]==> ((a a)((^y.(y y))((^z.z) a))) 12. ==[ alpha ]==> ((a a)((^x.(x x))((^y.y) a))) 13. ==[ beta ]==> ((a a)(((^y.y) a)((^y.y) a))) 14. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y) a))) 15. ==[ beta ]==> ((a a)(a ((^y.y) a))) 16. ==[ alpha ]==> ((a a)(a ((^x.x) a))) 17. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 42384/2836620. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^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. ------ 42385/2836755. ------ 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 (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 42386/2836908. ------ 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)(^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. ------ 42387/2837040. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^z.z)(^x1.(^y1.y1)))((^z.z)(^x1.(^y1.y1))))(^y.y)) 4. ==[ alpha ]==> ((((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1))))(^x2.x2)) 5. ==[ beta ]==> (((^y.(^z.z))((^x1.x1)(^y1.(^z1.z1))))(^x2.x2)) 6. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.(^y1.y1))))(^z1.z1)) 7. ==[ beta ]==> ((^y.y)(^z1.z1)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 42388/2837043. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 42389/2837583. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^y.a)) REDUCED to normal form. ------ 42390/2837664. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(^z1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.a))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.a))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 9. ==[ beta ]==> (^y.(^z.a)) 10. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 42391/2837745. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(^a.(^b.a))) 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. ------ 42392/2837796. ------ 1. ==[ start ]==> ((^a.(b a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.y)(a (^z.z)))) 3. ==[ eta ]==> (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. ------ 42393/2837799. ------ 1. ==[ start ]==> ((a (b a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((a (b a))(^x.(a (^y.y)))) REDUCED to normal form. ------ 42394/2837889. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^c.(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(a a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(a a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(a a))) 5. ==[ beta ]==> (b (^z.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 42395/2837970. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(z z))) 3. ==[ beta ]==> (b (^z.(z z))) 4. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 42396/2838009. ------ 1. ==[ start ]==> ((a a)((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((a a)((^x.(a a))(^y.a))) 3. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 42397/2838036. ------ 1. ==[ start ]==> ((a (a a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a a))((^x.b)(^y.(y y)))) 3. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 42398/2838063. ------ 1. ==[ start ]==> ((a b)((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 42399/2838117. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.b))) 3. ==[ beta ]==> (((a a)(a a))((^y.b)(^y.b))) 4. ==[ alpha ]==> (((a a)(a a))((^x.b)(^y.b))) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 42400/2838144. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 42401/2838180. ------ 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)(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. ------ 42402/2838207. ------ 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))) REDUCED to normal form. ------ 42403/2838234. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a a))) 5. ==[ beta ]==> (((a a)(^y.y))(a a)) 6. ==[ alpha ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 42404/2838261. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.a))((a a)(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.a))((a a)(a (^y.y)))) REDUCED to normal form. ------ 42405/2838342. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 42406/2838369. ------ 1. ==[ start ]==> (((^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) 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. ------ 42407/2838423. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y) a)((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((a (^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. ------ 42408/2838450. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a a)((a a)(^x1.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. ------ 42409/2838486. ------ 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))) REDUCED to normal form. ------ 42410/2838522. ------ 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) 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. ------ 42411/2838549. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 42412/2838594. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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)))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 42413/2838603. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 42414/2838675. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a (^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((a b)((a (^y.y))(^z.(a a)))) 4. ==[ alpha ]==> ((a b)((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 42415/2838729. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 42416/2838756. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z)(a a)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((a a) b)) REDUCED to normal form. ------ 42417/2838783. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a b) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a b) c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a b) c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a b) c)) REDUCED to normal form. ------ 42418/2838846. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.(^a.a))(^b.(^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. ------ 42419/2838900. ------ 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. ------ 42420/2838927. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.(^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. ------ 42421/2838963. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a ((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a ((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a ((a a)(^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 42422/2838990. ------ 1. ==[ start ]==> (((^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))) 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. ------ 42423/2839044. ------ 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.x1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)((^y1.y1) a))) 5. ==[ beta ]==> ((^y.y)(((a a) a)((^y1.y1) 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. ------ 42424/2839053. ------ 1. ==[ start ]==> (((a (a a)) b)((^c.a) d)) 2. ==[ alpha ]==> (((a (a a)) b)((^x.a) d)) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 42425/2839098. ------ 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. ------ 42426/2839125. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((a a) a))) 5. ==[ beta ]==> (((^y.y) a)((a a) a)) 6. ==[ alpha ]==> (((^x.x) a)((a a) a)) 7. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 42427/2839179. ------ 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)(a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)((^z.z)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a)(a a))) REDUCED to normal form. ------ 42428/2839215. ------ 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 a))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.z))) 7. ==[ beta ]==> (((^y.y)(a a))(^z.z)) 8. ==[ alpha ]==> (((^x.x)(a a))(^y.y)) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 42429/2839251. ------ 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)(^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. ------ 42430/2839305. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(a (a a)))) 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. ------ 42431/2839332. ------ 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. ------ 42432/2839359. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.a)((a a) a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a)((a a) a))) 5. ==[ beta ]==> ((a a)((^y.a)((a a) a))) 6. ==[ alpha ]==> ((a a)((^x.a)((a a) a))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 42433/2839386. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(^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. ------ 42434/2839638. ------ 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 ]==> ((((^y.y) a)((^y.y) a))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^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)))) 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. ------ 42435/2839647. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(a a)) a)) 3. ==[ beta ]==> (((a (a a))(^x.a))(a a)) REDUCED to normal form. ------ 42436/2839674. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.b) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.b) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b) b)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.b) b)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.b) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 42437/2839719. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.b))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.b))((^z.z) a)) 6. ==[ alpha ]==> ((a (^x.b))((^y.y) a)) 7. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 42438/2839818. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(b (^a.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(b (^y.b))) 3. ==[ beta ]==> (((a (a a)) a)(b (^y.b))) 4. ==[ alpha ]==> (((a (a a)) a)(b (^x.b))) REDUCED to normal form. ------ 42439/2839845. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(a (^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(a (^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(a (^z.(a a)))) 5. ==[ beta ]==> ((a (^y.y))(a (^z.(a a)))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.(a a)))) REDUCED to normal form. ------ 42440/2839872. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.b)(a a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.b)(a a))) 3. ==[ beta ]==> ((((a a) a)(a a)) b) REDUCED to normal form. ------ 42441/2839890. ------ 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. ------ 42442/2839899. ------ 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) REDUCED to normal form. ------ 42443/2840052. ------ 1. ==[ start ]==> ((((a a) a) b)((a b) a)) REDUCED to normal form. ------ 42444/2840079. ------ 1. ==[ start ]==> (((a b) a)(((a a) a) b)) REDUCED to normal form. ------ 42445/2840106. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> (((a a)(^x.b))((^z.z) c)) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.y) c)) 5. ==[ beta ]==> (((a a)(^x.b)) c) REDUCED to normal form. ------ 42446/2840241. ------ 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. ------ 42447/2840259. ------ 1. ==[ start ]==> (((^a.b)(a a))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.b)(a a))(((a a) a)(a a))) 3. ==[ beta ]==> (b (((a a) a)(a a))) REDUCED to normal form. ------ 42448/2840268. ------ 1. ==[ start ]==> (((a b)(^a.a))((^c.a) b)) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.a) b)) 3. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 42449/2840286. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(a a)))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.(a a)))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.y))) REDUCED to normal form. ------ 42450/2840385. ------ 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. ------ 42451/2840412. ------ 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. ------ 42452/2840457. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 42453/2840466. ------ 1. ==[ start ]==> (((a b)(a a))((^b.(^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. ------ 42454/2840493. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> ((a (a a))(((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> ((a (a a))(((^x.x) 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. ------ 42455/2840718. ------ 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. ------ 42456/2840745. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a 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. ------ 42457/2840754. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^c.a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 42458/2840799. ------ 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. ------ 42459/2840808. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.(a a)) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(z z)) c)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(c c)) REDUCED to normal form. ------ 42460/2840880. ------ 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)))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 42461/2840916. ------ 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)(^x.x))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 42462/2840952. ------ 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 (^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> (((a a)(a a))((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 42463/2840979. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 42464/2841006. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> ((a ((a a) a))(^y.y)) 6. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 42465/2841033. ------ 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))(^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. ------ 42466/2841060. ------ 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))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.z))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 42467/2841087. ------ 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))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a) a) a)((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((((a a) a) a)(^y.y)) 8. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 42468/2841105. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.b) c)(((^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. ------ 42469/2841114. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 42470/2841141. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 42471/2841168. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.a)(^b.(^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. ------ 42472/2841204. ------ 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))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a a))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 42473/2841348. ------ 1. ==[ start ]==> (((a b) c)(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(((^x.x) 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. ------ 42474/2841375. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 42475/2841402. ------ 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. ------ 42476/2841456. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z) a) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a b)) REDUCED to normal form. ------ 42477/2841483. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (^z.z)) c)) 3. ==[ beta ]==> ((a (^y.b))((a (^z.z)) c)) 4. ==[ alpha ]==> ((a (^x.b))((a (^y.y)) c)) REDUCED to normal form. ------ 42478/2841501. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(b ((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(b ((^y.y) a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(b ((^x.x) a))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(b a)) REDUCED to normal form. ------ 42479/2841537. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(y1 y1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1)) a)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1)) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z)) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 42480/2841564. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.a) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.a) b)) 3. ==[ beta ]==> ((((a a) a)(^x.(x x))) a) REDUCED to normal form. ------ 42481/2841582. ------ 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 (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 42482/2841591. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 42483/2841645. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a (^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (^z.z))) REDUCED to normal form. ------ 42484/2841681. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(^z.z))(a (^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. ------ 42485/2841708. ------ 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 (^x.x))(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))((^z.z) a)) 6. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y) a)) 7. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 42486/2841735. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 42487/2841762. ------ 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)))) 3. ==[ beta ]==> (((a (a a))((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.x)) REDUCED to normal form. ------ 42488/2841789. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.y1)(^z1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)(^z1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)(^y1.a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.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. ------ 42489/2841843. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(b (^y.(^z.z)))) 3. ==[ beta ]==> (((a b) a)(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((a b) a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 42490/2841870. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(a (^z.a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(a (^z.a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(a (^y.a))) REDUCED to normal form. ------ 42491/2841897. ------ 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)(^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 42492/2841924. ------ 1. ==[ start ]==> ((a (b a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (b a))((^x.x)(a (^y.y)))) 3. ==[ beta ]==> ((a (b a))(a (^y.y))) 4. ==[ alpha ]==> ((a (b a))(a (^x.x))) REDUCED to normal form. ------ 42493/2842014. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a a)(a a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a a)(a a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a a)(a a))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 42494/2842095. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(a (a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(a (a a))) 3. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 42495/2846049. ------ 1. ==[ start ]==> ((^a.(b a))(^c.(^a.(^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. ------ 42496/2846274. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 42497/2846355. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 42498/2846475. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(b z))) 3. ==[ eta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 42499/2846859. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.(^y1.y1)))((((^y.y)(^z.z))(^x1.(^y1.y1)))(((^y.y)(^z.z))(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))(((^z2.z2)(^x3.x3))(^y3.(^z3.z3))))) 5. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))(((^z2.z2)(^x3.x3))(^y3.(^z3.z3))))) 6. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))(((^y2.y2)(^z2.z2))(^x3.(^y3.y3))))) 7. ==[ beta ]==> ((^y.(^z.z))((((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))(((^y2.y2)(^z2.z2))(^x3.(^y3.y3))))) 8. ==[ alpha ]==> ((^x.(^y.y))((((^z.z)(^x1.x1))(^y1.(^z1.z1)))(((^x2.x2)(^y2.y2))(^z2.(^x3.x3))))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 42500/2846979. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.((a a)(^z.z)))) 3. ==[ beta ]==> ((a (a a))(^y.((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (a a))(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 42501/2847084. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 42502/2847222. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 42503/2847642. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.((x x) x))((a (^y.y))(^z.b))) 3. ==[ beta ]==> ((((a (^y.y))(^z.b))((a (^y.y))(^z.b)))((a (^y.y))(^z.b))) 4. ==[ alpha ]==> ((((a (^x.x))(^y.b))((a (^z.z))(^x1.b)))((a (^y1.y1))(^z1.b))) REDUCED to normal form. ------ 42504/2847681. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.y)(^y1.((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (^y.((^z.z)(a a))) 6. ==[ alpha ]==> (^x.((^y.y)(a a))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 42505/2847897. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(^x1.(a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.(^x1.(a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.(a a)))) 7. ==[ beta ]==> ((a a)(^y.(^z.(a a)))) 8. ==[ alpha ]==> ((a a)(^x.(^y.(a a)))) REDUCED to normal form. ------ 42506/2847906. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^y.(y y))) REDUCED to normal form. ------ 42507/2848155. ------ 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. ------ 42508/2848500. ------ 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. ------ 42509/2848749. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (a a))(^z.a))) 3. ==[ beta ]==> ((^y.y)(((a (a a))(^z.a))((a (a a))(^z.a)))) 4. ==[ alpha ]==> ((^x.x)(((a (a a))(^y.a))((a (a a))(^z.a)))) 5. ==[ beta ]==> (((a (a a))(^y.a))((a (a a))(^z.a))) 6. ==[ alpha ]==> (((a (a a))(^x.a))((a (a a))(^y.a))) REDUCED to normal form. ------ 42510/2848842. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.((a a) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.((a a) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((a a) a))) 5. ==[ beta ]==> ((^y.y)(^y1.((a a) a))) 6. ==[ alpha ]==> ((^x.x)(^y.((a a) a))) 7. ==[ beta ]==> (^y.((a a) a)) 8. ==[ alpha ]==> (^x.((a a) a)) REDUCED to normal form. ------ 42511/2849004. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^b.(^c.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. ------ 42512/2849013. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.((z z) z))) REDUCED to normal form. ------ 42513/2849148. ------ 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)))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 42514/2849679. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(a (a a)))) REDUCED to normal form. ------ 42515/2849796. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(y1 (y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(y1 (y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(x1 (x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 (x1 x1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (z z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 42516/2850129. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(^b.c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(^z.c)) 3. ==[ beta ]==> (((a a)(a (^y.y)))(^z.c)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.c)) REDUCED to normal form. ------ 42517/2850180. ------ 1. ==[ start ]==> ((^a.(b a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((a a)(^y.(^z.z)))) 3. ==[ eta ]==> (b ((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 42518/2850183. ------ 1. ==[ start ]==> ((a (b a))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 42519/2850354. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 42520/2850411. ------ 1. ==[ start ]==> ((a (^a.a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 42521/2850438. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(z z)))) 5. ==[ beta ]==> ((^y.b)(^z.(z z))) 6. ==[ alpha ]==> ((^x.b)(^y.(y y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 42522/2850492. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 42523/2850546. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 42524/2850555. ------ 1. ==[ start ]==> (((a a) b)(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a) b)(c ((^x.x)(a a)))) 3. ==[ beta ]==> (((a a) b)(c (a a))) REDUCED to normal form. ------ 42525/2850582. ------ 1. ==[ start ]==> (((a (^a.a)) a)(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(b ((a a)(^y.y)))) REDUCED to normal form. ------ 42526/2850609. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(a (b a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (b a))) REDUCED to normal form. ------ 42527/2850636. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a)(^z.z))(a a))) REDUCED to normal form. ------ 42528/2850672. ------ 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. ------ 42529/2850690. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a b)((^z.z) a))) 3. ==[ beta ]==> ((^y.y)((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. ------ 42530/2850771. ------ 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. ------ 42531/2850798. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y) a)(a b))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(a b))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(a b))) 5. ==[ beta ]==> ((a a)(a (a b))) REDUCED to normal form. ------ 42532/2850825. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.a))((a (^y.y))(a a))) REDUCED to normal form. ------ 42533/2850843. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^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. ------ 42534/2850852. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)((a a)(^x1.x1)))) REDUCED to normal form. ------ 42535/2850915. ------ 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) 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. ------ 42536/2850942. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a b)(^z.a))) REDUCED to normal form. ------ 42537/2850969. ------ 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. ------ 42538/2850996. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(^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. ------ 42539/2851005. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((^y.(^z.z))((^x1.x1)(^y1.y1)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 7. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 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. ------ 42540/2851032. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 42541/2851086. ------ 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 ]==> (((^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. ------ 42542/2851113. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (a a))((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (a a))((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> ((a (a a))((a a)(^y.y))) 6. ==[ alpha ]==> ((a (a a))((a a)(^x.x))) REDUCED to normal form. ------ 42543/2851194. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.b)(^b.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. ------ 42544/2851221. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 42545/2851311. ------ 1. ==[ start ]==> (((^a.(a a)) b)(c (a b))) 2. ==[ alpha ]==> (((^x.(x x)) b)(c (a b))) 3. ==[ beta ]==> ((b b)(c (a b))) REDUCED to normal form. ------ 42546/2851356. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.a)(^c.(^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. ------ 42547/2851446. ------ 1. ==[ start ]==> (((a (a a)) b)(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a)) b)(((a a) a)((^x.x) a))) 3. ==[ beta ]==> (((a (a a)) b)(((a a) a) a)) REDUCED to normal form. ------ 42548/2851473. ------ 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))(a (a a)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))(a (a a)))) 5. ==[ beta ]==> (a (((^y.y)(^z.z))(a (a a)))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))(a (a a)))) 7. ==[ beta ]==> (a ((^y.y)(a (a a)))) 8. ==[ alpha ]==> (a ((^x.x)(a (a a)))) 9. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 42549/2851500. ------ 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)(^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. ------ 42550/2851527. ------ 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)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a ((a a) a))) REDUCED to normal form. ------ 42551/2851554. ------ 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))) REDUCED to normal form. ------ 42552/2851572. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(b (^z.(a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(b (^z.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (^z.(a a)))) REDUCED to normal form. ------ 42553/2851581. ------ 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)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 42554/2851644. ------ 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)))) 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. ------ 42555/2851671. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((a a) a)(^y.a))) REDUCED to normal form. ------ 42556/2851698. ------ 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)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^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)((^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. ------ 42557/2851725. ------ 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. ------ 42558/2851779. ------ 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. ------ 42559/2851815. ------ 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.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. ------ 42560/2851869. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.b)(^a.(^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. ------ 42561/2851950. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^y.(^z.z)))) 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. ------ 42562/2851977. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 42563/2851986. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(c ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(c ((a a) a))) REDUCED to normal form. ------ 42564/2852013. ------ 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. ------ 42565/2852031. ------ 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 ]==> ((((^y.y) a)((^y.y) a))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.z)(^x1.(a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)(^z.(a a)))) 7. ==[ beta ]==> ((a a)((^y.y)(^z.(a a)))) 8. ==[ alpha ]==> ((a a)((^x.x)(^y.(a a)))) 9. ==[ beta ]==> ((a a)(^y.(a a))) 10. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 42566/2852040. ------ 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. ------ 42567/2852067. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a b)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a b)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)(a a))) 5. ==[ beta ]==> ((^y.(^z.z))((a b)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a b)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 42568/2852094. ------ 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. ------ 42569/2852265. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((a b)(^x.x))) REDUCED to normal form. ------ 42570/2852292. ------ 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. ------ 42571/2852301. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.b)((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)((^y.a)(a (^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 42572/2852382. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a)((^x1.x1)(^y1.y1)))) IRREDUCIBLE: cycle. ------ 42573/2852463. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (b ((^z.b)(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.b)(^y.y))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 42574/2852490. ------ 1. ==[ start ]==> (((^a.a)(a b))((^c.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)))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 42575/2852517. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.(^a.a))(^b.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. ------ 42576/2852571. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.a)(^b.(^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. ------ 42577/2852607. ------ 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. ------ 42578/2852634. ------ 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. ------ 42579/2852661. ------ 1. ==[ start ]==> (((a b)(^a.a))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.x))(((a a) a)(a a))) REDUCED to normal form. ------ 42580/2852697. ------ 1. ==[ start ]==> (((a a)(a b))((^b.(^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. ------ 42581/2852832. ------ 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. ------ 42582/2852859. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a a))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a a))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a b)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a b)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 42583/2852886. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (a a))(^y.a))) 3. ==[ beta ]==> ((a (a a))((a (a a))(^y.a))) 4. ==[ alpha ]==> ((a (a a))((a (a a))(^x.a))) REDUCED to normal form. ------ 42584/2852895. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(a a))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 42585/2852922. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (a a)))) 5. ==[ beta ]==> ((^y.a)(a (a a))) 6. ==[ alpha ]==> ((^x.a)(a (a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 42586/2852976. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)((a a) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)((a a) a))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)((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. ------ 42587/2853057. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 42588/2853111. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 42589/2853120. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(b (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(b (^y.y))) REDUCED to normal form. ------ 42590/2853138. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 42591/2853147. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(a ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(a ((a a) a))) REDUCED to normal form. ------ 42592/2853201. ------ 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. ------ 42593/2853228. ------ 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)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1) a)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z) a)((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> ((((^y.y) a)((^z.z) a))(((^y.y) a)((^z.z) a))) 8. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) a)((^x1.x1) a))) 9. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)((^x1.x1) a))) 10. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)((^z.z) a))) 11. ==[ beta ]==> ((a a)(((^y.y) a)((^z.z) a))) 12. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y) a))) 13. ==[ beta ]==> ((a a)(a ((^y.y) a))) 14. ==[ alpha ]==> ((a a)(a ((^x.x) a))) 15. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 42594/2853255. ------ 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)))) REDUCED to normal form. ------ 42595/2853273. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(b (^b.(^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. ------ 42596/2853282. ------ 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)))) 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. ------ 42597/2853345. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 42598/2853372. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y) 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. ------ 42599/2853399. ------ 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. ------ 42600/2853426. ------ 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))(^y.y))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 42601/2853453. ------ 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))((^y.y) a)) 8. ==[ alpha ]==> ((a (a a))((^x.x) a)) 9. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 42602/2853480. ------ 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. ------ 42603/2853498. ------ 1. ==[ start ]==> (((^a.b) c)(d (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(d (a (^y.y)))) 3. ==[ beta ]==> (b (d (a (^y.y)))) 4. ==[ alpha ]==> (b (d (a (^x.x)))) REDUCED to normal form. ------ 42604/2853507. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a) a) c)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y) a) c)) 3. ==[ beta ]==> (((a b)(a (^x.x)))(a c)) REDUCED to normal form. ------ 42605/2853732. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 42606/2853741. ------ 1. ==[ start ]==> (((a b) c)(d b)) REDUCED to normal form. ------ 42607/2853768. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(c c)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(c c)) 3. ==[ beta ]==> (((a a) b)(c c)) REDUCED to normal form. ------ 42608/2853813. ------ 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)(^x.x))(a (a a))) REDUCED to normal form. ------ 42609/2853840. ------ 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)) 7. ==[ beta ]==> ((^y.y)(^y.y)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 42610/2853876. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(c (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(c (a (^z.z)))) 3. ==[ beta ]==> ((a (^y.b))(c (a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.b))(c (a (^y.y)))) REDUCED to normal form. ------ 42611/2853894. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.(^a.a))(^b.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. ------ 42612/2853930. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(a (a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(a (a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (a (a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (a (a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 42613/2853957. ------ 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. ------ 42614/2853975. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 42615/2853984. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 42616/2854011. ------ 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))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 42617/2854074. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 42618/2854101. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a a)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a a)(^z.a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a a)(^y.a))) REDUCED to normal form. ------ 42619/2854128. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((^y.y) a) a)) 3. ==[ beta ]==> ((a (a b))(((^y.y) a) a)) 4. ==[ alpha ]==> ((a (a b))(((^x.x) a) a)) 5. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 42620/2854155. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))((a a) a))((a (^x.x)) b)) REDUCED to normal form. ------ 42621/2854209. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^b.a) a)) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.a) a)) 3. ==[ beta ]==> ((((a a) a)(a (a a))) a) REDUCED to normal form. ------ 42622/2854236. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z)) b)) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y)) b)) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 42623/2854290. ------ 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. ------ 42624/2854317. ------ 1. ==[ start ]==> ((a (b a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 42625/2854407. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(b (^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(b (^z.z))) 3. ==[ beta ]==> (((^y.b)(^y.b))(b (^z.z))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(b (^z.z))) 5. ==[ beta ]==> (b (b (^z.z))) 6. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 42626/2854488. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (b ((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.x)(^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 42627/2858928. ------ 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.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 42628/2859000. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((a a) a)(a (a a)))) 3. ==[ eta ]==> ((^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. ------ 42629/2859171. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 42630/2859399. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 42631/2859621. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 42632/2860092. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^c.(^b.(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. ------ 42633/2860317. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.(a a)))) REDUCED to normal form. ------ 42634/2860386. ------ 1. ==[ start ]==> ((^a.(^a.b))((^c.a) c)) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a) c)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 42635/2860722. ------ 1. ==[ start ]==> ((((a a) a) b)(^b.(a b))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(a x))) 3. ==[ eta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 42636/2860911. ------ 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. ------ 42637/2860953. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^c.a) b)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.a) b)) 3. ==[ beta ]==> (^y.(((^z.a) b)((^z.a) b))) 4. ==[ alpha ]==> (^x.(((^y.a) b)((^z.a) b))) 5. ==[ beta ]==> (^x.(a ((^z.a) b))) 6. ==[ alpha ]==> (^x.(a ((^y.a) b))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 42638/2861253. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^c.(^c.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. ------ 42639/2861424. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.a))) REDUCED to normal form. ------ 42640/2861835. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(b (a (a a)))) 3. ==[ beta ]==> (((b (a (a a)))(b (a (a a))))(^y.y)) 4. ==[ alpha ]==> (((b (a (a a)))(b (a (a a))))(^x.x)) REDUCED to normal form. ------ 42641/2862207. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(x1 x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 42642/2862315. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 42643/2862486. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.((^y.y) x))) 3. ==[ eta ]==> ((((a a) a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 42644/2862591. ------ 1. ==[ start ]==> ((^a.(b a))(b b)) 2. ==[ alpha ]==> ((^x.(b x))(b b)) 3. ==[ eta ]==> (b (b b)) REDUCED to normal form. ------ 42645/2862765. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^c.a)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.a)) 3. ==[ beta ]==> (b (^z.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 42646/2862840. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(a a))(^b.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. ------ 42647/2862867. ------ 1. ==[ start ]==> (((a a) a)((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a) a)((^x.b)(^y.(y y)))) 3. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 42648/2862921. ------ 1. ==[ start ]==> (((^a.a) b)((^b.(^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))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 42649/2862948. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 42650/2862975. ------ 1. ==[ start ]==> (((a a) b)((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a) b)((^x.a)(^y.(a a)))) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 42651/2863074. ------ 1. ==[ start ]==> ((a (^b.a))((^c.(^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 42652/2863092. ------ 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. ------ 42653/2863119. ------ 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 (^x.x))(a a))((a b) a)) REDUCED to normal form. ------ 42654/2863146. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((a a)(((a a) a)(a (a a)))) REDUCED to normal form. ------ 42655/2863245. ------ 1. ==[ start ]==> (((a a)(^b.a))(c (^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(c (^y.(a a)))) REDUCED to normal form. ------ 42656/2863272. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (^x1.(^y1.y1)))) REDUCED to normal form. ------ 42657/2863317. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 42658/2863425. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.(^y1.y1)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 7. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 8. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 9. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 10. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 42659/2863452. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 42660/2863488. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.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. ------ 42661/2863506. ------ 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 ]==> (((^y.y)(^y.y))((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(a a)))) 7. ==[ beta ]==> ((a (^y.y))(^z.(a a))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 42662/2863515. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a)) a)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 42663/2863542. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((a a)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(^y.y))) REDUCED to normal form. ------ 42664/2863560. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((a a)(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)(((a a)(^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. ------ 42665/2863569. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 42666/2863596. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(a a))(^y1.(^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. ------ 42667/2863614. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a b) c)) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a b) c)) 3. ==[ beta ]==> (((a a)(a a))((a b) c)) REDUCED to normal form. ------ 42668/2863623. ------ 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. ------ 42669/2863731. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.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. ------ 42670/2863767. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(b ((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^y.y))(b ((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(b ((^y.y)(a a)))) 5. ==[ beta ]==> ((a (^x.x))(b (a a))) REDUCED to normal form. ------ 42671/2863857. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.b) c)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.b) c)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b) c)) 5. ==[ beta ]==> ((^y.y)((^y1.b) c)) 6. ==[ alpha ]==> ((^x.x)((^y.b) c)) 7. ==[ beta ]==> ((^y.b) c) 8. ==[ alpha ]==> ((^x.b) c) 9. ==[ beta ]==> b REDUCED to normal form. ------ 42672/2863974. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(c (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(c (^z.b))) 3. ==[ beta ]==> ((a (^y.a))(c (^z.b))) 4. ==[ alpha ]==> ((a (^x.a))(c (^y.b))) REDUCED to normal form. ------ 42673/2864001. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b (^z.(a a)))) REDUCED to normal form. ------ 42674/2864235. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(a a)))) 5. ==[ beta ]==> ((a a)(^y.(a a))) 6. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 42675/2864289. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a b) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a b) b)) 3. ==[ beta ]==> (((^y.a)(^y.a))((a b) b)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a b) b)) 5. ==[ beta ]==> (a ((a b) b)) REDUCED to normal form. ------ 42676/2864325. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^c.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. ------ 42677/2864352. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a) a)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 42678/2864406. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.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. ------ 42679/2864433. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(^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. ------ 42680/2864460. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.(a a))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(a a))) REDUCED to normal form. ------ 42681/2864532. ------ 1. ==[ start ]==> ((a (^a.b))((^c.a) c)) 2. ==[ alpha ]==> ((a (^x.b))((^y.a) c)) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 42682/2864550. ------ 1. ==[ start ]==> (((a a)((a a) a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((a a) a))(((^x.x)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.y)((^z.z) a))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.x)((^y.y) a))) 5. ==[ beta ]==> (((a a)((a a) a))((^y.y) a)) 6. ==[ alpha ]==> (((a a)((a a) a))((^x.x) a)) 7. ==[ beta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 42683/2864577. ------ 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. ------ 42684/2864604. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a (a a)))(a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((a (a (a a)))(a ((^x.x)(^y.y)))) 7. ==[ beta ]==> ((a (a (a a)))(a (^y.y))) 8. ==[ alpha ]==> ((a (a (a a)))(a (^x.x))) REDUCED to normal form. ------ 42685/2864631. ------ 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))) REDUCED to normal form. ------ 42686/2864658. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a a)(a b))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a a)(a b))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a a)(a b))) 5. ==[ beta ]==> ((a (^y.y))((a a)(a b))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(a b))) REDUCED to normal form. ------ 42687/2864703. ------ 1. ==[ start ]==> (((^a.b) a)((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 42688/2864721. ------ 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. ------ 42689/2864802. ------ 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.(^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. ------ 42690/2864865. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.a)(a b))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.x)(a b))) 3. ==[ beta ]==> ((((a a) a) b)(a b)) REDUCED to normal form. ------ 42691/2864883. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a b) a)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a b) a)) 3. ==[ beta ]==> (b ((a b) a)) REDUCED to normal form. ------ 42692/2864892. ------ 1. ==[ start ]==> (((a b) a)((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a b) a)((^x.b)(^y.y))) 3. ==[ beta ]==> (((a b) a) b) REDUCED to normal form. ------ 42693/2864910. ------ 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. ------ 42694/2864919. ------ 1. ==[ start ]==> (((a a)(^a.b))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 42695/2864973. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 42696/2865000. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.a)(^b.(^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. ------ 42697/2865027. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(^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. ------ 42698/2865054. ------ 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. ------ 42699/2865072. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.b) a)) 2. ==[ alpha ]==> (((^x.b)(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. ------ 42700/2865099. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^c.a) b)) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.a) b)) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 42701/2865117. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a b))((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a b))((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (((a a)(a b))(a (^y.y))) 6. ==[ alpha ]==> (((a a)(a b))(a (^x.x))) REDUCED to normal form. ------ 42702/2865144. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a (a a))((^y.y) a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((a (a a)) a)) REDUCED to normal form. ------ 42703/2865171. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1) a)(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1) a)(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) a)(a (a a)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(a (a a)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(a (a a)))) 7. ==[ beta ]==> ((a (^x.x))(a (a (a a)))) REDUCED to normal form. ------ 42704/2865198. ------ 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. ------ 42705/2865225. ------ 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. ------ 42706/2865270. ------ 1. ==[ start ]==> (((^a.b) b)((^c.a)(a a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.a)(a a))) 3. ==[ beta ]==> (b ((^y.a)(a a))) 4. ==[ alpha ]==> (b ((^x.a)(a a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 42707/2865315. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (a a))(^z.a))) 3. ==[ beta ]==> ((^y.(a a))((a (a a))(^z.a))) 4. ==[ alpha ]==> ((^x.(a a))((a (a a))(^y.a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 42708/2865342. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(z z))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(y y))) 7. ==[ beta ]==> (a (^y.(y y))) 8. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 42709/2865396. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a)(^x1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a)(^x1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(^y1.a))) 5. ==[ beta ]==> ((^y.y)((a a)(^y1.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. ------ 42710/2865477. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 42711/2865486. ------ 1. ==[ start ]==> (((a b) b)((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a b) b)((^x.(x x))(^y.a))) 3. ==[ beta ]==> (((a b) b)((^y.a)(^y.a))) 4. ==[ alpha ]==> (((a b) b)((^x.a)(^y.a))) 5. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 42712/2865513. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a a) a)((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> (((a a) a)((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 42713/2865540. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 42714/2865567. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.a)) REDUCED to normal form. ------ 42715/2865612. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1)) b)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1)) b)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1)) b)) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1)) b)) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1)) b)) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) b)) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 11. ==[ beta ]==> ((^y.(^z.z)) b) 12. ==[ alpha ]==> ((^x.(^y.y)) b) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 42716/2865675. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(c (^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(c (^y.(y y)))) REDUCED to normal form. ------ 42717/2865702. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 42718/2865918. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 42719/2865981. ------ 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. ------ 42720/2866017. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.(^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. ------ 42721/2866152. ------ 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. ------ 42722/2866161. ------ 1. ==[ start ]==> (((a b) c)((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a b) c)((^x.(x x))(a a))) 3. ==[ beta ]==> (((a b) c)((a a)(a a))) REDUCED to normal form. ------ 42723/2866188. ------ 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) REDUCED to normal form. ------ 42724/2866215. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 42725/2866233. ------ 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 z)))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.(y y)))) REDUCED to normal form. ------ 42726/2866260. ------ 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)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) a)) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 42727/2866269. ------ 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))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((^x1.x1)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 42728/2866296. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 42729/2866350. ------ 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)(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(x1 x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 42730/2866395. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.a) b)) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 42731/2866404. ------ 1. ==[ start ]==> (((a b)(^b.a))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(c (^y.(^z.z)))) REDUCED to normal form. ------ 42732/2866431. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 42733/2866458. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (^z.(z z)))) REDUCED to normal form. ------ 42734/2866521. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(b c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(b c)) 3. ==[ beta ]==> (((a (^x.x))(a a))(b c)) REDUCED to normal form. ------ 42735/2866602. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b (a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b (a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b (a (^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(b (a (^x1.x1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(b (a (^z.z)))) 7. ==[ beta ]==> ((^y.y)(b (a (^z.z)))) 8. ==[ alpha ]==> ((^x.x)(b (a (^y.y)))) 9. ==[ beta ]==> (b (a (^y.y))) 10. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 42736/2866629. ------ 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. ------ 42737/2866656. ------ 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))) REDUCED to normal form. ------ 42738/2866683. ------ 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. ------ 42739/2866737. ------ 1. ==[ start ]==> ((a (b a))(b b)) REDUCED to normal form. ------ 42740/2866827. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(^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. ------ 42741/2866908. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a a) a)) 3. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 42742/2871141. ------ 1. ==[ start ]==> ((^a.(a a))((^b.(a a))(^b.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. ------ 42743/2871168. ------ 1. ==[ start ]==> ((^a.b)((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.b)(^z.(z z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 42744/2871249. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (((^z.(z z))(^x1.b))(^y.y)) 4. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.z)) 5. ==[ beta ]==> (((^y.b)(^y.b))(^z.z)) 6. ==[ alpha ]==> (((^x.b)(^y.b))(^z.z)) 7. ==[ beta ]==> (b (^z.z)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 42745/2871342. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^a.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(^z.(b z))) 3. ==[ eta ]==> (((^x.(^y.y))(a a)) b) 4. ==[ beta ]==> ((^y.y) b) 5. ==[ alpha ]==> ((^x.x) b) 6. ==[ beta ]==> b REDUCED to normal form. ------ 42746/2871366. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.x))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> (^y.(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> (^x.(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 42747/2872059. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(^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. ------ 42748/2872098. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 42749/2872491. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.a)((a a) a))) 3. ==[ beta ]==> ((((^y.a)((a a) a))((^y.a)((a a) a)))((^y.a)((a a) a))) 4. ==[ alpha ]==> ((((^x.a)((a a) a))((^y.a)((a a) a)))((^z.a)((a a) a))) 5. ==[ beta ]==> ((a ((^y.a)((a a) a)))((^z.a)((a a) a))) 6. ==[ alpha ]==> ((a ((^x.a)((a a) a)))((^y.a)((a a) a))) 7. ==[ beta ]==> ((a a)((^y.a)((a a) a))) 8. ==[ alpha ]==> ((a a)((^x.a)((a a) a))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 42750/2872824. ------ 1. ==[ start ]==> ((^a.(^a.b))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(((a a) a)(a (^z.z)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 42751/2872980. ------ 1. ==[ start ]==> ((((a a) a)(a a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.(x x)))) REDUCED to normal form. ------ 42752/2873004. ------ 1. ==[ start ]==> ((^a.(a b))((^a.b)(a a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.b)(a a))) 3. ==[ beta ]==> (((^y.b)(a a)) b) 4. ==[ alpha ]==> (((^x.b)(a a)) b) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 42753/2873160. ------ 1. ==[ start ]==> ((((a a) a) b)(^c.(^a.b))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.b))) REDUCED to normal form. ------ 42754/2873367. ------ 1. ==[ start ]==> (((^a.b)(a a))(^a.(a b))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(y b))) 3. ==[ beta ]==> (b (^y.(y b))) 4. ==[ alpha ]==> (b (^x.(x b))) REDUCED to normal form. ------ 42755/2873391. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((a a) a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((a a) a)(a a))) 3. ==[ beta ]==> (^y.((((a a) a)(a a))(((a a) a)(a a)))) 4. ==[ alpha ]==> (^x.((((a a) a)(a a))(((a a) a)(a a)))) REDUCED to normal form. ------ 42756/2873547. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(^z.b))) REDUCED to normal form. ------ 42757/2873598. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))(a (^y1.y1)))((^z.(^x1.x1))(a (^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(a (^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2))))) 5. ==[ beta ]==> (((^y.(^z.z))(a (^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2)))) 6. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 7. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (^z1.z1)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 9. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 10. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 42758/2874168. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))(^y.((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))(^x.((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (a a))(^x.(^z.z))) 8. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 42759/2874273. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((^z.(^x1.x1))(^y1.(y1 y1)))((^z.(^x1.x1))(^y1.(y1 y1))))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.y))(^z.(z z)))((^x1.(^y1.y1))(^z1.(z1 z1))))(^x2.x2)) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))(^z1.(z1 z1))))(^x2.x2)) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(^x1.(x1 x1))))(^y1.y1)) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.(x1 x1)))(^y1.y1)) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 42760/2874312. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^a.((^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 ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 42761/2874645. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^c.d)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.d)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.d)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.d)) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.d)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.d)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 42762/2874843. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^b.((^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))(^x.a)) REDUCED to normal form. ------ 42763/2874924. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.(^y.a))) REDUCED to normal form. ------ 42764/2875005. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^a.(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(^z.y))) REDUCED to normal form. ------ 42765/2875029. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(^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 (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 42766/2875122. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(z (^x1.x1)))) 5. ==[ beta ]==> (b (^z.(z (^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(x (^y.y)))) REDUCED to normal form. ------ 42767/2875203. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^a.b)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.b)) 3. ==[ beta ]==> (b (^z.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 42768/2875296. ------ 1. ==[ start ]==> ((a (a a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((a (a a))((^x.(a a))(^y.a))) 3. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 42769/2875323. ------ 1. ==[ start ]==> ((a b)((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((a b)((^x.b)(^y.(y y)))) 3. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 42770/2875377. ------ 1. ==[ start ]==> (((a a)(a a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 42771/2875404. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(y y))(^z.b))) 3. ==[ beta ]==> ((a (a (^x.x)))((^z.b)(^z.b))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.b)(^z.b))) 5. ==[ beta ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 42772/2875467. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(b ((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^y.y))(b ((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 42773/2875494. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(a (b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 42774/2875521. ------ 1. ==[ start ]==> ((a (^b.a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.a))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 42775/2875557. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(a a)) c)) 3. ==[ beta ]==> ((^y.y)((^z.(a a)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) c)) 5. ==[ beta ]==> ((^y.(a a)) c) 6. ==[ alpha ]==> ((^x.(a a)) c) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 42776/2875602. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((^y.a)(((a a) a)(a (a a)))) 4. ==[ alpha ]==> ((^x.a)(((a a) a)(a (a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 42777/2875629. ------ 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)(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 9. ==[ beta ]==> ((^y.y)(^z.z)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 42778/2875683. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) a)(a b))) 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. ------ 42779/2875710. ------ 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.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. ------ 42780/2875809. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 42781/2875836. ------ 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. ------ 42782/2875854. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((a a) a)(^y.(y y)))) 3. ==[ beta ]==> ((a a)(((a a) a)(^y.(y y)))) 4. ==[ alpha ]==> ((a a)(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 42783/2875935. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y) a)(^z.b))) 3. ==[ beta ]==> ((a b)(((^y.y) a)(^z.b))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)(^y.b))) 5. ==[ beta ]==> ((a b)(a (^y.b))) 6. ==[ alpha ]==> ((a b)(a (^x.b))) REDUCED to normal form. ------ 42784/2875962. ------ 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. ------ 42785/2876016. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 42786/2876043. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(a a)) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(a a)) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a)) b)) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a) b)) REDUCED to normal form. ------ 42787/2876070. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a b) c)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a b) c)) REDUCED to normal form. ------ 42788/2876133. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 42789/2876187. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.a)(^y.b))) 3. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 42790/2876214. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(^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. ------ 42791/2876223. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(b ((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b ((^z.z)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 42792/2876250. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 42793/2876304. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a b)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((a b)(a (^y1.y1)))) 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. ------ 42794/2876313. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.b) c)) 2. ==[ alpha ]==> (((a (a a)) b)((^x.b) c)) 3. ==[ beta ]==> (((a (a a)) b) b) REDUCED to normal form. ------ 42795/2876358. ------ 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. ------ 42796/2876385. ------ 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. ------ 42797/2876439. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a (^z.z))(a b))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (^z.z))(a b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(a b))) REDUCED to normal form. ------ 42798/2876511. ------ 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)(^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. ------ 42799/2876538. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) b) REDUCED to normal form. ------ 42800/2876592. ------ 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. ------ 42801/2876619. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a a)((^y.(y y))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.(x x))((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((^y.y)(^z.z)))) 8. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 9. ==[ beta ]==> ((a a)((^y.y)((^z.z)(^x1.x1)))) 10. ==[ alpha ]==> ((a a)((^x.x)((^y.y)(^z.z)))) 11. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 12. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 13. ==[ beta ]==> ((a a)(^y.y)) 14. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 42802/2876646. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.a)((a a) a))) 3. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 42803/2876772. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((a a) a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((a a) a) c)) 3. ==[ beta ]==> (((^y.y) b)(((a a) a) c)) 4. ==[ alpha ]==> (((^x.x) b)(((a a) a) c)) 5. ==[ beta ]==> (b (((a a) a) c)) REDUCED to normal form. ------ 42804/2876898. ------ 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. ------ 42805/2876934. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(a a)) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(a a)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a)) a)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a)) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a)) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 42806/2876961. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.b) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.b) b)) 3. ==[ beta ]==> ((((a a) a)(^x.x)) b) REDUCED to normal form. ------ 42807/2876979. ------ 1. ==[ start ]==> ((a (^a.b))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 42808/2877105. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(b (^x1.b))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(b (^x1.b))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(b (^z.b))) 5. ==[ beta ]==> ((a (^y.y))(b (^z.b))) 6. ==[ alpha ]==> ((a (^x.x))(b (^y.b))) REDUCED to normal form. ------ 42809/2877132. ------ 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. ------ 42810/2877150. ------ 1. ==[ start ]==> (((^a.b) a)((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.b) a)((a b)(^y.y))) 3. ==[ beta ]==> (b ((a b)(^y.y))) 4. ==[ alpha ]==> (b ((a b)(^x.x))) REDUCED to normal form. ------ 42811/2877159. ------ 1. ==[ start ]==> ((a (a b))((^a.b)(a a))) 2. ==[ alpha ]==> ((a (a b))((^x.b)(a a))) 3. ==[ beta ]==> ((a (a b)) b) REDUCED to normal form. ------ 42812/2877312. ------ 1. ==[ start ]==> ((((a a) a) b)((a a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a) b)((a a)(^x.b))) REDUCED to normal form. ------ 42813/2877339. ------ 1. ==[ start ]==> (((a b) a)((a b) a)) REDUCED to normal form. ------ 42814/2877366. ------ 1. ==[ start ]==> (((a a)(^a.b))(((a a) a) b)) 2. ==[ alpha ]==> (((a a)(^x.b))(((a a) a) b)) REDUCED to normal form. ------ 42815/2877519. ------ 1. ==[ start ]==> (((^a.b)(a a))(a (a b))) 2. ==[ alpha ]==> (((^x.b)(a a))(a (a b))) 3. ==[ beta ]==> (b (a (a b))) REDUCED to normal form. ------ 42816/2877528. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.b) a)) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.b) a)) 3. ==[ beta ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 42817/2877546. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((a a) a)(a a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((a a) a)(a a))) REDUCED to normal form. ------ 42818/2877672. ------ 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. ------ 42819/2877699. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(a (^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(a (^y.b))) REDUCED to normal form. ------ 42820/2877717. ------ 1. ==[ start ]==> (((^a.b) b)(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 42821/2877726. ------ 1. ==[ start ]==> (((a b)(a a))((^c.a)(a a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.a)(a a))) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 42822/2877753. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.(^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)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 42823/2877933. ------ 1. ==[ start ]==> (((a b) b)((a (a a)) c)) REDUCED to normal form. ------ 42824/2878005. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((^y.y)(^z.z))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 42825/2878059. ------ 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)(^z.z))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(a a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(a a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(a a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(a a))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(a a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(a a))) 9. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(a a))) 10. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a a))) 11. ==[ beta ]==> (((^y.y)(^z.z))(a a)) 12. ==[ alpha ]==> (((^x.x)(^y.y))(a a)) 13. ==[ beta ]==> ((^y.y)(a a)) 14. ==[ alpha ]==> ((^x.x)(a a)) 15. ==[ beta ]==> (a a) REDUCED to normal form. ------ 42826/2878068. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 42827/2878140. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^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. ------ 42828/2878212. ------ 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)(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. ------ 42829/2878239. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a b))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))(a b))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 42830/2878266. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((a ((a a) a))((^y.a)((^z.z) a))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.a)((^y.y) a))) 5. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 42831/2878293. ------ 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. ------ 42832/2878320. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (a a))((^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. ------ 42833/2878347. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> ((((a a) a) a)(^y.y)) 6. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 42834/2878365. ------ 1. ==[ start ]==> (((^a.b) c)((a (a a)) b)) 2. ==[ alpha ]==> (((^x.b) c)((a (a a)) b)) 3. ==[ beta ]==> (b ((a (a a)) b)) REDUCED to normal form. ------ 42835/2878374. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 42836/2878401. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(^z.a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.a))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 42837/2878428. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 42838/2878464. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(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))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 42839/2878608. ------ 1. ==[ start ]==> (((a b) c)((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a b) c)((a (a a))(^x.x))) REDUCED to normal form. ------ 42840/2878635. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) b)(a (^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 42841/2878662. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.y))(^z.a))) REDUCED to normal form. ------ 42842/2878716. ------ 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. ------ 42843/2878743. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z) a) b)) 3. ==[ beta ]==> ((a (^y.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. ------ 42844/2878824. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(y y)) a)) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 42845/2878842. ------ 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. ------ 42846/2878851. ------ 1. ==[ start ]==> (((a b)(^b.a))((^b.a) b)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a) b)) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 42847/2878941. ------ 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) REDUCED to normal form. ------ 42848/2878968. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 42849/2878995. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 42850/2879022. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.a)(^y.y))) 3. ==[ beta ]==> (((a (a a))((a a) a)) a) REDUCED to normal form. ------ 42851/2879049. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.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. ------ 42852/2879076. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.x)(^y.a))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.a)) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.a)) REDUCED to normal form. ------ 42853/2879103. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(c (^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(c (^y.y))) 3. ==[ beta ]==> (((a b) a)(c (^y.y))) 4. ==[ alpha ]==> (((a b) a)(c (^x.x))) REDUCED to normal form. ------ 42854/2879130. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 42855/2879157. ------ 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. ------ 42856/2879184. ------ 1. ==[ start ]==> ((a (b a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(a a))) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 42857/2879274. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(a (a (^z.z)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(a (a (^z.z)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(a (a (^z.z)))) 5. ==[ beta ]==> (b (a (a (^z.z)))) 6. ==[ alpha ]==> (b (a (a (^x.x)))) REDUCED to normal form. ------ 42858/2879355. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(a b)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(a b)) 3. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 42859/2879417. ------ 1. ==[ start ]==> (^a.(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (^x.(((x x)(^y.y)) b)) REDUCED to normal form. ------ 42860/2879418. ------ 1. ==[ start ]==> (a (((a a)(^a.a)) b)) 2. ==[ alpha ]==> (a (((a a)(^x.x)) b)) REDUCED to normal form. ------ 42861/2883573. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b) a) 2. ==[ alpha ]==> ((((a a)(^x.x)) b) a) REDUCED to normal form. ------ 42862/2883579. ------ 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) REDUCED to normal form. ------ 42863/2883816. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^a.(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(b z))) 3. ==[ eta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 42864/2884173. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((a a) a)(^y.(y y)))) 3. ==[ beta ]==> ((((a a) a)(^y.(y y)))((((a a) a)(^y.(y y)))(((a a) a)(^y.(y y))))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((((a a) a)(^y.(y y)))(((a a) a)(^z.(z z))))) REDUCED to normal form. ------ 42865/2884320. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 42866/2884398. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.b)(^b.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. ------ 42867/2884563. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 42868/2885247. ------ 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.z1)(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.((^z1.z1)(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((^y1.y1)(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.((^y1.y1)(x1 x1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1)(z z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 42869/2885469. ------ 1. ==[ start ]==> ((^a.(a b))((a b)(^a.a))) 2. ==[ alpha ]==> ((^x.(x b))((a b)(^y.y))) 3. ==[ beta ]==> (((a b)(^y.y)) b) 4. ==[ alpha ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 42870/2885643. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^b.(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(a z))) 3. ==[ eta ]==> (((^x.b)(^y.y)) a) 4. ==[ beta ]==> (b a) REDUCED to normal form. ------ 42871/2885832. ------ 1. ==[ start ]==> (((^a.b)(a a))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(^z.y))) 3. ==[ beta ]==> (b (^y.(^z.y))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 42872/2885841. ------ 1. ==[ start ]==> (((a b)(^a.a))(^a.(a b))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(y b))) REDUCED to normal form. ------ 42873/2886063. ------ 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))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((((^z.z)(^x1.x1))(^y1.(^z1.z1)))(((^z.z)(^x1.x1))(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((((^y.y)(^z.z))(^x1.(^y1.y1)))(((^z1.z1)(^x2.x2))(^y2.(^z2.z2))))) 5. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.(^y1.y1)))(((^z1.z1)(^x2.x2))(^y2.(^z2.z2)))) 6. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 7. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 8. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 9. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 10. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 42874/2886777. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^b.(^b.(^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. ------ 42875/2886912. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 42876/2887020. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a 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))) REDUCED to normal form. ------ 42877/2887137. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(y (y y)))) REDUCED to normal form. ------ 42878/2887308. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^c.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.(^z.a))) 3. ==[ beta ]==> ((a (a b))(^y.(^z.a))) 4. ==[ alpha ]==> ((a (a b))(^x.(^y.a))) REDUCED to normal form. ------ 42879/2887470. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^b.c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.c)) REDUCED to normal form. ------ 42880/2887494. ------ 1. ==[ start ]==> ((^a.(b a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(b x))((a (^y.y))(^z.z))) 3. ==[ eta ]==> (b ((a (^y.y))(^z.z))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 42881/2887587. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^b.(^a.(^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. ------ 42882/2887668. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(a a))) 3. ==[ beta ]==> (b (^z.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 42883/2887731. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^a.a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 42884/2887743. ------ 1. ==[ start ]==> ((a a)(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((a a)(((a a)(^x.x)) b)) REDUCED to normal form. ------ 42885/2887779. ------ 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. ------ 42886/2887806. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> ((a a)((^y.b)(^z.(z z)))) 4. ==[ alpha ]==> ((a a)((^x.b)(^y.(y y)))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 42887/2887887. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 42888/2887914. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((^y.a)(^z.(a a))) 6. ==[ alpha ]==> ((^x.a)(^y.(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 42889/2887950. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b ((a a)(^z.z)))) REDUCED to normal form. ------ 42890/2887977. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(a (b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (b a))) REDUCED to normal form. ------ 42891/2888031. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 42892/2888040. ------ 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 (^x.x))(a a))(a a)) REDUCED to normal form. ------ 42893/2888112. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) b)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(^z.z))) 7. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 8. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 42894/2888139. ------ 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. ------ 42895/2888166. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)(a b))) 3. ==[ beta ]==> (((a a)(^x.a))(a (a b))) REDUCED to normal form. ------ 42896/2888193. ------ 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.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(a a))) REDUCED to normal form. ------ 42897/2888220. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^y.y))((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 42898/2888256. ------ 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) a)(((a a)(^y.y))(^z.z))) 4. ==[ alpha ]==> (((a a) a)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 42899/2888283. ------ 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)(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. ------ 42900/2888310. ------ 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. ------ 42901/2888337. ------ 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. ------ 42902/2888373. ------ 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)(^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. ------ 42903/2888427. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.a)(a b))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.a)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(a b))) 5. ==[ beta ]==> ((^y.y)((^z.a)(a b))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(a b))) 7. ==[ beta ]==> ((^y.a)(a b)) 8. ==[ alpha ]==> ((^x.a)(a b)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 42904/2888454. ------ 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. ------ 42905/2888481. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.x1)((a a)(^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. ------ 42906/2888535. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.(a a))(^a.(^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. ------ 42907/2888562. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 42908/2888697. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(^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. ------ 42909/2888787. ------ 1. ==[ start ]==> (((a (a a)) b)((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((a b)(a (^x.x)))) REDUCED to normal form. ------ 42910/2888814. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((a a) a)((^z.z) a))) 3. ==[ beta ]==> (((^y.y) a)(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> (((^x.x) a)(((a a) a)((^y.y) a))) 5. ==[ beta ]==> (a (((a a) a)((^y.y) a))) 6. ==[ alpha ]==> (a (((a a) a)((^x.x) a))) 7. ==[ beta ]==> (a (((a a) a) a)) REDUCED to normal form. ------ 42911/2888841. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 42912/2888868. ------ 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)(^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. ------ 42913/2888895. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)((a a) a))) 5. ==[ beta ]==> ((a (^x.a))(a ((a a) a))) REDUCED to normal form. ------ 42914/2888922. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.z))(a b))) REDUCED to normal form. ------ 42915/2888949. ------ 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. ------ 42916/2888985. ------ 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)(^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. ------ 42917/2889012. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 42918/2889039. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a) a)(^z.a))) 3. ==[ beta ]==> ((a ((^y.y) a))(((a a) a)(^z.a))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((a 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. ------ 42919/2889066. ------ 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. ------ 42920/2889093. ------ 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. ------ 42921/2889156. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(^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. ------ 42922/2889210. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(a a))(^x1.x1))) 5. ==[ beta ]==> (a ((^z.(a a))(^x1.x1))) 6. ==[ alpha ]==> (a ((^x.(a a))(^y.y))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 42923/2889291. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 42924/2889318. ------ 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.(^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. ------ 42925/2889372. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.(^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. ------ 42926/2889381. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(b (a b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(b (a b))) REDUCED to normal form. ------ 42927/2889408. ------ 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.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(a ((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a ((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(a ((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.z)(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 42928/2889435. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a b)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a b)(a a))) REDUCED to normal form. ------ 42929/2889633. ------ 1. ==[ start ]==> ((a (a b))((a b)(^a.a))) 2. ==[ alpha ]==> ((a (a b))((a b)(^x.x))) REDUCED to normal form. ------ 42930/2889642. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.b)(a a))) 3. ==[ beta ]==> ((^y.b)((^z.b)(a a))) 4. ==[ alpha ]==> ((^x.b)((^y.b)(a a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 42931/2889723. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))(a (a a)))) IRREDUCIBLE: cycle. ------ 42932/2889804. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 42933/2889831. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.b)(^z.z))) 3. ==[ beta ]==> ((a b)((^y.b)(^z.z))) 4. ==[ alpha ]==> ((a b)((^x.b)(^y.y))) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 42934/2889912. ------ 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))(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 42935/2889948. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(c ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(c ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(c ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(c ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)(c ((^y.y)(^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 42936/2889975. ------ 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. ------ 42937/2889993. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 42938/2890002. ------ 1. ==[ start ]==> (((a b)(^a.a))(a (a b))) 2. ==[ alpha ]==> (((a b)(^x.x))(a (a b))) REDUCED to normal form. ------ 42939/2890038. ------ 1. ==[ start ]==> (((a a)(a b))((^c.a) b)) 2. ==[ alpha ]==> (((a a)(a b))((^x.a) b)) 3. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 42940/2890065. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 42941/2890200. ------ 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. ------ 42942/2890227. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 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. ------ 42943/2890236. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.(^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. ------ 42944/2890263. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(x1 x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> ((^y.(y y))((^z.z) a)) 6. ==[ alpha ]==> ((^x.(x x))((^y.y) a)) 7. ==[ beta ]==> (((^y.y) a)((^y.y) a)) 8. ==[ alpha ]==> (((^x.x) a)((^y.y) a)) 9. ==[ beta ]==> (a ((^y.y) a)) 10. ==[ alpha ]==> (a ((^x.x) a)) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 42945/2890317. ------ 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))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 42946/2890398. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 42947/2890452. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((a a)((^y.a)(^z.(z z)))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.(y y)))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 42948/2890461. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(c (a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(c (a (a a)))) REDUCED to normal form. ------ 42949/2890479. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 42950/2890488. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(b (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(b (^z.z))) REDUCED to normal form. ------ 42951/2890542. ------ 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. ------ 42952/2890569. ------ 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. ------ 42953/2890596. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y) a)((^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. ------ 42954/2890614. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(c (^z.(z z)))) 3. ==[ beta ]==> (b (c (^z.(z z)))) 4. ==[ alpha ]==> (b (c (^x.(x x)))) REDUCED to normal form. ------ 42955/2890623. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 42956/2890650. ------ 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)(^x.x))((a a)(^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 42957/2890686. ------ 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))(^x1.x1))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^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. ------ 42958/2890713. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 42959/2890740. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x) 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. ------ 42960/2890767. ------ 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))(^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. ------ 42961/2890794. ------ 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. ------ 42962/2890821. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y)(^z.z)) a)) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(^y.y)) a)) 5. ==[ beta ]==> ((((a a) a) a)((^y.y) a)) 6. ==[ alpha ]==> ((((a a) a) a)((^x.x) a)) 7. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 42963/2890848. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (a a)) b)) REDUCED to normal form. ------ 42964/2890938. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.a)(^b.(^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. ------ 42965/2891073. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 42966/2891154. ------ 1. ==[ start ]==> (((^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))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 42967/2891181. ------ 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. ------ 42968/2891235. ------ 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)))) 5. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 42969/2891271. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(b ((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(b ((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b ((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(^z.z))(b ((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.(^y.y))(b ((^z.z) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 42970/2891298. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(a (a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(a (a (a a)))) REDUCED to normal form. ------ 42971/2891325. ------ 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. ------ 42972/2891352. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (^x1.x1))(a (^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. ------ 42973/2891379. ------ 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))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((a a) a)) REDUCED to normal form. ------ 42974/2891415. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(a (^z.z))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(a (^y.y))) REDUCED to normal form. ------ 42975/2891442. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 42976/2891469. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 42977/2891496. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a (a a))((a a) a))(((^x.x) a) a)) 3. ==[ beta ]==> (((a (a a))((a a) a))(a a)) REDUCED to normal form. ------ 42978/2891523. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1)) b)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.y1)) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1)) b)) 5. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1)) b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z)) b)) 7. ==[ beta ]==> ((^y.y)((a (^z.z)) b)) 8. ==[ alpha ]==> ((^x.x)((a (^y.y)) b)) 9. ==[ beta ]==> ((a (^y.y)) b) 10. ==[ alpha ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 42979/2891577. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.a) a)) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.a) a)) 3. ==[ beta ]==> (((a b) a)((^y.a) a)) 4. ==[ alpha ]==> (((a b) a)((^x.a) a)) 5. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 42980/2891604. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z)) b)) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 42981/2891658. ------ 1. ==[ start ]==> ((a (b a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (b a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 42982/2891748. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b ((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 42983/2891829. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.z)(a a))) 3. ==[ beta ]==> (b ((^z.z)(a a))) 4. ==[ alpha ]==> (b ((^x.x)(a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 42984/2891892. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(a a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(a a)) REDUCED to normal form. ------ 42985/2896056. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b) b) 2. ==[ alpha ]==> ((((a a)(^x.x)) b) b) REDUCED to normal form. ------ 42986/2896080. ------ 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. ------ 42987/2896395. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a b)((^z.z) a))) 3. ==[ eta ]==> ((^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. ------ 42988/2896821. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 42989/2896890. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a b) c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b) c)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 42990/2897739. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^b.(^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. ------ 42991/2897781. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.b) b)) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.b) b)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 42992/2897955. ------ 1. ==[ start ]==> (((^a.b) a)(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(^z.(y y)))) 3. ==[ beta ]==> (b (^y.(^z.(y y)))) 4. ==[ alpha ]==> (b (^x.(^y.(x x)))) REDUCED to normal form. ------ 42993/2898135. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(^x1.b))) 3. ==[ beta ]==> (b (^z.(^x1.b))) 4. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 42994/2898144. ------ 1. ==[ start ]==> (((a b) a)(^b.(a b))) 2. ==[ alpha ]==> (((a b) a)(^x.(a x))) 3. ==[ eta ]==> (((a b) a) a) REDUCED to normal form. ------ 42995/2898333. ------ 1. ==[ start ]==> (((a b)(^a.a))(^b.(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 42996/2898348. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.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 ((^z.b) a))) 6. ==[ alpha ]==> (^x.(b ((^y.b) a))) 7. ==[ beta ]==> (^x.(b b)) REDUCED to normal form. ------ 42997/2898522. ------ 1. ==[ start ]==> (((^a.b) b)(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(^z.b))) 3. ==[ beta ]==> (b (^y.(^z.b))) 4. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 42998/2899413. ------ 1. ==[ start ]==> (((a b) c)(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 42999/2899521. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(a (a a)))) REDUCED to normal form. ------ 43000/2899629. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 43001/2899908. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.((^z.z) y))) 3. ==[ eta ]==> (((a b)((^x.x) 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. ------ 43002/2899986. ------ 1. ==[ start ]==> ((^a.(b a))(c a)) 2. ==[ alpha ]==> ((^x.(b x))(c a)) 3. ==[ eta ]==> (b (c a)) REDUCED to normal form. ------ 43003/2900079. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^c.b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.b)) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.b)) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.b)) 5. ==[ beta ]==> (b (^z.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 43004/2900160. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 43005/2900223. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^a.(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 43006/2900253. ------ 1. ==[ start ]==> ((a (^a.a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 43007/2900289. ------ 1. ==[ start ]==> (((a a) a)((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a) a)((^x.(a a))(^y.a))) 3. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 43008/2900316. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 43009/2900343. ------ 1. ==[ start ]==> (((^a.a) b)((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) 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. ------ 43010/2900370. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 43011/2900397. ------ 1. ==[ start ]==> (((a a) b)((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a a) b)((^x.(x x))(^y.b))) 3. ==[ beta ]==> (((a a) b)((^y.b)(^y.b))) 4. ==[ alpha ]==> (((a a) b)((^x.b)(^y.b))) 5. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 43012/2900424. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 43013/2900514. ------ 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. ------ 43014/2900541. ------ 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 (^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. ------ 43015/2900568. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a b)((^y.y) a))) 3. ==[ beta ]==> ((a a)((a b)((^y.y) a))) 4. ==[ alpha ]==> ((a a)((a b)((^x.x) a))) 5. ==[ beta ]==> ((a a)((a b) a)) REDUCED to normal form. ------ 43016/2900721. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 43017/2900829. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.b)((^z.z) a))) 3. ==[ beta ]==> ((a a)((^y.b)((^z.z) a))) 4. ==[ alpha ]==> ((a a)((^x.b)((^y.y) a))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 43018/2900847. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> ((^y.(y y))(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> ((^x.(x x))(((a a) a)(^y.(y y)))) 5. ==[ beta ]==> ((((a a) a)(^y.(y y)))(((a a) a)(^y.(y y)))) 6. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 43019/2900874. ------ 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.(^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. ------ 43020/2900910. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(y y))((a a) a))) 3. ==[ beta ]==> ((a b)((^y.(y y))((a a) a))) 4. ==[ alpha ]==> ((a b)((^x.(x x))((a a) a))) 5. ==[ beta ]==> ((a b)(((a a) a)((a a) a))) REDUCED to normal form. ------ 43021/2900928. ------ 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 ]==> (((^y.y)(^y.y))(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.b))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.b))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.b))) 7. ==[ beta ]==> (((^y.y) a)(^z.b)) 8. ==[ alpha ]==> (((^x.x) a)(^y.b)) 9. ==[ beta ]==> (a (^y.b)) 10. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 43022/2900937. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.a)(a b))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.a)(a b))) 3. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 43023/2900955. ------ 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. ------ 43024/2900964. ------ 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.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. ------ 43025/2900991. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((a a)(^z.z))) REDUCED to normal form. ------ 43026/2901036. ------ 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)(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. ------ 43027/2901045. ------ 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. ------ 43028/2901063. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a b) c)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a b) c)) REDUCED to normal form. ------ 43029/2901153. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((b b)((^y.(y y))(^z.a))) 4. ==[ alpha ]==> ((b b)((^x.(x x))(^y.a))) 5. ==[ beta ]==> ((b b)((^y.a)(^y.a))) 6. ==[ alpha ]==> ((b b)((^x.a)(^y.a))) 7. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 43030/2901279. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(a a)) b)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(a a)) b)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a)) b)) 5. ==[ beta ]==> ((^y.y)((^y1.(a a)) b)) 6. ==[ alpha ]==> ((^x.x)((^y.(a a)) b)) 7. ==[ beta ]==> ((^y.(a a)) b) 8. ==[ alpha ]==> ((^x.(a a)) b) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 43031/2901450. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(b (^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(b (^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.(a a)))) 5. ==[ beta ]==> ((^y.y)(b (^z.(a a)))) 6. ==[ alpha ]==> ((^x.x)(b (^y.(a a)))) 7. ==[ beta ]==> (b (^y.(a a))) 8. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 43032/2901657. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.b))) 5. ==[ beta ]==> ((a (^y.y))(^z.b)) 6. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 43033/2901711. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z)(a a)) a)) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z)(a a)) a)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z)(a a)) a)) 5. ==[ beta ]==> (a (((^z.z)(a a)) a)) 6. ==[ alpha ]==> (a (((^x.x)(a a)) a)) 7. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 43034/2901747. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.b)(^y.(^z.z)))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 43035/2901828. ------ 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.(^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. ------ 43036/2901855. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 43037/2901882. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(^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. ------ 43038/2901909. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 43039/2901954. ------ 1. ==[ start ]==> ((a (^a.b))((^a.b) b)) 2. ==[ alpha ]==> ((a (^x.b))((^y.b) b)) 3. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 43040/2901972. ------ 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. ------ 43041/2901999. ------ 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))((^z1.z1) a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)((^y1.y1) a))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)((^x1.x1) a))) 7. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1) a)) 8. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z) a)) 9. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 43042/2902026. ------ 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. ------ 43043/2902053. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (a a)) a)(a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((a (a a)) a)(a ((^x.x)(^y.y)))) 7. ==[ beta ]==> (((a (a a)) a)(a (^y.y))) 8. ==[ alpha ]==> (((a (a a)) a)(a (^x.x))) REDUCED to normal form. ------ 43044/2902080. ------ 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.x1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.z))((a a) a))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.z))((a a) a))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 43045/2902107. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a a)(a b))) REDUCED to normal form. ------ 43046/2902125. ------ 1. ==[ start ]==> (((^a.b) a)(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)(a (^y.(a a)))) 3. ==[ beta ]==> (b (a (^y.(a a)))) 4. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 43047/2902143. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a b)(^z.z))) 3. ==[ beta ]==> ((^y.b)((a b)(^z.z))) 4. ==[ alpha ]==> ((^x.b)((a b)(^y.y))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 43048/2902224. ------ 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.(z z)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (a a))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 43049/2902287. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(^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. ------ 43050/2902305. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a a)(^z.b))) 3. ==[ beta ]==> (b ((a a)(^z.b))) 4. ==[ alpha ]==> (b ((a a)(^x.b))) REDUCED to normal form. ------ 43051/2902314. ------ 1. ==[ start ]==> (((a b) a)((^a.a)(a b))) 2. ==[ alpha ]==> (((a b) a)((^x.x)(a b))) 3. ==[ beta ]==> (((a b) a)(a b)) REDUCED to normal form. ------ 43052/2902332. ------ 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. ------ 43053/2902341. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.b)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.b)) b) REDUCED to normal form. ------ 43054/2902359. ------ 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) b)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) b)) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 43055/2902395. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 43056/2902422. ------ 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))(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 43057/2902449. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.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. ------ 43058/2902503. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(^z.b))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.b)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.b)) REDUCED to normal form. ------ 43059/2902521. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.b) a)) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.b) a)) 3. ==[ beta ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 43060/2902539. ------ 1. ==[ start ]==> (((a a)(a b))(((a a) a)(a a))) REDUCED to normal form. ------ 43061/2902566. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y)(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. ------ 43062/2902593. ------ 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))((^x1.x1) a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (a a))((^z.z) a))) 5. ==[ beta ]==> ((a (^y.y))((a (a a))((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.x))((a (a a))((^y.y) a))) 7. ==[ beta ]==> ((a (^x.x))((a (a a)) a)) REDUCED to normal form. ------ 43063/2902620. ------ 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. ------ 43064/2902647. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y) a)((a (^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x) a)((a (^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (a ((a (^y.y))((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (a ((a (^x.x))((^y.y)(^z.z)))) 9. ==[ beta ]==> (a ((a (^x.x))(^z.z))) 10. ==[ alpha ]==> (a ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 43065/2902674. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a a)((a a) a))) REDUCED to normal form. ------ 43066/2902692. ------ 1. ==[ start ]==> (((^a.b) b)(a (^a.b))) 2. ==[ alpha ]==> (((^x.b) b)(a (^y.b))) 3. ==[ beta ]==> (b (a (^y.b))) 4. ==[ alpha ]==> (b (a (^x.b))) REDUCED to normal form. ------ 43067/2902737. ------ 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))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 43068/2902764. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a (a a))(^x1.a))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.a))) 5. ==[ beta ]==> ((a (a a))(^y.a)) 6. ==[ alpha ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 43069/2902818. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (^a.a))(^b.(^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. ------ 43070/2902899. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> (b (((^x1.x1)(^y1.y1)) b)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) b)) 5. ==[ beta ]==> (b ((^y.y) b)) 6. ==[ alpha ]==> (b ((^x.x) b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 43071/2902908. ------ 1. ==[ start ]==> (((a b) b)((^b.(^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. ------ 43072/2902935. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))(^z.a))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.a))) 5. ==[ beta ]==> (((a a) a)((^y.a)(^y.a))) 6. ==[ alpha ]==> (((a a) a)((^x.a)(^y.a))) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 43073/2902962. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 43074/2902989. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 43075/2903124. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(c (^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c (^z.(z z)))) REDUCED to normal form. ------ 43076/2903151. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(b (^b.(^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. ------ 43077/2903340. ------ 1. ==[ start ]==> (((^a.b) c)((^b.(^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. ------ 43078/2903583. ------ 1. ==[ start ]==> (((a b) c)(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(a (^x.(^y.y)))) REDUCED to normal form. ------ 43079/2903610. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 43080/2903637. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 43081/2903655. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 43082/2903682. ------ 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 x1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.(x1 x1)))) 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. ------ 43083/2903691. ------ 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. ------ 43084/2903718. ------ 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))) 5. ==[ beta ]==> ((a (^x.b))((^z.z)(^z.z))) 6. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a (^x.b))(^z.z)) 8. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 43085/2903736. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((^y.y) a) b)) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y) a) b)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x) a) b)) 5. ==[ beta ]==> ((((a a) a)((a a) a))(a b)) REDUCED to normal form. ------ 43086/2903772. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 43087/2903799. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.(z z))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(y y))) REDUCED to normal form. ------ 43088/2903817. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 43089/2903880. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(b (^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b (^z.a))) REDUCED to normal form. ------ 43090/2903970. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(b c)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(b c)) 3. ==[ beta ]==> ((a (a b))(b c)) REDUCED to normal form. ------ 43091/2904051. ------ 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. ------ 43092/2904078. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(a ((^y.y) a))) 3. ==[ beta ]==> (((a b) a)(a ((^y.y) a))) 4. ==[ alpha ]==> (((a b) a)(a ((^x.x) a))) 5. ==[ beta ]==> (((a b) a)(a a)) REDUCED to normal form. ------ 43093/2904105. ------ 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))) REDUCED to normal form. ------ 43094/2904132. ------ 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. ------ 43095/2904159. ------ 1. ==[ start ]==> ((a (b a))(c a)) REDUCED to normal form. ------ 43096/2904249. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a a) b)) 3. ==[ beta ]==> (((^y.b)(^y.b))((a a) b)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a a) b)) 5. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 43097/2904330. ------ 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 ((a a)(^z.z))) 4. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 43098/2904393. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(a (^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(a (^y.y))) REDUCED to normal form. ------ 43099/2904666. ------ 1. ==[ start ]==> ((^a.(^b.a))(^a.(b a))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(b z))) 3. ==[ eta ]==> ((^x.(^y.x)) b) 4. ==[ beta ]==> (^y.b) 5. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 43100/2906304. ------ 1. ==[ start ]==> ((^a.(a b))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(^z.(y y)))) 3. ==[ beta ]==> ((^y.(^z.(y y))) b) 4. ==[ alpha ]==> ((^x.(^y.(x x))) b) 5. ==[ beta ]==> (^y.(b b)) 6. ==[ alpha ]==> (^x.(b b)) REDUCED to normal form. ------ 43101/2906691. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^a.(a b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(z b))) 3. ==[ beta ]==> (^y.((^z.(z b))(^z.(z b)))) 4. ==[ alpha ]==> (^x.((^y.(y b))(^z.(z b)))) 5. ==[ beta ]==> (^x.((^z.(z b)) b)) 6. ==[ alpha ]==> (^x.((^y.(y b)) b)) 7. ==[ beta ]==> (^x.(b b)) REDUCED to normal form. ------ 43102/2908329. ------ 1. ==[ start ]==> ((^a.(b a))(^a.(^b.a))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(^z.y))) 3. ==[ eta ]==> (b (^y.(^z.y))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 43103/2908566. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b) c) 2. ==[ alpha ]==> ((((a a)(^x.x)) b) c) REDUCED to normal form. ------ 43104/2908644. ------ 1. ==[ start ]==> ((^a.b)((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.b)((^y.(a a))(^z.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 43105/2908725. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^z.(^x1.x1))(^y1.a))(^y.y)) 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. ------ 43106/2908842. ------ 1. ==[ start ]==> ((^a.(^b.a))(a (b a))) 2. ==[ alpha ]==> ((^x.(^y.x))(a (b a))) 3. ==[ beta ]==> (^y.(a (b a))) 4. ==[ alpha ]==> (^x.(a (b a))) REDUCED to normal form. ------ 43107/2908845. ------ 1. ==[ start ]==> ((a (^b.a))(^a.(b a))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(b y))) 3. ==[ eta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 43108/2909085. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 43109/2909184. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.b)((^z.z) a))) 3. ==[ beta ]==> (((^y.b)((^z.z) a))(((^y.b)((^z.z) a))((^y.b)((^z.z) a)))) 4. ==[ alpha ]==> (((^x.b)((^y.y) a))(((^z.b)((^x1.x1) a))((^y1.b)((^z1.z1) a)))) 5. ==[ beta ]==> (b (((^z.b)((^x1.x1) a))((^y1.b)((^z1.z1) a)))) 6. ==[ alpha ]==> (b (((^x.b)((^y.y) a))((^z.b)((^x1.x1) a)))) 7. ==[ beta ]==> (b (b ((^z.b)((^x1.x1) a)))) 8. ==[ alpha ]==> (b (b ((^x.b)((^y.y) a)))) 9. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 43110/2909340. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 43111/2909535. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.a)(^y1.b))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 43112/2909967. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((^y.(y y))((^z.z)(^x1.x1)))((^y.(y y))((^z.z)(^x1.x1))))((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.(x x))((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1))))((^x2.(x2 x2))((^y2.y2)(^z2.z2)))) 5. ==[ beta ]==> (((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1))))((^x2.(x2 x2))((^y2.y2)(^z2.z2)))) 6. ==[ alpha ]==> (((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(^x2.x2))))((^y2.(y2 y2))((^z2.z2)(^x3.x3)))) 7. ==[ beta ]==> ((((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(^x2.x2))))((^y2.(y2 y2))((^z2.z2)(^x3.x3)))) 8. ==[ alpha ]==> ((((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1))))((^x2.(x2 x2))((^y2.y2)(^z2.z2)))) 9. ==[ beta ]==> ((((^y.y)(^z.z))((^x1.(x1 x1))((^y1.y1)(^z1.z1))))((^x2.(x2 x2))((^y2.y2)(^z2.z2)))) 10. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.(z z))((^x1.x1)(^y1.y1))))((^z1.(z1 z1))((^x2.x2)(^y2.y2)))) 11. ==[ beta ]==> (((^y.y)((^z.(z z))((^x1.x1)(^y1.y1))))((^z1.(z1 z1))((^x2.x2)(^y2.y2)))) 12. ==[ alpha ]==> (((^x.x)((^y.(y y))((^z.z)(^x1.x1))))((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 13. ==[ beta ]==> (((^y.(y y))((^z.z)(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 14. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 15. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 16. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 17. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 18. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 19. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 20. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 21. ==[ beta ]==> ((^y.y)((^z.(z z))((^x1.x1)(^y1.y1)))) 22. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(^x1.x1)))) 23. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.x1))) 24. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.z))) 25. ==[ beta ]==> (((^y.y)(^z.z))((^y.y)(^z.z))) 26. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 27. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 28. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 29. ==[ beta ]==> ((^y.y)(^z.z)) 30. ==[ alpha ]==> ((^x.x)(^y.y)) 31. ==[ beta ]==> (^y.y) 32. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 43113/2910300. ------ 1. ==[ start ]==> ((^a.(^a.b))((a b)(a a))) 2. ==[ alpha ]==> ((^x.(^y.b))((a b)(a a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 43114/2910480. ------ 1. ==[ start ]==> ((^a.(a b))(a (^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))(a (^y.(a a)))) 3. ==[ beta ]==> ((a (^y.(a a))) b) 4. ==[ alpha ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 43115/2910483. ------ 1. ==[ start ]==> ((a (a b))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((a (a b))(^x.(^y.(x x)))) REDUCED to normal form. ------ 43116/2910663. ------ 1. ==[ start ]==> (((a b) a)(^c.(^a.b))) 2. ==[ alpha ]==> (((a b) a)(^x.(^y.b))) REDUCED to normal form. ------ 43117/2910867. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(a (a b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(a (a b))) 3. ==[ beta ]==> (^y.((a (a b))(a (a b)))) 4. ==[ alpha ]==> (^x.((a (a b))(a (a b)))) REDUCED to normal form. ------ 43118/2910870. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^a.(a b))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(y b))) REDUCED to normal form. ------ 43119/2911050. ------ 1. ==[ start ]==> (((a b)(a a))(^a.(^a.b))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(^y.b))) REDUCED to normal form. ------ 43120/2911383. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.((x1 x1) x1))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.((x1 x1) x1))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.((y1 y1) y1))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.((y1 y1) y1))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.((x1 x1) x1))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.((x1 x1) x1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((z z) z))) 9. ==[ beta ]==> ((^y.y)(^z.((z z) z))) 10. ==[ alpha ]==> ((^x.x)(^y.((y y) y))) 11. ==[ beta ]==> (^y.((y y) y)) 12. ==[ alpha ]==> (^x.((x x) x)) REDUCED to normal form. ------ 43121/2911671. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) a)(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a) a)(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a) a) a)(^x.(^z.z))) 6. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.y))) REDUCED to normal form. ------ 43122/2911749. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((((^z.a)(^x1.a))((^z.a)(^x1.a)))(^y.y)) 4. ==[ alpha ]==> ((((^x.a)(^y.a))((^z.a)(^x1.a)))(^y1.y1)) 5. ==[ beta ]==> ((a ((^z.a)(^x1.a)))(^y1.y1)) 6. ==[ alpha ]==> ((a ((^x.a)(^y.a)))(^z.z)) 7. ==[ beta ]==> ((a a)(^z.z)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 43123/2911923. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 43124/2912040. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 43125/2912166. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(z (z z)))) 3. ==[ beta ]==> (b (^z.(z (z z)))) 4. ==[ alpha ]==> (b (^x.(x (x x)))) REDUCED to normal form. ------ 43126/2912265. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 43127/2912346. ------ 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))(^x.a)) REDUCED to normal form. ------ 43128/2912427. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^b.(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.(^z.a))) 3. ==[ beta ]==> (((a b) a)(^y.(^z.a))) 4. ==[ alpha ]==> (((a b) a)(^x.(^y.a))) REDUCED to normal form. ------ 43129/2912505. ------ 1. ==[ start ]==> ((^a.(b a))(a (^b.a))) 2. ==[ alpha ]==> ((^x.(b x))(a (^y.a))) 3. ==[ eta ]==> (b (a (^y.a))) 4. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 43130/2912508. ------ 1. ==[ start ]==> ((a (b a))(^a.(^b.a))) 2. ==[ alpha ]==> ((a (b a))(^x.(^y.x))) REDUCED to normal form. ------ 43131/2912742. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^b.a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.a)) REDUCED to normal form. ------ 43132/2912790. ------ 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)) REDUCED to normal form. ------ 43133/2912826. ------ 1. ==[ start ]==> ((a b)((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((a b)((^x.(a a))(^y.a))) 3. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 43134/2912907. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.(^a.a))(^c.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. ------ 43135/2912997. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 43136/2913024. ------ 1. ==[ start ]==> ((a (^b.a))(a (b a))) 2. ==[ alpha ]==> ((a (^x.a))(a (b a))) REDUCED to normal form. ------ 43137/2913060. ------ 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 ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 43138/2913105. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a b)((^z.z) a))) 3. ==[ beta ]==> ((^y.a)((a b)((^z.z) a))) 4. ==[ alpha ]==> ((^x.a)((a b)((^y.y) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 43139/2913132. ------ 1. ==[ start ]==> (((^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 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. ------ 43140/2913186. ------ 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. ------ 43141/2913213. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^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. ------ 43142/2913267. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 43143/2913339. ------ 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. ------ 43144/2913357. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a b)(^b.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. ------ 43145/2913366. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.b)((^y.y) a))) 3. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 43146/2913438. ------ 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. ------ 43147/2913465. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x) 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. ------ 43148/2913492. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 43149/2913519. ------ 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. ------ 43150/2913546. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a)(^x1.x1)) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a)(^x1.x1)) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 43151/2913573. ------ 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. ------ 43152/2913609. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.b)(^y.a))) 3. ==[ beta ]==> (((a a)(a (a a))) b) REDUCED to normal form. ------ 43153/2913663. ------ 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. ------ 43154/2913717. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.b))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 43155/2913726. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(c (a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c (a b))) 3. ==[ beta ]==> ((^y.(^z.z))(c (a b))) 4. ==[ alpha ]==> ((^x.(^y.y))(c (a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 43156/2913753. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 43157/2913807. ------ 1. ==[ start ]==> (((^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))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(a a))(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))(a a))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))(a a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a a))) 7. ==[ beta ]==> (((^y.y)(a a))(a a)) 8. ==[ alpha ]==> (((^x.x)(a a))(a a)) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 43158/2913816. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(a a)) b)) 3. ==[ beta ]==> (((a (a a)) b)(a a)) REDUCED to normal form. ------ 43159/2913843. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.b) c)) 3. ==[ beta ]==> (((^y.y) a)((^z.b) c)) 4. ==[ alpha ]==> (((^x.x) a)((^y.b) c)) 5. ==[ beta ]==> (a ((^y.b) c)) 6. ==[ alpha ]==> (a ((^x.b) c)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 43160/2913861. ------ 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. ------ 43161/2913870. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.a) d)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a) d)) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 43162/2913888. ------ 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. ------ 43163/2913942. ------ 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)((a a) a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a)((a a) a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a ((a a) a))) REDUCED to normal form. ------ 43164/2914041. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(a a))(a a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(a a)) REDUCED to normal form. ------ 43165/2914068. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)(a (^z.z)))) 5. ==[ beta ]==> ((a a)((^y.b)(a (^z.z)))) 6. ==[ alpha ]==> ((a a)((^x.b)(a (^y.y)))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 43166/2914122. ------ 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. ------ 43167/2914149. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(x x))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y)(^z.z))((^y.y)(^z.z)))) 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. ------ 43168/2914275. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a b) b)) 3. ==[ beta ]==> (((^y.y) b)((a b) b)) 4. ==[ alpha ]==> (((^x.x) b)((a b) b)) 5. ==[ beta ]==> (b ((a b) b)) REDUCED to normal form. ------ 43169/2914464. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(a a)) a)) 3. ==[ beta ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form. ------ 43170/2914482. ------ 1. ==[ start ]==> ((a (^a.b))((a b)(a a))) 2. ==[ alpha ]==> ((a (^x.b))((a b)(a a))) REDUCED to normal form. ------ 43171/2914635. ------ 1. ==[ start ]==> ((((a a) a)(a a))(b (^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a a))(b (^x.b))) REDUCED to normal form. ------ 43172/2914662. ------ 1. ==[ start ]==> ((a (a b))(a (^b.(a a)))) 2. ==[ alpha ]==> ((a (a b))(a (^x.(a a)))) REDUCED to normal form. ------ 43173/2914815. ------ 1. ==[ start ]==> ((((a a) a) b)((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((((a a) a) b)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 43174/2914842. ------ 1. ==[ start ]==> (((a b) a)((a a)(^a.b))) 2. ==[ alpha ]==> (((a b) a)((a a)(^x.b))) REDUCED to normal form. ------ 43175/2914869. ------ 1. ==[ start ]==> (((a a)(^a.b))((a b) a)) 2. ==[ alpha ]==> (((a a)(^x.b))((a b) a)) REDUCED to normal form. ------ 43176/2914923. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(^y1.y1)) c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(^y1.y1)) c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1)) c)) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1) c)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) c)) 7. ==[ beta ]==> ((a (^x.(^y.y))) c) REDUCED to normal form. ------ 43177/2915022. ------ 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. ------ 43178/2915049. ------ 1. ==[ start ]==> ((a (^b.(a a)))(a (a b))) 2. ==[ alpha ]==> ((a (^x.(a a)))(a (a b))) REDUCED to normal form. ------ 43179/2915202. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(b (^c.a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(b (^y.a))) REDUCED to normal form. ------ 43180/2915229. ------ 1. ==[ start ]==> (((a b)(a a))(a (^a.b))) 2. ==[ alpha ]==> (((a b)(a a))(a (^x.b))) REDUCED to normal form. ------ 43181/2915436. ------ 1. ==[ start ]==> (((a b) b)(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a b) b)(((^x.x)(^y.y)) b)) 3. ==[ beta ]==> (((a b) b)((^y.y) b)) 4. ==[ alpha ]==> (((a b) b)((^x.x) b)) 5. ==[ beta ]==> (((a b) b) b) REDUCED to normal form. ------ 43182/2915508. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(c (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(c (a (a a)))) 3. ==[ beta ]==> ((^y.y)(c (a (a a)))) 4. ==[ alpha ]==> ((^x.x)(c (a (a a)))) 5. ==[ beta ]==> (c (a (a a))) REDUCED to normal form. ------ 43183/2915562. ------ 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 ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(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. ------ 43184/2915571. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^c.a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a) a)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 43185/2915598. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1)) b)) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z)) b)) 7. ==[ beta ]==> (((^y.(^z.z)) b)((^y.(^z.z)) b)) 8. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1)) b)) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) b)) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 11. ==[ beta ]==> ((^y.(^z.z)) b) 12. ==[ alpha ]==> ((^x.(^y.y)) b) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 43186/2915625. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(a a)) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(y y)) c)) 3. ==[ beta ]==> ((((a a) a)(^x.a))(c c)) REDUCED to normal form. ------ 43187/2915643. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^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. ------ 43188/2915742. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.(^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. ------ 43189/2915769. ------ 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 (^z.z)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> ((a ((a a) a))((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> ((a ((a a) a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 43190/2915796. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.a)((^x1.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. ------ 43191/2915823. ------ 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. ------ 43192/2915850. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.x)((^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. ------ 43193/2915868. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b) c)(((^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. ------ 43194/2915877. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.(^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. ------ 43195/2915904. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))(^y.y)) 8. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 43196/2915931. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 43197/2915967. ------ 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)(b (a (a a)))) 4. ==[ alpha ]==> ((^x.x)(b (a (a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 43198/2916102. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a a)(a (a a)))) 3. ==[ beta ]==> (b ((a a)(a (a a)))) REDUCED to normal form. ------ 43199/2916138. ------ 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. ------ 43200/2916165. ------ 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)))) 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. ------ 43201/2916219. ------ 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 z)))) REDUCED to normal form. ------ 43202/2916246. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (a a)) a)) 3. ==[ beta ]==> ((a (^y.b))((a (a a)) a)) 4. ==[ alpha ]==> ((a (^x.b))((a (a a)) a)) REDUCED to normal form. ------ 43203/2916300. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a (^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.y1)) c)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1)) c)) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1)) c)) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) c)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 43204/2916345. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(a (a (a a)))) 3. ==[ beta ]==> (b (a (a (a a)))) REDUCED to normal form. ------ 43205/2916354. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 43206/2916381. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 43207/2916444. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(a (^y.(y y)))) REDUCED to normal form. ------ 43208/2916471. ------ 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) REDUCED to normal form. ------ 43209/2916498. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 43210/2916525. ------ 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. ------ 43211/2916552. ------ 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)(^z1.z1))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.a)(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(^y1.y1))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.x1))) 7. ==[ beta ]==> ((^y.y)((^z.a)(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)((^y.a)(^z.z))) 9. ==[ beta ]==> ((^y.a)(^z.z)) 10. ==[ alpha ]==> ((^x.a)(^y.y)) 11. ==[ beta ]==> a REDUCED to normal form. ------ 43212/2916579. ------ 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)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 43213/2916606. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 43214/2916660. ------ 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. ------ 43215/2916687. ------ 1. ==[ start ]==> ((a (b a))(a (^b.a))) 2. ==[ alpha ]==> ((a (b a))(a (^x.a))) REDUCED to normal form. ------ 43216/2916777. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(b (a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(b (a a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(b (a a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(b (a a))) 5. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 43217/2916858. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(b a)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(b a)) 3. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 43218/2916921. ------ 1. ==[ start ]==> ((((a a)(^a.a)) 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. ------ 43219/2916947. ------ 1. ==[ start ]==> (^a.((b a) a)) 2. ==[ alpha ]==> (^x.((b x) x)) REDUCED to normal form. ------ 43220/2916948. ------ 1. ==[ start ]==> (a ((b a) a)) REDUCED to normal form. ------ 43221/2919228. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(^x1.z))) 3. ==[ beta ]==> (^y.((^z.(^x1.z))(^z.(^x1.z)))) 4. ==[ alpha ]==> (^x.((^y.(^z.y))(^x1.(^y1.x1)))) 5. ==[ beta ]==> (^x.(^z.(^x1.(^y1.x1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.z)))) REDUCED to normal form. ------ 43222/2920866. ------ 1. ==[ start ]==> ((^a.(b a))(^b.c)) 2. ==[ alpha ]==> ((^x.(b x))(^y.c)) 3. ==[ eta ]==> (b (^y.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 43223/2921136. ------ 1. ==[ start ]==> ((^a.a)((b a) a)) 2. ==[ alpha ]==> ((^x.x)((b a) a)) 3. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 43224/2921163. ------ 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)) REDUCED to normal form. ------ 43225/2921190. ------ 1. ==[ start ]==> ((^a.b)(((^a.a)(a a)) c)) 2. ==[ alpha ]==> ((^x.b)(((^y.y)(a a)) c)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 43226/2921226. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b)(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 43227/2921460. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(a a)) c)) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(a a)) c)) 3. ==[ eta ]==> ((^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. ------ 43228/2921631. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 43229/2921730. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a b)(^b.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. ------ 43230/2921955. ------ 1. ==[ start ]==> ((^a.(^b.(^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. ------ 43231/2922513. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (a a))(^b.(^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. ------ 43232/2922606. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> (a (^z.((^x1.x1)(a a)))) 6. ==[ alpha ]==> (a (^x.((^y.y)(a a)))) 7. ==[ beta ]==> (a (^x.(a a))) REDUCED to normal form. ------ 43233/2922831. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 43234/2923020. ------ 1. ==[ start ]==> (((^a.b) a)(^c.(a b))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(a b))) 3. ==[ beta ]==> (b (^y.(a b))) 4. ==[ alpha ]==> (b (^x.(a b))) REDUCED to normal form. ------ 43235/2923038. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.(z z)))) 3. ==[ beta ]==> ((^y.b)(^z.(^x1.(z z)))) 4. ==[ alpha ]==> ((^x.b)(^y.(^z.(y y)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 43236/2923227. ------ 1. ==[ start ]==> (((^a.a)(a b))(^b.(a b))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(a y))) 3. ==[ eta ]==> (((^x.x)(a b)) a) 4. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 43237/2923413. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.z)(^x1.b))) 3. ==[ beta ]==> (^y.(((^z.z)(^x1.b))((^z.z)(^x1.b)))) 4. ==[ alpha ]==> (^x.(((^y.y)(^z.b))((^x1.x1)(^y1.b)))) 5. ==[ beta ]==> (^x.((^z.b)((^x1.x1)(^y1.b)))) 6. ==[ alpha ]==> (^x.((^y.b)((^z.z)(^x1.b)))) 7. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 43238/2923416. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.y))) REDUCED to normal form. ------ 43239/2923587. ------ 1. ==[ start ]==> (((^a.b) b)(^c.((a a) a))) 2. ==[ alpha ]==> (((^x.b) b)(^y.((a a) a))) 3. ==[ beta ]==> (b (^y.((a a) a))) 4. ==[ alpha ]==> (b (^x.((a a) a))) REDUCED to normal form. ------ 43240/2923620. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((a a) a)(^z.z))) 3. ==[ beta ]==> ((^y.y)((((a a) a)(^z.z))(((a a) a)(^z.z)))) 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))) REDUCED to normal form. ------ 43241/2923929. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.(^y1.a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(^z1.a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.a))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.a))) 9. ==[ beta ]==> ((^y.y)(^z.(^x1.a))) 10. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 11. ==[ beta ]==> (^y.(^z.a)) 12. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 43242/2923938. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.((z z) z))) REDUCED to normal form. ------ 43243/2924478. ------ 1. ==[ start ]==> (((a b) c)(^c.(a (a a)))) 2. ==[ alpha ]==> (((a b) c)(^x.(a (a a)))) REDUCED to normal form. ------ 43244/2924712. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 43245/2924721. ------ 1. ==[ start ]==> (((a b)(^b.a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(y (y y)))) REDUCED to normal form. ------ 43246/2924973. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^c.c)) 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. ------ 43247/2925051. ------ 1. ==[ start ]==> ((^a.(b a))((^a.a) c)) 2. ==[ alpha ]==> ((^x.(b x))((^y.y) c)) 3. ==[ eta ]==> (b ((^y.y) c)) 4. ==[ alpha ]==> (b ((^x.x) c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 43248/2925054. ------ 1. ==[ start ]==> ((a (b a))(^b.c)) 2. ==[ alpha ]==> ((a (b a))(^x.c)) REDUCED to normal form. ------ 43249/2925225. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^a.(^a.(^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. ------ 43250/2925288. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^a.(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(y y))) REDUCED to normal form. ------ 43251/2925327. ------ 1. ==[ start ]==> ((a a)((b a) a)) REDUCED to normal form. ------ 43252/2925354. ------ 1. ==[ start ]==> ((a (a a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((a (a a))(((a a)(^x.x)) b)) REDUCED to normal form. ------ 43253/2925381. ------ 1. ==[ start ]==> ((a b)(((^a.a)(a a)) c)) 2. ==[ alpha ]==> ((a b)(((^x.x)(a a)) c)) 3. ==[ beta ]==> ((a b)((a a) c)) REDUCED to normal form. ------ 43254/2925390. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((a a)((^y.(a a))(^z.a))) 4. ==[ alpha ]==> ((a a)((^x.(a a))(^y.a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 43255/2925417. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 43256/2925471. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^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. ------ 43257/2925498. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^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. ------ 43258/2925525. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 43259/2925561. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b ((a a)(^z.z)))) REDUCED to normal form. ------ 43260/2925615. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((a a)(^z.z))(a a))) 3. ==[ beta ]==> ((^y.y)(((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. ------ 43261/2925651. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.(a a)) c)) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a)) c)) 3. ==[ beta ]==> ((a a)((^y.(a a)) c)) 4. ==[ alpha ]==> ((a a)((^x.(a a)) c)) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 43262/2925696. ------ 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. ------ 43263/2925723. ------ 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)((^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. ------ 43264/2925750. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (a a))((a a) a))) REDUCED to normal form. ------ 43265/2925777. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) a)(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (a b))) REDUCED to normal form. ------ 43266/2925804. ------ 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.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.y))((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 (^y.y))(a a))) REDUCED to normal form. ------ 43267/2925822. ------ 1. ==[ start ]==> ((a (^a.(a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 43268/2925867. ------ 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))) REDUCED to normal form. ------ 43269/2925894. ------ 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. ------ 43270/2925921. ------ 1. ==[ start ]==> ((a (a (a a)))((a b)(^b.a))) 2. ==[ alpha ]==> ((a (a (a a)))((a b)(^x.a))) REDUCED to normal form. ------ 43271/2925930. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(y y))((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.b)((^z.z) a))) 5. ==[ beta ]==> (((^y.b)((^z.z) a))((^y.b)((^z.z) a))) 6. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.b)((^x1.x1) a))) 7. ==[ beta ]==> (b ((^z.b)((^x1.x1) a))) 8. ==[ alpha ]==> (b ((^x.b)((^y.y) a))) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 43272/2925957. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 43273/2926011. ------ 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 ]==> (((^y.y)(^y.y))((^z.(z z))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))((a a) a))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))((a a) a))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))((a a) a))) 7. ==[ beta ]==> ((^y.(y y))((a a) a)) 8. ==[ alpha ]==> ((^x.(x x))((a a) a)) 9. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 43274/2926038. ------ 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. ------ 43275/2926065. ------ 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.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. ------ 43276/2926146. ------ 1. ==[ start ]==> ((a (^b.(^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 a)) REDUCED to normal form. ------ 43277/2926164. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a b) c)) REDUCED to normal form. ------ 43278/2926281. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.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. ------ 43279/2926308. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(^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. ------ 43280/2926371. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x)(a a))(a a))) 3. ==[ beta ]==> (((a (a a)) b)((a a)(a a))) REDUCED to normal form. ------ 43281/2926398. ------ 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. ------ 43282/2926425. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 43283/2926452. ------ 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)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)(a (a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a (a a))) REDUCED to normal form. ------ 43284/2926479. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))((a (a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))((a (a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.a))((a (a a))(^z.z))) 6. ==[ alpha ]==> ((a (^x.a))((a (a a))(^y.y))) REDUCED to normal form. ------ 43285/2926506. ------ 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. ------ 43286/2926533. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a (^x1.x1))(a b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(a b))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(a b))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(a b))) 7. ==[ beta ]==> ((a (^y.y))(a b)) 8. ==[ alpha ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 43287/2926596. ------ 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 (^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. ------ 43288/2926623. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a b)(^a.(^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. ------ 43289/2926650. ------ 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. ------ 43290/2926677. ------ 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))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^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)((^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. ------ 43291/2926704. ------ 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. ------ 43292/2926740. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^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)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 43293/2926794. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.z)((^x1.x1)(a a)))) 5. ==[ beta ]==> (a ((^z.z)((^x1.x1)(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. ------ 43294/2926902. ------ 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.(^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. ------ 43295/2926956. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.a)(^x1.a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(^z.a))) 7. ==[ beta ]==> ((a a)((^y.a)(^z.a))) 8. ==[ alpha ]==> ((a a)((^x.a)(^y.a))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 43296/2926965. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(c ((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(c ((a a) a))) REDUCED to normal form. ------ 43297/2926992. ------ 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. ------ 43298/2927019. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(a ((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(a (a a))) REDUCED to normal form. ------ 43299/2927055. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.b) b)) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.b) b)) 3. ==[ beta ]==> (((a a)((a a) a)) b) REDUCED to normal form. ------ 43300/2927208. ------ 1. ==[ start ]==> (((^a.b) a)((a a)(a b))) 2. ==[ alpha ]==> (((^x.b) a)((a a)(a b))) 3. ==[ beta ]==> (b ((a a)(a b))) REDUCED to normal form. ------ 43301/2927226. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(a (^z.(a a)))) 3. ==[ beta ]==> ((^y.b)(a (^z.(a a)))) 4. ==[ alpha ]==> ((^x.b)(a (^y.(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 43302/2927307. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))((^y1.y1) a))) IRREDUCIBLE: cycle. ------ 43303/2927388. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (b ((^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. ------ 43304/2927415. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 43305/2927442. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.b)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.z))) 5. ==[ beta ]==> ((^y.b)(^z.z)) 6. ==[ alpha ]==> ((^x.b)(^y.y)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 43306/2927496. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.(^a.a))(^b.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. ------ 43307/2927577. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(^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. ------ 43308/2927586. ------ 1. ==[ start ]==> (((a b)(^a.a))(b ((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.x))(b ((a a) a))) REDUCED to normal form. ------ 43309/2927604. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.b))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.b)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.b)) REDUCED to normal form. ------ 43310/2927622. ------ 1. ==[ start ]==> (((a a)(a b))((^a.b) a)) 2. ==[ alpha ]==> (((a a)(a b))((^x.b) a)) 3. ==[ beta ]==> (((a a)(a b)) b) REDUCED to normal form. ------ 43311/2927676. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1)) c)) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z)) c)) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 43312/2927775. ------ 1. ==[ start ]==> (((^a.b) b)((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.b) b)((a a)((a a) a))) 3. ==[ beta ]==> (b ((a a)((a a) a))) REDUCED to normal form. ------ 43313/2927811. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x)(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. ------ 43314/2927820. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^c.a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)(a a))) 3. ==[ beta ]==> ((^y.(a a))((^z.a)(a a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.a)(a a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 43315/2927847. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.(^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. ------ 43316/2927901. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)(a (a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)(a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(a (a a)))) 5. ==[ beta ]==> ((^y.y)((^y1.a)(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(a (a a)))) 7. ==[ beta ]==> ((^y.a)(a (a a))) 8. ==[ alpha ]==> ((^x.a)(a (a a))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 43317/2927982. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 43318/2928036. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((a a)((^y.(y y))(^z.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. ------ 43319/2928063. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 43320/2928072. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(c (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(c (a (a a)))) REDUCED to normal form. ------ 43321/2928126. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a ((a a) a))) REDUCED to normal form. ------ 43322/2928153. ------ 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)(^y1.y1))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1)(^y1.y1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(^x1.x1))(a a))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z)(^x1.x1))(a a))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))(a a))) 7. ==[ beta ]==> ((((^y.y)(^z.z))(a a))(((^y.y)(^z.z))(a a))) 8. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((^z.z)(^x1.x1))(a a))) 9. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(^x1.x1))(a a))) 10. ==[ alpha ]==> (((^x.x)(a a))(((^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. ------ 43323/2928180. ------ 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. ------ 43324/2928207. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 43325/2928234. ------ 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)))) REDUCED to normal form. ------ 43326/2928297. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(a b))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 43327/2928324. ------ 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. ------ 43328/2928351. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((^z.z) a)(^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. ------ 43329/2928378. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a (^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a (a a))((a (^y.y))(^z.(z z)))) 6. ==[ alpha ]==> ((a (a a))((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 43330/2928405. ------ 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. ------ 43331/2928432. ------ 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 (^x.x)))((^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. ------ 43332/2928459. ------ 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. ------ 43333/2928522. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 43334/2928657. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 43335/2928666. ------ 1. ==[ start ]==> (((a b) c)((a a)(a (a a)))) REDUCED to normal form. ------ 43336/2928738. ------ 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)))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 43337/2928765. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))((^z1.z1) 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. ------ 43338/2928819. ------ 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))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)(^y.y))) 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. ------ 43339/2928855. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(c (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(c (a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(c (a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c (a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(c (a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(c (a (^z.z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 43340/2928882. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(b ((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(b a)) REDUCED to normal form. ------ 43341/2928900. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^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. ------ 43342/2928909. ------ 1. ==[ start ]==> (((a b)(^b.a))(a (a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(a (a (a a)))) REDUCED to normal form. ------ 43343/2928936. ------ 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. ------ 43344/2928963. ------ 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 (^x1.x1)))) REDUCED to normal form. ------ 43345/2929026. ------ 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)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) 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. ------ 43346/2929053. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 43347/2929080. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((a a)(^x.a))) REDUCED to normal form. ------ 43348/2929107. ------ 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. ------ 43349/2929134. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((a (^x.x)) b)) REDUCED to normal form. ------ 43350/2929161. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a a) c)) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a a) c)) 3. ==[ beta ]==> (((a b) a)((a a) c)) REDUCED to normal form. ------ 43351/2929188. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^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 (^x.x))) a) REDUCED to normal form. ------ 43352/2929215. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 43353/2929242. ------ 1. ==[ start ]==> ((a (b a))((^a.a) c)) 2. ==[ alpha ]==> ((a (b a))((^x.x) c)) 3. ==[ beta ]==> ((a (b a)) c) REDUCED to normal form. ------ 43354/2929332. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(^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. ------ 43355/2929413. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(a (^a.(^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. ------ 43356/2929476. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(a (a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(a (a a))) REDUCED to normal form. ------ 43357/2931405. ------ 1. ==[ start ]==> ((^a.(a b))(^c.(a b))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(a b))) 3. ==[ beta ]==> ((^y.(a b)) b) 4. ==[ alpha ]==> ((^x.(a b)) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 43358/2933430. ------ 1. ==[ start ]==> ((^a.(b a))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(a (^z.z)))) 3. ==[ eta ]==> (b (^y.(a (^z.z)))) 4. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 43359/2933718. ------ 1. ==[ start ]==> ((^a.(^a.a))((b a) a)) 2. ==[ alpha ]==> ((^x.(^y.y))((b a) a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 43360/2933982. ------ 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. ------ 43361/2934033. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ eta ]==> ((^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. ------ 43362/2934486. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 43363/2934528. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(a a)) b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 43364/2935179. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(^x1.(a a)))) 5. ==[ beta ]==> (a (^z.(^x1.(a a)))) 6. ==[ alpha ]==> (a (^x.(^y.(a a)))) REDUCED to normal form. ------ 43365/2935404. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.(a a)))) REDUCED to normal form. ------ 43366/2935419. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.(a a)) a)) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(a a)) a)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 43367/2935599. ------ 1. ==[ start ]==> ((^a.(a b))((a a)(a b))) 2. ==[ alpha ]==> ((^x.(x b))((a a)(a b))) 3. ==[ beta ]==> (((a a)(a b)) b) REDUCED to normal form. ------ 43368/2935602. ------ 1. ==[ start ]==> ((a (a b))(^c.(a b))) 2. ==[ alpha ]==> ((a (a b))(^x.(a b))) REDUCED to normal form. ------ 43369/2935800. ------ 1. ==[ start ]==> (((^a.a)(a b))(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.b))) 3. ==[ beta ]==> ((a b)(^y.(^z.b))) 4. ==[ alpha ]==> ((a b)(^x.(^y.b))) REDUCED to normal form. ------ 43370/2935809. ------ 1. ==[ start ]==> (((a a)(^a.b))(^b.(a b))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(a y))) 3. ==[ eta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 43371/2936007. ------ 1. ==[ start ]==> (((a a)(a b))(^a.(a b))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(x b))) REDUCED to normal form. ------ 43372/2936169. ------ 1. ==[ start ]==> (((a b)(a a))(^c.((a a) a))) 2. ==[ alpha ]==> (((a b)(a a))(^x.((a a) a))) REDUCED to normal form. ------ 43373/2936511. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 43374/2936808. ------ 1. ==[ start ]==> (((^a.b) c)(^b.((^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 (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 43375/2937051. ------ 1. ==[ start ]==> (((a b) c)(^d.(^a.(a a)))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.(y y)))) REDUCED to normal form. ------ 43376/2937078. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^a.(^b.(^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. ------ 43377/2937186. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(a (a a)))) 3. ==[ beta ]==> ((a (^y.b))(^z.(a (a a)))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(a (a a)))) REDUCED to normal form. ------ 43378/2937285. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^c.d)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.d)) 3. ==[ beta ]==> (b (^z.d)) 4. ==[ alpha ]==> (b (^x.d)) REDUCED to normal form. ------ 43379/2937294. ------ 1. ==[ start ]==> (((a b)(^b.a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.(z z)))) REDUCED to normal form. ------ 43380/2937573. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((^x.x)(a a))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(^z.z)) 5. ==[ beta ]==> (((a a)(a (^y.y)))(^z.z)) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 43381/2937624. ------ 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. ------ 43382/2937627. ------ 1. ==[ start ]==> ((a (b a))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((a (b a))(^x.(a (^y.y)))) REDUCED to normal form. ------ 43383/2937798. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^b.b)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.z)) 3. ==[ beta ]==> (b (^z.z)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 43384/2937861. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^b.(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 43385/2937902. ------ 1. ==[ start ]==> (^a.(^b.(b a))) 2. ==[ alpha ]==> (^x.(^y.(y x))) REDUCED to normal form. ------ 43386/2937903. ------ 1. ==[ start ]==> (a (^b.(b a))) 2. ==[ alpha ]==> (a (^x.(x a))) REDUCED to normal form. ------ 43387/2937918. ------ 1. ==[ start ]==> ((a (^a.a))((b a) a)) 2. ==[ alpha ]==> ((a (^x.x))((b a) a)) REDUCED to normal form. ------ 43388/2937945. ------ 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) REDUCED to normal form. ------ 43389/2937981. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 43390/2938008. ------ 1. ==[ start ]==> (((^a.a) b)((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x) 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. ------ 43391/2938062. ------ 1. ==[ start ]==> (((a a) b)((^b.(^a.a))(^c.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. ------ 43392/2938089. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))(^z.b))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.b)(^z.b))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.b)(^z.b))) 5. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 43393/2938116. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 43394/2938179. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(a (b a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(a (b a))) REDUCED to normal form. ------ 43395/2938206. ------ 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))) REDUCED to normal form. ------ 43396/2938233. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) 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)))) 5. ==[ beta ]==> ((a a)((a a)(a (^y.y)))) 6. ==[ alpha ]==> ((a a)((a a)(a (^x.x)))) REDUCED to normal form. ------ 43397/2938242. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(a a)) c)) 3. ==[ beta ]==> ((^y.a)((^z.(a a)) c)) 4. ==[ alpha ]==> ((^x.a)((^y.(a a)) c)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 43398/2938422. ------ 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)))) 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. ------ 43399/2938494. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> ((a a)((^y.(a a))(a (^z.z)))) 4. ==[ alpha ]==> ((a a)((^x.(a a))(a (^y.y)))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 43400/2938512. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a b)(^b.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. ------ 43401/2938539. ------ 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 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. ------ 43402/2938575. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 43403/2938602. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(x x))((a a) a))) 3. ==[ beta ]==> (((a (a a)) a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 43404/2938620. ------ 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. ------ 43405/2938629. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)(a b))) 3. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 43406/2938647. ------ 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.(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. ------ 43407/2938656. ------ 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.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. ------ 43408/2938683. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((a 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. ------ 43409/2938701. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(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. ------ 43410/2938728. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a)) b)) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a a) b)) REDUCED to normal form. ------ 43411/2938818. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 43412/2938998. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b) c)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b) c)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b) c)) 5. ==[ beta ]==> ((^y.y)((^z.b) c)) 6. ==[ alpha ]==> ((^x.x)((^y.b) c)) 7. ==[ beta ]==> ((^y.b) c) 8. ==[ alpha ]==> ((^x.b) c) 9. ==[ beta ]==> b REDUCED to normal form. ------ 43413/2939151. ------ 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)(^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. ------ 43414/2939322. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 43415/2939376. ------ 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)(^y.a))((a a)(^z.(a a)))) 4. ==[ alpha ]==> (((^x.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. ------ 43416/2939412. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((^y.y) b)((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(a a))(^z.z))) 5. ==[ beta ]==> (b ((^y.(a a))(^z.z))) 6. ==[ alpha ]==> (b ((^x.(a a))(^y.y))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 43417/2939439. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 43418/2939493. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(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. ------ 43419/2939520. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(x x)))((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 8. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 43420/2939547. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.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. ------ 43421/2939574. ------ 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.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. ------ 43422/2939601. ------ 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)(^x.x))(^z.(a a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 43423/2939619. ------ 1. ==[ start ]==> ((a (^a.b))((^b.(a a)) a)) 2. ==[ alpha ]==> ((a (^x.b))((^y.(a a)) a)) 3. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 43424/2939637. ------ 1. ==[ start ]==> (((a a)((a a) a))((a b)(a a))) REDUCED to normal form. ------ 43425/2939664. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((a a) a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((a a) a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a) a)(a (^z.z)))) REDUCED to normal form. ------ 43426/2939691. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a (a (a a)))((^y.y)((^z.z) a))) 6. ==[ alpha ]==> ((a (a (a a)))((^x.x)((^y.y) a))) 7. ==[ beta ]==> ((a (a (a a)))((^y.y) a)) 8. ==[ alpha ]==> ((a (a (a a)))((^x.x) a)) 9. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 43427/2939718. ------ 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. ------ 43428/2939745. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))(a ((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((a (^x.x))(a ((^y.y)(^z.z)))) 9. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 10. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 43429/2939772. ------ 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. ------ 43430/2939790. ------ 1. ==[ start ]==> (((^a.b) a)(b (^a.b))) 2. ==[ alpha ]==> (((^x.b) a)(b (^y.b))) 3. ==[ beta ]==> (b (b (^y.b))) 4. ==[ alpha ]==> (b (b (^x.b))) REDUCED to normal form. ------ 43431/2939799. ------ 1. ==[ start ]==> ((a (a b))((a a)(a b))) REDUCED to normal form. ------ 43432/2939889. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(^x1.x1))(^y1.a))) IRREDUCIBLE: cycle. ------ 43433/2939952. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.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. ------ 43434/2939970. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 43435/2939979. ------ 1. ==[ start ]==> (((a b) a)((^a.(^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. ------ 43436/2939997. ------ 1. ==[ start ]==> (((^a.a)(a b))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a b))((a a)(^y.b))) 3. ==[ beta ]==> ((a b)((a a)(^y.b))) 4. ==[ alpha ]==> ((a b)((a a)(^x.b))) REDUCED to normal form. ------ 43437/2940006. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.a)(a b))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(a b))) 3. ==[ beta ]==> (((a a)(^x.b))(a b)) REDUCED to normal form. ------ 43438/2940024. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a 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. ------ 43439/2940060. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^c.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)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 43440/2940087. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.(^a.a))(^b.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. ------ 43441/2940114. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(x1 x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(x1 x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.a)((^z.(z z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.a)((^y.(y y))(^z.(z z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 43442/2940141. ------ 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. ------ 43443/2940168. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 43444/2940204. ------ 1. ==[ start ]==> (((a a)(a b))(a (a b))) REDUCED to normal form. ------ 43445/2940231. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((a a) a)(a a))) REDUCED to normal form. ------ 43446/2940258. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)(a (^x1.x1)))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(a (^z.z)))) 9. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 10. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 43447/2940285. ------ 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. ------ 43448/2940312. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1) a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) a)(a (a a)))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z) a)(a (a a)))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(a (a a)))) 7. ==[ beta ]==> (a (((^y.y) a)(a (a a)))) 8. ==[ alpha ]==> (a (((^x.x) a)(a (a a)))) 9. ==[ beta ]==> (a (a (a (a a)))) REDUCED to normal form. ------ 43449/2940339. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 43450/2940357. ------ 1. ==[ start ]==> (((^a.b) b)(b (^c.a))) 2. ==[ alpha ]==> (((^x.b) b)(b (^y.a))) 3. ==[ beta ]==> (b (b (^y.a))) 4. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 43451/2940366. ------ 1. ==[ start ]==> (((a b)(a a))((a a)((a a) a))) REDUCED to normal form. ------ 43452/2940402. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(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))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 43453/2940429. ------ 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))(^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. ------ 43454/2940483. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.(z1 z1)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.(z1 z1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(z z)))) 7. ==[ beta ]==> (((^y.y) a)(^z.(z z))) 8. ==[ alpha ]==> (((^x.x) a)(^y.(y y))) 9. ==[ beta ]==> (a (^y.(y y))) 10. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 43455/2940564. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 43456/2940573. ------ 1. ==[ start ]==> (((a b) b)((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a b) b)((^x.a)(^y.y))) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 43457/2940600. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.(^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)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 43458/2940627. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((^z.a)(^z.a))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 43459/2940654. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 43460/2940708. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.a)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 43461/2940780. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^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. ------ 43462/2940852. ------ 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)))) 5. ==[ beta ]==> (((a a)(a a))((a a)(^y.y))) 6. ==[ alpha ]==> (((a a)(a a))((a a)(^x.x))) REDUCED to normal form. ------ 43463/2941005. ------ 1. ==[ start ]==> (((^a.b) c)((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 43464/2941248. ------ 1. ==[ start ]==> (((a b) c)(b (^a.(a a)))) 2. ==[ alpha ]==> (((a b) c)(b (^x.(x x)))) REDUCED to normal form. ------ 43465/2941275. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(a (^y.(^z.z)))) 3. ==[ beta ]==> (((a a) b)(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 43466/2941302. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(y y))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a a)(a a))) REDUCED to normal form. ------ 43467/2941320. ------ 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)(^x.x))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 43468/2941347. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.a))) 5. ==[ beta ]==> ((a (^y.y))(^z.a)) 6. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 43469/2941356. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1))((^y1.y1) 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. ------ 43470/2941383. ------ 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. ------ 43471/2941401. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.(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. ------ 43472/2941437. ------ 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)(^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. ------ 43473/2941464. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.(^a.a))(^b.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. ------ 43474/2941491. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 43475/2941581. ------ 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)(^x.x)))((a a) a)) REDUCED to normal form. ------ 43476/2941635. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(c b)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(c b)) 3. ==[ beta ]==> ((a (a b))(c b)) REDUCED to normal form. ------ 43477/2941662. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(b c)) REDUCED to normal form. ------ 43478/2941743. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(b (a (^y.y)))) 3. ==[ beta ]==> (((a b) a)(b (a (^y.y)))) 4. ==[ alpha ]==> (((a b) a)(b (a (^x.x)))) REDUCED to normal form. ------ 43479/2941770. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(a ((^z.z) a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(a ((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(a ((^y.y) a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 43480/2941797. ------ 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. ------ 43481/2941824. ------ 1. ==[ start ]==> ((a (b a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (b a))((a a)(a (^x.x)))) REDUCED to normal form. ------ 43482/2941914. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a (^z.z)) a)) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (^z.z)) a)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (^z.z)) a)) 5. ==[ beta ]==> (b ((a (^z.z)) a)) 6. ==[ alpha ]==> (b ((a (^x.x)) a)) REDUCED to normal form. ------ 43483/2941995. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.z) b)) 3. ==[ beta ]==> (b ((^z.z) b)) 4. ==[ alpha ]==> (b ((^x.x) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 43484/2942058. ------ 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)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 43485/2942102. ------ 1. ==[ start ]==> (^a.((^a.a)(b a))) 2. ==[ alpha ]==> (^x.((^y.y)(b x))) 3. ==[ beta ]==> (^x.(b x)) 4. ==[ eta ]==> b REDUCED to normal form. ------ 43486/2942103. ------ 1. ==[ start ]==> (a ((^a.a)(b a))) 2. ==[ alpha ]==> (a ((^x.x)(b a))) 3. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 43487/2942106. ------ 1. ==[ start ]==> ((^a.a)(^b.(b a))) 2. ==[ alpha ]==> ((^x.x)(^y.(y a))) 3. ==[ beta ]==> (^y.(y a)) 4. ==[ alpha ]==> (^x.(x a)) REDUCED to normal form. ------ 43488/2943816. ------ 1. ==[ start ]==> ((^a.(^a.b))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 43489/2944590. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.(^x1.b))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.b))(^z.(^x1.b)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.b))(^x1.(^y1.b)))) 5. ==[ beta ]==> ((^y.(^z.b))(^x1.(^y1.b))) 6. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.b))) 7. ==[ beta ]==> (^y.b) 8. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 43490/2946303. ------ 1. ==[ start ]==> (((^a.a)(b a)) a) 2. ==[ alpha ]==> (((^x.x)(b a)) a) 3. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 43491/2946309. ------ 1. ==[ start ]==> ((^a.a)((^a.a)(b a))) 2. ==[ alpha ]==> ((^x.x)((^y.y)(b a))) 3. ==[ beta ]==> ((^y.y)(b a)) 4. ==[ alpha ]==> ((^x.x)(b a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 43492/2946312. ------ 1. ==[ start ]==> ((a a)(^b.(b a))) 2. ==[ alpha ]==> ((a a)(^x.(x a))) REDUCED to normal form. ------ 43493/2946363. ------ 1. ==[ start ]==> ((^a.b)((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 43494/2946561. ------ 1. ==[ start ]==> ((^a.(^b.a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(b ((a a)(^z.z)))) 3. ==[ beta ]==> (^y.(b ((a a)(^z.z)))) 4. ==[ alpha ]==> (^x.(b ((a a)(^y.y)))) REDUCED to normal form. ------ 43495/2946804. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 43496/2946903. ------ 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 a)(((^z.(a a))(a (^x1.x1)))((^y1.(a a))(a (^z1.z1))))) 6. ==[ alpha ]==> ((a a)(((^x.(a a))(a (^y.y)))((^z.(a a))(a (^x1.x1))))) 7. ==[ beta ]==> ((a a)((a a)((^z.(a a))(a (^x1.x1))))) 8. ==[ alpha ]==> ((a a)((a a)((^x.(a a))(a (^y.y))))) 9. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 43497/2947347. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.((x1 x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.((x1 x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((y1 y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(^y1.((y1 y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(^y.((y y)(^z.z)))) 7. ==[ beta ]==> (^y.((y y)(^z.z))) 8. ==[ alpha ]==> (^x.((x x)(^y.y))) REDUCED to normal form. ------ 43498/2947686. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((((^y.(^z.z))(a (a a)))((^y.(^z.z))(a (a a))))((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((((^x.(^y.y))(a (a a)))((^z.(^x1.x1))(a (a a))))((^y1.(^z1.z1))(a (a a)))) 5. ==[ beta ]==> (((^y.y)((^z.(^x1.x1))(a (a a))))((^y1.(^z1.z1))(a (a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(a (a a))))((^x1.(^y1.y1))(a (a a)))) 7. ==[ beta ]==> (((^y.(^z.z))(a (a a)))((^x1.(^y1.y1))(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. ------ 43499/2948019. ------ 1. ==[ start ]==> ((^a.(^a.b))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 43500/2948022. ------ 1. ==[ start ]==> ((a (^a.b))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.b))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> ((a (^x.b))(^y.(y y))) REDUCED to normal form. ------ 43501/2948199. ------ 1. ==[ start ]==> ((^a.(a b))(b (^a.b))) 2. ==[ alpha ]==> ((^x.(x b))(b (^y.b))) 3. ==[ beta ]==> ((b (^y.b)) b) 4. ==[ alpha ]==> ((b (^x.b)) b) REDUCED to normal form. ------ 43502/2948211. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^c.(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(a b))) 3. ==[ beta ]==> ((^y.b)(^z.(a b))) 4. ==[ alpha ]==> ((^x.b)(^y.(a b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 43503/2948409. ------ 1. ==[ start ]==> (((a a)(^a.b))(^c.(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.b))) REDUCED to normal form. ------ 43504/2948586. ------ 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. ------ 43505/2948607. ------ 1. ==[ start ]==> (((a a)(a b))(^b.(^a.b))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(^y.x))) REDUCED to normal form. ------ 43506/2948793. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(a (^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(a (^z.b))) 3. ==[ beta ]==> ((^y.y)((a (^z.b))(a (^z.b)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.b))(a (^z.b)))) 5. ==[ beta ]==> ((a (^y.b))(a (^z.b))) 6. ==[ alpha ]==> ((a (^x.b))(a (^y.b))) REDUCED to normal form. ------ 43507/2948796. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(^z.b))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.b))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.b))) REDUCED to normal form. ------ 43508/2949282. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^a.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.y))) REDUCED to normal form. ------ 43509/2949408. ------ 1. ==[ start ]==> (((^a.b) c)(^c.(^b.(^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. ------ 43510/2949417. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 43511/2949468. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^z.(z z))(^x1.(^y1.y1)))((^z.(z z))(^x1.(^y1.y1))))(^y.y)) 4. ==[ alpha ]==> ((((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1))))(^x2.x2)) 5. ==[ beta ]==> ((((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1))))(^x2.x2)) 6. ==[ alpha ]==> ((((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2))))(^y2.y2)) 7. ==[ beta ]==> (((^y.y)((^y1.(y1 y1))(^z1.(^x2.x2))))(^y2.y2)) 8. ==[ alpha ]==> (((^x.x)((^y.(y y))(^z.(^x1.x1))))(^y1.y1)) 9. ==[ beta ]==> (((^y.(y y))(^z.(^x1.x1)))(^y1.y1)) 10. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.x1)) 11. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.x1)) 12. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.y1)) 13. ==[ beta ]==> ((^y.y)(^y1.y1)) 14. ==[ alpha ]==> ((^x.x)(^y.y)) 15. ==[ beta ]==> (^y.y) 16. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 43512/2949786. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.b))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.(z z)))) REDUCED to normal form. ------ 43513/2949894. ------ 1. ==[ start ]==> (((a b)(^b.a))(^c.d)) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.d)) REDUCED to normal form. ------ 43514/2950011. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.(z z)))) REDUCED to normal form. ------ 43515/2950092. ------ 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.((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.((^y1.y1) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.((^y1.y1) a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((^x1.x1) a))) 7. ==[ beta ]==> ((^y.y)(^z.((^x1.x1) a))) 8. ==[ alpha ]==> ((^x.x)(^y.((^z.z) a))) 9. ==[ beta ]==> (^y.((^z.z) a)) 10. ==[ alpha ]==> (^x.((^y.y) a)) 11. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 43516/2950173. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(^b.(^b.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. ------ 43517/2950224. ------ 1. ==[ start ]==> ((^a.(b a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(b (^y.(^z.z)))) 3. ==[ eta ]==> (b (b (^y.(^z.z)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 43518/2950317. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^a.c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.c)) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.c)) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.c)) 5. ==[ beta ]==> (b (^z.c)) 6. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 43519/2950398. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^c.(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(a a))) 3. ==[ beta ]==> (b (^z.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 43520/2950461. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^c.a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.a)) REDUCED to normal form. ------ 43521/2950506. ------ 1. ==[ start ]==> (((^a.a)(b a))(^a.a)) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.y)) 3. ==[ beta ]==> ((b a)(^y.y)) 4. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 43522/2950518. ------ 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. ------ 43523/2950536. ------ 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. ------ 43524/2950563. ------ 1. ==[ start ]==> (((a a) a)(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a a) a)(((a a)(^x.x)) b)) REDUCED to normal form. ------ 43525/2950572. ------ 1. ==[ start ]==> ((a b)((^c.(^a.a))(^a.(^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. ------ 43526/2950626. ------ 1. ==[ start ]==> (((a a)(a a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.b)(^y.(y y)))) 3. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 43527/2950770. ------ 1. ==[ start ]==> ((a (^b.a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 43528/2950851. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.a)(((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)(((^y.y)(a a))(a (^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 43529/2950878. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((a b)((^y1.y1) 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. ------ 43530/2950932. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (a (((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (a ((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (a ((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> (a ((^y.y)(^z.z))) 10. ==[ alpha ]==> (a ((^x.x)(^y.y))) 11. ==[ beta ]==> (a (^y.y)) 12. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 43531/2950959. ------ 1. ==[ start ]==> (((^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) 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. ------ 43532/2951013. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.(x x)))((a (^y.y))(a a))) REDUCED to normal form. ------ 43533/2951031. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 43534/2951103. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a)(a a))(^a.(^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. ------ 43535/2951112. ------ 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 a)) REDUCED to normal form. ------ 43536/2951184. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a b)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((a b)(^y.(^z.z))) 8. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 43537/2951238. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a (^z.b))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(a (^y.b))) REDUCED to normal form. ------ 43538/2951265. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (^z.z))(^x1.(a a)))) REDUCED to normal form. ------ 43539/2951319. ------ 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. ------ 43540/2951355. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a (a a)))(a a)) REDUCED to normal form. ------ 43541/2951382. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.b)(^b.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. ------ 43542/2951436. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.(^a.a))(^b.(^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. ------ 43543/2951553. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a ((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a ((a a)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(a ((a a)(^y1.y1)))) 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. ------ 43544/2951562. ------ 1. ==[ start ]==> (((a (a a)) b)((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 43545/2951589. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(a a)) b)) 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)) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 43546/2951607. ------ 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. ------ 43547/2951616. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b) c)) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 43548/2951634. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> ((^y.y)(((a a) 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. ------ 43549/2951688. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (a a))((^z.z)(^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. ------ 43550/2951760. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^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. ------ 43551/2951814. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(a a))(a a))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(a a))(a a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a))(a a))) 5. ==[ beta ]==> ((a a)((^y.(a a))(a a))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(a a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 43552/2951841. ------ 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. ------ 43553/2951895. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> ((a ((a a) a))(^y.y)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 43554/2952021. ------ 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. ------ 43555/2952048. ------ 1. ==[ start ]==> ((((a a) a) a)((a b) b)) REDUCED to normal form. ------ 43556/2952228. ------ 1. ==[ start ]==> ((a (^a.b))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.b))(a ((^y.y)(a a)))) 3. ==[ beta ]==> ((a (^x.b))(a (a a))) REDUCED to normal form. ------ 43557/2952408. ------ 1. ==[ start ]==> ((a (a b))(b (^a.b))) 2. ==[ alpha ]==> ((a (a b))(b (^x.b))) REDUCED to normal form. ------ 43558/2952417. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a a)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a a)(a b))) 3. ==[ beta ]==> ((^y.b)((a a)(a b))) 4. ==[ alpha ]==> ((^x.b)((a a)(a b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 43559/2952561. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a) a)(^b.(^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. ------ 43560/2952588. ------ 1. ==[ start ]==> (((a b) a)((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b) a)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 43561/2952615. ------ 1. ==[ start ]==> (((a a)(^a.b))((a a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.b))((a a)(^y.b))) REDUCED to normal form. ------ 43562/2952669. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 43563/2952768. ------ 1. ==[ start ]==> (((^a.b)(a a))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 43564/2952795. ------ 1. ==[ start ]==> ((a (^b.(a a)))(b ((a a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(b ((a a) a))) REDUCED to normal form. ------ 43565/2952813. ------ 1. ==[ start ]==> (((a a)(a b))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a a)(a b))((^x.x)(^y.b))) 3. ==[ beta ]==> (((a a)(a b))(^y.b)) 4. ==[ alpha ]==> (((a a)(a b))(^x.b)) REDUCED to normal form. ------ 43566/2952975. ------ 1. ==[ start ]==> (((a b)(a a))(b (^c.a))) 2. ==[ alpha ]==> (((a b)(a a))(b (^x.a))) REDUCED to normal form. ------ 43567/2953002. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(a (^a.b))) 2. ==[ alpha ]==> ((a ((^x.x)(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. ------ 43568/2953182. ------ 1. ==[ start ]==> (((a b) b)(((a a) a) a)) REDUCED to normal form. ------ 43569/2953209. ------ 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. ------ 43570/2953236. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (a a)) c)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (a a)) c)) REDUCED to normal form. ------ 43571/2953308. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(b ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b ((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b ((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b ((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(b ((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(b ((^z.z)(^x1.x1)))) 9. ==[ beta ]==> ((^y.y)(b ((^z.z)(^x1.x1)))) 10. ==[ alpha ]==> ((^x.x)(b ((^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. ------ 43572/2953371. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.(^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. ------ 43573/2953389. ------ 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. ------ 43574/2953398. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 43575/2953461. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(b (^b.(^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. ------ 43576/2953488. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(a (^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(a (^y.a))) REDUCED to normal form. ------ 43577/2953515. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(^z.z))(a a))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))(a a))) 5. ==[ beta ]==> ((a ((a a) a))(^y.y)) 6. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 43578/2953542. ------ 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 (^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. ------ 43579/2953569. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((a (a a))((^y.a)((^z.z) a))) 6. ==[ alpha ]==> ((a (a a))((^x.a)((^y.y) a))) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 43580/2953596. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(^z.z))(a (a a)))) 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. ------ 43581/2953614. ------ 1. ==[ start ]==> (((^a.b) c)((a a)(^b.(^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. ------ 43582/2953623. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 43583/2953650. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.(^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. ------ 43584/2953677. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.(^x1.x1))(^z.(^x1.x1)))) 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. ------ 43585/2953713. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(c ((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(c ((^x1.x1) 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. ------ 43586/2953848. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (b ((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. ------ 43587/2953857. ------ 1. ==[ start ]==> (((a b) c)((^a.(^a.a)) d)) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y)) d)) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 43588/2953911. ------ 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. ------ 43589/2953965. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 43590/2953992. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a a)(^z.(z z)))) 3. ==[ beta ]==> ((a (^y.b))((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.b))((a a)(^y.(y y)))) REDUCED to normal form. ------ 43591/2954046. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1) a) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a) b)) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a) b)) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 43592/2954091. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 43593/2954127. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(x1 x1)) 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. ------ 43594/2954154. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.a) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 43595/2954190. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(b (^y.a))) REDUCED to normal form. ------ 43596/2954217. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(a (^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a (^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(a (^y.(y y)))) REDUCED to normal form. ------ 43597/2954244. ------ 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) REDUCED to normal form. ------ 43598/2954271. ------ 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 (^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. ------ 43599/2954298. ------ 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)((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)((^z1.z1) 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) 13. ==[ beta ]==> a REDUCED to normal form. ------ 43600/2954325. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.a)(^y.y))) 3. ==[ beta ]==> ((((a a) a)(a (a a))) a) REDUCED to normal form. ------ 43601/2954352. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(^a.a))(^a.(^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. ------ 43602/2954379. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.a)) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.a)) REDUCED to normal form. ------ 43603/2954433. ------ 1. ==[ start ]==> ((a (b a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 43604/2954523. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(a c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(a c)) 3. ==[ beta ]==> (((^y.b)(^y.b))(a c)) 4. ==[ alpha ]==> (((^x.b)(^y.b))(a c)) 5. ==[ beta ]==> (b (a c)) REDUCED to normal form. ------ 43605/2954604. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a a)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a a)(a a))) 3. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 43606/2954667. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a a) a)) REDUCED to normal form. ------ 43607/2954712. ------ 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. ------ 43608/2954733. ------ 1. ==[ start ]==> ((^a.(^a.a))(^b.(b a))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(z a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 43609/2956434. ------ 1. ==[ start ]==> ((^a.(^a.b))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 43610/2958921. ------ 1. ==[ start ]==> (((^a.a)(b a)) b) 2. ==[ alpha ]==> (((^x.x)(b a)) b) 3. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 43611/2958945. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.a)(b a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(b a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 43612/2958948. ------ 1. ==[ start ]==> ((a (^a.a))(^b.(b a))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(y a))) REDUCED to normal form. ------ 43613/2958963. ------ 1. ==[ start ]==> ((^a.(a a))((b a) a)) 2. ==[ alpha ]==> ((^x.(x x))((b a) a)) 3. ==[ beta ]==> (((b a) a)((b a) a)) REDUCED to normal form. ------ 43614/2958990. ------ 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. ------ 43615/2959026. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 43616/2959188. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^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. ------ 43617/2959227. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^a.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.(b z))) 3. ==[ eta ]==> (((^x.(^y.y)) b) b) 4. ==[ beta ]==> ((^y.y) b) 5. ==[ alpha ]==> ((^x.x) b) 6. ==[ beta ]==> b REDUCED to normal form. ------ 43618/2959530. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))(^z.(^x1.x1)))((((^y.y)(a a))(^z.(^x1.x1)))(((^y.y)(a a))(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((((^x1.x1)(a a))(^y1.(^z1.z1)))(((^x2.x2)(a a))(^y2.(^z2.z2))))) 5. ==[ beta ]==> (((a a)(^y.(^z.z)))((((^x1.x1)(a a))(^y1.(^z1.z1)))(((^x2.x2)(a a))(^y2.(^z2.z2))))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((((^z.z)(a a))(^x1.(^y1.y1)))(((^z1.z1)(a a))(^x2.(^y2.y2))))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))(((a a)(^x1.(^y1.y1)))(((^z1.z1)(a a))(^x2.(^y2.y2))))) 8. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.(^x2.x2))))) 9. ==[ beta ]==> (((a a)(^x.(^y.y)))(((a a)(^z.(^x1.x1)))((a a)(^z1.(^x2.x2))))) 10. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.(^x1.x1)))((a a)(^y1.(^z1.z1))))) REDUCED to normal form. ------ 43619/2959731. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(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. ------ 43620/2959755. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 43621/2959974. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 43622/2959983. ------ 1. ==[ start ]==> (((a (a a)) b)(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 43623/2960313. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((((^y.y)(^z.z))(^x1.(x1 x1)))(((^y.y)(^z.z))(^x1.(x1 x1))))(((^y.y)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1))))(((^x2.x2)(^y2.y2))(^z2.(z2 z2)))) 5. ==[ beta ]==> ((((^y.y)(^z.(z z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1))))(((^x2.x2)(^y2.y2))(^z2.(z2 z2)))) 6. ==[ alpha ]==> ((((^x.x)(^y.(y y)))(((^z.z)(^x1.x1))(^y1.(y1 y1))))(((^z1.z1)(^x2.x2))(^y2.(y2 y2)))) 7. ==[ beta ]==> (((^y.(y y))(((^z.z)(^x1.x1))(^y1.(y1 y1))))(((^z1.z1)(^x2.x2))(^y2.(y2 y2)))) 8. ==[ alpha ]==> (((^x.(x x))(((^y.y)(^z.z))(^x1.(x1 x1))))(((^y1.y1)(^z1.z1))(^x2.(x2 x2)))) 9. ==[ beta ]==> (((((^y.y)(^z.z))(^x1.(x1 x1)))(((^y.y)(^z.z))(^x1.(x1 x1))))(((^y1.y1)(^z1.z1))(^x2.(x2 x2)))) 10. ==[ alpha ]==> (((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1))))(((^x2.x2)(^y2.y2))(^z2.(z2 z2)))) IRREDUCIBLE: cycle. ------ 43624/2960646. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 43625/2960649. ------ 1. ==[ start ]==> ((a (^a.b))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(^z.(a a)))) REDUCED to normal form. ------ 43626/2961054. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(^z.(a z))) 3. ==[ eta ]==> (((^x.(^y.y))((a a) a)) a) 4. ==[ beta ]==> ((^y.y) a) 5. ==[ alpha ]==> ((^x.x) a) 6. ==[ beta ]==> a REDUCED to normal form. ------ 43627/2961213. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(^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. ------ 43628/2961432. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.b))) 3. ==[ beta ]==> ((^y.(a a))(^z.(^x1.b))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(^z.b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 43629/2961594. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 43630/2961765. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.((x1 x1) x1))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.((x1 x1) x1))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.((z z) z))) 5. ==[ beta ]==> ((^y.(y y))(^z.((z z) z))) 6. ==[ alpha ]==> ((^x.(x x))(^y.((y y) y))) 7. ==[ beta ]==> ((^y.((y y) y))(^y.((y y) y))) 8. ==[ alpha ]==> ((^x.((x x) x))(^y.((y y) y))) 9. ==[ beta ]==> (((^y.((y y) y))(^y.((y y) y)))(^y.((y y) y))) 10. ==[ alpha ]==> (((^x.((x x) x))(^y.((y y) y)))(^z.((z z) z))) 11. ==[ beta ]==> ((((^y.((y y) y))(^y.((y y) y)))(^y.((y y) y)))(^z.((z z) z))) 12. ==[ alpha ]==> ((((^x.((x x) x))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1))) 13. ==[ beta ]==> (((((^y.((y y) y))(^y.((y y) y)))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1))) 14. ==[ alpha ]==> (((((^x.((x x) x))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1)))(^y1.((y1 y1) y1))) 15. ==[ 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))) 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))) 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))) 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))) 19. ==[ 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))) 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))) 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))) 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))) 23. ==[ 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))) 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))) 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))) 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))) 27. ==[ 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))) 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))) 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))) 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))) 31. ==[ 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))) 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))) 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))) 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))) 35. ==[ 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))) UNREDUCED: maximal number of reductions reached. ------ 43631/2962035. ------ 1. ==[ start ]==> (((^a.b) c)(^d.e)) 2. ==[ alpha ]==> (((^x.b) c)(^y.e)) 3. ==[ beta ]==> (b (^y.e)) 4. ==[ alpha ]==> (b (^x.e)) REDUCED to normal form. ------ 43632/2962044. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 43633/2962095. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a (a a)) b)) 3. ==[ beta ]==> ((((a (a a)) b)((a (a a)) b))(^y.y)) 4. ==[ alpha ]==> ((((a (a a)) b)((a (a a)) b))(^x.x)) REDUCED to normal form. ------ 43634/2962305. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^c.(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)))) REDUCED to normal form. ------ 43635/2962431. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.(a (a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.(a (a a)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(a (a a)))) REDUCED to normal form. ------ 43636/2962548. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(x1 (x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(z (z z)))) REDUCED to normal form. ------ 43637/2962851. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z)) b)) 3. ==[ eta ]==> (b ((^y.(^z.z)) b)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) b)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 43638/2962944. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> (b (^z.(a (^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 43639/2963088. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^a.b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.b)) REDUCED to normal form. ------ 43640/2963133. ------ 1. ==[ start ]==> (((^a.a)(b a))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.(^z.z))) 3. ==[ beta ]==> ((b a)(^y.(^z.z))) 4. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 43641/2963163. ------ 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. ------ 43642/2963181. ------ 1. ==[ start ]==> ((a (a a))((b a) a)) REDUCED to normal form. ------ 43643/2963208. ------ 1. ==[ start ]==> ((a b)(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((a b)(((a a)(^x.x)) b)) REDUCED to normal form. ------ 43644/2963244. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 43645/2963325. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.(^a.a))(^c.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. ------ 43646/2963352. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.b))) 5. ==[ beta ]==> ((a (^x.x))((^z.b)(^z.b))) 6. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.b))) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 43647/2963379. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((^y.a)(^z.(a a))) 6. ==[ alpha ]==> ((^x.a)(^y.(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 43648/2963406. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^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. ------ 43649/2963442. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(a (b a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 43650/2963523. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a b)((^y.y) a))) 3. ==[ beta ]==> (((a (^x.x)) b)((a b) a)) REDUCED to normal form. ------ 43651/2963550. ------ 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. ------ 43652/2963577. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.a))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.a))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 43653/2963604. ------ 1. ==[ start ]==> (((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) a))) REDUCED to normal form. ------ 43654/2963631. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z) a)(a b))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(a b))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(a b))) 5. ==[ beta ]==> ((a (^x.x))(a (a b))) REDUCED to normal form. ------ 43655/2963721. ------ 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. ------ 43656/2963748. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a (a a)))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a (a a)))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 43657/2963757. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> (((^y.(a a))(a (^z.z)))((^y.(a a))(a (^z.z)))) 6. ==[ alpha ]==> (((^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 a)) REDUCED to normal form. ------ 43658/2963784. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 43659/2963838. ------ 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 ]==> (((^y.y)(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 43660/2963865. ------ 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. ------ 43661/2963892. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 43662/2963946. ------ 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)(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. ------ 43663/2963973. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.(^a.a))(^a.a))) 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. ------ 43664/2963991. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x)(a a)) b)) 3. ==[ beta ]==> (((a a)(a (a a)))((a a) b)) REDUCED to normal form. ------ 43665/2964018. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a b) c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a b) c)) 3. ==[ beta ]==> (((a (^x.x)) a)((a b) c)) REDUCED to normal form. ------ 43666/2964108. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 43667/2964135. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^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. ------ 43668/2964198. ------ 1. ==[ start ]==> (((a (a a)) b)(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 43669/2964225. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z)(a a))(a a))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(a a))(a a))) 5. ==[ beta ]==> (a (((^y.y)(a a))(a a))) 6. ==[ alpha ]==> (a (((^x.x)(a a))(a a))) 7. ==[ beta ]==> (a ((a a)(a a))) REDUCED to normal form. ------ 43670/2964252. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)(a (^z.z)))) REDUCED to normal form. ------ 43671/2964279. ------ 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.z) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(((a a) a) a)) REDUCED to normal form. ------ 43672/2964306. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z))(a (a a)))) 5. ==[ beta ]==> ((a (^x.a))((^z.z)(a (a a)))) 6. ==[ alpha ]==> ((a (^x.a))((^y.y)(a (a a)))) 7. ==[ beta ]==> ((a (^x.a))(a (a a))) REDUCED to normal form. ------ 43673/2964333. ------ 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. ------ 43674/2964360. ------ 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)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)((a a) a))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)((a a) a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)((a a) a))) 7. ==[ beta ]==> (((^y.y) a)((a a) a)) 8. ==[ alpha ]==> (((^x.x) a)((a a) a)) 9. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 43675/2964450. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> ((a ((^x.x) 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. ------ 43676/2964477. ------ 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. ------ 43677/2964504. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((a a) a)(^z.a))) 3. ==[ beta ]==> (((^y.y)(a a))(((a a) a)(^z.a))) 4. ==[ alpha ]==> (((^x.x)(a a))(((a 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. ------ 43678/2964531. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(^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)))) 5. ==[ beta ]==> ((a ((a a) a))(^y.(y y))) 6. ==[ alpha ]==> ((a ((a a) a))(^x.(x x))) REDUCED to normal form. ------ 43679/2964567. ------ 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)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.z))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^y.y)(^z.z))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 11. ==[ beta ]==> ((^y.y)(^z.z)) 12. ==[ alpha ]==> ((^x.x)(^y.y)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 43680/2964621. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(^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. ------ 43681/2964702. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.b)(^a.(^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. ------ 43682/2964783. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)((^y.(y y))(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(^z.z)))) 9. ==[ beta ]==> ((a a)((^y.(^z.z))(^y.(^z.z)))) 10. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.x1)))) 11. ==[ beta ]==> ((a a)(^y.y)) 12. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 43683/2964846. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(b (a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(b (a b))) REDUCED to normal form. ------ 43684/2964864. ------ 1. ==[ start ]==> ((a (^a.b))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> ((a (^x.b))(^z.(a a))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(a a))) REDUCED to normal form. ------ 43685/2964882. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(a a)) a)) 3. ==[ beta ]==> (((a a)((a a) a))(a a)) REDUCED to normal form. ------ 43686/2964909. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.b) b)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.b) b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b) b)) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 43687/2965035. ------ 1. ==[ start ]==> (((^a.b) a)((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b) a)((a (^y.y))((a a) a))) 3. ==[ beta ]==> (b ((a (^y.y))((a a) a))) 4. ==[ alpha ]==> (b ((a (^x.x))((a a) a))) REDUCED to normal form. ------ 43688/2965053. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(b (^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(b (^z.b))) 3. ==[ beta ]==> ((^y.b)(b (^z.b))) 4. ==[ alpha ]==> ((^x.b)(b (^y.b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 43689/2965215. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.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. ------ 43690/2965242. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(^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. ------ 43691/2965269. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.z)(a b))) 3. ==[ beta ]==> ((^y.y)((^z.z)(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a b))) 5. ==[ beta ]==> ((^y.y)(a b)) 6. ==[ alpha ]==> ((^x.x)(a b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 43692/2965404. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.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. ------ 43693/2965413. ------ 1. ==[ start ]==> (((a b)(^a.a))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(^x.x))(c (^z.z))) 4. ==[ alpha ]==> (((a b)(^x.x))(c (^y.y))) REDUCED to normal form. ------ 43694/2965431. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(^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. ------ 43695/2965476. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.b) a)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.b) a)) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) b) REDUCED to normal form. ------ 43696/2965530. ------ 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. ------ 43697/2965602. ------ 1. ==[ start ]==> (((^a.b) b)((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((a (^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((a (^x.x))(^z.z))) 6. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 43698/2965647. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(a (^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(a (^z.b))) 3. ==[ beta ]==> ((^y.(a a))(a (^z.b))) 4. ==[ alpha ]==> ((^x.(a a))(a (^y.b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 43699/2965674. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^c.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.a)(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a a))) 5. ==[ beta ]==> ((^y.a)(a a)) 6. ==[ alpha ]==> ((^x.a)(a a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 43700/2965728. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))((^z1.z1) a))) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))((^z1.z1) a))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z) a))) 7. ==[ beta ]==> ((^y.(y y))((^z.z) a)) 8. ==[ alpha ]==> ((^x.(x x))((^y.y) a)) 9. ==[ beta ]==> (((^y.y) a)((^y.y) a)) 10. ==[ alpha ]==> (((^x.x) a)((^y.y) a)) 11. ==[ beta ]==> (a ((^y.y) a)) 12. ==[ alpha ]==> (a ((^x.x) a)) 13. ==[ beta ]==> (a a) REDUCED to normal form. ------ 43701/2965809. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 43702/2965863. ------ 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))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 43703/2965890. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 43704/2965944. ------ 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.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.z1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 43705/2965953. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 43706/2965980. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(a ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(a ((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(a ((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a ((a a) a))) 5. ==[ beta ]==> ((^y.(y y))(a ((a a) a))) 6. ==[ alpha ]==> ((^x.(x x))(a ((a a) a))) 7. ==[ beta ]==> ((a ((a a) a))(a ((a a) a))) REDUCED to normal form. ------ 43707/2966007. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((^z.z)(a a))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)(a a))) 5. ==[ beta ]==> ((((a a) a)(^x.a))(a a)) REDUCED to normal form. ------ 43708/2966034. ------ 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. ------ 43709/2966061. ------ 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)(^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. ------ 43710/2966151. ------ 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))(^x1.x1))) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(^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. ------ 43711/2966178. ------ 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. ------ 43712/2966205. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y) a)(^z.a))) 5. ==[ beta ]==> ((a (a a))(((^y.y) a)(^z.a))) 6. ==[ alpha ]==> ((a (a a))(((^x.x) a)(^y.a))) 7. ==[ beta ]==> ((a (a a))(a (^y.a))) 8. ==[ alpha ]==> ((a (a a))(a (^x.a))) REDUCED to normal form. ------ 43713/2966232. ------ 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)))) 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. ------ 43714/2966259. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 43715/2966286. ------ 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)) a)) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z)) a)) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y)) a)) 5. ==[ beta ]==> (((a a)(a a))((^y.y) a)) 6. ==[ alpha ]==> (((a a)(a a))((^x.x) a)) 7. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 43716/2966313. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (a a)) b)) REDUCED to normal form. ------ 43717/2966349. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 43718/2966484. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 43719/2966493. ------ 1. ==[ start ]==> (((a b) c)((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b) c)((a (^x.x))((^y.y) a))) 3. ==[ beta ]==> (((a b) c)((a (^x.x)) a)) REDUCED to normal form. ------ 43720/2966520. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a a)(a (a a)))) 3. ==[ beta ]==> (((a a) b)((a a)(a (a a)))) REDUCED to normal form. ------ 43721/2966565. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(z z))(a a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(a a))) 5. ==[ beta ]==> (((a a)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 43722/2966592. ------ 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 REDUCED to normal form. ------ 43723/2966601. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(c c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(c c)) REDUCED to normal form. ------ 43724/2966646. ------ 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. ------ 43725/2966727. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b ((^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. ------ 43726/2966736. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 43727/2966763. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(a (a (a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(a (a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (a (a a)))) REDUCED to normal form. ------ 43728/2966790. ------ 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. ------ 43729/2966880. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 43730/2966907. ------ 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. ------ 43731/2966934. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a)(^x1.a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a a)(^x1.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. ------ 43732/2966961. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(((^x.x) a) a)) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(a a)) REDUCED to normal form. ------ 43733/2966988. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a (^y.y)) b)) 3. ==[ beta ]==> (((a b) a)((a (^y.y)) b)) 4. ==[ alpha ]==> (((a b) a)((a (^x.x)) b)) REDUCED to normal form. ------ 43734/2967042. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.a) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(a a)) a) REDUCED to normal form. ------ 43735/2967069. ------ 1. ==[ start ]==> ((a (b a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.y)) b)) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 43736/2967159. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> (b ((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)(a (^y.y)))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 43737/2967240. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(b (^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(b (^z.z))) 3. ==[ beta ]==> (b (b (^z.z))) 4. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 43738/2967303. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(a b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(a b)) REDUCED to normal form. ------ 43739/2967348. ------ 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. ------ 43740/2971566. ------ 1. ==[ start ]==> (((^a.a)(b a)) c) 2. ==[ alpha ]==> (((^x.x)(b a)) c) 3. ==[ beta ]==> ((b a) c) REDUCED to normal form. ------ 43741/2971611. ------ 1. ==[ start ]==> (((^a.a) a)(^b.(b a))) 2. ==[ alpha ]==> (((^x.x) a)(^y.(y a))) 3. ==[ beta ]==> (a (^y.(y a))) 4. ==[ alpha ]==> (a (^x.(x a))) REDUCED to normal form. ------ 43742/2971890. ------ 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) REDUCED to normal form. ------ 43743/2971914. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((a a)(^z.z))(a a))) 3. ==[ eta ]==> ((^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. ------ 43744/2972394. ------ 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. ------ 43745/2972409. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a)(^x1.x1)) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 43746/2972637. ------ 1. ==[ start ]==> (((a (a a)) b)(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 43747/2973096. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y) b)(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (b (^y.((^z.z)(a a)))) 6. ==[ alpha ]==> (b (^x.((^y.y)(a a)))) 7. ==[ beta ]==> (b (^x.(a a))) REDUCED to normal form. ------ 43748/2973321. ------ 1. ==[ start ]==> (((a a)((a a) a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(^x.((^y.y)(x x)))) 3. ==[ beta ]==> (((a a)((a a) a))(^x.(x x))) REDUCED to normal form. ------ 43749/2973480. ------ 1. ==[ start ]==> ((^a.(a b))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(x b))((a (^y.y))((a a) a))) 3. ==[ beta ]==> (((a (^y.y))((a a) a)) b) 4. ==[ alpha ]==> (((a (^x.x))((a a) a)) b) REDUCED to normal form. ------ 43750/2973915. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^a.(a b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(y b))) REDUCED to normal form. ------ 43751/2974074. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a a)((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a a)((a a) a))) 3. ==[ beta ]==> ((^y.y)(((a a)((a a) a))((a a)((a a) a)))) 4. ==[ alpha ]==> ((^x.x)(((a a)((a a) a))((a a)((a a) a)))) 5. ==[ beta ]==> (((a a)((a a) a))((a a)((a a) a))) REDUCED to normal form. ------ 43752/2974248. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 43753/2974257. ------ 1. ==[ start ]==> (((a b) b)(^b.((a a) a))) 2. ==[ alpha ]==> (((a b) b)(^x.((a a) a))) REDUCED to normal form. ------ 43754/2974419. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(^x1.a))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.a))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.a))) 7. ==[ beta ]==> ((^y.(^z.a))(^y.(^z.a))) 8. ==[ alpha ]==> ((^x.(^y.a))(^z.(^x1.a))) 9. ==[ beta ]==> (^y.a) 10. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 43755/2974563. ------ 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))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.z))) REDUCED to normal form. ------ 43756/2974986. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 43757/2975202. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 43758/2975481. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.((^z.z) y))) 3. ==[ eta ]==> ((((a a)(^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 43759/2975505. ------ 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))) REDUCED to normal form. ------ 43760/2975598. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^c.(^a.(^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. ------ 43761/2975742. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^b.(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(a a))) REDUCED to normal form. ------ 43762/2975787. ------ 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. ------ 43763/2975835. ------ 1. ==[ start ]==> (((^a.a) a)((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.y)(b a))) 3. ==[ beta ]==> (a ((^y.y)(b a))) 4. ==[ alpha ]==> (a ((^x.x)(b a))) 5. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 43764/2975853. ------ 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. ------ 43765/2975880. ------ 1. ==[ start ]==> (((^a.a)(a a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(a a))(((a a)(^y.y)) b)) 3. ==[ beta ]==> ((a a)(((a a)(^y.y)) b)) 4. ==[ alpha ]==> ((a a)(((a a)(^x.x)) b)) REDUCED to normal form. ------ 43766/2975916. ------ 1. ==[ start ]==> (((^a.a) b)((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(a a))(^z.a))) 3. ==[ beta ]==> (b ((^y.(a a))(^z.a))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 43767/2975943. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 43768/2975970. ------ 1. ==[ start ]==> (((a a) b)((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 43769/2975997. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 43770/2976024. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.b)(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)(^x1.b))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 43771/2976051. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 43772/2976087. ------ 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. ------ 43773/2976114. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(a (b a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(a (b a))) REDUCED to normal form. ------ 43774/2976141. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((a ((^x.x) 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))) REDUCED to normal form. ------ 43775/2976150. ------ 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. ------ 43776/2976177. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a)) c)) 3. ==[ beta ]==> ((^y.y)((^y1.(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. ------ 43777/2976330. ------ 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) 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. ------ 43778/2976357. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)((a a)(^z.z)))) REDUCED to normal form. ------ 43779/2976420. ------ 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))(^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. ------ 43780/2976447. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a b)(^b.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. ------ 43781/2976483. ------ 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. ------ 43782/2976501. ------ 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 ]==> (((^y.y)(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 11. ==[ beta ]==> (^y.(^z.z)) 12. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 43783/2976510. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) a)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 43784/2976537. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(y y))((a a) a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 43785/2976555. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 43786/2976564. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.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. ------ 43787/2976591. ------ 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)(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. ------ 43788/2976618. ------ 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. ------ 43789/2976636. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 43790/2976726. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((b b)((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> ((b b)((^x.a)(^y.(y y)))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 43791/2976861. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a)) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.y))) REDUCED to normal form. ------ 43792/2976906. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(a a)) b)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a)) b)) 5. ==[ beta ]==> ((^y.y)((^z.(a a)) b)) 6. ==[ alpha ]==> ((^x.x)((^y.(a a)) b)) 7. ==[ beta ]==> ((^y.(a a)) b) 8. ==[ alpha ]==> ((^x.(a a)) b) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 43793/2976933. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.b) c)) 3. ==[ beta ]==> ((^y.y)((^z.b) c)) 4. ==[ alpha ]==> ((^x.x)((^y.b) c)) 5. ==[ beta ]==> ((^y.b) c) 6. ==[ alpha ]==> ((^x.b) c) 7. ==[ beta ]==> b REDUCED to normal form. ------ 43794/2977059. ------ 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)(^y.y))((a (^z.z))(a b))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(a b))) REDUCED to normal form. ------ 43795/2977086. ------ 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)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((a a)(a a))) REDUCED to normal form. ------ 43796/2977230. ------ 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.(^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. ------ 43797/2977284. ------ 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)(^y.a))((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (^z.z))(^x1.b))) 5. ==[ beta ]==> (a ((a (^z.z))(^x1.b))) 6. ==[ alpha ]==> (a ((a (^x.x))(^y.b))) REDUCED to normal form. ------ 43798/2977320. ------ 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. ------ 43799/2977347. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(a a))(^y.y))) 3. ==[ beta ]==> ((((a a) a) a)(a a)) REDUCED to normal form. ------ 43800/2977365. ------ 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. ------ 43801/2977401. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.a)(^b.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. ------ 43802/2977428. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 43803/2977455. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(a a))(^b.(^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. ------ 43804/2977482. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.a)(^c.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. ------ 43805/2977509. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(^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. ------ 43806/2977545. ------ 1. ==[ start ]==> (((a a)((a a) a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(a ((^x.x)(a a)))) 3. ==[ beta ]==> (((a a)((a a) a))(a (a a))) REDUCED to normal form. ------ 43807/2977572. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a b)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a b)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b)(a a))) REDUCED to normal form. ------ 43808/2977599. ------ 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. ------ 43809/2977626. ------ 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))((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a (a a)) a)((^y.y)((^z.z) a))) 6. ==[ alpha ]==> (((a (a a)) a)((^x.x)((^y.y) a))) 7. ==[ beta ]==> (((a (a a)) a)((^y.y) a)) 8. ==[ alpha ]==> (((a (a a)) a)((^x.x) a)) 9. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 43810/2977653. ------ 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. ------ 43811/2977680. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a a))(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(a a))(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((((a a) a)(a a))(a (^y.y))) 6. ==[ alpha ]==> ((((a a) a)(a a))(a (^x.x))) REDUCED to normal form. ------ 43812/2977698. ------ 1. ==[ start ]==> (((^a.b) a)(c (^c.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. ------ 43813/2977707. ------ 1. ==[ start ]==> ((a (a b))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (a b))((a (^x.x))((a a) a))) REDUCED to normal form. ------ 43814/2977797. ------ 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. ------ 43815/2977860. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(x x))(a (a a)))) 3. ==[ beta ]==> ((((a a) a) b)((a (a a))(a (a a)))) REDUCED to normal form. ------ 43816/2977878. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a) a)(^b.(^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. ------ 43817/2977887. ------ 1. ==[ start ]==> (((a b) a)((^b.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. ------ 43818/2977905. ------ 1. ==[ start ]==> (((^a.a)(a b))((a (^a.a))(^c.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))) REDUCED to normal form. ------ 43819/2977914. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(^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. ------ 43820/2977932. ------ 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)(^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. ------ 43821/2977968. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 43822/2977986. ------ 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) a) b)) REDUCED to normal form. ------ 43823/2978022. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.(^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. ------ 43824/2978049. ------ 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. ------ 43825/2978076. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 43826/2978112. ------ 1. ==[ start ]==> (((a a)(a b))(b ((a a) a))) REDUCED to normal form. ------ 43827/2978139. ------ 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. ------ 43828/2978166. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((a a) a)(a a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((a a) a)(a a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a) a)(a a))) 5. ==[ beta ]==> ((a (^y.y))(((a a) a)(a a))) 6. ==[ alpha ]==> ((a (^x.x))(((a a) a)(a a))) REDUCED to normal form. ------ 43829/2978193. ------ 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. ------ 43830/2978220. ------ 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. ------ 43831/2978247. ------ 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. ------ 43832/2978265. ------ 1. ==[ start ]==> (((^a.b) b)(c (^b.(^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. ------ 43833/2978274. ------ 1. ==[ start ]==> (((a b)(a a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((a (^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(a a))((a (^x.x))(^z.z))) 4. ==[ alpha ]==> (((a b)(a a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 43834/2978301. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a a)((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a a)((a a) a))) 3. ==[ beta ]==> ((a (a a))((a a)((a a) a))) REDUCED to normal form. ------ 43835/2978337. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 43836/2978391. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (a a))(^x1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))(^y1.a))) 5. ==[ beta ]==> ((^y.y)((a (a a))(^y1.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. ------ 43837/2978472. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 43838/2978481. ------ 1. ==[ start ]==> (((a b) b)((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a b) b)((^x.x)((a a) a))) 3. ==[ beta ]==> (((a b) b)((a a) a)) REDUCED to normal form. ------ 43839/2978526. ------ 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. ------ 43840/2978535. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.(^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. ------ 43841/2978553. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a (a a)) c)) 3. ==[ beta ]==> ((^y.y)((a (a a)) c)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) c)) 5. ==[ beta ]==> ((a (a a)) c) REDUCED to normal form. ------ 43842/2978562. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((^x1.a)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a)(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 43843/2978616. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 43844/2978688. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.(^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. ------ 43845/2978760. ------ 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. ------ 43846/2978787. ------ 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)))) 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. ------ 43847/2978913. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(^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. ------ 43848/2979012. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1) a) c)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) 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. ------ 43849/2979147. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 43850/2979156. ------ 1. ==[ start ]==> (((a b) c)(c (^b.a))) 2. ==[ alpha ]==> (((a b) c)(c (^x.a))) REDUCED to normal form. ------ 43851/2979183. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 43852/2979210. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(a (^y.(^z.z)))) REDUCED to normal form. ------ 43853/2979228. ------ 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. ------ 43854/2979255. ------ 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)(((^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. ------ 43855/2979264. ------ 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) REDUCED to normal form. ------ 43856/2979291. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 43857/2979309. ------ 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 y)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a a)(^y.(y y)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a a)(^x.(x x)))) REDUCED to normal form. ------ 43858/2979345. ------ 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. ------ 43859/2979372. ------ 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)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x))) a) REDUCED to normal form. ------ 43860/2979390. ------ 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 (^z.z)) c)) 4. ==[ alpha ]==> (b ((a (^x.x)) c)) REDUCED to normal form. ------ 43861/2979399. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 43862/2979426. ------ 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)(^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. ------ 43863/2979489. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 43864/2979516. ------ 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))) 5. ==[ beta ]==> (((a (^x.x))(a a))((a a) a)) REDUCED to normal form. ------ 43865/2979597. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(b c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b c)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b c)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b c)) 5. ==[ beta ]==> (((^y.y)(^z.z))(b c)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(b c)) 7. ==[ beta ]==> ((^y.y)(b c)) 8. ==[ alpha ]==> ((^x.x)(b c)) 9. ==[ beta ]==> (b c) REDUCED to normal form. ------ 43866/2979651. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(c (a a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(c (a a))) 3. ==[ beta ]==> (((a b) a)(c (a a))) REDUCED to normal form. ------ 43867/2979678. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(b (a (^z.z)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(b (a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(b (a (^y.y)))) REDUCED to normal form. ------ 43868/2979705. ------ 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. ------ 43869/2979732. ------ 1. ==[ start ]==> ((a (b a))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((a (b a))((a (^x.x))(a a))) REDUCED to normal form. ------ 43870/2979822. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 43871/2979903. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(^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. ------ 43872/2979966. ------ 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)(^x.x)) b)(a a)) REDUCED to normal form. ------ 43873/2980011. ------ 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. ------ 43874/2980037. ------ 1. ==[ start ]==> (^a.((^a.(^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. ------ 43875/2980038. ------ 1. ==[ start ]==> (a ((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (a ((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 43876/2980068. ------ 1. ==[ start ]==> ((^a.(a a))(^b.(b a))) 2. ==[ alpha ]==> ((^x.(x x))(^y.(y a))) 3. ==[ beta ]==> ((^y.(y a))(^y.(y a))) 4. ==[ alpha ]==> ((^x.(x a))(^y.(y a))) 5. ==[ beta ]==> ((^y.(y a)) a) 6. ==[ alpha ]==> ((^x.(x a)) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 43877/2984265. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a))) a) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z))) a) 3. ==[ beta ]==> ((^y.y) a) 4. ==[ alpha ]==> ((^x.x) a) 5. ==[ beta ]==> a REDUCED to normal form. ------ 43878/2984271. ------ 1. ==[ start ]==> ((^a.a)((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 43879/2984298. ------ 1. ==[ start ]==> ((^a.(a a))((^a.a)(b a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.y)(b a))) 3. ==[ beta ]==> (((^y.y)(b a))((^y.y)(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))) 7. ==[ beta ]==> ((b a)(b a)) REDUCED to normal form. ------ 43880/2984301. ------ 1. ==[ start ]==> ((a (a a))(^b.(b a))) 2. ==[ alpha ]==> ((a (a a))(^x.(x a))) REDUCED to normal form. ------ 43881/2984406. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^z.b)(^x1.(x1 x1)))(^y.y)) 4. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.z)) 5. ==[ beta ]==> (b (^z.z)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 43882/2984523. ------ 1. ==[ start ]==> ((^a.(^b.a))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(c ((^z.z)(a a)))) 3. ==[ beta ]==> (^y.(c ((^z.z)(a a)))) 4. ==[ alpha ]==> (^x.(c ((^y.y)(a a)))) 5. ==[ beta ]==> (^x.(c (a a))) REDUCED to normal form. ------ 43883/2984766. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z) a)(a b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 43884/2985216. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^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. ------ 43885/2985777. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(a a)))) 5. ==[ beta ]==> (b (^y.(^z.(a a)))) 6. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 43886/2985981. ------ 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. ------ 43887/2986002. ------ 1. ==[ start ]==> (((a a)((a a) a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 43888/2986161. ------ 1. ==[ start ]==> ((^a.(a b))(c (^c.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. ------ 43889/2986548. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^y.((c ((^z.z)(^x1.x1)))(c ((^z.z)(^x1.x1))))) 4. ==[ alpha ]==> (^x.((c ((^y.y)(^z.z)))(c ((^x1.x1)(^y1.y1))))) 5. ==[ beta ]==> (^x.((c (^z.z))(c ((^x1.x1)(^y1.y1))))) 6. ==[ alpha ]==> (^x.((c (^y.y))(c ((^z.z)(^x1.x1))))) 7. ==[ beta ]==> (^x.((c (^y.y))(c (^x1.x1)))) 8. ==[ alpha ]==> (^x.((c (^y.y))(c (^z.z)))) REDUCED to normal form. ------ 43890/2986596. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^b.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(^z.y))) REDUCED to normal form. ------ 43891/2986755. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(b (^c.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(b (^z.a))) 3. ==[ beta ]==> ((^y.y)((b (^z.a))(b (^z.a)))) 4. ==[ alpha ]==> ((^x.x)((b (^y.a))(b (^z.a)))) 5. ==[ beta ]==> ((b (^y.a))(b (^z.a))) 6. ==[ alpha ]==> ((b (^x.a))(b (^y.a))) REDUCED to normal form. ------ 43892/2986767. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^c.((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.((a a) a))) 3. ==[ beta ]==> ((^y.(a a))(^z.((a a) a))) 4. ==[ alpha ]==> ((^x.(a a))(^y.((a a) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 43893/2986938. ------ 1. ==[ start ]==> (((a b) b)(^c.(^c.a))) 2. ==[ alpha ]==> (((a b) b)(^x.(^y.a))) REDUCED to normal form. ------ 43894/2987406. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(^b.((^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))(^x.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 43895/2987430. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((((^z.(^x1.x1))(^y1.y1))((^z.(^x1.x1))(^y1.y1)))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.y))(^z.z))((^x1.(^y1.y1))(^z1.z1)))(^x2.x2)) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))(^z1.z1)))(^x2.x2)) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(^x1.x1)))(^y1.y1)) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.x1))(^y1.y1)) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.x1)) 9. ==[ beta ]==> ((^y.y)(^x1.x1)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 43896/2988000. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 43897/2988081. ------ 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)))(^x.a)) REDUCED to normal form. ------ 43898/2988162. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^b.(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(^z.a))) REDUCED to normal form. ------ 43899/2988186. ------ 1. ==[ start ]==> ((^a.(b a))(c (^a.a))) 2. ==[ alpha ]==> ((^x.(b x))(c (^y.y))) 3. ==[ eta ]==> (b (c (^y.y))) 4. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 43900/2988360. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (b (^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(x (^y.y)))) REDUCED to normal form. ------ 43901/2988423. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^c.(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 43902/2988468. ------ 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. ------ 43903/2988495. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(^a.a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(^x1.x1)) 3. ==[ beta ]==> ((^y.y)(^x1.x1)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 43904/2988507. ------ 1. ==[ start ]==> ((a a)((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 43905/2988534. ------ 1. ==[ start ]==> ((a (a a))((^a.a)(b a))) 2. ==[ alpha ]==> ((a (a a))((^x.x)(b a))) 3. ==[ beta ]==> ((a (a a))(b a)) REDUCED to normal form. ------ 43906/2988552. ------ 1. ==[ start ]==> (((a a) a)((b a) a)) REDUCED to normal form. ------ 43907/2988579. ------ 1. ==[ start ]==> (((a a)(^a.a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 43908/2988606. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y)(a a)) c)) 3. ==[ beta ]==> (b (((^y.y)(a a)) c)) 4. ==[ alpha ]==> (b (((^x.x)(a a)) c)) 5. ==[ beta ]==> (b ((a a) c)) REDUCED to normal form. ------ 43909/2988615. ------ 1. ==[ start ]==> (((a a)(a a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(^y.a))) 3. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 43910/2988642. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 43911/2988759. ------ 1. ==[ start ]==> ((a (^b.a))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(c ((^y.y)(a a)))) 3. ==[ beta ]==> ((a (^x.a))(c (a a))) REDUCED to normal form. ------ 43912/2988840. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> ((^y.a)(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> ((^x.a)(((a a)(^y.y))(a a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 43913/2988867. ------ 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)(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. ------ 43914/2988876. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.(a a)) c)) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(a a)) c)) 3. ==[ beta ]==> (((a (^x.x)) b)(a a)) REDUCED to normal form. ------ 43915/2988921. ------ 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. ------ 43916/2988948. ------ 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)(^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. ------ 43917/2989002. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)(a b))) 3. ==[ beta ]==> ((a (^x.(x x)))(a (a b))) REDUCED to normal form. ------ 43918/2989047. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 43919/2989092. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((a a)(^y.y))(^z.z))) 3. ==[ beta ]==> ((a a)(((a a)(^y.y))(^z.z))) 4. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 43920/2989173. ------ 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. ------ 43921/2989200. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(^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. ------ 43922/2989254. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a (^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(a (^z.b))) REDUCED to normal form. ------ 43923/2989281. ------ 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.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.(a a)))) REDUCED to normal form. ------ 43924/2989371. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.(a a))(^a.(^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. ------ 43925/2989398. ------ 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. ------ 43926/2989452. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 43927/2989542. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b ((^y1.y1)(a a)))) 5. ==[ beta ]==> ((^y.y)(b ((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((^x.x)(b ((^y.y)(a a)))) 7. ==[ beta ]==> (b ((^y.y)(a a))) 8. ==[ alpha ]==> (b ((^x.x)(a a))) 9. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 43928/2989596. ------ 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 a))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(a a))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(a a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a a))) 7. ==[ beta ]==> (((^y.y)(a a))(a a)) 8. ==[ alpha ]==> (((^x.x)(a a))(a a)) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 43929/2989605. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a)) b)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 43930/2989623. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a b)(a (^z.z)))) 3. ==[ beta ]==> ((^y.y)((a b)(a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)((a b)(a (^y.y)))) 5. ==[ beta ]==> ((a b)(a (^y.y))) 6. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 43931/2989632. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.b) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.b) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) b) REDUCED to normal form. ------ 43932/2989659. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^c.a) d)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.a) d)) 3. ==[ beta ]==> ((a (^y.a))((^z.a) d)) 4. ==[ alpha ]==> ((a (^x.a))((^y.a) d)) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 43933/2989677. ------ 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)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)(a (a a)))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(a (a a)))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (a a))) REDUCED to normal form. ------ 43934/2989776. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(b (^y.(a a)))) REDUCED to normal form. ------ 43935/2989830. ------ 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. ------ 43936/2989857. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.b)(a (^z.z)))) 5. ==[ beta ]==> ((a a)((^y.b)(a (^z.z)))) 6. ==[ alpha ]==> ((a a)((^x.b)(a (^y.y)))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 43937/2990010. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a a)(^z.(a a)))) 3. ==[ beta ]==> (((^y.y) b)((a a)(^z.(a a)))) 4. ==[ alpha ]==> (((^x.x) b)((a a)(^y.(a a)))) 5. ==[ beta ]==> (b ((a a)(^y.(a a)))) 6. ==[ alpha ]==> (b ((a a)(^x.(a a)))) REDUCED to normal form. ------ 43938/2990037. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(a a)) a)) 3. ==[ beta ]==> ((((a a) a) a)((a a) a)) REDUCED to normal form. ------ 43939/2990091. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((a a) a) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a) c)) REDUCED to normal form. ------ 43940/2990217. ------ 1. ==[ start ]==> ((a (^a.b))(b (a b))) 2. ==[ alpha ]==> ((a (^x.b))(b (a b))) REDUCED to normal form. ------ 43941/2990235. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.x)(^y.(a a)))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.(a a))) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.(a a))) REDUCED to normal form. ------ 43942/2990397. ------ 1. ==[ start ]==> ((a (a b))(c (^c.a))) 2. ==[ alpha ]==> ((a (a b))(c (^x.a))) REDUCED to normal form. ------ 43943/2990406. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z))((a a) a))) 3. ==[ beta ]==> ((^y.b)((a (^z.z))((a a) a))) 4. ==[ alpha ]==> ((^x.b)((a (^y.y))((a a) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 43944/2990550. ------ 1. ==[ start ]==> ((((a a) a) b)((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 43945/2990577. ------ 1. ==[ start ]==> (((a b) a)(((^a.a) a)(^b.(^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. ------ 43946/2990604. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 43947/2990658. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 43948/2990685. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((a a) a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((a a) a) b)) REDUCED to normal form. ------ 43949/2990712. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1)(^y1.y1)) c)) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1)(^y1.y1)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1)) c)) 5. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1)) c)) 6. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z)) c)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 43950/2990784. ------ 1. ==[ start ]==> ((a (^b.(a a)))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (^x.(a a)))(c (^z.z))) 4. ==[ alpha ]==> ((a (^x.(a a)))(c (^y.y))) REDUCED to normal form. ------ 43951/2990802. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(^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. ------ 43952/2990829. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y)(^z.b))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.b)) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.b)) REDUCED to normal form. ------ 43953/2990964. ------ 1. ==[ start ]==> (((a b)(a a))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(c (^x.(^y.y)))) REDUCED to normal form. ------ 43954/2990991. ------ 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. ------ 43955/2991000. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a a)((a a) a))) 3. ==[ beta ]==> ((^y.(a a))((a a)((a a) a))) 4. ==[ alpha ]==> ((^x.(a a))((a a)((a a) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 43956/2991171. ------ 1. ==[ start ]==> (((a b) b)((a a)(^c.a))) 2. ==[ alpha ]==> (((a b) b)((a a)(^x.a))) REDUCED to normal form. ------ 43957/2991198. ------ 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. ------ 43958/2991225. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (((a a)(^x.(a a)))((^z.z) b)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y) b)) 5. ==[ beta ]==> (((a a)(^x.(a a))) b) REDUCED to normal form. ------ 43959/2991252. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (a a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (a a)) c)) REDUCED to normal form. ------ 43960/2991360. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^c.a) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.a) a)) 3. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 43961/2991378. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(a (^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. ------ 43962/2991387. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 43963/2991477. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(b (^y.(^z.z)))) REDUCED to normal form. ------ 43964/2991531. ------ 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))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 43965/2991558. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> ((a (a a))((^y.(y y))(a (^z.z)))) 6. ==[ alpha ]==> ((a (a a))((^x.(x x))(a (^y.y)))) 7. ==[ beta ]==> ((a (a a))((a (^y.y))(a (^y.y)))) 8. ==[ alpha ]==> ((a (a a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 43966/2991585. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((((a a) a) a)((^y.a)((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.a)((^y.y) a))) 5. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 43967/2991603. ------ 1. ==[ start ]==> (((^a.b) c)((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)((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. ------ 43968/2991612. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(^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. ------ 43969/2991639. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)((^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. ------ 43970/2991666. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 43971/2991837. ------ 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. ------ 43972/2991846. ------ 1. ==[ start ]==> (((a b) c)((^b.a) c)) 2. ==[ alpha ]==> (((a b) c)((^x.a) c)) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 43973/2991954. ------ 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)))) 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. ------ 43974/2991981. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^y.b))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.b))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 43975/2992035. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (a a)) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (a a)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a)) a)) 5. ==[ beta ]==> ((^y.(^z.z))((a (a a)) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((a (a a)) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 43976/2992062. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((^y.y) a) b)) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a b)) REDUCED to normal form. ------ 43977/2992080. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(c (a (^z.z)))) 3. ==[ beta ]==> (b (c (a (^z.z)))) 4. ==[ alpha ]==> (b (c (a (^x.x)))) REDUCED to normal form. ------ 43978/2992089. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (^a.a)) c)) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y)) c)) REDUCED to normal form. ------ 43979/2992143. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(z z)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 43980/2992206. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(b (^b.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. ------ 43981/2992233. ------ 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. ------ 43982/2992260. ------ 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) REDUCED to normal form. ------ 43983/2992287. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(a (^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 9. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 10. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 43984/2992314. ------ 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. ------ 43985/2992341. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 43986/2992368. ------ 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.(^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. ------ 43987/2992395. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.y)(^z.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.a)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.a)) REDUCED to normal form. ------ 43988/2992422. ------ 1. ==[ start ]==> ((a (b a))(c (^a.a))) 2. ==[ alpha ]==> ((a (b a))(c (^x.x))) REDUCED to normal form. ------ 43989/2992512. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(b b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(b b)) 3. ==[ beta ]==> (((^y.b)(^y.b))(b b)) 4. ==[ alpha ]==> (((^x.b)(^y.b))(b b)) 5. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 43990/2992593. ------ 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 (a (a (^z.z)))) 4. ==[ alpha ]==> (b (a (a (^x.x)))) REDUCED to normal form. ------ 43991/2992656. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a a)(^y.y))) REDUCED to normal form. ------ 43992/2992701. ------ 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. ------ 43993/2992728. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(a a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(a a)) 3. ==[ beta ]==> ((^y.y)(a a)) 4. ==[ alpha ]==> ((^x.x)(a a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 43994/2993559. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.((a a)(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 43995/2996964. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a))) b) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z))) b) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 43996/2996988. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 43997/2997018. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^b.(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^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. ------ 43998/2997033. ------ 1. ==[ start ]==> ((^a.b)((b a) a)) 2. ==[ alpha ]==> ((^x.b)((b a) a)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 43999/2997231. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.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. ------ 44000/2997573. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((a a)(^y.y))(^z.z))) 3. ==[ beta ]==> ((((a a)(^y.y))(^z.z))((((a a)(^y.y))(^z.z))(((a a)(^y.y))(^z.z)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((((a a)(^z.z))(^x1.x1))(((a a)(^y1.y1))(^z1.z1)))) REDUCED to normal form. ------ 44001/2997798. ------ 1. ==[ start ]==> ((^a.(^b.(^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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 44002/2997801. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 44003/2998053. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.((y y)(^z.z)))) 5. ==[ beta ]==> (a (^y.((y y)(^z.z)))) 6. ==[ alpha ]==> (a (^x.((x x)(^y.y)))) REDUCED to normal form. ------ 44004/2998356. ------ 1. ==[ start ]==> ((^a.((a a) a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.((x x) x))(((a a) a)(^y.a))) 3. ==[ beta ]==> (((((a a) a)(^y.a))(((a a) a)(^y.a)))(((a a) a)(^y.a))) 4. ==[ alpha ]==> (((((a a) a)(^x.a))(((a a) a)(^y.a)))(((a a) a)(^z.a))) REDUCED to normal form. ------ 44005/2998689. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(^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. ------ 44006/2999256. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.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. ------ 44007/2999502. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.(^y1.b))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.b))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.b))) 5. ==[ beta ]==> (^y.(^z.b)) 6. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 44008/2999835. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^a.((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.((y y) y))) REDUCED to normal form. ------ 44009/3000138. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (((((^z.z)(^x1.x1)) a)(((^z.z)(^x1.x1)) a))(^y.y)) 4. ==[ alpha ]==> (((((^x.x)(^y.y)) a)(((^z.z)(^x1.x1)) a))(^y1.y1)) 5. ==[ beta ]==> ((((^y.y) a)(((^z.z)(^x1.x1)) a))(^y1.y1)) 6. ==[ alpha ]==> ((((^x.x) a)(((^y.y)(^z.z)) a))(^x1.x1)) 7. ==[ beta ]==> ((a (((^y.y)(^z.z)) a))(^x1.x1)) 8. ==[ alpha ]==> ((a (((^x.x)(^y.y)) a))(^z.z)) 9. ==[ beta ]==> ((a ((^y.y) a))(^z.z)) 10. ==[ alpha ]==> ((a ((^x.x) a))(^y.y)) 11. ==[ beta ]==> ((a a)(^y.y)) 12. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 44010/3000393. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^a.(^b.(^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. ------ 44011/3000618. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(z (z z)))) REDUCED to normal form. ------ 44012/3000894. ------ 1. ==[ start ]==> ((^a.(b a))((^b.a) a)) 2. ==[ alpha ]==> ((^x.(b x))((^y.a) a)) 3. ==[ eta ]==> (b ((^y.a) a)) 4. ==[ alpha ]==> (b ((^x.a) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 44013/3001068. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^b.(^a.(^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. ------ 44014/3001176. ------ 1. ==[ start ]==> (((^a.a)(b a))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.(^z.z))) 3. ==[ beta ]==> ((b a)(^y.(^z.z))) 4. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 44015/3001203. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 44016/3001233. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 44017/3001260. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^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. ------ 44018/3001278. ------ 1. ==[ start ]==> ((a b)((b a) a)) REDUCED to normal form. ------ 44019/3001368. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 44020/3001422. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 44021/3001449. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 44022/3001476. ------ 1. ==[ start ]==> ((a (^b.a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 44023/3001512. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(b ((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.y)(b ((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. ------ 44024/3001593. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) b)((a a)(a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a a)(a (^y.y)))) REDUCED to normal form. ------ 44025/3001620. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a b)((^y.y) a))) 3. ==[ beta ]==> ((a a)((a b)((^y.y) a))) 4. ==[ alpha ]==> ((a a)((a b)((^x.x) a))) 5. ==[ beta ]==> ((a a)((a b) a)) REDUCED to normal form. ------ 44026/3001647. ------ 1. ==[ start ]==> (((a a)(^b.a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 44027/3001674. ------ 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)(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)(^z1.z1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.y1))) 7. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 8. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 44028/3001701. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^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. ------ 44029/3001818. ------ 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. ------ 44030/3001854. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(a a))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> ((^y.(a a))(a (^z.z))) 6. ==[ alpha ]==> ((^x.(a a))(a (^y.y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 44031/3001935. ------ 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. ------ 44032/3001962. ------ 1. ==[ start ]==> (((^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) 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. ------ 44033/3002016. ------ 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.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. ------ 44034/3002043. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 44035/3002061. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(a (a a)))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 44036/3002088. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z)(a a)) b)) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z)(a a)) b)) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(a a)) b)) 5. ==[ beta ]==> (((a (^x.x)) a)((a a) b)) REDUCED to normal form. ------ 44037/3002115. ------ 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. ------ 44038/3002178. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.(^a.a))(^b.(^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. ------ 44039/3002259. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(^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. ------ 44040/3002268. ------ 1. ==[ start ]==> (((a (a a)) b)(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)(b ((^x.x)(a a)))) 3. ==[ beta ]==> (((a (a a)) b)(b (a a))) REDUCED to normal form. ------ 44041/3002295. ------ 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. ------ 44042/3002322. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 44043/3002349. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a b)(a (^z.z)))) REDUCED to normal form. ------ 44044/3002376. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> ((a (^y.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. ------ 44045/3002403. ------ 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. ------ 44046/3002430. ------ 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. ------ 44047/3002547. ------ 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. ------ 44048/3002574. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a b)(^a.(^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. ------ 44049/3002601. ------ 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. ------ 44050/3002637. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 44051/3002691. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.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. ------ 44052/3002772. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((a a) a)((^y.(a a))(^z.z))) 4. ==[ alpha ]==> (((a a) a)((^x.(a a))(^y.y))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 44053/3002799. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.b)(^a.(^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. ------ 44054/3002853. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(x1 x1)))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(z z)))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 44055/3002934. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(^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. ------ 44056/3002979. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(a a)) a)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(a a)) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(a a)) a)) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 44057/3003006. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.b) b)) 3. ==[ beta ]==> ((a (a (a a)))((^y.b) b)) 4. ==[ alpha ]==> ((a (a (a a)))((^x.b) b)) 5. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 44058/3003105. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 44059/3003123. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(c (^c.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. ------ 44060/3003204. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.b)(a a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.b)(a a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.b)(a a))) IRREDUCIBLE: cycle. ------ 44061/3003285. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 44062/3003312. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.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. ------ 44063/3003339. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 44064/3003393. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.b)(^z.z))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.b)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.b)(^y.y))) 5. ==[ beta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 44065/3003474. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 44066/3003501. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.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. ------ 44067/3003573. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.b) a)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.b) a)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.b) a)) 5. ==[ beta ]==> ((a (^y.y))((^z.b) a)) 6. ==[ alpha ]==> ((a (^x.x))((^y.b) a)) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 44068/3003627. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1)) c)) 6. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z)) c)) 7. ==[ beta ]==> (a ((^y.(^z.z)) c)) 8. ==[ alpha ]==> (a ((^x.(^y.y)) c)) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 44069/3003672. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> (b (((^y.y) a)(a (a a)))) 4. ==[ alpha ]==> (b (((^x.x) a)(a (a a)))) 5. ==[ beta ]==> (b (a (a (a a)))) REDUCED to normal form. ------ 44070/3003717. ------ 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 a) REDUCED to normal form. ------ 44071/3003744. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(a (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(a (^x1.b))) 3. ==[ beta ]==> ((^y.y)(a (^x1.b))) 4. ==[ alpha ]==> ((^x.x)(a (^y.b))) 5. ==[ beta ]==> (a (^y.b)) 6. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 44072/3003798. ------ 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 (^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. ------ 44073/3003879. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 44074/3003960. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.(^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. ------ 44075/3004014. ------ 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)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.a)(^z1.(z1 z1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.a)(^z1.(z1 z1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(^y1.(y1 y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(^y1.(y1 y1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.(x1 x1)))) 9. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(x1 x1)))) 10. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(z z)))) 11. ==[ beta ]==> ((^y.a)(^z.(z z))) 12. ==[ alpha ]==> ((^x.a)(^y.(y y))) 13. ==[ beta ]==> a REDUCED to normal form. ------ 44076/3004023. ------ 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. ------ 44077/3004050. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(b ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))(b ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))(b ((^y.y)(^z.z)))) 7. ==[ beta ]==> ((b ((^y.y)(^z.z)))(b ((^y.y)(^z.z)))) 8. ==[ alpha ]==> ((b ((^x.x)(^y.y)))(b ((^z.z)(^x1.x1)))) 9. ==[ beta ]==> ((b (^y.y))(b ((^z.z)(^x1.x1)))) 10. ==[ alpha ]==> ((b (^x.x))(b ((^y.y)(^z.z)))) 11. ==[ beta ]==> ((b (^x.x))(b (^z.z))) 12. ==[ alpha ]==> ((b (^x.x))(b (^y.y))) REDUCED to normal form. ------ 44078/3004077. ------ 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. ------ 44079/3004104. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 44080/3004131. ------ 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. ------ 44081/3004248. ------ 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))(^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. ------ 44082/3004275. ------ 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. ------ 44083/3004302. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x) 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. ------ 44084/3004320. ------ 1. ==[ start ]==> (((^a.b) c)(c d)) 2. ==[ alpha ]==> (((^x.b) c)(c d)) 3. ==[ beta ]==> (b (c d)) REDUCED to normal form. ------ 44085/3004329. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 44086/3004356. ------ 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. ------ 44087/3004383. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.z) a)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y) a)) 5. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 44088/3004419. ------ 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))(^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. ------ 44089/3004563. ------ 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. ------ 44090/3004590. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 44091/3004617. ------ 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. ------ 44092/3004635. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(a (^b.(^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. ------ 44093/3004662. ------ 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))(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(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. ------ 44094/3004698. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(c c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(c c)) 3. ==[ beta ]==> ((a (^y.b))(c c)) 4. ==[ alpha ]==> ((a (^x.b))(c c)) REDUCED to normal form. ------ 44095/3004716. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))((^z.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. ------ 44096/3004797. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 44097/3004806. ------ 1. ==[ start ]==> (((a b)(^b.a))(c (a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(c (a (^y.y)))) REDUCED to normal form. ------ 44098/3004833. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 44099/3004860. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(a (a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (a (a a)))) REDUCED to normal form. ------ 44100/3004896. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.a) b)) 3. ==[ beta ]==> (((a a)((a a)(^x.x))) a) REDUCED to normal form. ------ 44101/3004977. ------ 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))) 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. ------ 44102/3005004. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 10. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 44103/3005031. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((a a)(^x.a))) REDUCED to normal form. ------ 44104/3005058. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 44105/3005085. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a (^z.z)) b)) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a (^z.z)) b)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.y)) b)) REDUCED to normal form. ------ 44106/3005139. ------ 1. ==[ start ]==> ((a (b a))((^b.a) a)) 2. ==[ alpha ]==> ((a (b a))((^x.a) a)) 3. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 44107/3005229. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(^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 (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 44108/3005310. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 44109/3005373. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(b a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(b a)) REDUCED to normal form. ------ 44110/3005418. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.y)(^z.z))) 3. ==[ beta ]==> ((b a)((^y.y)(^z.z))) 4. ==[ alpha ]==> ((b a)((^x.x)(^y.y))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 44111/3005445. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(a (^x1.x1))) 3. ==[ beta ]==> ((^y.y)(a (^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 44112/3005790. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^a.(b a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.(b z))) 3. ==[ eta ]==> ((^y.y)(^z.(b z))) 4. ==[ alpha ]==> ((^x.x)(^y.(b y))) 5. ==[ eta ]==> ((^x.x) b) 6. ==[ beta ]==> b REDUCED to normal form. ------ 44113/3006285. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 44114/3009381. ------ 1. ==[ start ]==> ((^a.(b a))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((^x.(b x))(^y.((^z.z) y))) 3. ==[ eta ]==> (b (^y.((^z.z) y))) 4. ==[ alpha ]==> (b (^x.((^y.y) x))) 5. ==[ eta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 44115/3009762. ------ 1. ==[ start ]==> (((a a) a)(^b.(b a))) 2. ==[ alpha ]==> (((a a) a)(^x.(x a))) REDUCED to normal form. ------ 44116/3009804. ------ 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. ------ 44117/3010038. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(a (b a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(a (b a))) 3. ==[ eta ]==> ((^y.y)(a (b a))) 4. ==[ alpha ]==> ((^x.x)(a (b a))) 5. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 44118/3010041. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^a.(b a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.(b y))) 3. ==[ eta ]==> ((a ((^x.x) a)) b) 4. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 44119/3010533. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 44120/3010536. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 44121/3010788. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^b.(^c.(^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. ------ 44122/3011247. ------ 1. ==[ start ]==> ((((a a) a) a)(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a) a)(^x.(a a))) REDUCED to normal form. ------ 44123/3011472. ------ 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.y1)(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.((^y1.y1)(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.((^x1.x1)(z z)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^z.(z z))) REDUCED to normal form. ------ 44124/3011604. ------ 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 ]==> ((((^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) REDUCED to normal form. ------ 44125/3011868. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 44126/3012066. ------ 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 (^y.y))(^z.(z b))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(y b))) REDUCED to normal form. ------ 44127/3012198. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a (^z.z))((^x1.x1)(^y1.y1)))((a (^z.z))((^x1.x1)(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(((a (^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))((^z1.z1)(^x2.x2))))) 5. ==[ beta ]==> (((a (^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> (((a (^x.x))(^z.z))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 8. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 9. ==[ beta ]==> (((a (^x.x))(^y.y))((a (^z.z))(^y1.y1))) 10. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 44128/3012408. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.((a a) a))) 3. ==[ beta ]==> (((a a) a)(^y.((a a) a))) 4. ==[ alpha ]==> (((a a) a)(^x.((a a) a))) REDUCED to normal form. ------ 44129/3012570. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^b.(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 44130/3013245. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(a (a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 44131/3013353. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 44132/3013443. ------ 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))(^x.a)) REDUCED to normal form. ------ 44133/3013629. ------ 1. ==[ start ]==> ((^a.(b a))(a ((^a.a) a))) 2. ==[ alpha ]==> ((^x.(b x))(a ((^y.y) a))) 3. ==[ eta ]==> (b (a ((^y.y) a))) 4. ==[ alpha ]==> (b (a ((^x.x) a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 44134/3013632. ------ 1. ==[ start ]==> ((a (b a))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((a (b a))(^x.((^y.y) x))) 3. ==[ eta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 44135/3013803. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^c.b)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.b)) 3. ==[ beta ]==> (b (^z.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 44136/3013866. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 44137/3013911. ------ 1. ==[ start ]==> (((^a.a)(b a))(^c.a)) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.a)) 3. ==[ beta ]==> ((b a)(^y.a)) 4. ==[ alpha ]==> ((b a)(^x.a)) REDUCED to normal form. ------ 44138/3013938. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(^b.a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(^x1.a)) 3. ==[ beta ]==> ((^y.y)(^x1.a)) 4. ==[ alpha ]==> ((^x.x)(^y.a)) 5. ==[ beta ]==> (^y.a) 6. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 44139/3013986. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(^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. ------ 44140/3014013. ------ 1. ==[ start ]==> (((a a) a)((^a.a)(b a))) 2. ==[ alpha ]==> (((a a) a)((^x.x)(b a))) 3. ==[ beta ]==> (((a a) a)(b a)) REDUCED to normal form. ------ 44141/3014031. ------ 1. ==[ start ]==> (((^a.a)(a a))((b a) a)) 2. ==[ alpha ]==> (((^x.x)(a a))((b a) a)) 3. ==[ beta ]==> ((a a)((b a) a)) REDUCED to normal form. ------ 44142/3014058. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z)) b)) REDUCED to normal form. ------ 44143/3014067. ------ 1. ==[ start ]==> (((^a.a) b)((^c.(^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)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 44144/3014094. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.(a a))(^b.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. ------ 44145/3014121. ------ 1. ==[ start ]==> (((a a) b)((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a) b)((^x.b)(^y.(y y)))) 3. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 44146/3014175. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 44147/3014202. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.b)(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b)(^x1.b))) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 44148/3014256. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 44149/3014265. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 44150/3014292. ------ 1. ==[ start ]==> ((a ((^a.a) a))(a (b a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(a (b a))) 3. ==[ beta ]==> ((a a)(a (b a))) REDUCED to normal form. ------ 44151/3014481. ------ 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) 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. ------ 44152/3014508. ------ 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.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(a a))) REDUCED to normal form. ------ 44153/3014535. ------ 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. ------ 44154/3014571. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.(y y))(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.(x x))(((a a)(^y.y))(^z.z))) 5. ==[ beta ]==> ((((a a)(^y.y))(^z.z))(((a a)(^y.y))(^z.z))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 44155/3014598. ------ 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))(^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. ------ 44156/3014634. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.b)((^z.z) a))) 3. ==[ beta ]==> ((a b)((^y.b)((^z.z) a))) 4. ==[ alpha ]==> ((a b)((^x.b)((^y.y) a))) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 44157/3014652. ------ 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 ]==> (((^y.y)(^y.y))(((a a) a)(^z.(z z)))) 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. ------ 44158/3014679. ------ 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. ------ 44159/3014688. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 44160/3014715. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(z z))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 44161/3014742. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)(a b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(a b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(a b))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 44162/3014760. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(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. ------ 44163/3014769. ------ 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. ------ 44164/3014787. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 44165/3014877. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.b)(^b.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. ------ 44166/3015012. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(^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. ------ 44167/3015084. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^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. ------ 44168/3015210. ------ 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)(^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. ------ 44169/3015237. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a (^y.y))(a b))) REDUCED to normal form. ------ 44170/3015264. ------ 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. ------ 44171/3015381. ------ 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)(^z1.z1))(^x2.(x2 x2)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 x1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z z))) 7. ==[ beta ]==> ((^y.y)(^z.(z z))) 8. ==[ alpha ]==> ((^x.x)(^y.(y y))) 9. ==[ beta ]==> (^y.(y y)) 10. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 44172/3015435. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> (a (((^z.z) a)(^x1.a))) 6. ==[ alpha ]==> (a (((^x.x) a)(^y.a))) 7. ==[ beta ]==> (a (a (^y.a))) 8. ==[ alpha ]==> (a (a (^x.a))) REDUCED to normal form. ------ 44173/3015471. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(a b))) 5. ==[ beta ]==> (b ((^y.(^z.z))(a b))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(a b))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 44174/3015498. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.x)((^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. ------ 44175/3015516. ------ 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)) 5. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 44176/3015543. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a b) b)) 3. ==[ beta ]==> ((^y.y)((a b) b)) 4. ==[ alpha ]==> ((^x.x)((a b) b)) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 44177/3015552. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.b)(^a.(^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. ------ 44178/3015606. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 44179/3015633. ------ 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.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 44180/3015660. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 44181/3015696. ------ 1. ==[ start ]==> (((a a)((a a) a))(b (a b))) REDUCED to normal form. ------ 44182/3015723. ------ 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.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a ((^z.z)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a (a a))) REDUCED to normal form. ------ 44183/3015750. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((a b)(a a))) 3. ==[ beta ]==> ((a (a (a a)))((a b)(a a))) REDUCED to normal form. ------ 44184/3015777. ------ 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. ------ 44185/3015804. ------ 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))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)((^x1.x1) a))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z) a))) 9. ==[ beta ]==> ((a (^x.x))((^z.z) a)) 10. ==[ alpha ]==> ((a (^x.x))((^y.y) a)) 11. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 44186/3015831. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 44187/3015858. ------ 1. ==[ start ]==> ((a (a b))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(((^x.x) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a b))(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. ------ 44188/3015948. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a b)(^z.z))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a b)(^z.z))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a b)(^z.z))) IRREDUCIBLE: cycle. ------ 44189/3016011. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.(^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. ------ 44190/3016029. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> (b ((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 44191/3016038. ------ 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. ------ 44192/3016056. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a) a)(^b.(^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. ------ 44193/3016065. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.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. ------ 44194/3016119. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 44195/3016137. ------ 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. ------ 44196/3016146. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.b)(^z.z))) 3. ==[ beta ]==> (((a (a a))(^x.(x x))) b) REDUCED to normal form. ------ 44197/3016173. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^c.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. ------ 44198/3016200. ------ 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. ------ 44199/3016227. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (((a b)(^x.x))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 44200/3016263. ------ 1. ==[ start ]==> (((a a)(a b))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(c ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a a)(a b))(c (^y.y))) 4. ==[ alpha ]==> (((a a)(a b))(c (^x.x))) REDUCED to normal form. ------ 44201/3016290. ------ 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. ------ 44202/3016317. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(a (a b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(a (a b))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(a (a b))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(a (a b))) 5. ==[ beta ]==> ((a (^y.y))(a (a b))) 6. ==[ alpha ]==> ((a (^x.x))(a (a b))) REDUCED to normal form. ------ 44203/3016344. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((a a) a)(a a))) REDUCED to normal form. ------ 44204/3016371. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> (a (((^y.y)(^z.z))(a (^x1.x1)))) 8. ==[ alpha ]==> (a (((^x.x)(^y.y))(a (^z.z)))) 9. ==[ beta ]==> (a ((^y.y)(a (^z.z)))) 10. ==[ alpha ]==> (a ((^x.x)(a (^y.y)))) 11. ==[ beta ]==> (a (a (^y.y))) 12. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 44205/3016398. ------ 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. ------ 44206/3016425. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x) a)(a (a a)))) 3. ==[ beta ]==> (((a b)(a a))(a (a (a a)))) REDUCED to normal form. ------ 44207/3016452. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((a (^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a a))((a (^x.x))(^z.z))) 6. ==[ alpha ]==> ((a (a a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 44208/3016542. ------ 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))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 11. ==[ beta ]==> (^y.(^z.z)) 12. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 44209/3016623. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 44210/3016632. ------ 1. ==[ start ]==> (((a b) b)((^a.(^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. ------ 44211/3016659. ------ 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))) 5. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 44212/3016677. ------ 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. ------ 44213/3016686. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 44214/3016704. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> (((^y.y)(^z.z)) b) 6. ==[ alpha ]==> (((^x.x)(^y.y)) b) 7. ==[ beta ]==> ((^y.y) b) 8. ==[ alpha ]==> ((^x.x) b) 9. ==[ beta ]==> b REDUCED to normal form. ------ 44215/3016713. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.(^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. ------ 44216/3016767. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 44217/3016794. ------ 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.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.y1)))((^y.(^z.z))(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 9. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 44218/3016821. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.a)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.a)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.a)) REDUCED to normal form. ------ 44219/3016839. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^c.a) a)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.a) a)) 3. ==[ beta ]==> (b ((^z.a) a)) 4. ==[ alpha ]==> (b ((^x.a) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 44220/3016911. ------ 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.z) a))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) 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. ------ 44221/3016938. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 44222/3016965. ------ 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. ------ 44223/3017064. ------ 1. ==[ start ]==> (((^a.b) c)((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) c)((^y.a)((^z.z) a))) 3. ==[ beta ]==> (b ((^y.a)((^z.z) a))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 44224/3017073. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(c d)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(c d)) REDUCED to normal form. ------ 44225/3017163. ------ 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)) b)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) b)) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 44226/3017298. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 44227/3017307. ------ 1. ==[ start ]==> (((a b) c)(d (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(d (^x.(^y.y)))) REDUCED to normal form. ------ 44228/3017334. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(c (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(c (^y.a))) 3. ==[ beta ]==> (((a a) b)(c (^y.a))) 4. ==[ alpha ]==> (((a a) b)(c (^x.a))) REDUCED to normal form. ------ 44229/3017361. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(b (^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(b (^y.(y y)))) REDUCED to normal form. ------ 44230/3017406. ------ 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. ------ 44231/3017415. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(z z))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((a a)(a a))) REDUCED to normal form. ------ 44232/3017442. ------ 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) REDUCED to normal form. ------ 44233/3017460. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a (^y.y))(^z.a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a (^y.y))(^z.a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 44234/3017496. ------ 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. ------ 44235/3017523. ------ 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))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((^z.z)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y)(^z.z))) 5. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 44236/3017541. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 44237/3017550. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 44238/3017577. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))(^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. ------ 44239/3017604. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.(x1 x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(z z))) REDUCED to normal form. ------ 44240/3017640. ------ 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. ------ 44241/3017667. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 44242/3017694. ------ 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))) 5. ==[ beta ]==> ((a (a b))((a a) a)) REDUCED to normal form. ------ 44243/3017775. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(b c)) REDUCED to normal form. ------ 44244/3017856. ------ 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. ------ 44245/3017883. ------ 1. ==[ start ]==> ((a (b a))(a ((^a.a) a))) 2. ==[ alpha ]==> ((a (b a))(a ((^x.x) a))) 3. ==[ beta ]==> ((a (b a))(a a)) REDUCED to normal form. ------ 44246/3017973. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (^z.z))(^x1.x1))) 5. ==[ beta ]==> (b ((a (^z.z))(^x1.x1))) 6. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 44247/3018054. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a a) b)) 3. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 44248/3018117. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(a (^y.(^z.z)))) REDUCED to normal form. ------ 44249/3018162. ------ 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. ------ 44250/3018189. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.x1) a)) 3. ==[ beta ]==> ((^y.y)((^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. ------ 44251/3018215. ------ 1. ==[ start ]==> (^a.((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (^x.((^y.x)((^z.z)(x x)))) 3. ==[ beta ]==> (^x.x) REDUCED to normal form. ------ 44252/3018216. ------ 1. ==[ start ]==> (a ((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (a ((^x.a)((^y.y)(a a)))) 3. ==[ beta ]==> (a a) REDUCED to normal form. ------ 44253/3018273. ------ 1. ==[ start ]==> ((^a.b)(^b.(b a))) 2. ==[ alpha ]==> ((^x.b)(^y.(y a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 44254/3021378. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^z.((^x1.x1)(^y1.y1)))(^z.((^x1.x1)(^y1.y1))))(^y.y)) 4. ==[ alpha ]==> (((^x.((^y.y)(^z.z)))(^x1.((^y1.y1)(^z1.z1))))(^x2.x2)) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x2.x2)) 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. ------ 44255/3022134. ------ 1. ==[ start ]==> ((^a.(b a))(^b.(^b.a))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(^z.a))) 3. ==[ eta ]==> (b (^y.(^z.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 44256/3022476. ------ 1. ==[ start ]==> ((^a.a)((^b.a)((^a.a)(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. ------ 44257/3022503. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(^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. ------ 44258/3022530. ------ 1. ==[ start ]==> ((^a.b)((^a.a)(b a))) 2. ==[ alpha ]==> ((^x.b)((^y.y)(b a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 44259/3022533. ------ 1. ==[ start ]==> ((a b)(^b.(b a))) 2. ==[ alpha ]==> ((a b)(^x.(x a))) REDUCED to normal form. ------ 44260/3022611. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.(a a))(^b.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. ------ 44261/3022812. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^a.(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(b z))) 3. ==[ eta ]==> (((^x.x)(^y.a)) b) 4. ==[ beta ]==> ((^y.a) b) 5. ==[ alpha ]==> ((^x.a) b) 6. ==[ beta ]==> a REDUCED to normal form. ------ 44262/3022971. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (a a))((a a) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 44263/3023316. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 44264/3023568. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.((x1 x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.((x1 x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((z z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.((z z)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(^y.((y y)(^z.z)))) 7. ==[ beta ]==> (^y.((y y)(^z.z))) 8. ==[ alpha ]==> (^x.((x x)(^y.y))) REDUCED to normal form. ------ 44265/3023853. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> ((((^y.b)(a (^z.z)))((^y.b)(a (^z.z))))((^y.b)(a (^z.z)))) 4. ==[ alpha ]==> ((((^x.b)(a (^y.y)))((^z.b)(a (^x1.x1))))((^y1.b)(a (^z1.z1)))) 5. ==[ beta ]==> ((b ((^z.b)(a (^x1.x1))))((^y1.b)(a (^z1.z1)))) 6. ==[ alpha ]==> ((b ((^x.b)(a (^y.y))))((^z.b)(a (^x1.x1)))) 7. ==[ beta ]==> ((b b)((^z.b)(a (^x1.x1)))) 8. ==[ alpha ]==> ((b b)((^x.b)(a (^y.y)))) 9. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 44266/3024186. ------ 1. ==[ start ]==> ((^a.(^a.b))(c ((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))(c ((a a) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 44267/3024234. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 44268/3024630. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^c.(^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. ------ 44269/3024828. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(^x1.(^y1.x1))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(^x1.z))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.z))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 44270/3024999. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^c.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.((a a) a))) 3. ==[ beta ]==> ((^y.y)(^x1.((a a) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a) a))) 5. ==[ beta ]==> (^y.((a a) a)) 6. ==[ alpha ]==> (^x.((a a) a)) REDUCED to normal form. ------ 44271/3025350. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.((z z) z))) 3. ==[ beta ]==> (b (^z.((z z) z))) 4. ==[ alpha ]==> (b (^x.((x x) x))) REDUCED to normal form. ------ 44272/3025635. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((^z.z)((^x1.x1)(^y1.y1)))((^z.z)((^x1.x1)(^y1.y1))))(^y.y)) 4. ==[ alpha ]==> ((((^x.x)((^y.y)(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1))))(^x2.x2)) 5. ==[ beta ]==> ((((^y.y)(^z.z))((^x1.x1)((^y1.y1)(^z1.z1))))(^x2.x2)) 6. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)((^x1.x1)(^y1.y1))))(^z1.z1)) 7. ==[ beta ]==> (((^y.y)((^z.z)((^x1.x1)(^y1.y1))))(^z1.z1)) 8. ==[ alpha ]==> (((^x.x)((^y.y)((^z.z)(^x1.x1))))(^y1.y1)) 9. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.y1)) 10. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.x1)) 11. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 12. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 13. ==[ beta ]==> ((^y.y)(^z.z)) 14. ==[ alpha ]==> ((^x.x)(^y.y)) 15. ==[ beta ]==> (^y.y) 16. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 44273/3025638. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 44274/3026007. ------ 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 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(x1 x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 44275/3026232. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 44276/3026313. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^b.((^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)(^x.a)) REDUCED to normal form. ------ 44277/3026391. ------ 1. ==[ start ]==> ((^a.(b a))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.y)(^z.a))) 3. ==[ eta ]==> (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. ------ 44278/3026394. ------ 1. ==[ start ]==> ((a (b a))(^b.(^b.a))) 2. ==[ alpha ]==> ((a (b a))(^x.(^y.a))) REDUCED to normal form. ------ 44279/3026628. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^b.b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 44280/3026673. ------ 1. ==[ start ]==> (((^a.a)(b a))(^a.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. ------ 44281/3026700. ------ 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)(^x1.(x1 x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(y y))) 5. ==[ beta ]==> (^y.(y y)) 6. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 44282/3026739. ------ 1. ==[ start ]==> ((a a)((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a a)((^x.a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 44283/3026766. ------ 1. ==[ start ]==> ((a (a a))((^a.(^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. ------ 44284/3026793. ------ 1. ==[ start ]==> ((a b)((^a.a)(b a))) 2. ==[ alpha ]==> ((a b)((^x.x)(b a))) 3. ==[ beta ]==> ((a b)(b a)) REDUCED to normal form. ------ 44285/3026811. ------ 1. ==[ start ]==> (((a a)(^a.a))((b a) a)) 2. ==[ alpha ]==> (((a a)(^x.x))((b a) a)) REDUCED to normal form. ------ 44286/3026838. ------ 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. ------ 44287/3026874. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 44288/3027009. ------ 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. ------ 44289/3027072. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(a (b a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(a (b a))) 3. ==[ beta ]==> ((^y.a)(a (b a))) 4. ==[ alpha ]==> ((^x.a)(a (b a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 44290/3027099. ------ 1. ==[ start ]==> (((^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))) 3. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))(a a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a a))) 5. ==[ beta ]==> (((a a)(^y.y))(a a)) 6. ==[ alpha ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 44291/3027108. ------ 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)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 44292/3027135. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(a a)) c)) 3. ==[ beta ]==> ((a a)((^y.(a a)) c)) 4. ==[ alpha ]==> ((a a)((^x.(a a)) c)) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 44293/3027153. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a b)((^z.z) a))) 3. ==[ beta ]==> (((^y.y) a)((a b)((^z.z) a))) 4. ==[ alpha ]==> (((^x.x) a)((a b)((^y.y) a))) 5. ==[ beta ]==> (a ((a b)((^y.y) a))) 6. ==[ alpha ]==> (a ((a b)((^x.x) a))) 7. ==[ beta ]==> (a ((a b) a)) REDUCED to normal form. ------ 44294/3027180. ------ 1. ==[ start ]==> (((^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 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. ------ 44295/3027234. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (a a))((a a) a))) REDUCED to normal form. ------ 44296/3027306. ------ 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. ------ 44297/3027405. ------ 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. ------ 44298/3027432. ------ 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. ------ 44299/3027459. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((^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. ------ 44300/3027486. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (a a))(^z.a))) REDUCED to normal form. ------ 44301/3027513. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a)(^y1.b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)(^y1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(^x1.b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.b))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.b))) REDUCED to normal form. ------ 44302/3027540. ------ 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. ------ 44303/3027576. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)((a a)(^y.y)))) 3. ==[ beta ]==> (((a a)(a (a a)))((a a)(^y.y))) 4. ==[ alpha ]==> (((a a)(a (a a)))((a a)(^x.x))) REDUCED to normal form. ------ 44304/3027630. ------ 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. ------ 44305/3027648. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a b) c)) 2. ==[ alpha ]==> (((^x.(x x)) b)((a b) c)) 3. ==[ beta ]==> ((b b)((a b) c)) REDUCED to normal form. ------ 44306/3027657. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.b)(^y.a))) 3. ==[ beta ]==> (((a (a a))(a a)) b) REDUCED to normal form. ------ 44307/3027828. ------ 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. ------ 44308/3027837. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 44309/3027855. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a a))) 5. ==[ beta ]==> (((^y.y)(a a))(a a)) 6. ==[ alpha ]==> (((^x.x)(a a))(a a)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 44310/3027864. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(a a)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 44311/3027891. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.b) c)) 3. ==[ beta ]==> ((a (^y.a))((^z.b) c)) 4. ==[ alpha ]==> ((a (^x.a))((^y.b) c)) 5. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 44312/3027909. ------ 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.z) a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a) a)((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(((a a) a) a)) REDUCED to normal form. ------ 44313/3028035. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b (^z.(a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))(b (^z.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(b (^y.(a a)))) 5. ==[ beta ]==> ((a a)(b (^y.(a a)))) 6. ==[ alpha ]==> ((a a)(b (^x.(a a)))) REDUCED to normal form. ------ 44314/3028089. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(a a))(a a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(a a))(a a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a))(a a))) 5. ==[ beta ]==> ((a a)((^y.(a a))(a a))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(a a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 44315/3028116. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.b)(a (^y.y)))) 3. ==[ beta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 44316/3028242. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (^z.z))(^x1.b))) 3. ==[ beta ]==> (((^y.y) b)((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> (((^x.x) b)((a (^y.y))(^z.b))) 5. ==[ beta ]==> (b ((a (^y.y))(^z.b))) 6. ==[ alpha ]==> (b ((a (^x.x))(^y.b))) REDUCED to normal form. ------ 44317/3028269. ------ 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. ------ 44318/3028323. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a b) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a b) b)) REDUCED to normal form. ------ 44319/3028449. ------ 1. ==[ start ]==> ((a (^a.b))(c ((a a) a))) 2. ==[ alpha ]==> ((a (^x.b))(c ((a a) a))) REDUCED to normal form. ------ 44320/3028467. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 44321/3028494. ------ 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))(^z.z))((^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. ------ 44322/3028638. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 44323/3028782. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a)(^a.a))(^b.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. ------ 44324/3028809. ------ 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. ------ 44325/3028836. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a) a)(^b.(^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. ------ 44326/3028890. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 44327/3028917. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a b) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a b) a)) REDUCED to normal form. ------ 44328/3028944. ------ 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 REDUCED to normal form. ------ 44329/3029034. ------ 1. ==[ start ]==> (((a a)(a b))((^b.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. ------ 44330/3029088. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> ((a ((^x.x)(^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 (^x.x))(^z.b)) 8. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 44331/3029232. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 44332/3029259. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a a)((a a) a))) 3. ==[ beta ]==> ((^y.y)((a a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((a a)((a a) a))) 5. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 44333/3029403. ------ 1. ==[ start ]==> (((a b) b)((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 44334/3029457. ------ 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. ------ 44335/3029484. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((^x1.x1) b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z) b)) 5. ==[ beta ]==> (((a (^x.x))(^y.b)) b) REDUCED to normal form. ------ 44336/3029610. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(a ((a a) a))) 3. ==[ beta ]==> (b (a ((a a) a))) REDUCED to normal form. ------ 44337/3029619. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 44338/3029646. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.(^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))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 44339/3029709. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(c (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(c (^y.(y y)))) REDUCED to normal form. ------ 44340/3029736. ------ 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. ------ 44341/3029790. ------ 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))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 44342/3029817. ------ 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 (^z.z)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> ((((a a) a) a)((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> ((((a a) a) a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 44343/3029835. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.b) c)(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.a))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.a))) 5. ==[ beta ]==> (b (a (^y.a))) 6. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 44344/3029844. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 44345/3029871. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 44346/3029898. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(^z.z))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 44347/3030069. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (a a))(a a))) 3. ==[ beta ]==> (b ((a (a a))(a a))) REDUCED to normal form. ------ 44348/3030078. ------ 1. ==[ start ]==> (((a b) c)((^a.(a a)) b)) 2. ==[ alpha ]==> (((a b) c)((^x.(x x)) b)) 3. ==[ beta ]==> (((a b) c)(b b)) REDUCED to normal form. ------ 44349/3030105. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.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. ------ 44350/3030150. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a a)(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(a (a a)))) REDUCED to normal form. ------ 44351/3030186. ------ 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. ------ 44352/3030213. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.b))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.b))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.b))(a (^y.(^z.z)))) REDUCED to normal form. ------ 44353/3030267. ------ 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 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(z z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 44354/3030294. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a (a a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a (a a)) a)) REDUCED to normal form. ------ 44355/3030321. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 44356/3030465. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(b (^y.a))) 3. ==[ beta ]==> ((a (a b))(b (^y.a))) 4. ==[ alpha ]==> ((a (a b))(b (^x.a))) REDUCED to normal form. ------ 44357/3030492. ------ 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. ------ 44358/3030519. ------ 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 REDUCED to normal form. ------ 44359/3030546. ------ 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 (^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. ------ 44360/3030573. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 44361/3030600. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a)(^z.z))) 5. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 44362/3030627. ------ 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)(^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 44363/3030654. ------ 1. ==[ start ]==> ((a (b a))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((a (b a))((^x.x)(^y.a))) 3. ==[ beta ]==> ((a (b a))(^y.a)) 4. ==[ alpha ]==> ((a (b a))(^x.a)) REDUCED to normal form. ------ 44364/3030744. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(c a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(c a)) 3. ==[ beta ]==> (((^y.b)(^y.b))(c a)) 4. ==[ alpha ]==> (((^x.b)(^y.b))(c a)) 5. ==[ beta ]==> (b (c a)) REDUCED to normal form. ------ 44365/3030825. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(b (a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(b (a a))) 3. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 44366/3030888. ------ 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. ------ 44367/3030933. ------ 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. ------ 44368/3030960. ------ 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)(a (a a))) 4. ==[ alpha ]==> ((^x.x)(a (a a))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 44369/3030995. ------ 1. ==[ start ]==> (^a.(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (^x.(((^y.y) x)(^z.(x x)))) 3. ==[ beta ]==> (^x.(x (^z.(x x)))) 4. ==[ alpha ]==> (^x.(x (^y.(x x)))) REDUCED to normal form. ------ 44370/3030996. ------ 1. ==[ start ]==> (a (((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (a (((^x.x) a)(^y.(a a)))) 3. ==[ beta ]==> (a (a (^y.(a a)))) 4. ==[ alpha ]==> (a (a (^x.(a a)))) REDUCED to normal form. ------ 44371/3031053. ------ 1. ==[ start ]==> ((^a.b)(^c.(^d.a))) 2. ==[ alpha ]==> ((^x.b)(^y.(^z.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 44372/3034914. ------ 1. ==[ start ]==> ((^a.(b a))(^c.c)) 2. ==[ alpha ]==> ((^x.(b x))(^y.y)) 3. ==[ eta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 44373/3035259. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a))) a) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a))) a) 3. ==[ beta ]==> ((a (^y.(a a))) a) 4. ==[ alpha ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 44374/3035265. ------ 1. ==[ start ]==> ((^a.a)(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.x)(((^y.y) 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. ------ 44375/3035274. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 44376/3035322. ------ 1. ==[ start ]==> ((a b)(^c.(^d.a))) 2. ==[ alpha ]==> ((a b)(^x.(^y.a))) REDUCED to normal form. ------ 44377/3035331. ------ 1. ==[ start ]==> (((^a.a)(a a))(^b.(b a))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.(y a))) 3. ==[ beta ]==> ((a a)(^y.(y a))) 4. ==[ alpha ]==> ((a a)(^x.(x a))) REDUCED to normal form. ------ 44378/3035517. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (^y.((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> (^x.((^y.(y y))(^z.b))) 5. ==[ beta ]==> (^x.((^z.b)(^z.b))) 6. ==[ alpha ]==> (^x.((^y.b)(^z.b))) 7. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 44379/3036084. ------ 1. ==[ start ]==> ((^a.(^b.(^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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 44380/3036357. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 44381/3036366. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((z z)(^x1.x1)))) REDUCED to normal form. ------ 44382/3036642. ------ 1. ==[ start ]==> ((^a.((a a) a))((a b)(^a.(^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. ------ 44383/3036816. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((a 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)))) 5. ==[ beta ]==> (((a a) a)(^x.(a a))) REDUCED to normal form. ------ 44384/3036975. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a)(^x1.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 44385/3037248. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(^x1.(z z)))) IRREDUCIBLE: cycle. ------ 44386/3037437. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(^y.(a y))) 3. ==[ eta ]==> (((^x.(x x))(a (a a))) a) 4. ==[ beta ]==> (((a (a a))(a (a a))) a) REDUCED to normal form. ------ 44387/3037542. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.(((^z.(z z))(^x1.(x1 x1)))((^z.(z z))(^x1.(x1 x1))))) 4. ==[ alpha ]==> (^x.(((^y.(y y))(^z.(z z)))((^x1.(x1 x1))(^y1.(y1 y1))))) 5. ==[ beta ]==> (^x.(((^z.(z z))(^z.(z z)))((^x1.(x1 x1))(^y1.(y1 y1))))) 6. ==[ alpha ]==> (^x.(((^y.(y y))(^z.(z z)))((^x1.(x1 x1))(^y1.(y1 y1))))) IRREDUCIBLE: cycle. ------ 44388/3037977. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.((a a) a))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.((a a) a))) 5. ==[ beta ]==> ((a a)(^y.((a a) a))) 6. ==[ alpha ]==> ((a a)(^x.((a a) a))) REDUCED to normal form. ------ 44389/3038139. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^b.(^c.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. ------ 44390/3038148. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.((z z) z))) REDUCED to normal form. ------ 44391/3038424. ------ 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 ]==> ((((a a)(^z.(^x1.x1)))((a a)(^z.(^x1.x1))))(^y.y)) 4. ==[ alpha ]==> ((((a a)(^x.(^y.y)))((a a)(^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 44392/3038706. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^a.(^b.(^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. ------ 44393/3039102. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^c.(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.(^z.a))) 3. ==[ beta ]==> (((a b) a)(^y.(^z.a))) 4. ==[ alpha ]==> (((a b) a)(^x.(^y.a))) REDUCED to normal form. ------ 44394/3039180. ------ 1. ==[ start ]==> ((^a.(b a))((a a) c)) 2. ==[ alpha ]==> ((^x.(b x))((a a) c)) 3. ==[ eta ]==> (b ((a a) c)) REDUCED to normal form. ------ 44395/3039183. ------ 1. ==[ start ]==> ((a (b a))(^c.c)) 2. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 44396/3039273. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(^x1.z))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(^x1.z))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.z))) 5. ==[ beta ]==> (b (^z.(^x1.z))) 6. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 44397/3039417. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^c.(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(a a))) REDUCED to normal form. ------ 44398/3039462. ------ 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))) REDUCED to normal form. ------ 44399/3039489. ------ 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)(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 44400/3039525. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^a.a)) 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. ------ 44401/3039537. ------ 1. ==[ start ]==> ((a a)(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.(a a)))) 3. ==[ beta ]==> ((a a)(a (^y.(a a)))) 4. ==[ alpha ]==> ((a a)(a (^x.(a a)))) REDUCED to normal form. ------ 44402/3039546. ------ 1. ==[ start ]==> ((a (^a.a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 44403/3039573. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(^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. ------ 44404/3039600. ------ 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. ------ 44405/3039645. ------ 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. ------ 44406/3039681. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> ((^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. ------ 44407/3039708. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^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. ------ 44408/3039762. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 44409/3039789. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(y y))(^z.b))) 3. ==[ beta ]==> ((a (^x.a))((^z.b)(^z.b))) 4. ==[ alpha ]==> ((a (^x.a))((^y.b)(^z.b))) 5. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 44410/3039825. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(c ((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)(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. ------ 44411/3039906. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 44412/3039933. ------ 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)))) 5. ==[ beta ]==> ((a a)((a a)(a (^y.y)))) 6. ==[ alpha ]==> ((a a)((a a)(a (^x.x)))) REDUCED to normal form. ------ 44413/3039960. ------ 1. ==[ start ]==> (((a a)(^b.a))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))((a b)((^y.y) a))) 3. ==[ beta ]==> (((a a)(^x.a))((a b) a)) REDUCED to normal form. ------ 44414/3039987. ------ 1. ==[ start ]==> (((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 a)))) REDUCED to normal form. ------ 44415/3040014. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 9. ==[ beta ]==> ((a (^x.x))(^z.z)) 10. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 44416/3040122. ------ 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 a)(^y.y)))) 4. ==[ alpha ]==> ((a a)((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 44417/3040167. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 44418/3040221. ------ 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 ]==> (((^y.y)(^y.y))((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)((^x1.x1) a))) 5. ==[ beta ]==> ((^y.y)((^z.b)((^x1.x1) 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. ------ 44419/3040275. ------ 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)(^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. ------ 44420/3040329. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.(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. ------ 44421/3040356. ------ 1. ==[ start ]==> ((a (^b.(^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)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 44422/3040401. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((a a)(^z.z)) a)) 3. ==[ beta ]==> (((a (^x.x)) a)(((a a)(^z.z)) a)) 4. ==[ alpha ]==> (((a (^x.x)) a)(((a a)(^y.y)) a)) REDUCED to normal form. ------ 44423/3040428. ------ 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. ------ 44424/3040455. ------ 1. ==[ start ]==> (((a (a a))(a a))((a b) c)) REDUCED to normal form. ------ 44425/3040491. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 44426/3040518. ------ 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.(^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. ------ 44427/3040572. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)(^y1.b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)(^y1.b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.b))) 5. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.b))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.b))) 7. ==[ beta ]==> ((^y.a)(^z.b)) 8. ==[ alpha ]==> ((^x.a)(^y.b)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 44428/3040581. ------ 1. ==[ start ]==> (((a (a a)) b)(c (a b))) REDUCED to normal form. ------ 44429/3040608. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(b ((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.y) a)(b ((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)(b ((^y.y)(a a)))) 5. ==[ beta ]==> (a (b ((^y.y)(a a)))) 6. ==[ alpha ]==> (a (b ((^x.x)(a a)))) 7. ==[ beta ]==> (a (b (a a))) REDUCED to normal form. ------ 44430/3040635. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 44431/3040662. ------ 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 a))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a a)(a a))) REDUCED to normal form. ------ 44432/3040689. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a b)(a (^z.z)))) 3. ==[ beta ]==> ((a (^y.a))((a b)(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.a))((a b)(a (^y.y)))) REDUCED to normal form. ------ 44433/3040716. ------ 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. ------ 44434/3040743. ------ 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. ------ 44435/3040887. ------ 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. ------ 44436/3040914. ------ 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. ------ 44437/3040950. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 44438/3041004. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(z z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (a ((^z.(z z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (a ((^x.(x x))((^y.y)(^z.z)))) 7. ==[ beta ]==> (a (((^y.y)(^z.z))((^y.y)(^z.z)))) 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. ------ 44439/3041085. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^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. ------ 44440/3041112. ------ 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 a))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.z))) 5. ==[ beta ]==> ((^y.(a a))(^z.z)) 6. ==[ alpha ]==> ((^x.(a a))(^y.y)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 44441/3041247. ------ 1. ==[ start ]==> ((a (^a.b))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 44442/3041319. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(a a)) a)) 3. ==[ beta ]==> ((a (a (a a)))((^y.(a a)) a)) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(a a)) a)) 5. ==[ beta ]==> ((a (a (a a)))(a a)) REDUCED to normal form. ------ 44443/3041346. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.b) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.b) b)) 3. ==[ beta ]==> (((a (a a)) a)((^y.b) b)) 4. ==[ alpha ]==> (((a (a a)) a)((^x.b) b)) 5. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 44444/3041418. ------ 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. ------ 44445/3041517. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a (^z.(a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(a (^z.(a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a (^z.(a a)))) IRREDUCIBLE: cycle. ------ 44446/3041598. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.(^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. ------ 44447/3041625. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> ((a b)((^y.(y y))(a (a a)))) 4. ==[ alpha ]==> ((a b)((^x.(x x))(a (a a)))) 5. ==[ beta ]==> ((a b)((a (a a))(a (a a)))) REDUCED to normal form. ------ 44448/3041652. ------ 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)(^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. ------ 44449/3041706. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.y)(a b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)(a b))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)(a b))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(a b)) REDUCED to normal form. ------ 44450/3041787. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.(^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. ------ 44451/3041814. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.(a a)))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 44452/3041913. ------ 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. ------ 44453/3041967. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 44454/3041985. ------ 1. ==[ start ]==> (((^a.b) b)((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 44455/3042030. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(c (^b.(^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. ------ 44456/3042057. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(b (^x1.a))) 3. ==[ beta ]==> ((^y.y)(b (^x1.a))) 4. ==[ alpha ]==> ((^x.x)(b (^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 44457/3042111. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^c.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(a a))) 5. ==[ beta ]==> ((^y.y)((^y1.a)(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(a a))) 7. ==[ beta ]==> ((^y.a)(a a)) 8. ==[ alpha ]==> ((^x.a)(a a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 44458/3042192. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)(a (a a)))) 3. ==[ beta ]==> (b ((^x1.a)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.a)(a (a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 44459/3042246. ------ 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))) 7. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 44460/3042273. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 44461/3042327. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))(^z1.a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))(^z1.a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(^y1.a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.a))) 9. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.a))) 10. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.a))) 11. ==[ beta ]==> ((^y.(y y))(^z.a)) 12. ==[ alpha ]==> ((^x.(x x))(^y.a)) 13. ==[ beta ]==> ((^y.a)(^y.a)) 14. ==[ alpha ]==> ((^x.a)(^y.a)) 15. ==[ beta ]==> a REDUCED to normal form. ------ 44462/3042390. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(b (^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(b (^y.y))) REDUCED to normal form. ------ 44463/3042408. ------ 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 ((^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. ------ 44464/3042417. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a ((a a) a))) REDUCED to normal form. ------ 44465/3042444. ------ 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. ------ 44466/3042588. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(^z.z))) 7. ==[ beta ]==> ((a (a a))((^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. ------ 44467/3042615. ------ 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. ------ 44468/3042633. ------ 1. ==[ start ]==> (((^a.b) c)(d c)) 2. ==[ alpha ]==> (((^x.b) c)(d c)) 3. ==[ beta ]==> (b (d c)) REDUCED to normal form. ------ 44469/3042642. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(a (^z.a))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(a (^y.a))) REDUCED to normal form. ------ 44470/3042669. ------ 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. ------ 44471/3042696. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 44472/3042732. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.(^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. ------ 44473/3042876. ------ 1. ==[ start ]==> (((a b) c)((a (a a))(a a))) REDUCED to normal form. ------ 44474/3042903. ------ 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. ------ 44475/3042930. ------ 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) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a (^y.y)) a)) REDUCED to normal form. ------ 44476/3042948. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(b (^z.(z z)))) 3. ==[ beta ]==> (((a a)(^y.y))(b (^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (^y.(y y)))) REDUCED to normal form. ------ 44477/3042975. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 44478/3043029. ------ 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) REDUCED to normal form. ------ 44479/3043110. ------ 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))) 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. ------ 44480/3043173. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b ((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(b a)) REDUCED to normal form. ------ 44481/3043209. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(y y)) a)) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 44482/3043236. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.a) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.a) b)) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.a) b)) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a) b)) 5. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 44483/3043263. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 44484/3043317. ------ 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)(^z1.z1))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1) a)(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)(^y1.y1))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.x1))) 7. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.z))) 9. ==[ beta ]==> (((^y.y) a)(^z.z)) 10. ==[ alpha ]==> (((^x.x) a)(^y.y)) 11. ==[ beta ]==> (a (^y.y)) 12. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 44485/3043344. ------ 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. ------ 44486/3043371. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a a)(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a a)(^y.a))) 3. ==[ beta ]==> (((a b) a)((a a)(^y.a))) 4. ==[ alpha ]==> (((a b) a)((a a)(^x.a))) REDUCED to normal form. ------ 44487/3043398. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(((^z.z) a) a)) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((^z.z) a) a)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y) a) a)) 5. ==[ beta ]==> (((a a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 44488/3043425. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a (^y.y)) b)) REDUCED to normal form. ------ 44489/3043452. ------ 1. ==[ start ]==> ((a (b a))((a a) c)) REDUCED to normal form. ------ 44490/3043542. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(a (^z.a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(a (^z.a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(a (^z.a))) 5. ==[ beta ]==> (b (a (^z.a))) 6. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 44491/3043623. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(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. ------ 44492/3043686. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a a)(a a))) REDUCED to normal form. ------ 44493/3043731. ------ 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. ------ 44494/3043758. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a 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. ------ 44495/3043794. ------ 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. ------ 44496/3048066. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a))) b) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a))) b) 3. ==[ beta ]==> ((a (^y.(a a))) b) 4. ==[ alpha ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 44497/3048090. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 44498/3048156. ------ 1. ==[ start ]==> (((a a)(^a.a))(^b.(b a))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(y a))) REDUCED to normal form. ------ 44499/3048171. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((b a) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((b a) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 44500/3048405. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(b ((a a)(^z.z)))) 3. ==[ eta ]==> ((^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. ------ 44501/3048675. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a a)((a a)(^y.y)))) 3. ==[ beta ]==> (((a a)((a a)(^y.y)))(((a a)((a a)(^y.y)))((a a)((a a)(^y.y))))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((a a)((a a)(^y.y)))((a a)((a a)(^z.z))))) REDUCED to normal form. ------ 44502/3048900. ------ 1. ==[ start ]==> ((^a.(^b.(^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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 44503/3049182. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 44504/3049866. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> ((a (a (a a)))(^y.((^z.z)(y y)))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.((^y.y)(x x)))) 5. ==[ beta ]==> ((a (a (a a)))(^x.(x x))) REDUCED to normal form. ------ 44505/3049971. ------ 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. ------ 44506/3050262. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^b.(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(a y))) 3. ==[ eta ]==> (((a (a a))(^x.(x x))) a) REDUCED to normal form. ------ 44507/3050460. ------ 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. ------ 44508/3050565. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((((^z.z) a)(a (a a)))(((^z.z) a)(a (a a))))) 4. ==[ alpha ]==> ((^x.x)((((^y.y) a)(a (a a)))(((^z.z) a)(a (a a))))) 5. ==[ beta ]==> ((((^y.y) a)(a (a a)))(((^z.z) a)(a (a a)))) 6. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y) a)(a (a a)))) 7. ==[ beta ]==> ((a (a (a a)))(((^y.y) a)(a (a a)))) 8. ==[ alpha ]==> ((a (a (a a)))(((^x.x) a)(a (a a)))) 9. ==[ beta ]==> ((a (a (a a)))(a (a (a a)))) REDUCED to normal form. ------ 44509/3050802. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.((a a) a))) REDUCED to normal form. ------ 44510/3050964. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 44511/3051531. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 44512/3051639. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(a (a a)))) REDUCED to normal form. ------ 44513/3051756. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(y (y y)))) REDUCED to normal form. ------ 44514/3051996. ------ 1. ==[ start ]==> ((^a.(b a))(b (a (^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(b (a (^y.y)))) 3. ==[ eta ]==> (b (b (a (^y.y)))) 4. ==[ alpha ]==> (b (b (a (^x.x)))) REDUCED to normal form. ------ 44515/3052089. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^b.c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.c)) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.c)) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.c)) 5. ==[ beta ]==> (b (^z.c)) 6. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 44516/3052278. ------ 1. ==[ start ]==> (((^a.a)(b a))(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.(^z.z))) 3. ==[ beta ]==> ((b a)(^y.(^z.z))) 4. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 44517/3052341. ------ 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))) REDUCED to normal form. ------ 44518/3052371. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> ((a (^x.x))(a (^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.(a a)))) REDUCED to normal form. ------ 44519/3052380. ------ 1. ==[ start ]==> (((^a.a) a)((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (a ((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> (a ((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 44520/3052407. ------ 1. ==[ start ]==> (((a a) a)((^a.(^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. ------ 44521/3052434. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.a)(b a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(b a))) 3. ==[ beta ]==> (((a a)(^x.x))(b a)) REDUCED to normal form. ------ 44522/3052452. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((b a) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((b a) a)) REDUCED to normal form. ------ 44523/3052515. ------ 1. ==[ start ]==> (((a a) b)((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a) b)((^x.(a a))(^y.a))) 3. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 44524/3052542. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 44525/3052596. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 44526/3052650. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 44527/3052686. ------ 1. ==[ start ]==> ((a ((^a.a) a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^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. ------ 44528/3052776. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(a a)) c)) 3. ==[ beta ]==> (((^y.y) a)((^z.(a a)) c)) 4. ==[ alpha ]==> (((^x.x) a)((^y.(a a)) c)) 5. ==[ beta ]==> (a ((^y.(a a)) c)) 6. ==[ alpha ]==> (a ((^x.(a a)) c)) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 44529/3052875. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a (a a))((a a) a))) 3. ==[ beta ]==> (((a a) a)((a (a a))((a a) a))) REDUCED to normal form. ------ 44530/3052902. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a)(a b))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (a b))) REDUCED to normal form. ------ 44531/3052929. ------ 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. ------ 44532/3052947. ------ 1. ==[ start ]==> (((^a.(a a)) a)(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(b (^y.(^z.z)))) 3. ==[ beta ]==> ((a a)(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 44533/3052956. ------ 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. ------ 44534/3052992. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 44535/3053028. ------ 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 a)) REDUCED to normal form. ------ 44536/3053046. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a b)(^b.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. ------ 44537/3053055. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.b)((^y.y) a))) 3. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 44538/3053073. ------ 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. ------ 44539/3053100. ------ 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.(^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. ------ 44540/3053109. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 44541/3053136. ------ 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. ------ 44542/3053154. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(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. ------ 44543/3053163. ------ 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. ------ 44544/3053181. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.(a a)))) REDUCED to normal form. ------ 44545/3053271. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b b)((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b b)((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((b b)(a a)) REDUCED to normal form. ------ 44546/3053406. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.a)(^y.b))) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 44547/3053433. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(^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. ------ 44548/3053460. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.a)(^c.(^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. ------ 44549/3053532. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.b) c)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.b) c)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.b) c)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.b) c)) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 44550/3053604. ------ 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)(^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. ------ 44551/3053631. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(a ((a a) a))) REDUCED to normal form. ------ 44552/3053658. ------ 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))) REDUCED to normal form. ------ 44553/3053685. ------ 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. ------ 44554/3053775. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((a a) a)(^b.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. ------ 44555/3053829. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (a a))(^b.(^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. ------ 44556/3053865. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.a)((a a) a))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)((a a) a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)((a a) a))) 5. ==[ beta ]==> (b ((^y.a)((a a) a))) 6. ==[ alpha ]==> (b ((^x.a)((a a) a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 44557/3053892. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(^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. ------ 44558/3053910. ------ 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. ------ 44559/3053937. ------ 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)(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. ------ 44560/3053946. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 44561/3053973. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.b)(^a.(^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. ------ 44562/3054000. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 44563/3054027. ------ 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.(^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. ------ 44564/3054054. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((^z.(^x1.x1))(^z.(^x1.x1)))) 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. ------ 44565/3054117. ------ 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. ------ 44566/3054144. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(a ((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a (a a)))(a ((^y.y)(a a)))) 4. ==[ alpha ]==> ((a (a (a a)))(a ((^x.x)(a a)))) 5. ==[ beta ]==> ((a (a (a a)))(a (a a))) REDUCED to normal form. ------ 44567/3054171. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((a b)(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((a b)(a a))) 3. ==[ beta ]==> (((a (a a)) a)((a b)(a a))) REDUCED to normal form. ------ 44568/3054198. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((a a) a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((a a) a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a) a)(a (^z.z)))) 5. ==[ beta ]==> ((a (^y.y))(((a a) a)(a (^z.z)))) 6. ==[ alpha ]==> ((a (^x.x))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 44569/3054225. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x)(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.y)((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)((^y.y) a))) 5. ==[ beta ]==> ((((a a) a)(a a))((^y.y) a)) 6. ==[ alpha ]==> ((((a a) a)(a a))((^x.x) a)) 7. ==[ beta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 44570/3054252. ------ 1. ==[ start ]==> ((a (a b))((a (a a))(a (a a)))) REDUCED to normal form. ------ 44571/3054405. ------ 1. ==[ start ]==> ((((a a) a) b)((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.a)(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 44572/3054423. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a)(^a.a))(^b.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. ------ 44573/3054432. ------ 1. ==[ start ]==> (((a b) a)((^b.(^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. ------ 44574/3054450. ------ 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. ------ 44575/3054459. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.b))((a (a a))(a (a a)))) REDUCED to normal form. ------ 44576/3054477. ------ 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.(^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. ------ 44577/3054513. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 44578/3054531. ------ 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 a)(^y.b))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a a)(^x.b))) REDUCED to normal form. ------ 44579/3054540. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y)(a b))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a b)) REDUCED to normal form. ------ 44580/3054567. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.b)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.b)(^x1.x1))) 5. ==[ beta ]==> ((^y.a)((^z.b)(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)((^y.b)(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 44581/3054612. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> (b (((^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. ------ 44582/3054621. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 44583/3054711. ------ 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. ------ 44584/3054738. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(a (a b))) REDUCED to normal form. ------ 44585/3054765. ------ 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. ------ 44586/3054792. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a (^z.z))) 6. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 44587/3054819. ------ 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. ------ 44588/3054846. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)(a (a a)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a)(a (a a)))) 5. ==[ beta ]==> ((a (a a))(a (a (a a)))) REDUCED to normal form. ------ 44589/3054936. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a) a)(^x1.x1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)(^y1.y1))) 5. ==[ beta ]==> ((^y.y)(((a a) a)(^y1.y1))) 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. ------ 44590/3055017. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 44591/3055026. ------ 1. ==[ start ]==> (((a b) b)((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a b) b)((^x.a)(a (a a)))) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 44592/3055053. ------ 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)(^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. ------ 44593/3055080. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)((a a) a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((a a) a)) REDUCED to normal form. ------ 44594/3055098. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a 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. ------ 44595/3055107. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 44596/3055161. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 44597/3055188. ------ 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)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.a)(^z.(z z)))) 7. ==[ beta ]==> (((^y.a)(^z.(z z)))((^y.a)(^z.(z z)))) 8. ==[ alpha ]==> (((^x.a)(^y.(y y)))((^z.a)(^x1.(x1 x1)))) 9. ==[ beta ]==> (a ((^z.a)(^x1.(x1 x1)))) 10. ==[ alpha ]==> (a ((^x.a)(^y.(y y)))) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 44598/3055215. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(^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. ------ 44599/3055242. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 44600/3055305. ------ 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. ------ 44601/3055332. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a b))(a ((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x))(a b))(a ((^y.y) a))) 5. ==[ beta ]==> (((a (^x.x))(a b))(a a)) REDUCED to normal form. ------ 44602/3055359. ------ 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. ------ 44603/3055386. ------ 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)))) 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. ------ 44604/3055458. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 44605/3055557. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1)(^y1.y1)) a)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z)) a)) 5. ==[ beta ]==> (((^y.y)(^z.z)) a) 6. ==[ alpha ]==> (((^x.x)(^y.y)) a) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 44606/3055692. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 44607/3055809. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 44608/3055836. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(z z))(a a))) 3. ==[ beta ]==> ((a (^y.b))((^z.(z z))(a a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(y y))(a a))) 5. ==[ beta ]==> ((a (^x.b))((a a)(a a))) REDUCED to normal form. ------ 44609/3055854. ------ 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. ------ 44610/3055890. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((^z1.z1) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 44611/3055917. ------ 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. ------ 44612/3055935. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a (a a)) a)) 3. ==[ beta ]==> (b ((a (a a)) a)) REDUCED to normal form. ------ 44613/3055944. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 44614/3055971. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 44615/3055998. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))(^y1.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. ------ 44616/3056034. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(a (a (a a)))) REDUCED to normal form. ------ 44617/3056061. ------ 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. ------ 44618/3056088. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 44619/3056115. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((a a)((^x.x) a))) 3. ==[ beta ]==> (((a (a a))((a a) a))((a a) a)) REDUCED to normal form. ------ 44620/3056196. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(b c)) 2. ==[ alpha ]==> (((a b)((^x.x) a))(b c)) 3. ==[ beta ]==> (((a b) a)(b c)) REDUCED to normal form. ------ 44621/3056277. ------ 1. ==[ start ]==> ((a (b a))(b (a (^a.a)))) 2. ==[ alpha ]==> ((a (b a))(b (a (^x.x)))) REDUCED to normal form. ------ 44622/3056367. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.a) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.z) c)) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.z) c)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.z) c)) 5. ==[ beta ]==> (b ((^z.z) c)) 6. ==[ alpha ]==> (b ((^x.x) c)) 7. ==[ beta ]==> (b c) REDUCED to normal form. ------ 44623/3056448. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a (^z.z)) a)) 3. ==[ beta ]==> (b ((a (^z.z)) a)) 4. ==[ alpha ]==> (b ((a (^x.x)) a)) REDUCED to normal form. ------ 44624/3056511. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(b (^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(b (^y.y))) REDUCED to normal form. ------ 44625/3056556. ------ 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. ------ 44626/3056583. ------ 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)((a a) a)) 4. ==[ alpha ]==> ((^x.x)((a a) a)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 44627/3056619. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(a (^a.a))) 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. ------ 44628/3056636. ------ 1. ==[ start ]==> (^a.((^a.(a a))(a b))) 2. ==[ alpha ]==> (^x.((^y.(y y))(x b))) 3. ==[ beta ]==> (^x.((x b)(x b))) REDUCED to normal form. ------ 44629/3056637. ------ 1. ==[ start ]==> (a ((^a.(a a))(a b))) 2. ==[ alpha ]==> (a ((^x.(x x))(a b))) 3. ==[ beta ]==> (a ((a b)(a b))) REDUCED to normal form. ------ 44630/3060900. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a))) c) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a))) c) 3. ==[ beta ]==> ((a (^y.(a a))) c) 4. ==[ alpha ]==> ((a (^x.(a a))) c) REDUCED to normal form. ------ 44631/3060918. ------ 1. ==[ start ]==> (((^a.(a a))(a b)) a) 2. ==[ alpha ]==> (((^x.(x x))(a b)) a) 3. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 44632/3060924. ------ 1. ==[ start ]==> ((^a.a)((^a.(a a))(a b))) 2. ==[ alpha ]==> ((^x.x)((^y.(y y))(a b))) 3. ==[ beta ]==> ((^y.(y y))(a b)) 4. ==[ alpha ]==> ((^x.(x x))(a b)) 5. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 44633/3060951. ------ 1. ==[ start ]==> ((^a.(a a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.a)((^z.z)(a a)))((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.a)((^y.y)(a a)))((^z.a)((^x1.x1)(a a)))) 5. ==[ beta ]==> (a ((^z.a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> (a ((^x.a)((^y.y)(a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 44634/3060978. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 44635/3061287. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(b y1))) 3. ==[ eta ]==> (((^x.(^y.y))(^z.(^x1.x1))) b) 4. ==[ beta ]==> ((^y.y) b) 5. ==[ alpha ]==> ((^x.x) b) 6. ==[ beta ]==> b REDUCED to normal form. ------ 44636/3061419. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 44637/3061518. ------ 1. ==[ start ]==> ((^a.(a (a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(b (^y.(^z.z)))) 3. ==[ beta ]==> ((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))))) REDUCED to normal form. ------ 44638/3061791. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 44639/3061869. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.b)(^b.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. ------ 44640/3062043. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y)(^z.z)))) 5. ==[ beta ]==> (^y.((y y)(^z.z))) 6. ==[ alpha ]==> (^x.((x x)(^y.y))) REDUCED to normal form. ------ 44641/3062301. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(a a))(a a))) 3. ==[ beta ]==> ((((^y.(a a))(a a))((^y.(a a))(a a)))((^y.(a a))(a a))) 4. ==[ alpha ]==> ((((^x.(a a))(a a))((^y.(a a))(a a)))((^z.(a a))(a a))) 5. ==[ beta ]==> (((a a)((^y.(a a))(a a)))((^z.(a a))(a a))) 6. ==[ alpha ]==> (((a a)((^x.(a a))(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 a)) REDUCED to normal form. ------ 44642/3062709. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(^y.(^z.(a a)))) 3. ==[ beta ]==> ((a (a (a a)))(^y.(^z.(a a)))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.(a a)))) REDUCED to normal form. ------ 44643/3063303. ------ 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. ------ 44644/3063645. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^c.(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.a))) REDUCED to normal form. ------ 44645/3064083. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((((^z.(^x1.x1))(a (a a)))((^z.(^x1.x1))(a (a a))))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.y))(a (a a)))((^z.(^x1.x1))(a (a a))))(^y1.y1)) 5. ==[ beta ]==> (((^y.y)((^z.(^x1.x1))(a (a a))))(^y1.y1)) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(a (a a))))(^x1.x1)) 7. ==[ beta ]==> (((^y.(^z.z))(a (a a)))(^x1.x1)) 8. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(^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. ------ 44646/3064257. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 44647/3064599. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 44648/3064707. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.(y1 y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(y1 y1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(x1 x1)))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.(x1 x1)))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 9. ==[ beta ]==> (^y.(^z.(z z))) 10. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 44649/3064788. ------ 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)))(^y.a)) REDUCED to normal form. ------ 44650/3064839. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(^a.a))(^a.(^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. ------ 44651/3064932. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> (b (^z.(a (^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 44652/3065013. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^a.c)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.c)) 3. ==[ beta ]==> (b (^z.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 44653/3065148. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(^a.b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(^x1.b)) 3. ==[ beta ]==> ((^y.y)(^x1.b)) 4. ==[ alpha ]==> ((^x.x)(^y.b)) 5. ==[ beta ]==> (^y.b) 6. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 44654/3065184. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^b.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)) REDUCED to normal form. ------ 44655/3065202. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^a.a)) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.y)) 3. ==[ beta ]==> (((a b)(a b))(^y.y)) 4. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 44656/3065214. ------ 1. ==[ start ]==> ((a a)((^a.(a a))(a b))) 2. ==[ alpha ]==> ((a a)((^x.(x x))(a b))) 3. ==[ beta ]==> ((a a)((a b)(a b))) REDUCED to normal form. ------ 44657/3065232. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> (a (((^y.y) a)(^z.(a a)))) 4. ==[ alpha ]==> (a (((^x.x) a)(^y.(a a)))) 5. ==[ beta ]==> (a (a (^y.(a a)))) 6. ==[ alpha ]==> (a (a (^x.(a a)))) REDUCED to normal form. ------ 44658/3065241. ------ 1. ==[ start ]==> ((a (a a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a a))((^x.a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 44659/3065268. ------ 1. ==[ start ]==> ((a b)((^a.(^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. ------ 44660/3065313. ------ 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. ------ 44661/3065340. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((a a)(^z.z)) b)) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z)) b)) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) b)) 5. ==[ beta ]==> (((a a)(^y.y)) b) 6. ==[ alpha ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 44662/3065367. ------ 1. ==[ start ]==> (((a a) b)(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((a a) b)(((^x.x)(a a)) c)) 3. ==[ beta ]==> (((a a) b)((a a) c)) REDUCED to normal form. ------ 44663/3065484. ------ 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. ------ 44664/3065511. ------ 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 (^x.x))(a a)) a) REDUCED to normal form. ------ 44665/3065547. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(b ((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.a)(b ((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.a)(b ((a a)(^y.y)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 44666/3065574. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(a (b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(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. ------ 44667/3065628. ------ 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. ------ 44668/3065637. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(a a)) c)) 3. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 44669/3065655. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((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. ------ 44670/3065709. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(x x)))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(x x)))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 8. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 44671/3065808. ------ 1. ==[ start ]==> ((a (a (a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))(b (^x.(^y.y)))) REDUCED to normal form. ------ 44672/3065817. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.(y y))((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.(x x))((a a)((a a)(^y.y)))) 5. ==[ beta ]==> (((a a)((a a)(^y.y)))((a a)((a a)(^y.y)))) 6. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 44673/3065880. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> ((a b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 44674/3065907. ------ 1. ==[ start ]==> (((a (a a)) a)((a b)(^b.a))) 2. ==[ alpha ]==> (((a (a a)) a)((a b)(^x.a))) REDUCED to normal form. ------ 44675/3065934. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 44676/3065961. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.x1))) REDUCED to normal form. ------ 44677/3066015. ------ 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. ------ 44678/3066051. ------ 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.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. ------ 44679/3066078. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)((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. ------ 44680/3066123. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y)(a a)) b)) 3. ==[ beta ]==> ((b b)(((^y.y)(a a)) b)) 4. ==[ alpha ]==> ((b b)(((^x.x)(a a)) b)) 5. ==[ beta ]==> ((b b)((a a) b)) REDUCED to normal form. ------ 44681/3066132. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a a))(a a)) REDUCED to normal form. ------ 44682/3066159. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.b)(^b.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. ------ 44683/3066303. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(b ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b ((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.y)(b ((^z.z)(a a)))) 6. ==[ alpha ]==> ((^x.x)(b ((^y.y)(a a)))) 7. ==[ beta ]==> (b ((^y.y)(a a))) 8. ==[ alpha ]==> (b ((^x.x)(a a))) 9. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 44684/3066330. ------ 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)(^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. ------ 44685/3066366. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(a a)) b)) 3. ==[ beta ]==> ((a (^y.a))((^z.(a a)) b)) 4. ==[ alpha ]==> ((a (^x.a))((^y.(a a)) b)) 5. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 44686/3066384. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a b)(a (^z.z)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a b)(a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a b)(a (^z.z)))) REDUCED to normal form. ------ 44687/3066393. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.b) c)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) b) REDUCED to normal form. ------ 44688/3066537. ------ 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. ------ 44689/3066591. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(a a))(a a))) 3. ==[ beta ]==> ((a ((a a) a))(a a)) REDUCED to normal form. ------ 44690/3066717. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (b (((^y.y) a)(^z.a))) 6. ==[ alpha ]==> (b (((^x.x) a)(^y.a))) 7. ==[ beta ]==> (b (a (^y.a))) 8. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 44691/3066744. ------ 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. ------ 44692/3066798. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(a a)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a) a)) REDUCED to normal form. ------ 44693/3066825. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a b) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a b) b)) 3. ==[ beta ]==> ((a (^y.(y y)))((a b) b)) 4. ==[ alpha ]==> ((a (^x.(x x)))((a b) b)) REDUCED to normal form. ------ 44694/3066852. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((a a) a) c)) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((a a) a) c)) REDUCED to normal form. ------ 44695/3066942. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.a)(^y.a))) 3. ==[ beta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 44696/3066969. ------ 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.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. ------ 44697/3066996. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.x)(^y.(a a)))) 5. ==[ beta ]==> ((a (a (a a)))(^y.(a a))) 6. ==[ alpha ]==> ((a (a (a a)))(^x.(a a))) REDUCED to normal form. ------ 44698/3067113. ------ 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. ------ 44699/3067194. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a)(a b))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a a)(a b))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a)(a b))) IRREDUCIBLE: cycle. ------ 44700/3067257. ------ 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. ------ 44701/3067284. ------ 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. ------ 44702/3067311. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 44703/3067365. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 44704/3067392. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a a)(^y.b))) REDUCED to normal form. ------ 44705/3067419. ------ 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. ------ 44706/3067446. ------ 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. ------ 44707/3067473. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> (((a b)(^x.x))((^z.z) c)) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y) c)) 5. ==[ beta ]==> (((a b)(^x.x)) c) REDUCED to normal form. ------ 44708/3067509. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(x x))(^y.(y y)))) 3. ==[ beta ]==> (((a a)(a b))((^y.(y y))(^y.(y y)))) 4. ==[ alpha ]==> (((a a)(a b))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 44709/3067536. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.a)(^b.(^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. ------ 44710/3067590. ------ 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. ------ 44711/3067662. ------ 1. ==[ start ]==> (((^a.b) b)((^b.(^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. ------ 44712/3067707. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y) a)(a (a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 44713/3067734. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 44714/3067878. ------ 1. ==[ start ]==> (((a b) b)(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b) b)(((^x.x) a)(^y.(y y)))) 3. ==[ beta ]==> (((a b) b)(a (^y.(y y)))) 4. ==[ alpha ]==> (((a b) b)(a (^x.(x x)))) REDUCED to normal form. ------ 44715/3067905. ------ 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. ------ 44716/3067932. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a a)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)(^y.a))) REDUCED to normal form. ------ 44717/3067959. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((a a) a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((a a) a) a)) REDUCED to normal form. ------ 44718/3068013. ------ 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. ------ 44719/3068085. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(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. ------ 44720/3068238. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(b (^b.(^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. ------ 44721/3068292. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) 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. ------ 44722/3068310. ------ 1. ==[ start ]==> (((^a.b) c)((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> (b ((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 44723/3068319. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 44724/3068346. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)((^y.y) a))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 44725/3068373. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 44726/3068544. ------ 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 (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. ------ 44727/3068553. ------ 1. ==[ start ]==> (((a b) c)((^b.(^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. ------ 44728/3068580. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 44729/3068607. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.a) c)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a) c)) 3. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 44730/3068625. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.y))((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 (^y.y)) a)) REDUCED to normal form. ------ 44731/3068652. ------ 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)))) 4. ==[ alpha ]==> ((^x.x)((a a)(a (a a)))) 5. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 44732/3068688. ------ 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. ------ 44733/3068742. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 44734/3068769. ------ 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 y)))) REDUCED to normal form. ------ 44735/3068796. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (a a)) a)) 2. ==[ alpha ]==> (((a b)(^x.a))((a (a a)) a)) REDUCED to normal form. ------ 44736/3068823. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1) a) b)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1) a) b)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a) b)) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a b)) REDUCED to normal form. ------ 44737/3068886. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.(z z))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(y y))) REDUCED to normal form. ------ 44738/3068940. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 44739/3068967. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(b (^b.a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(b (^x.a))) REDUCED to normal form. ------ 44740/3068994. ------ 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.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(a (^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a (^x1.(x1 x1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a (^x1.(x1 x1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.(z z)))) 7. ==[ beta ]==> ((^y.y)(a (^z.(z z)))) 8. ==[ alpha ]==> ((^x.x)(a (^y.(y y)))) 9. ==[ beta ]==> (a (^y.(y y))) 10. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 44741/3069021. ------ 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) REDUCED to normal form. ------ 44742/3069048. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.z))(a (^x1.x1)))) 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. ------ 44743/3069075. ------ 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. ------ 44744/3069102. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.a)(^z.z))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a)) a) REDUCED to normal form. ------ 44745/3069129. ------ 1. ==[ start ]==> ((a (b a))((^a.(^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. ------ 44746/3069219. ------ 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. ------ 44747/3069300. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(a c)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(a c)) 3. ==[ beta ]==> (b (a c)) REDUCED to normal form. ------ 44748/3069363. ------ 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)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 44749/3069408. ------ 1. ==[ start ]==> (((^a.a)(b a))(b a)) 2. ==[ alpha ]==> (((^x.x)(b a))(b a)) 3. ==[ beta ]==> ((b a)(b a)) REDUCED to normal form. ------ 44750/3069435. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(a b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(a b)) 3. ==[ beta ]==> ((^y.y)(a b)) 4. ==[ alpha ]==> ((^x.x)(a b)) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 44751/3069471. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.z) a)) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.z) a)) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y) a)) 5. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 44752/3069489. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(a a)) 2. ==[ alpha ]==> (((^x.(x x))(a b))(a a)) 3. ==[ beta ]==> (((a b)(a b))(a a)) REDUCED to normal form. ------ 44753/3069497. ------ 1. ==[ start ]==> (^a.((a (a a))(^a.b))) 2. ==[ alpha ]==> (^x.((x (x x))(^y.b))) REDUCED to normal form. ------ 44754/3069498. ------ 1. ==[ start ]==> (a ((a (a a))(^a.b))) 2. ==[ alpha ]==> (a ((a (a a))(^x.b))) REDUCED to normal form. ------ 44755/3069591. ------ 1. ==[ start ]==> ((^a.(^a.(^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. ------ 44756/3073779. ------ 1. ==[ start ]==> (((^a.(a a))(a b)) b) 2. ==[ alpha ]==> (((^x.(x x))(a b)) b) 3. ==[ beta ]==> (((a b)(a b)) b) REDUCED to normal form. ------ 44757/3073788. ------ 1. ==[ start ]==> (((a (a a))(^a.b)) a) 2. ==[ alpha ]==> (((a (a a))(^x.b)) a) REDUCED to normal form. ------ 44758/3073794. ------ 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. ------ 44759/3073803. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 44760/3073821. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> ((((^y.y) a)(^z.(a a)))(((^y.y) a)(^z.(a a)))) 4. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z) a)(^x1.(a a)))) 5. ==[ beta ]==> ((a (^y.(a a)))(((^z.z) a)(^x1.(a a)))) 6. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a)(^z.(a a)))) 7. ==[ beta ]==> ((a (^x.(a a)))(a (^z.(a a)))) 8. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.(a a)))) REDUCED to normal form. ------ 44761/3073848. ------ 1. ==[ start ]==> ((^a.b)((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 44762/3073884. ------ 1. ==[ start ]==> ((^a.(^a.(^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. ------ 44763/3073887. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^b.(b a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z a))) REDUCED to normal form. ------ 44764/3073929. ------ 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)) REDUCED to normal form. ------ 44765/3074046. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 44766/3074166. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^a.(b a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(b y))) 3. ==[ eta ]==> (((a (^x.x)) b) b) REDUCED to normal form. ------ 44767/3074613. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.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. ------ 44768/3074739. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a b) c)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a b) c)) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 44769/3074913. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 44770/3074922. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.((z z)(^x1.x1)))) REDUCED to normal form. ------ 44771/3075171. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> (((((^y.y)(a a))(^z.z))(((^y.y)(a a))(^z.z)))(((^y.y)(a a))(^z.z))) 4. ==[ alpha ]==> (((((^x.x)(a a))(^y.y))(((^z.z)(a a))(^x1.x1)))(((^y1.y1)(a a))(^z1.z1))) 5. ==[ beta ]==> ((((a a)(^y.y))(((^z.z)(a a))(^x1.x1)))(((^y1.y1)(a a))(^z1.z1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(((^y.y)(a a))(^z.z)))(((^x1.x1)(a a))(^y1.y1))) 7. ==[ beta ]==> ((((a a)(^x.x))((a a)(^z.z)))(((^x1.x1)(a a))(^y1.y1))) 8. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((^z.z)(a a))(^x1.x1))) 9. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a)(^x1.x1))) 10. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 44772/3075372. ------ 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.z1)(a a)))) 3. ==[ beta ]==> ((^y.y)(^y1.((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (^y.((^z.z)(a a))) 6. ==[ alpha ]==> (^x.((^y.y)(a a))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 44773/3075504. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 44774/3076071. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.(^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. ------ 44775/3076371. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.b))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.b))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.b))) 7. ==[ beta ]==> (^y.(^z.b)) 8. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 44776/3076533. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.((a a) a))) 3. ==[ beta ]==> ((^y.y)(^z.((a a) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a) a))) 5. ==[ beta ]==> (^y.((a a) a)) 6. ==[ alpha ]==> (^x.((a a) a)) REDUCED to normal form. ------ 44777/3076704. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.((z z) z))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.((z z) z))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.((y y) y))) REDUCED to normal form. ------ 44778/3076953. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a (^z.z))(^x1.(x1 x1)))((a (^z.z))(^x1.(x1 x1))))(^y.y)) 4. ==[ alpha ]==> ((((a (^x.x))(^y.(y y)))((a (^z.z))(^x1.(x1 x1))))(^y1.y1)) REDUCED to normal form. ------ 44779/3076992. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^b.((^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 ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 44780/3077127. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 44781/3077136. ------ 1. ==[ start ]==> (((a b) c)(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b) c)(^x.(^z.z))) 4. ==[ alpha ]==> (((a b) c)(^x.(^y.y))) REDUCED to normal form. ------ 44782/3077244. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^c.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(a (a a)))) REDUCED to normal form. ------ 44783/3077370. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(a (a a)))) 3. ==[ beta ]==> (b (^z.(a (a a)))) 4. ==[ alpha ]==> (b (^x.(a (a a)))) REDUCED to normal form. ------ 44784/3077709. ------ 1. ==[ start ]==> ((^a.(b a))((a (^a.a)) b)) 2. ==[ alpha ]==> ((^x.(b x))((a (^y.y)) b)) 3. ==[ eta ]==> (b ((a (^y.y)) b)) 4. ==[ alpha ]==> (b ((a (^x.x)) b)) REDUCED to normal form. ------ 44785/3077883. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (b (^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 44786/3077946. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(y (^z.z)))) REDUCED to normal form. ------ 44787/3077991. ------ 1. ==[ start ]==> (((^a.a)(b a))(^a.(^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. ------ 44788/3078018. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^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. ------ 44789/3078054. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(z z))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(z z))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(y y))) REDUCED to normal form. ------ 44790/3078072. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(^z.z))) 3. ==[ beta ]==> (((a b)(a b))(^y.(^z.z))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 44791/3078081. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^a.a)) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 44792/3078093. ------ 1. ==[ start ]==> ((a a)((a (a a))(^a.b))) 2. ==[ alpha ]==> ((a a)((a (a a))(^x.b))) REDUCED to normal form. ------ 44793/3078102. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(a b))) 3. ==[ beta ]==> ((a (^x.x))((a b)(a b))) REDUCED to normal form. ------ 44794/3078120. ------ 1. ==[ start ]==> ((a (a a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (a a))(((^x.x) 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. ------ 44795/3078129. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^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. ------ 44796/3078147. ------ 1. ==[ start ]==> ((a b)((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a b)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 44797/3078156. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(^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. ------ 44798/3078183. ------ 1. ==[ start ]==> ((a (^a.(^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. ------ 44799/3078201. ------ 1. ==[ start ]==> (((a a)(a a))((b a) a)) REDUCED to normal form. ------ 44800/3078228. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((a (a (^x.x)))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 44801/3078264. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.(a a))(^b.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. ------ 44802/3078291. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 44803/3078345. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 44804/3078426. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^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. ------ 44805/3078462. ------ 1. ==[ start ]==> (((a (^a.a)) b)(a (b a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(a (b a))) REDUCED to normal form. ------ 44806/3078489. ------ 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))) REDUCED to normal form. ------ 44807/3078516. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(a 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. ------ 44808/3078543. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a b)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a b) a)) REDUCED to normal form. ------ 44809/3078570. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^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. ------ 44810/3078678. ------ 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)((a (^y.y))((^z.z)(a a)))) 4. ==[ alpha ]==> ((a a)((a (^x.x))((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)((a (^x.x))(a a))) REDUCED to normal form. ------ 44811/3078696. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))(b (^y.(^z.z)))) 5. ==[ beta ]==> ((b (^y.(^z.z)))(b (^y.(^z.z)))) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 44812/3078777. ------ 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 ]==> (((^y.y)(^y.y))((^z.(a a))(a (^x1.x1)))) 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 a) REDUCED to normal form. ------ 44813/3078804. ------ 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. ------ 44814/3078885. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(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. ------ 44815/3078912. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(a b))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 44816/3078930. ------ 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)))) REDUCED to normal form. ------ 44817/3078984. ------ 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. ------ 44818/3079011. ------ 1. ==[ start ]==> (((a (a a))(a a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a (a a))(a a))(((^x.x)(a a)) b)) 3. ==[ beta ]==> (((a (a a))(a a))((a a) b)) REDUCED to normal form. ------ 44819/3079038. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a b) c)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a b) c)) 3. ==[ beta ]==> ((a (^y.y))((a b) c)) 4. ==[ alpha ]==> ((a (^x.x))((a b) c)) REDUCED to normal form. ------ 44820/3079047. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.b)(^b.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. ------ 44821/3079182. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(^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. ------ 44822/3079191. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(b (a a))) REDUCED to normal form. ------ 44823/3079218. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 44824/3079245. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y)(a a))(a a))) 5. ==[ beta ]==> ((a (^x.a))((a a)(a a))) REDUCED to normal form. ------ 44825/3079272. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a b)(a (^z.z)))) REDUCED to normal form. ------ 44826/3079299. ------ 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. ------ 44827/3079470. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(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. ------ 44828/3079506. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.b)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a (^z.z)))) 5. ==[ beta ]==> ((^y.b)(a (^z.z))) 6. ==[ alpha ]==> ((^x.b)(a (^y.y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 44829/3079560. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(a (a a)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 44830/3079641. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(^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. ------ 44831/3079668. ------ 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)((^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. ------ 44832/3079722. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.b)(^a.(^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. ------ 44833/3079803. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b))((^z.(^x1.x1))(^z.(^x1.x1)))) 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. ------ 44834/3079902. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(a a)) a)) 3. ==[ beta ]==> (((a (a a)) a)((^y.(a a)) a)) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(a a)) a)) 5. ==[ beta ]==> (((a (a a)) a)(a a)) REDUCED to normal form. ------ 44835/3079929. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.b) b)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.b) b)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.b) b)) 5. ==[ beta ]==> ((a (^y.y))((^z.b) b)) 6. ==[ alpha ]==> ((a (^x.x))((^y.b) b)) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 44836/3079974. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 44837/3080073. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(b (^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b (^z.b))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(b (^z.b))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b (^z.b))) IRREDUCIBLE: cycle. ------ 44838/3080154. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (b ((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 44839/3080181. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.(^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. ------ 44840/3080208. ------ 1. ==[ start ]==> (((^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 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. ------ 44841/3080262. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a (a a))(a (a 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. ------ 44842/3080343. ------ 1. ==[ start ]==> (((^a.b)(a a))((^c.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)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 44843/3080370. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.(^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. ------ 44844/3080496. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.b) a)) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.b) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.b) a)) 5. ==[ beta ]==> (((^y.y) a)((^z.b) a)) 6. ==[ alpha ]==> (((^x.x) a)((^y.b) a)) 7. ==[ beta ]==> (a ((^y.b) a)) 8. ==[ alpha ]==> (a ((^x.b) a)) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 44845/3080541. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (b ((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> (b ((^x.x)(a (^y.y)))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 44846/3080550. ------ 1. ==[ start ]==> (((a b)(a a))((^b.(^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. ------ 44847/3080613. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(c (^b.(^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. ------ 44848/3080667. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a (^x1.b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a (^x1.b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (^y1.b))) 5. ==[ beta ]==> ((^y.y)(a (^y1.b))) 6. ==[ alpha ]==> ((^x.x)(a (^y.b))) 7. ==[ beta ]==> (a (^y.b)) 8. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 44849/3080748. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 44850/3080802. ------ 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)(^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. ------ 44851/3080829. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 44852/3080883. ------ 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))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.z1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 44853/3080946. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(c (a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(c (a (a a)))) REDUCED to normal form. ------ 44854/3080964. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(^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. ------ 44855/3080973. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 44856/3081000. ------ 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))) REDUCED to normal form. ------ 44857/3081036. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.(^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)) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 44858/3081063. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(a a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(y y)) c)) 3. ==[ beta ]==> (((a (^x.x))(a b))(c c)) REDUCED to normal form. ------ 44859/3081171. ------ 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))(^x1.x1))) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(^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. ------ 44860/3081198. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 44861/3081225. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) 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. ------ 44862/3081252. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 44863/3081288. ------ 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.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)((^y1.y1)(^z1.z1)))) 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. ------ 44864/3081423. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 44865/3081432. ------ 1. ==[ start ]==> (((a b) c)(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(a ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a b) c)(a (^y.y))) 4. ==[ alpha ]==> (((a b) c)(a (^x.x))) REDUCED to normal form. ------ 44866/3081459. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a (a a))(a a))) 3. ==[ beta ]==> (((a a) b)((a (a a))(a a))) REDUCED to normal form. ------ 44867/3081486. ------ 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. ------ 44868/3081531. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(b (^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(b (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(y y)))) 5. ==[ beta ]==> (b (^y.(y y))) 6. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 44869/3081540. ------ 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. ------ 44870/3081585. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(y y))(a a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(y y))(a a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(x x))(a a))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((a a)(a a))) REDUCED to normal form. ------ 44871/3081621. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(c c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(c c)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(c c)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c c)) 5. ==[ beta ]==> ((^y.(^z.z))(c c)) 6. ==[ alpha ]==> ((^x.(^y.y))(c c)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 44872/3081666. ------ 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. ------ 44873/3081792. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(z z)) a)) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(z z)) a)) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(y y)) a)) 5. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 44874/3081819. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 44875/3081900. ------ 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))) 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. ------ 44876/3081927. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b) a)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 44877/3081954. ------ 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))) REDUCED to normal form. ------ 44878/3081981. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((^y.y) a) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(a a)) REDUCED to normal form. ------ 44879/3082008. ------ 1. ==[ start ]==> ((a (b a))((a (^a.a)) b)) 2. ==[ alpha ]==> ((a (b a))((a (^x.x)) b)) REDUCED to normal form. ------ 44880/3082098. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> (b (b (^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 44881/3082179. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (b ((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 44882/3082242. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(a (a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(a (a (^y.y)))) REDUCED to normal form. ------ 44883/3082287. ------ 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. ------ 44884/3082314. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a 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. ------ 44885/3082350. ------ 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))) REDUCED to normal form. ------ 44886/3082368. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(a (^y.y))) 3. ==[ beta ]==> (((a b)(a b))(a (^y.y))) 4. ==[ alpha ]==> (((a b)(a b))(a (^x.x))) REDUCED to normal form. ------ 44887/3082377. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(a a)) 2. ==[ alpha ]==> (((a (a a))(^x.b))(a a)) REDUCED to normal form. ------ 44888/3086667. ------ 1. ==[ start ]==> (((^a.(a a))(a b)) c) 2. ==[ alpha ]==> (((^x.(x x))(a b)) c) 3. ==[ beta ]==> (((a b)(a b)) c) REDUCED to normal form. ------ 44889/3086676. ------ 1. ==[ start ]==> (((a (a a))(^a.b)) b) 2. ==[ alpha ]==> (((a (a a))(^x.b)) b) REDUCED to normal form. ------ 44890/3086700. ------ 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. ------ 44891/3086793. ------ 1. ==[ start ]==> (((^a.a) b)(^b.(b 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. ------ 44892/3087285. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^y.y))((^z.z)(a a)))(((a (^y.y))((^z.z)(a a)))((a (^y.y))((^z.z)(a a))))) 4. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((a (^z.z))((^x1.x1)(a a)))((a (^y1.y1))((^z1.z1)(a a))))) 5. ==[ beta ]==> (((a (^x.x))(a a))(((a (^z.z))((^x1.x1)(a a)))((a (^y1.y1))((^z1.z1)(a a))))) 6. ==[ alpha ]==> (((a (^x.x))(a a))(((a (^y.y))((^z.z)(a a)))((a (^x1.x1))((^y1.y1)(a a))))) 7. ==[ beta ]==> (((a (^x.x))(a a))(((a (^y.y))(a a))((a (^x1.x1))((^y1.y1)(a a))))) 8. ==[ alpha ]==> (((a (^x.x))(a a))(((a (^y.y))(a a))((a (^z.z))((^x1.x1)(a a))))) 9. ==[ beta ]==> (((a (^x.x))(a a))(((a (^y.y))(a a))((a (^z.z))(a a)))) REDUCED to normal form. ------ 44893/3087510. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)(^y1.b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 44894/3087819. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 44895/3088278. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(a a))) REDUCED to normal form. ------ 44896/3088503. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (((a (a a)) a)(^y.((^z.z)(y y)))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.((^y.y)(x x)))) 5. ==[ beta ]==> (((a (a a)) a)(^x.(x x))) REDUCED to normal form. ------ 44897/3088581. ------ 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 ]==> ((((^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. ------ 44898/3088899. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(a x1))) 3. ==[ eta ]==> ((((^x.x)(^y.y))(^z.a)) a) 4. ==[ beta ]==> (((^y.y)(^z.a)) a) 5. ==[ alpha ]==> (((^x.x)(^y.a)) a) 6. ==[ beta ]==> ((^y.a) a) 7. ==[ alpha ]==> ((^x.a) a) 8. ==[ beta ]==> a REDUCED to normal form. ------ 44899/3088968. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> (^y.((((^z.z)(^x1.x1)) c)(((^z.z)(^x1.x1)) c))) 4. ==[ alpha ]==> (^x.((((^y.y)(^z.z)) c)(((^x1.x1)(^y1.y1)) c))) 5. ==[ beta ]==> (^x.(((^z.z) c)(((^x1.x1)(^y1.y1)) c))) 6. ==[ alpha ]==> (^x.(((^y.y) c)(((^z.z)(^x1.x1)) c))) 7. ==[ beta ]==> (^x.(c (((^z.z)(^x1.x1)) c))) 8. ==[ alpha ]==> (^x.(c (((^y.y)(^z.z)) c))) 9. ==[ beta ]==> (^x.(c ((^z.z) c))) 10. ==[ alpha ]==> (^x.(c ((^y.y) c))) 11. ==[ beta ]==> (^x.(c c)) REDUCED to normal form. ------ 44900/3089097. ------ 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))) REDUCED to normal form. ------ 44901/3089175. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (a a))((^z.z) a))) 3. ==[ beta ]==> ((^y.y)(((a (a a))((^z.z) a))((a (a a))((^z.z) a)))) 4. ==[ alpha ]==> ((^x.x)(((a (a a))((^y.y) a))((a (a a))((^z.z) a)))) 5. ==[ beta ]==> (((a (a a))((^y.y) a))((a (a a))((^z.z) a))) 6. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 44902/3089430. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^c.(^c.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. ------ 44903/3089439. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^b.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.((a a) a))) REDUCED to normal form. ------ 44904/3089601. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 44905/3089889. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^c.(^b.(^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. ------ 44906/3090033. ------ 1. ==[ start ]==> (((a b) c)(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 44907/3090168. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^a.(^b.(^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. ------ 44908/3090267. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 44909/3090276. ------ 1. ==[ start ]==> (((a b)(^b.a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(a (a a)))) REDUCED to normal form. ------ 44910/3090393. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.(z (z z)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.(z (z z)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(y (y y)))) REDUCED to normal form. ------ 44911/3090606. ------ 1. ==[ start ]==> ((^a.(b a))(c (a a))) 2. ==[ alpha ]==> ((^x.(b x))(c (a a))) 3. ==[ eta ]==> (b (c (a a))) REDUCED to normal form. ------ 44912/3090780. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^c.(^a.(^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. ------ 44913/3090843. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 44914/3090888. ------ 1. ==[ start ]==> (((^a.a)(b a))(^b.b)) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.y)) 3. ==[ beta ]==> ((b a)(^y.y)) 4. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 44915/3090951. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^b.(^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))) REDUCED to normal form. ------ 44916/3090969. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^b.a)) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.a)) 3. ==[ beta ]==> (((a b)(a b))(^y.a)) 4. ==[ alpha ]==> (((a b)(a b))(^x.a)) REDUCED to normal form. ------ 44917/3090978. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 44918/3091008. ------ 1. ==[ start ]==> ((a (^a.a))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.b))) REDUCED to normal form. ------ 44919/3091017. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(a b))) 3. ==[ beta ]==> (a ((^y.(y y))(a b))) 4. ==[ alpha ]==> (a ((^x.(x x))(a b))) 5. ==[ beta ]==> (a ((a b)(a b))) REDUCED to normal form. ------ 44920/3091035. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^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. ------ 44921/3091044. ------ 1. ==[ start ]==> (((a a) a)((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a) a)((^x.a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 44922/3091071. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(^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. ------ 44923/3091098. ------ 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))) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 44924/3091143. ------ 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. ------ 44925/3091152. ------ 1. ==[ start ]==> (((a a) b)((^c.(^a.a))(^a.(^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. ------ 44926/3091179. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 44927/3091206. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 44928/3091287. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(z z))(^x1.b))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 44929/3091440. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^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. ------ 44930/3091512. ------ 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) 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. ------ 44931/3091539. ------ 1. ==[ start ]==> (((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) a))) REDUCED to normal form. ------ 44932/3091566. ------ 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. ------ 44933/3091593. ------ 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. ------ 44934/3091665. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a) 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. ------ 44935/3091683. ------ 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 ]==> (((^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. ------ 44936/3091692. ------ 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 a)) REDUCED to normal form. ------ 44937/3091710. ------ 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. ------ 44938/3091719. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.b)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 44939/3091737. ------ 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 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. ------ 44940/3091746. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 44941/3091773. ------ 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)(^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. ------ 44942/3091800. ------ 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. ------ 44943/3091818. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.b))) REDUCED to normal form. ------ 44944/3091908. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 44945/3091953. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a b) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b) c)) 3. ==[ beta ]==> ((^y.(^z.z))((a b) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((a b) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 44946/3092043. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(x x))(^y.a))) 3. ==[ beta ]==> (((a (a a)) b)((^y.a)(^y.a))) 4. ==[ alpha ]==> (((a (a a)) b)((^x.a)(^y.a))) 5. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 44947/3092070. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.a)(^x1.b))) 3. ==[ beta ]==> (((^y.y) a)((^z.a)(^x1.b))) 4. ==[ alpha ]==> (((^x.x) a)((^y.a)(^z.b))) 5. ==[ beta ]==> (a ((^y.a)(^z.b))) 6. ==[ alpha ]==> (a ((^x.a)(^y.b))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 44948/3092097. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(^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. ------ 44949/3092169. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(a a)) b)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(a a)) b)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(a a)) b)) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 44950/3092241. ------ 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)(^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. ------ 44951/3092268. ------ 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. ------ 44952/3092295. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)((a a) a))) 5. ==[ beta ]==> ((a a)(((^y.y) a)((a a) a))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)((a a) a))) 7. ==[ beta ]==> ((a a)(a ((a a) a))) REDUCED to normal form. ------ 44953/3092322. ------ 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. ------ 44954/3092349. ------ 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. ------ 44955/3092412. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a b)(^a.(^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. ------ 44956/3092466. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (a (((^z.z)(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))(^z.(z z)))) 7. ==[ beta ]==> (a ((^y.y)(^z.(z z)))) 8. ==[ alpha ]==> (a ((^x.x)(^y.(y y)))) 9. ==[ beta ]==> (a (^y.(y y))) 10. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 44957/3092502. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.(y y))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.(x x))((^y.y)(^z.z)))) 7. ==[ beta ]==> (b (((^y.y)(^z.z))((^y.y)(^z.z)))) 8. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z)(^x1.x1)))) 9. ==[ beta ]==> (b ((^y.y)((^z.z)(^x1.x1)))) 10. ==[ alpha ]==> (b ((^x.x)((^y.y)(^z.z)))) 11. ==[ beta ]==> (b ((^y.y)(^z.z))) 12. ==[ alpha ]==> (b ((^x.x)(^y.y))) 13. ==[ beta ]==> (b (^y.y)) 14. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 44958/3092529. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.a)((a a) a))) 3. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 44959/3092547. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a (^y.y))(^z.b))) 3. ==[ beta ]==> (((a a) a)((a (^y.y))(^z.b))) 4. ==[ alpha ]==> (((a a) a)((a (^x.x))(^y.b))) REDUCED to normal form. ------ 44960/3092574. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(a a)))) 5. ==[ beta ]==> ((a a)(^y.(a a))) 6. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 44961/3092583. ------ 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.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(a a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 44962/3092610. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(a a))(^z.z))) 5. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 44963/3092628. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a b) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a b) b)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a b) b)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a b) b)) 5. ==[ beta ]==> ((a ((^y.y) a))((a b) b)) 6. ==[ alpha ]==> ((a ((^x.x) a))((a b) b)) 7. ==[ beta ]==> ((a a)((a b) b)) REDUCED to normal form. ------ 44964/3092637. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.b)(^a.(^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. ------ 44965/3092691. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 44966/3092781. ------ 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. ------ 44967/3092808. ------ 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)))) 3. ==[ beta ]==> (((a (a a)) a)(a ((^y.y)(a a)))) 4. ==[ alpha ]==> (((a (a a)) a)(a ((^x.x)(a a)))) 5. ==[ beta ]==> (((a (a a)) a)(a (a a))) REDUCED to normal form. ------ 44968/3092835. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a b)(a a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a b)(a a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a b)(a a))) 5. ==[ beta ]==> ((a (^y.y))((a b)(a a))) 6. ==[ alpha ]==> ((a (^x.x))((a b)(a a))) REDUCED to normal form. ------ 44969/3092862. ------ 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. ------ 44970/3092889. ------ 1. ==[ start ]==> ((a (a b))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (a b))(((^x.x)(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a (a b))((^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. ------ 44971/3093042. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.b)(a a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.b)(a a))) 3. ==[ beta ]==> ((((a a) a) b) b) REDUCED to normal form. ------ 44972/3093060. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 44973/3093069. ------ 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. ------ 44974/3093087. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a)(^a.a))(^b.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. ------ 44975/3093096. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.(^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. ------ 44976/3093114. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> ((^y.y)((a (a 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. ------ 44977/3093150. ------ 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)(^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. ------ 44978/3093177. ------ 1. ==[ start ]==> (((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) 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. ------ 44979/3093204. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.x1)(a b))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.x1)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)(a b))) 5. ==[ beta ]==> ((^y.a)((^z.z)(a b))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(a b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 44980/3093231. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^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. ------ 44981/3093249. ------ 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) b)) REDUCED to normal form. ------ 44982/3093258. ------ 1. ==[ start ]==> (((a b)(^a.a))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 44983/3093276. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> ((a (^x.(a a)))((^z.z) c)) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y) c)) 5. ==[ beta ]==> ((a (^x.(a a))) c) REDUCED to normal form. ------ 44984/3093375. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(b ((a a) a))) REDUCED to normal form. ------ 44985/3093402. ------ 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. ------ 44986/3093429. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((a a) a)(a a))) REDUCED to normal form. ------ 44987/3093456. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a b)(a a))((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> (((a b)(a a))((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (((a b)(a a))(a (^y.y))) 6. ==[ alpha ]==> (((a b)(a a))(a (^x.x))) REDUCED to normal form. ------ 44988/3093483. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (a a))((^y.y) a))) 3. ==[ beta ]==> ((a (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. ------ 44989/3093654. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 44990/3093663. ------ 1. ==[ start ]==> (((a b) b)((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b) b)((^x.(x x))((^y.y) a))) 3. ==[ beta ]==> (((a b) b)(((^y.y) a)((^y.y) a))) 4. ==[ alpha ]==> (((a b) b)(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> (((a b) b)(a ((^y.y) a))) 6. ==[ alpha ]==> (((a b) b)(a ((^x.x) a))) 7. ==[ beta ]==> (((a b) b)(a a)) REDUCED to normal form. ------ 44991/3093690. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a a) a)((^y.a)(a (a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.a)(a (a a)))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 44992/3093708. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)((a (^y.y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 44993/3093717. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 44994/3093735. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((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. ------ 44995/3093744. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((a a) a)) REDUCED to normal form. ------ 44996/3093789. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1)) b)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1)) b)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1)) b)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1)) b)) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1)) b)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1)) b)) 9. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1)) b)) 10. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z)) b)) 11. ==[ beta ]==> (((^y.y)(^z.z)) b) 12. ==[ alpha ]==> (((^x.x)(^y.y)) b) 13. ==[ beta ]==> ((^y.y) b) 14. ==[ alpha ]==> ((^x.x) b) 15. ==[ beta ]==> b REDUCED to normal form. ------ 44997/3093798. ------ 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.(^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. ------ 44998/3093825. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> ((^y.(y y))((^z.(z z))(^x1.a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(^z.a))) 7. ==[ beta ]==> (((^y.(y y))(^z.a))((^y.(y y))(^z.a))) 8. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(z z))(^x1.a))) 9. ==[ beta ]==> (((^y.a)(^y.a))((^z.(z z))(^x1.a))) 10. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(z z))(^x1.a))) 11. ==[ beta ]==> (a ((^z.(z z))(^x1.a))) 12. ==[ alpha ]==> (a ((^x.(x x))(^y.a))) 13. ==[ beta ]==> (a ((^y.a)(^y.a))) 14. ==[ alpha ]==> (a ((^x.a)(^y.a))) 15. ==[ beta ]==> (a a) REDUCED to normal form. ------ 44999/3093852. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.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. ------ 45000/3093879. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 45001/3093942. ------ 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)(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. ------ 45002/3093969. ------ 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. ------ 45003/3093996. ------ 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.z) a))) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y) a)((^z.z) a))) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x) 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. ------ 45004/3094023. ------ 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. ------ 45005/3094050. ------ 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. ------ 45006/3094095. ------ 1. ==[ start ]==> (((^a.b) c)((^b.(^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. ------ 45007/3094194. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a a)(^b.(^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. ------ 45008/3094338. ------ 1. ==[ start ]==> (((a b) c)((^a.a)(^b.(^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. ------ 45009/3094410. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.a) c)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a) c)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a) c)) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 45010/3094446. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(b (^z.(z z)))) REDUCED to normal form. ------ 45011/3094473. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(a (^b.(^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. ------ 45012/3094491. ------ 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. ------ 45013/3094527. ------ 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. ------ 45014/3094554. ------ 1. ==[ start ]==> ((((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))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 45015/3094572. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a a)(^z.(z z)))) 3. ==[ beta ]==> (b ((a a)(^z.(z z)))) 4. ==[ alpha ]==> (b ((a a)(^x.(x x)))) REDUCED to normal form. ------ 45016/3094581. ------ 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. ------ 45017/3094608. ------ 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))) 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. ------ 45018/3094635. ------ 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)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 45019/3094671. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(b ((^y.y) a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(b a)) REDUCED to normal form. ------ 45020/3094698. ------ 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 (^x.x))(a a))(a (a (a a)))) REDUCED to normal form. ------ 45021/3094725. ------ 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. ------ 45022/3094752. ------ 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. ------ 45023/3094779. ------ 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)) 11. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 45024/3094833. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(c b)) 2. ==[ alpha ]==> (((a b)((^x.x) a))(c b)) 3. ==[ beta ]==> (((a b) a)(c b)) REDUCED to normal form. ------ 45025/3094860. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(b c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(b c)) 3. ==[ beta ]==> (((a a)(a (^y.y)))(b c)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(b c)) REDUCED to normal form. ------ 45026/3094914. ------ 1. ==[ start ]==> ((a (b a))(c (a a))) REDUCED to normal form. ------ 45027/3095004. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (b ((^z.(^x1.x1)) b)) 6. ==[ alpha ]==> (b ((^x.(^y.y)) b)) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 45028/3095085. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 45029/3095148. ------ 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)(^x.x)) b)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 45030/3095193. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.a) b)) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.y) b)) 3. ==[ beta ]==> ((b a)((^y.y) b)) 4. ==[ alpha ]==> ((b a)((^x.x) b)) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 45031/3095220. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a 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. ------ 45032/3095256. ------ 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 (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 45033/3095274. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 45034/3095283. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(a (^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(a (^y.y))) REDUCED to normal form. ------ 45035/3095300. ------ 1. ==[ start ]==> (^a.((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))((x x) x))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 45036/3095301. ------ 1. ==[ start ]==> (a ((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (a ((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 45037/3099591. ------ 1. ==[ start ]==> (((a (a a))(^a.b)) c) 2. ==[ alpha ]==> (((a (a a))(^x.b)) c) REDUCED to normal form. ------ 45038/3099615. ------ 1. ==[ start ]==> ((^a.a)((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 45039/3099642. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(a b))) 3. ==[ beta ]==> (((^y.(y y))(a b))((^y.(y y))(a b))) 4. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(y y))(a b))) 5. ==[ beta ]==> (((a b)(a b))((^y.(y y))(a b))) 6. ==[ alpha ]==> (((a b)(a b))((^x.(x x))(a b))) 7. ==[ beta ]==> (((a b)(a b))((a b)(a b))) REDUCED to normal form. ------ 45040/3099669. ------ 1. ==[ start ]==> ((^a.b)((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 45041/3099717. ------ 1. ==[ start ]==> (((^a.a) b)(^c.(^d.a))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(^z.a))) 3. ==[ beta ]==> (b (^y.(^z.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 45042/3099726. ------ 1. ==[ start ]==> (((a a)(a a))(^b.(b a))) 2. ==[ alpha ]==> (((a a)(a a))(^x.(x a))) REDUCED to normal form. ------ 45043/3099939. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.a)(^x1.(a a)))) 3. ==[ eta ]==> ((^y.y)((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((^y.a)(^z.(a a))) 6. ==[ alpha ]==> ((^x.a)(^y.(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 45044/3100110. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 45045/3100248. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 45046/3100509. ------ 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. ------ 45047/3100560. ------ 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)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 45048/3101202. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.(a a)))) REDUCED to normal form. ------ 45049/3101427. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(^y.(^z.(a a)))) 3. ==[ beta ]==> (((a (a a)) a)(^y.(^z.(a a)))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.(a a)))) REDUCED to normal form. ------ 45050/3101823. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^c.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.b))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.b))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 45051/3102021. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(^x1.(^y1.x1))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(^x1.(^y1.x1))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(^x1.z))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.z))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.y))) 7. ==[ beta ]==> (a (^y.(^z.y))) 8. ==[ alpha ]==> (a (^x.(^y.x))) REDUCED to normal form. ------ 45052/3102192. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^c.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.((a a) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.((a a) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((a a) a))) 5. ==[ beta ]==> ((^y.y)(^y1.((a a) a))) 6. ==[ alpha ]==> ((^x.x)(^y.((a a) a))) 7. ==[ beta ]==> (^y.((a a) a)) 8. ==[ alpha ]==> (^x.((a a) a)) REDUCED to normal form. ------ 45053/3102363. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^c.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.a))) REDUCED to normal form. ------ 45054/3102774. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((((^z.a)((^x1.x1) a))((^z.a)((^x1.x1) a)))(^y.y)) 4. ==[ alpha ]==> ((((^x.a)((^y.y) a))((^z.a)((^x1.x1) a)))(^y1.y1)) 5. ==[ beta ]==> ((a ((^z.a)((^x1.x1) a)))(^y1.y1)) 6. ==[ alpha ]==> ((a ((^x.a)((^y.y) a)))(^z.z)) 7. ==[ beta ]==> ((a a)(^z.z)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 45055/3103200. ------ 1. ==[ start ]==> (((a b)(^b.a))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.(z z)))) REDUCED to normal form. ------ 45056/3103317. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.(z z)))) REDUCED to normal form. ------ 45057/3103425. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.(^y.(y y)))) REDUCED to normal form. ------ 45058/3103506. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^y.a)) REDUCED to normal form. ------ 45059/3103530. ------ 1. ==[ start ]==> ((^a.(b a))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.a)(^z.z))) 3. ==[ eta ]==> (b ((^y.a)(^z.z))) 4. ==[ alpha ]==> (b ((^x.a)(^y.y))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 45060/3103767. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^c.b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.b)) REDUCED to normal form. ------ 45061/3103812. ------ 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. ------ 45062/3103875. ------ 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)) REDUCED to normal form. ------ 45063/3103893. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 45064/3103902. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^b.a)) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.a)) REDUCED to normal form. ------ 45065/3103932. ------ 1. ==[ start ]==> ((a a)((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 45066/3103950. ------ 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. ------ 45067/3103959. ------ 1. ==[ start ]==> ((a (a a))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((a (a a))((^x.(x x))(a b))) 3. ==[ beta ]==> ((a (a a))((a b)(a b))) REDUCED to normal form. ------ 45068/3103977. ------ 1. ==[ start ]==> (((a a) a)(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a) a)(((^x.x) 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. ------ 45069/3103986. ------ 1. ==[ start ]==> ((a b)((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a b)((^x.a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 45070/3104040. ------ 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. ------ 45071/3104058. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((b a) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 45072/3104085. ------ 1. ==[ start ]==> (((a a) b)(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a a) b)(((a a)(^x.x)) b)) REDUCED to normal form. ------ 45073/3104202. ------ 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. ------ 45074/3104229. ------ 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 (^x.x))(a a))((^z.b)(^z.b))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.b)(^z.b))) 5. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 45075/3104256. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.(a a)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 45076/3104265. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(c ((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.a)(c ((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.a)(c ((^y.y)(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 45077/3104292. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^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. ------ 45078/3104346. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> (((^y.y) a)(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> (((^x.x) a)(((a a)(^y.y))(a a))) 5. ==[ beta ]==> (a (((a a)(^y.y))(a a))) 6. ==[ alpha ]==> (a (((a a)(^x.x))(a a))) REDUCED to normal form. ------ 45079/3104355. ------ 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))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 45080/3104373. ------ 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)(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. ------ 45081/3104382. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(a a)) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 45082/3104427. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 45083/3104535. ------ 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.x1)(a a)))) 3. ==[ beta ]==> ((^y.(y y))((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.(x x))((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a (^y.y))((^z.z)(a a)))((a (^y.y))((^z.z)(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. ------ 45084/3104562. ------ 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 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. ------ 45085/3104598. ------ 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. ------ 45086/3104625. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a)) a)((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a)) a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 45087/3104652. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a b)(^y.a))) REDUCED to normal form. ------ 45088/3104679. ------ 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 z)))) REDUCED to normal form. ------ 45089/3104706. ------ 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.(^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. ------ 45090/3104769. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.a)(a b))) 3. ==[ beta ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 45091/3104796. ------ 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.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. ------ 45092/3104823. ------ 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. ------ 45093/3104841. ------ 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 b)(((a a)(^y.y)) a)) 4. ==[ alpha ]==> ((b b)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 45094/3104877. ------ 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 (^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. ------ 45095/3105048. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(b ((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)(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. ------ 45096/3105084. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 45097/3105102. ------ 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 a))(a a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(a a))(a a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a)(a a))) REDUCED to normal form. ------ 45098/3105111. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(a a)) b)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 45099/3105138. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.b) c)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b) c)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b) c)) 5. ==[ beta ]==> ((^y.y)((^z.b) c)) 6. ==[ alpha ]==> ((^x.x)((^y.b) c)) 7. ==[ beta ]==> ((^y.b) c) 8. ==[ alpha ]==> ((^x.b) c) 9. ==[ beta ]==> b REDUCED to normal form. ------ 45100/3105282. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(b (^z.(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))(b (^z.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))(b (^y.(a a)))) 5. ==[ beta ]==> ((a a)(b (^y.(a a)))) 6. ==[ alpha ]==> ((a a)(b (^x.(a a)))) REDUCED to normal form. ------ 45101/3105435. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((a (a a))(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 45102/3105516. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^x1.(a a)))) REDUCED to normal form. ------ 45103/3105543. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z)(a a)) a)) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z)(a a)) a)) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(a a)) a)) 5. ==[ beta ]==> ((a (^x.(x x)))((a a) a)) REDUCED to normal form. ------ 45104/3105570. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a b) b)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a b) b)) REDUCED to normal form. ------ 45105/3105660. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 6. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 45106/3105687. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 45107/3105714. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> ((a (a (a a)))(^y.y)) 6. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 45108/3105741. ------ 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)))) 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. ------ 45109/3105813. ------ 1. ==[ start ]==> (((^a.b) a)((^c.a) c)) 2. ==[ alpha ]==> (((^x.b) a)((^y.a) c)) 3. ==[ beta ]==> (b ((^y.a) c)) 4. ==[ alpha ]==> (b ((^x.a) c)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 45110/3105831. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.b)(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 45111/3105912. ------ 1. ==[ start ]==> (((^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) a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (^z.z))((a a) a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.z))((a a) a))) IRREDUCIBLE: cycle. ------ 45112/3105975. ------ 1. ==[ start ]==> ((((a a) a) b)((a b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a) b)((a b)(^x.x))) REDUCED to normal form. ------ 45113/3106002. ------ 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. ------ 45114/3106029. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a)(^a.a))(^b.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. ------ 45115/3106083. ------ 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.(^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. ------ 45116/3106137. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a a)(^x1.b))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a a)(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a a)(^z.b))) 5. ==[ beta ]==> ((^y.a)((a a)(^z.b))) 6. ==[ alpha ]==> ((^x.a)((a a)(^y.b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 45117/3106164. ------ 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. ------ 45118/3106191. ------ 1. ==[ start ]==> (((a b)(^a.a))(((a a) a) b)) 2. ==[ alpha ]==> (((a b)(^x.x))(((a a) a) b)) REDUCED to normal form. ------ 45119/3106227. ------ 1. ==[ start ]==> (((a a)(a b))((^b.(^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. ------ 45120/3106254. ------ 1. ==[ start ]==> (((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 z)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 45121/3106281. ------ 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.(^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. ------ 45122/3106335. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)(^x1.b))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.b))) 6. ==[ alpha ]==> (((^x.x) a)((^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. ------ 45123/3106380. ------ 1. ==[ start ]==> (((^a.b) b)((^c.a) b)) 2. ==[ alpha ]==> (((^x.b) b)((^y.a) b)) 3. ==[ beta ]==> (b ((^y.a) b)) 4. ==[ alpha ]==> (b ((^x.a) b)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 45124/3106425. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (a a))((^z.z) a))) 3. ==[ beta ]==> ((^y.(a a))((a (a a))((^z.z) a))) 4. ==[ alpha ]==> ((^x.(a a))((a (a a))((^y.y) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 45125/3106452. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1) a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (a a)))) 5. ==[ beta ]==> (((^y.y) a)(a (a a))) 6. ==[ alpha ]==> (((^x.x) a)(a (a a))) 7. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 45126/3106506. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a)((a a) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a)((a a) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)((a a) a))) 5. ==[ beta ]==> ((^y.y)((a a)((a a) a))) 6. ==[ alpha ]==> ((^x.x)((a a)((a a) a))) 7. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 45127/3106596. ------ 1. ==[ start ]==> (((a b) b)((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a b) b)((a (a a))(^x.a))) REDUCED to normal form. ------ 45128/3106623. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> (((a a) a)(a (^y.(y y)))) 6. ==[ alpha ]==> (((a a) a)(a (^x.(x x)))) REDUCED to normal form. ------ 45129/3106650. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 45130/3106677. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a a)(^z.a))) REDUCED to normal form. ------ 45131/3106731. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.x1) b)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z) b)) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y))) b) REDUCED to normal form. ------ 45132/3106803. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(c (a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(c (a (a a)))) 3. ==[ beta ]==> (b (c (a (a a)))) REDUCED to normal form. ------ 45133/3106983. ------ 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. ------ 45134/3107028. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b) c)(((^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. ------ 45135/3107037. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.(^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. ------ 45136/3107064. ------ 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 (^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> (((a a)(a a))((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 45137/3107091. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 45138/3107262. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 45139/3107298. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.(^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. ------ 45140/3107325. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(y y)) b)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(b b)) REDUCED to normal form. ------ 45141/3107343. ------ 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. ------ 45142/3107370. ------ 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 (^x1.x1))((^y1.y1) 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. ------ 45143/3107460. ------ 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)(^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. ------ 45144/3107487. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 45145/3107514. ------ 1. ==[ start ]==> (((a b)(^b.a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a a)(^y.(y y)))) REDUCED to normal form. ------ 45146/3107541. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (a a)) a)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (a a)) a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a)) a)) REDUCED to normal form. ------ 45147/3107568. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z) a) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a b)) REDUCED to normal form. ------ 45148/3107604. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 45149/3107631. ------ 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 (^x.x))(a a))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^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. ------ 45150/3107712. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b (^y1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b (^y1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b (^x1.a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(b (^x1.a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.a))) 7. ==[ beta ]==> ((^y.y)(b (^z.a))) 8. ==[ alpha ]==> ((^x.x)(b (^y.a))) 9. ==[ beta ]==> (b (^y.a)) 10. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 45151/3107739. ------ 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. ------ 45152/3107766. ------ 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) REDUCED to normal form. ------ 45153/3107793. ------ 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 (^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. ------ 45154/3107820. ------ 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) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((^z.z) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.y) a)) 5. ==[ beta ]==> ((((a a)(^x.x))(a a)) a) REDUCED to normal form. ------ 45155/3107847. ------ 1. ==[ start ]==> ((a (b a))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((a (b a))((^x.a)(^y.y))) 3. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 45156/3107937. ------ 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))) REDUCED to normal form. ------ 45157/3108018. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(b b)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(b b)) 3. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 45158/3108081. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a a) b)) REDUCED to normal form. ------ 45159/3108126. ------ 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. ------ 45160/3108153. ------ 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)(b a)) 4. ==[ alpha ]==> ((^x.x)(b a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 45161/3108189. ------ 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)) REDUCED to normal form. ------ 45162/3108207. ------ 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 b))(a (a a))) REDUCED to normal form. ------ 45163/3108216. ------ 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. ------ 45164/3112575. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 45165/3112593. ------ 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. ------ 45166/3112620. ------ 1. ==[ start ]==> ((^a.b)(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.b)(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 45167/3112656. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(^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. ------ 45168/3112701. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((b a) a)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((b a) a)) 3. ==[ beta ]==> (((b a) a)(^y.y)) 4. ==[ alpha ]==> (((b a) a)(^x.x)) REDUCED to normal form. ------ 45169/3112818. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (^x.((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 45170/3112965. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.(b y))) 3. ==[ eta ]==> ((((^x.x) a) a) b) 4. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 45171/3113385. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))((a a) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 45172/3113511. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^x1.x1)(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. ------ 45173/3113721. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 45174/3114276. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 45175/3114456. ------ 1. ==[ start ]==> ((^a.(a b))((^c.a) c)) 2. ==[ alpha ]==> ((^x.(x b))((^y.a) c)) 3. ==[ beta ]==> (((^y.a) c) b) 4. ==[ alpha ]==> (((^x.a) c) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 45176/3114843. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^c.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 ((^y1.a)(^z1.(^x2.x2))))) 6. ==[ alpha ]==> (^x.(a ((^y.a)(^z.(^x1.x1))))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 45177/3115050. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1)) c)((^z.(^x1.x1)) c))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z)) c)((^x1.(^y1.y1)) c))) 5. ==[ beta ]==> (((^y.(^z.z)) c)((^x1.(^y1.y1)) c)) 6. ==[ alpha ]==> (((^x.(^y.y)) c)((^z.(^x1.x1)) c)) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) c)) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) c)) 9. ==[ beta ]==> ((^y.(^z.z)) c) 10. ==[ alpha ]==> ((^x.(^y.y)) c) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 45178/3115725. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((((^z.z) a)(^x1.a))(((^z.z) a)(^x1.a)))(^y.y)) 4. ==[ alpha ]==> (((((^x.x) a)(^y.a))(((^z.z) a)(^x1.a)))(^y1.y1)) 5. ==[ beta ]==> (((a (^y.a))(((^z.z) a)(^x1.a)))(^y1.y1)) 6. ==[ alpha ]==> (((a (^x.a))(((^y.y) a)(^z.a)))(^x1.x1)) 7. ==[ beta ]==> (((a (^x.a))(a (^z.a)))(^x1.x1)) 8. ==[ alpha ]==> (((a (^x.a))(a (^y.a)))(^z.z)) REDUCED to normal form. ------ 45179/3115908. ------ 1. ==[ start ]==> (((a b) c)(^d.(a (a a)))) 2. ==[ alpha ]==> (((a b) c)(^x.(a (a a)))) REDUCED to normal form. ------ 45180/3115935. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^a.((^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)(^x.(^z.z))) 6. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 45181/3116043. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^c.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(a (a a)))) 3. ==[ beta ]==> ((a (^y.b))(^z.(a (a a)))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(a (a a)))) REDUCED to normal form. ------ 45182/3116061. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^a.(^b.(^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. ------ 45183/3116481. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a) a) a)) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y) a) a)) 3. ==[ eta ]==> (b (((^y.y) a) a)) 4. ==[ alpha ]==> (b (((^x.x) a) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 45184/3116790. ------ 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)(^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. ------ 45185/3116826. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^a.b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.b)) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.b)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.b)) REDUCED to normal form. ------ 45186/3116844. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(^z.z))) 3. ==[ beta ]==> (((a b)(a b))(^y.(^z.z))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 45187/3116853. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^a.(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(y y))) REDUCED to normal form. ------ 45188/3116901. ------ 1. ==[ start ]==> ((a (^a.a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 45189/3116919. ------ 1. ==[ start ]==> ((a (a a))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((a (a a))((a (a a))(^x.b))) REDUCED to normal form. ------ 45190/3116928. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^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. ------ 45191/3116946. ------ 1. ==[ start ]==> ((a b)(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((a b)(((^x.x) a)(^y.(a a)))) 3. ==[ beta ]==> ((a b)(a (^y.(a a)))) 4. ==[ alpha ]==> ((a b)(a (^x.(a a)))) REDUCED to normal form. ------ 45192/3116955. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a a)((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a a)((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 45193/3116982. ------ 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)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 45194/3117027. ------ 1. ==[ start ]==> ((a (a (^a.a)))((b a) a)) 2. ==[ alpha ]==> ((a (a (^x.x)))((b a) a)) REDUCED to normal form. ------ 45195/3117090. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.(a a))(^b.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. ------ 45196/3117117. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 45197/3117144. ------ 1. ==[ start ]==> ((a (^b.a))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 45198/3117225. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.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. ------ 45199/3117261. ------ 1. ==[ start ]==> (((a (^a.a)) b)(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(b ((a a)(^y.y)))) REDUCED to normal form. ------ 45200/3117288. ------ 1. ==[ start ]==> ((((^a.a) a) a)(a (b a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(a (b a))) 3. ==[ beta ]==> ((a a)(a (b a))) REDUCED to normal form. ------ 45201/3117315. ------ 1. ==[ start ]==> (((a a)(^b.a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.a))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 45202/3117342. ------ 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)(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. ------ 45203/3117369. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a b)((^z.z) a))) 3. ==[ beta ]==> ((a (^y.y))((a b)((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.x))((a b)((^y.y) a))) 5. ==[ beta ]==> ((a (^x.x))((a b) a)) REDUCED to normal form. ------ 45204/3117477. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y) a)(a b))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(a b))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(a b))) 5. ==[ beta ]==> ((a a)(a (a b))) REDUCED to normal form. ------ 45205/3117522. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 45206/3117603. ------ 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. ------ 45207/3117630. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 45208/3117684. ------ 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)(^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. ------ 45209/3117711. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))((a a) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 45210/3117729. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x) 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. ------ 45211/3117756. ------ 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)))) REDUCED to normal form. ------ 45212/3117810. ------ 1. ==[ start ]==> (((a (a a))(a a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(a a))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 45213/3117837. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(a a)) b)) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a)) b)) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a)) b)) 5. ==[ beta ]==> ((a (^x.x))((a a) b)) REDUCED to normal form. ------ 45214/3117846. ------ 1. ==[ start ]==> (((^a.a)(^b.(^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. ------ 45215/3117873. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.b)(^b.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. ------ 45216/3117927. ------ 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.(^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. ------ 45217/3117981. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.b))) 5. ==[ beta ]==> ((^y.y)((^z.a)(^x1.b))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.b))) 7. ==[ beta ]==> ((^y.a)(^z.b)) 8. ==[ alpha ]==> ((^x.a)(^y.b)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 45218/3117990. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(c (a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c (a b))) REDUCED to normal form. ------ 45219/3118008. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(^x1.x1))(^y1.(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. ------ 45220/3118017. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(b (a a))) REDUCED to normal form. ------ 45221/3118044. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(a ((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^y.a))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (^x.a))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 45222/3118071. ------ 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. ------ 45223/3118098. ------ 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. ------ 45224/3118305. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^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)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 45225/3118359. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> (a ((^z.a)((^x1.x1) a))) 6. ==[ alpha ]==> (a ((^x.a)((^y.y) a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 45226/3118440. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a)((a a) a))) 3. ==[ beta ]==> (((a a) a)((^y.a)((a a) a))) 4. ==[ alpha ]==> (((a a) a)((^x.a)((a a) a))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 45227/3118467. ------ 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.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. ------ 45228/3118521. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(a a))(^x1.x1))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(a a))(^x1.x1))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a))(^z.z))) 7. ==[ beta ]==> ((a a)((^y.(a a))(^z.z))) 8. ==[ alpha ]==> ((a a)((^x.(a a))(^y.y))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 45229/3118602. ------ 1. ==[ start ]==> ((a (^a.b))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 45230/3118728. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(a a)) a)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(a a)) a)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(a a)) a)) 5. ==[ beta ]==> ((a (^y.y))((^z.(a a)) a)) 6. ==[ alpha ]==> ((a (^x.x))((^y.(a a)) a)) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 45231/3118755. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.b) b)) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.b) b)) 3. ==[ beta ]==> ((((a a) a)(a a)) b) REDUCED to normal form. ------ 45232/3118773. ------ 1. ==[ start ]==> (((^a.b) a)(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(((a a) a)(a (^y.y)))) 3. ==[ beta ]==> (b (((a a) a)(a (^y.y)))) 4. ==[ alpha ]==> (b (((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 45233/3118782. ------ 1. ==[ start ]==> ((a (a b))((^c.a) c)) 2. ==[ alpha ]==> ((a (a b))((^x.a) c)) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 45234/3118953. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 45235/3118980. ------ 1. ==[ start ]==> (((^a.a)(a b))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((a b)((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> ((a b)((^x.a)(a (^y.y)))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 45236/3119007. ------ 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))((^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. ------ 45237/3119061. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (a a))(a (a a))) a) REDUCED to normal form. ------ 45238/3119142. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 45239/3119169. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 45240/3119187. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x)(^y.y)) c)) 3. ==[ beta ]==> (((a a)(a b))((^y.y) c)) 4. ==[ alpha ]==> (((a a)(a b))((^x.x) c)) 5. ==[ beta ]==> (((a a)(a b)) c) REDUCED to normal form. ------ 45241/3119322. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.b) a)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.b) a)) 3. ==[ beta ]==> ((((a a) a)(a (^x.x))) b) REDUCED to normal form. ------ 45242/3119340. ------ 1. ==[ start ]==> (((^a.b) b)(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.b) b)(((a a) a)(a a))) 3. ==[ beta ]==> (b (((a a) a)(a a))) REDUCED to normal form. ------ 45243/3119349. ------ 1. ==[ start ]==> (((a b)(a a))((^c.a) b)) 2. ==[ alpha ]==> (((a b)(a a))((^x.a) b)) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 45244/3119376. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z)) c)) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y)) c)) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 45245/3119466. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b (^x1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b (^x1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (^y1.a))) 5. ==[ beta ]==> ((^y.y)(b (^y1.a))) 6. ==[ alpha ]==> ((^x.x)(b (^y.a))) 7. ==[ beta ]==> (b (^y.a)) 8. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 45246/3119547. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 45247/3119601. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(a (a a)))) 5. ==[ beta ]==> ((a a)((^y.a)(a (a a)))) 6. ==[ alpha ]==> ((a a)((^x.a)(a (a a)))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 45248/3119628. ------ 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)(^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. ------ 45249/3119763. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.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. ------ 45250/3119772. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(c (a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c (a (a a)))) REDUCED to normal form. ------ 45251/3119799. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.x))(b (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(b (^y.y))) REDUCED to normal form. ------ 45252/3119862. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.(^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. ------ 45253/3119997. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 45254/3120024. ------ 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. ------ 45255/3120051. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(a (^z.a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (^y.a))) REDUCED to normal form. ------ 45256/3120087. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 45257/3120222. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 45258/3120231. ------ 1. ==[ start ]==> (((a b) c)(b (a (a a)))) REDUCED to normal form. ------ 45259/3120258. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a) b)(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a) b)(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a a) b)(a (^y.y))) 6. ==[ alpha ]==> (((a a) b)(a (^x.x))) REDUCED to normal form. ------ 45260/3120285. ------ 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. ------ 45261/3120339. ------ 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. ------ 45262/3120366. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a a)(a (a a)))) 3. ==[ beta ]==> ((a (^y.b))((a a)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.b))((a a)(a (a a)))) REDUCED to normal form. ------ 45263/3120384. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(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. ------ 45264/3120465. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (b ((^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. ------ 45265/3120618. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 45266/3120645. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^b.a) b)) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.a) b)) 3. ==[ beta ]==> (((a (a a))((a a) a)) a) REDUCED to normal form. ------ 45267/3120726. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 45268/3120753. ------ 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.(^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. ------ 45269/3120780. ------ 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. ------ 45270/3120807. ------ 1. ==[ start ]==> ((a (b a))(((^a.a) a) a)) 2. ==[ alpha ]==> ((a (b a))(((^x.x) a) a)) 3. ==[ beta ]==> ((a (b a))(a a)) REDUCED to normal form. ------ 45271/3120897. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(c (^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(c (^z.z))) 3. ==[ beta ]==> (((^y.b)(^y.b))(c (^z.z))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(c (^z.z))) 5. ==[ beta ]==> (b (c (^z.z))) 6. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 45272/3120978. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(^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 (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 45273/3121041. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(b (a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(b (a a))) REDUCED to normal form. ------ 45274/3121086. ------ 1. ==[ start ]==> (((^a.a)(b a))(b (^a.a))) 2. ==[ alpha ]==> (((^x.x)(b a))(b (^y.y))) 3. ==[ beta ]==> ((b a)(b (^y.y))) 4. ==[ alpha ]==> ((b a)(b (^x.x))) REDUCED to normal form. ------ 45275/3121113. ------ 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 (^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. ------ 45276/3121149. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(a b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(a b)) 3. ==[ beta ]==> ((a (^y.(a a)))(a b)) 4. ==[ alpha ]==> ((a (^x.(a a)))(a b)) REDUCED to normal form. ------ 45277/3121167. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a 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. ------ 45278/3121176. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(a (a a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(a (a a))) REDUCED to normal form. ------ 45279/3125673. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^b.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.(z a))) 3. ==[ beta ]==> ((^y.y)(^z.(z a))) 4. ==[ alpha ]==> ((^x.x)(^y.(y a))) 5. ==[ beta ]==> (^y.(y a)) 6. ==[ alpha ]==> (^x.(x a)) REDUCED to normal form. ------ 45280/3126138. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y) a)(a b))) 3. ==[ beta ]==> ((((^y.y) a)(a b))((((^y.y) a)(a b))(((^y.y) a)(a b)))) 4. ==[ alpha ]==> ((((^x.x) a)(a b))((((^y.y) a)(a b))(((^z.z) a)(a b)))) 5. ==[ beta ]==> ((a (a b))((((^y.y) a)(a b))(((^z.z) a)(a b)))) 6. ==[ alpha ]==> ((a (a b))((((^x.x) a)(a b))(((^y.y) a)(a b)))) 7. ==[ beta ]==> ((a (a b))((a (a b))(((^y.y) a)(a b)))) 8. ==[ alpha ]==> ((a (a b))((a (a b))(((^x.x) a)(a b)))) 9. ==[ beta ]==> ((a (a b))((a (a b))(a (a b)))) REDUCED to normal form. ------ 45281/3126363. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (a a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (a a))(^x1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 45282/3126456. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.((a a)(^z.z)))) 3. ==[ beta ]==> ((b b)(^y.((a a)(^z.z)))) 4. ==[ alpha ]==> ((b b)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 45283/3126699. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 45284/3126921. ------ 1. ==[ start ]==> ((^a.((a a) a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a)((^y.y)(a a)))((a a)((^y.y)(a a))))((a a)((^y.y)(a a)))) 4. ==[ alpha ]==> ((((a a)((^x.x)(a a)))((a a)((^y.y)(a a))))((a a)((^z.z)(a a)))) 5. ==[ beta ]==> ((((a a)(a a))((a a)((^y.y)(a a))))((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> ((((a a)(a a))((a a)((^x.x)(a a))))((a a)((^y.y)(a a)))) 7. ==[ beta ]==> ((((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)((^x.x)(a a)))) 9. ==[ beta ]==> ((((a a)(a a))((a a)(a a)))((a a)(a a))) REDUCED to normal form. ------ 45285/3127158. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.(x x)))(^y.(a a))) REDUCED to normal form. ------ 45286/3127383. ------ 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.y1)(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(^x1.((^y1.y1)(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.((^x1.x1)(z z)))) 5. ==[ beta ]==> ((a (^y.y))(^z.((^x1.x1)(z z)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.((^z.z)(y y)))) 7. ==[ beta ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 45287/3127434. ------ 1. ==[ start ]==> ((^a.(a b))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(((a a) a)(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a)(a (^y.y))) b) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x))) b) REDUCED to normal form. ------ 45288/3127590. ------ 1. ==[ start ]==> ((((a a) a) b)(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.(x x)))) REDUCED to normal form. ------ 45289/3127779. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^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. ------ 45290/3127821. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((a a) a) b)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((a a) a) b)) 3. ==[ beta ]==> (^y.((((a a) a) b)(((a a) a) b))) 4. ==[ alpha ]==> (^x.((((a a) a) b)(((a a) a) b))) REDUCED to normal form. ------ 45291/3127977. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^a.(a b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(y b))) REDUCED to normal form. ------ 45292/3128028. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((((^z.z)(^x1.x1))(a (^y1.y1)))(((^z.z)(^x1.x1))(a (^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((((^y.y)(^z.z))(a (^x1.x1)))(((^y1.y1)(^z1.z1))(a (^x2.x2))))) 5. ==[ beta ]==> ((((^y.y)(^z.z))(a (^x1.x1)))(((^y1.y1)(^z1.z1))(a (^x2.x2)))) 6. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 9. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 10. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(a (^x1.x1)))) 11. ==[ beta ]==> ((a (^x.x))((^z.z)(a (^x1.x1)))) 12. ==[ alpha ]==> ((a (^x.x))((^y.y)(a (^z.z)))) 13. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 14. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 45293/3128490. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.((y y) y))) 3. ==[ beta ]==> (((a a)(a a))(^y.((y y) y))) 4. ==[ alpha ]==> (((a a)(a a))(^x.((x x) x))) REDUCED to normal form. ------ 45294/3128643. ------ 1. ==[ start ]==> (((^a.b) c)(^a.(^c.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. ------ 45295/3128913. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^b.(^b.(^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. ------ 45296/3129156. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(a (a a)))) REDUCED to normal form. ------ 45297/3129273. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 45298/3129768. ------ 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)(^x1.x1)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 45299/3129804. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(a a))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(a a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(a a))) REDUCED to normal form. ------ 45300/3129822. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^c.a)) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.a)) 3. ==[ beta ]==> (((a b)(a b))(^y.a)) 4. ==[ alpha ]==> (((a b)(a b))(^x.a)) REDUCED to normal form. ------ 45301/3129831. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 45302/3129897. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (a ((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> (a ((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 45303/3129915. ------ 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. ------ 45304/3129924. ------ 1. ==[ start ]==> (((a a) a)((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a a) a)((^x.(x x))(a b))) 3. ==[ beta ]==> (((a a) a)((a b)(a b))) REDUCED to normal form. ------ 45305/3129942. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(^z.(a a)))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.(a a)))) 5. ==[ beta ]==> ((a a)(a (^y.(a a)))) 6. ==[ alpha ]==> ((a a)(a (^x.(a a)))) REDUCED to normal form. ------ 45306/3129951. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 45307/3129978. ------ 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)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 45308/3130005. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.z)(b a))) 3. ==[ beta ]==> ((^y.y)((^z.z)(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(b a))) 5. ==[ beta ]==> ((^y.y)(b a)) 6. ==[ alpha ]==> ((^x.x)(b a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 45309/3130023. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((b a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((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. ------ 45310/3130050. ------ 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) REDUCED to normal form. ------ 45311/3130086. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 45312/3130113. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 45313/3130167. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 45314/3130248. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 45315/3130392. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (((a a) a)(((a a) a)(a (a a)))) REDUCED to normal form. ------ 45316/3130419. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 8. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 45317/3130446. ------ 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. ------ 45318/3130473. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x) a)(a b))) 3. ==[ beta ]==> ((a (a (a a)))(a (a b))) REDUCED to normal form. ------ 45319/3130563. ------ 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)(^y.y))(((a a)(^z.z))(^x1.x1))) 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. ------ 45320/3130590. ------ 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. ------ 45321/3130599. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 45322/3130617. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a b)(^b.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. ------ 45323/3130626. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) b) REDUCED to normal form. ------ 45324/3130671. ------ 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)(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. ------ 45325/3130680. ------ 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. ------ 45326/3130698. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (a a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(^z.a))) REDUCED to normal form. ------ 45327/3130788. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> ((b b)((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> ((b b)((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> ((b b)((a a)(^y.y))) 6. ==[ alpha ]==> ((b b)((a a)(^x.x))) REDUCED to normal form. ------ 45328/3130833. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a)) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 45329/3130860. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((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. ------ 45330/3130923. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 45331/3130977. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.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. ------ 45332/3131004. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(^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. ------ 45333/3131031. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.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. ------ 45334/3131121. ------ 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)(^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. ------ 45335/3131148. ------ 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. ------ 45336/3131175. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((a (a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) 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. ------ 45337/3131202. ------ 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. ------ 45338/3131229. ------ 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))) REDUCED to normal form. ------ 45339/3131256. ------ 1. ==[ start ]==> ((a ((a a) a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))((a a)((^x.x)(a a)))) 3. ==[ beta ]==> ((a ((a a) a))((a a)(a a))) REDUCED to normal form. ------ 45340/3131292. ------ 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 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. ------ 45341/3131346. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((a a) a)(^b.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. ------ 45342/3131382. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(a (a a)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(a (a a)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 45343/3131409. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(x x))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y)(^z.z))((^y.y)(^z.z)))) 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. ------ 45344/3131454. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.b))) 5. ==[ beta ]==> ((a (^y.y))(^z.b)) 6. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 45345/3131463. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(^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. ------ 45346/3131490. ------ 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.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^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. ------ 45347/3131508. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z)(a a)) a)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z)(a a)) a)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(a a)) a)) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(a a)) a)) 6. ==[ alpha ]==> ((a ((^x.x) 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. ------ 45348/3131517. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((a (a a))(^x.a))(a a)) REDUCED to normal form. ------ 45349/3131544. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^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. ------ 45350/3131688. ------ 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. ------ 45351/3131715. ------ 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.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(a ((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^y.y))(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. ------ 45352/3131742. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a b)(a a))) REDUCED to normal form. ------ 45353/3131769. ------ 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. ------ 45354/3131778. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^c.a) c)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a) c)) 3. ==[ beta ]==> ((^y.b)((^z.a) c)) 4. ==[ alpha ]==> ((^x.b)((^y.a) c)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 45355/3131922. ------ 1. ==[ start ]==> ((((a a) a) b)(a (^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(a (^x.(a a)))) REDUCED to normal form. ------ 45356/3131940. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a b)(^z.z))) 3. ==[ beta ]==> (b ((a b)(^z.z))) 4. ==[ alpha ]==> (b ((a b)(^x.x))) REDUCED to normal form. ------ 45357/3131949. ------ 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. ------ 45358/3131967. ------ 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. ------ 45359/3131976. ------ 1. ==[ start ]==> (((a a)(^a.b))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 45360/3131994. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((^z.z)(^x1.x1))(^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. ------ 45361/3132030. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 45362/3132048. ------ 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.(^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. ------ 45363/3132057. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x))) a) REDUCED to normal form. ------ 45364/3132084. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(^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. ------ 45365/3132111. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^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. ------ 45366/3132129. ------ 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. ------ 45367/3132138. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.b)(^z.z))) 3. ==[ beta ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 45368/3132156. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((a a) a) b)) 2. ==[ alpha ]==> ((a (^x.(a a)))(((a a) a) b)) REDUCED to normal form. ------ 45369/3132282. ------ 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. ------ 45370/3132309. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(a (a b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(a (a b))) REDUCED to normal form. ------ 45371/3132336. ------ 1. ==[ start ]==> (((a b)(a a))(((a a) a)(a a))) REDUCED to normal form. ------ 45372/3132363. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(a (^y.y)))) 7. ==[ beta ]==> ((a (a a))(a (^y.y))) 8. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 45373/3132372. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.(^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. ------ 45374/3132534. ------ 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))(^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. ------ 45375/3132543. ------ 1. ==[ start ]==> (((a b) b)((^b.(^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. ------ 45376/3132570. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> (((a a) a)(((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> (((a a) a)(((^x.x) 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. ------ 45377/3132588. ------ 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.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^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)))) 7. ==[ beta ]==> ((a a)(a (^y.(y y)))) 8. ==[ alpha ]==> ((a a)(a (^x.(x x)))) REDUCED to normal form. ------ 45378/3132597. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.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. ------ 45379/3132615. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (^a.a))(^b.(^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. ------ 45380/3132624. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 45381/3132669. ------ 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 ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((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. ------ 45382/3132678. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 45383/3132705. ------ 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))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.y1)))((^y.(^z.z))(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 9. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 45384/3132732. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((^z.a)(^z.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.a)(^z.a))) 5. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 45385/3132759. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 45386/3132786. ------ 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.(^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. ------ 45387/3132822. ------ 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. ------ 45388/3132849. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> (((a (^x.x))(a b))((^z.z)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)(a a))) 5. ==[ beta ]==> (((a (^x.x))(a b))(a a)) REDUCED to normal form. ------ 45389/3132876. ------ 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. ------ 45390/3132903. ------ 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) 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. ------ 45391/3132930. ------ 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. ------ 45392/3132957. ------ 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. ------ 45393/3132975. ------ 1. ==[ start ]==> (((^a.b) c)(a (^c.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. ------ 45394/3133074. ------ 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 (^x1.x1))(^y1.(y1 y1)))) 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. ------ 45395/3133218. ------ 1. ==[ start ]==> (((a b) c)((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 45396/3133245. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.a)(^b.(^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. ------ 45397/3133290. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(z z)) b)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z)) b)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y)) b)) 5. ==[ beta ]==> (((a a)(^x.x))(b b)) REDUCED to normal form. ------ 45398/3133317. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.a) c)) 3. ==[ beta ]==> ((^y.y)((^x1.a) c)) 4. ==[ alpha ]==> ((^x.x)((^y.a) c)) 5. ==[ beta ]==> ((^y.a) c) 6. ==[ alpha ]==> ((^x.a) c) 7. ==[ beta ]==> a REDUCED to normal form. ------ 45399/3133326. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(c (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(c (^z.a))) REDUCED to normal form. ------ 45400/3133353. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(b (^z.(z z)))) 3. ==[ beta ]==> ((a (^y.b))(b (^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.b))(b (^y.(y y)))) REDUCED to normal form. ------ 45401/3133407. ------ 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))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(y1 y1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 45402/3133434. ------ 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) REDUCED to normal form. ------ 45403/3133452. ------ 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 (^z.z))(^x1.a))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.a))) REDUCED to normal form. ------ 45404/3133461. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 45405/3133488. ------ 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. ------ 45406/3133515. ------ 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))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((^x1.x1)(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 45407/3133578. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(b ((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(b ((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(b ((^y.y) a))) 5. ==[ beta ]==> (((a (^x.x))(a a))(b a)) REDUCED to normal form. ------ 45408/3133605. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(a (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(a (a (a a)))) 3. ==[ beta ]==> ((a (a b))(a (a (a a)))) REDUCED to normal form. ------ 45409/3133632. ------ 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. ------ 45410/3133659. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> ((^y.y)((a (^z.z))(a (^x1.x1)))) 8. ==[ alpha ]==> ((^x.x)((a (^y.y))(a (^z.z)))) 9. ==[ beta ]==> ((a (^y.y))(a (^z.z))) 10. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 45411/3133686. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((a a)((^x.x) a))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))((a a) a)) REDUCED to normal form. ------ 45412/3133767. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(b c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(b c)) REDUCED to normal form. ------ 45413/3133884. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.a) a)) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.a) a)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a) a)) 5. ==[ beta ]==> (b ((^z.a) a)) 6. ==[ alpha ]==> (b ((^x.a) a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 45414/3133965. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 45415/3134028. ------ 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)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 45416/3134073. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((b a)((^y.(^z.z)) a)) 4. ==[ alpha ]==> ((b a)((^x.(^y.y)) a)) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 45417/3134100. ------ 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)((^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. ------ 45418/3134136. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.z)(a a))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.z)(a a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(a a))) 5. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 45419/3134154. ------ 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 b))((a a) a)) REDUCED to normal form. ------ 45420/3134163. ------ 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. ------ 45421/3134346. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^b.(b a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.(z a))) 3. ==[ beta ]==> ((^z.(z a))(^y.y)) 4. ==[ alpha ]==> ((^x.(x a))(^y.y)) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 45422/3138126. ------ 1. ==[ start ]==> ((^a.(b a))(^b.((^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 (^x.a)) REDUCED to normal form. ------ 45423/3138576. ------ 1. ==[ start ]==> ((^a.(a a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((^y.(^z.z))((a a) a))((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((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. ------ 45424/3138603. ------ 1. ==[ start ]==> ((^a.b)((^a.(a a))(a b))) 2. ==[ alpha ]==> ((^x.b)((^y.(y y))(a b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 45425/3138684. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.z)(b a))) 3. ==[ beta ]==> (((^z.z)(b a))(^y.y)) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.y)) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 45426/3138687. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^b.(b a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.(y a))) REDUCED to normal form. ------ 45427/3138873. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(z z))(^x1.b))) 3. ==[ eta ]==> ((^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. ------ 45428/3138966. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^a.(b a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(b z))) 3. ==[ eta ]==> (((^x.x)((^y.y) a)) b) 4. ==[ beta ]==> (((^y.y) a) b) 5. ==[ alpha ]==> (((^x.x) a) b) 6. ==[ beta ]==> (a b) REDUCED to normal form. ------ 45429/3139044. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a b)((^z.z) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 45430/3139461. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b b)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 45431/3139470. ------ 1. ==[ start ]==> (((a (a a))(a a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 45432/3139722. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.((z z)(^x1.x1)))) REDUCED to normal form. ------ 45433/3139926. ------ 1. ==[ start ]==> ((^a.((a a) a))(b (^b.(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(b (^y.(a a)))) 3. ==[ beta ]==> (((b (^y.(a a)))(b (^y.(a a))))(b (^y.(a a)))) 4. ==[ alpha ]==> (((b (^x.(a a)))(b (^y.(a a))))(b (^z.(a a)))) REDUCED to normal form. ------ 45434/3140388. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(^x1.(a a)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(a a)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(a a)))) REDUCED to normal form. ------ 45435/3140982. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(^z.y))) REDUCED to normal form. ------ 45436/3141495. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(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. ------ 45437/3141657. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^a.(^c.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.y))) REDUCED to normal form. ------ 45438/3141708. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((^z.(z z))(a (^x1.x1)))((^z.(z z))(a (^x1.x1))))(^y.y)) 4. ==[ alpha ]==> ((((^x.(x x))(a (^y.y)))((^z.(z z))(a (^x1.x1))))(^y1.y1)) 5. ==[ beta ]==> ((((a (^y.y))(a (^y.y)))((^z.(z z))(a (^x1.x1))))(^y1.y1)) 6. ==[ alpha ]==> ((((a (^x.x))(a (^y.y)))((^z.(z z))(a (^x1.x1))))(^y1.y1)) 7. ==[ beta ]==> ((((a (^x.x))(a (^y.y)))((a (^x1.x1))(a (^x1.x1))))(^y1.y1)) 8. ==[ alpha ]==> ((((a (^x.x))(a (^y.y)))((a (^z.z))(a (^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 45439/3142278. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 45440/3142386. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 45441/3142464. ------ 1. ==[ start ]==> ((^a.(b a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.y)((^z.z) a))) 3. ==[ eta ]==> (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. ------ 45442/3142467. ------ 1. ==[ start ]==> ((a (b a))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((a (b a))(^x.((^y.y) a))) 3. ==[ beta ]==> ((a (b a))(^x.a)) REDUCED to normal form. ------ 45443/3142557. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.(x x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.z)) 5. ==[ beta ]==> (((^y.b)(^y.b))(^z.z)) 6. ==[ alpha ]==> (((^x.b)(^y.b))(^z.z)) 7. ==[ beta ]==> (b (^z.z)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 45444/3142746. ------ 1. ==[ start ]==> (((^a.a)(b a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.(y (^z.z)))) 3. ==[ beta ]==> ((b a)(^y.(y (^z.z)))) 4. ==[ alpha ]==> ((b a)(^x.(x (^y.y)))) REDUCED to normal form. ------ 45445/3142809. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^c.(^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))) REDUCED to normal form. ------ 45446/3142827. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^a.b)) 2. ==[ alpha ]==> (((^x.(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. ------ 45447/3142836. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^c.a)) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.a)) REDUCED to normal form. ------ 45448/3142920. ------ 1. ==[ start ]==> ((a (a a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 45449/3142938. ------ 1. ==[ start ]==> (((a a) a)((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a a) a)((a (a a))(^x.b))) REDUCED to normal form. ------ 45450/3142947. ------ 1. ==[ start ]==> ((a b)((^a.(a a))(a b))) 2. ==[ alpha ]==> ((a b)((^x.(x x))(a b))) 3. ==[ beta ]==> ((a b)((a b)(a b))) REDUCED to normal form. ------ 45451/3142965. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^x.x))(a (^z.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(a a)))) REDUCED to normal form. ------ 45452/3142992. ------ 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)))) REDUCED to normal form. ------ 45453/3143001. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 45454/3143028. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(b a))) 3. ==[ beta ]==> ((a (a (^x.x)))(b a)) REDUCED to normal form. ------ 45455/3143046. ------ 1. ==[ start ]==> (((a a) b)((b a) a)) REDUCED to normal form. ------ 45456/3143073. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x)) a)(((a a)(^y.y)) b)) REDUCED to normal form. ------ 45457/3143190. ------ 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 (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 45458/3143217. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))(^z.b))) 3. ==[ beta ]==> ((a a)((^y.(y y))(^z.b))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(^y.b))) 5. ==[ beta ]==> ((a a)((^y.b)(^y.b))) 6. ==[ alpha ]==> ((a a)((^x.b)(^y.b))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 45459/3143307. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(a (b a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) 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. ------ 45460/3143334. ------ 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))(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. ------ 45461/3143370. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(a a)) c)) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a)) c)) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a)) c)) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 45462/3143388. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a b)((^y.y) a))) 3. ==[ beta ]==> ((a (^x.(x x)))((a b) a)) REDUCED to normal form. ------ 45463/3143496. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) a)(a b))) 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 b))(((^y.y) 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. ------ 45464/3143523. ------ 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.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. ------ 45465/3143586. ------ 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. ------ 45466/3143613. ------ 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))(^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. ------ 45467/3143640. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a b)(^z.a))) REDUCED to normal form. ------ 45468/3143667. ------ 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. ------ 45469/3143694. ------ 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. ------ 45470/3143730. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(x x))((a a) a))) 3. ==[ beta ]==> (((a a)(a (a a)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 45471/3143757. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.a)(a b))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.a)(a b))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)(a b))) 5. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 45472/3143784. ------ 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. ------ 45473/3143802. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 45474/3143811. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.x)((a a)(^y.y)))) 3. ==[ beta ]==> (((a (a a))(a a))((a a)(^y.y))) 4. ==[ alpha ]==> (((a (a a))(a a))((a a)(^x.x))) REDUCED to normal form. ------ 45475/3144063. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(a ((a a)(^z.z)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 45476/3144099. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(a a)) b)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a)) b)) 5. ==[ beta ]==> ((^y.y)((^z.(a a)) b)) 6. ==[ alpha ]==> ((^x.x)((^y.(a a)) b)) 7. ==[ beta ]==> ((^y.(a a)) b) 8. ==[ alpha ]==> ((^x.(a a)) b) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 45477/3144270. ------ 1. ==[ start ]==> ((a ((a a) a))(b (^b.(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))(b (^x.(a a)))) REDUCED to normal form. ------ 45478/3144396. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(z z)))) 7. ==[ beta ]==> (b ((^y.y)(^z.(z z)))) 8. ==[ alpha ]==> (b ((^x.x)(^y.(y y)))) 9. ==[ beta ]==> (b (^y.(y y))) 10. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 45479/3144423. ------ 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. ------ 45480/3144477. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.b))) REDUCED to normal form. ------ 45481/3144504. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a a)(^z.(a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))((a a)(^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a a)(^y.(a a)))) REDUCED to normal form. ------ 45482/3144531. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y)(a a)) a)) 3. ==[ beta ]==> (((a (a a))(^x.a))((a a) a)) REDUCED to normal form. ------ 45483/3144558. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^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. ------ 45484/3144621. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 45485/3144648. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 8. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 45486/3144675. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a (a (a a)))((^y.a)(^z.a))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.a)(^y.a))) 5. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 45487/3144702. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.(^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. ------ 45488/3144729. ------ 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 (^x.x))(^z.(a a))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 45489/3144774. ------ 1. ==[ start ]==> (((^a.b) a)((^a.b) b)) 2. ==[ alpha ]==> (((^x.b) a)((^y.b) b)) 3. ==[ beta ]==> (b ((^y.b) b)) 4. ==[ alpha ]==> (b ((^x.b) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 45490/3144792. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((a a) a)(a (^z.z)))) 3. ==[ beta ]==> ((^y.b)(((a a) a)(a (^z.z)))) 4. ==[ alpha ]==> ((^x.b)(((a a) a)(a (^y.y)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 45491/3144873. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) a)((^x1.x1)(^y1.y1)))) IRREDUCIBLE: cycle. ------ 45492/3144963. ------ 1. ==[ start ]==> (((a b) a)((a b)(^a.a))) 2. ==[ alpha ]==> (((a b) a)((a b)(^x.x))) REDUCED to normal form. ------ 45493/3144990. ------ 1. ==[ start ]==> (((a a)(^a.b))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 45494/3145044. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (a a))(^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. ------ 45495/3145071. ------ 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.(^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. ------ 45496/3145098. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a (^a.a))(^c.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 REDUCED to normal form. ------ 45497/3145125. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)(^z.b))) REDUCED to normal form. ------ 45498/3145152. ------ 1. ==[ start ]==> (((a b)(^a.a))((a b) a)) 2. ==[ alpha ]==> (((a b)(^x.x))((a b) a)) REDUCED to normal form. ------ 45499/3145188. ------ 1. ==[ start ]==> (((a a)(a b))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 45500/3145215. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.(^a.a))(^b.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. ------ 45501/3145242. ------ 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 x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(z z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.(z z)))) 7. ==[ beta ]==> ((a (^x.x))((^z.(z z))(^z.(z z)))) 8. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 45502/3145269. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a))) a) REDUCED to normal form. ------ 45503/3145323. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.y)(^z.b))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.b)) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.b)) REDUCED to normal form. ------ 45504/3145341. ------ 1. ==[ start ]==> (((^a.b) b)((^a.b) a)) 2. ==[ alpha ]==> (((^x.b) b)((^y.b) a)) 3. ==[ beta ]==> (b ((^y.b) a)) 4. ==[ alpha ]==> (b ((^x.b) a)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 45505/3145386. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 45506/3145413. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a (a a))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((a (a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y) a))) 5. ==[ beta ]==> ((a (a a))((^y.y) a)) 6. ==[ alpha ]==> ((a (a a))((^x.x) a)) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 45507/3145467. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1))((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 9. ==[ beta ]==> ((a (^x.x))(^z.z)) 10. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 45508/3145557. ------ 1. ==[ start ]==> (((a b) b)(((^a.a)(^a.a))(^a.(^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. ------ 45509/3145584. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((a (a a))(^y.a))) 3. ==[ beta ]==> (((a a) a)((a (a a))(^y.a))) 4. ==[ alpha ]==> (((a a) a)((a (a a))(^x.a))) REDUCED to normal form. ------ 45510/3145611. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a (^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(a (^y.(y y)))) REDUCED to normal form. ------ 45511/3145638. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 45512/3145692. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a) a) a)) REDUCED to normal form. ------ 45513/3145719. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1)(^y1.y1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(^x1.x1)) b)) 5. ==[ beta ]==> ((^y.(y y))(((^z.z)(^x1.x1)) b)) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z)) b)) 7. ==[ beta ]==> ((((^y.y)(^z.z)) b)(((^y.y)(^z.z)) b)) 8. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z)(^x1.x1)) b)) 9. ==[ beta ]==> (((^y.y) b)(((^z.z)(^x1.x1)) b)) 10. ==[ alpha ]==> (((^x.x) b)(((^y.y)(^z.z)) b)) 11. ==[ beta ]==> (b (((^y.y)(^z.z)) b)) 12. ==[ alpha ]==> (b (((^x.x)(^y.y)) b)) 13. ==[ beta ]==> (b ((^y.y) b)) 14. ==[ alpha ]==> (b ((^x.x) b)) 15. ==[ beta ]==> (b b) REDUCED to normal form. ------ 45514/3145746. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a (a a)) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a (a a)) c)) REDUCED to normal form. ------ 45515/3145971. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(b (^b.(^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. ------ 45516/3145998. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(a (^c.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(a (^y.a))) REDUCED to normal form. ------ 45517/3146025. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(a a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(a a))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 45518/3146052. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 45519/3146088. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(c d)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(c d)) 3. ==[ beta ]==> ((^y.y)(c d)) 4. ==[ alpha ]==> ((^x.x)(c d)) 5. ==[ beta ]==> (c d) REDUCED to normal form. ------ 45520/3146223. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 45521/3146232. ------ 1. ==[ start ]==> (((a b) c)((a (^a.a)) d)) 2. ==[ alpha ]==> (((a b) c)((a (^x.x)) d)) REDUCED to normal form. ------ 45522/3146286. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z)) a)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 45523/3146304. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (a a))(a a))) 3. ==[ beta ]==> (((a a)(^y.y))((a (a a))(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(a a))) REDUCED to normal form. ------ 45524/3146331. ------ 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. ------ 45525/3146340. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.a) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.a) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 45526/3146385. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a a)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a a)(a (a a)))) REDUCED to normal form. ------ 45527/3146421. ------ 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. ------ 45528/3146448. ------ 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. ------ 45529/3146466. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(c c)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(c c)) 3. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 45530/3146475. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 45531/3146502. ------ 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 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. ------ 45532/3146529. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a (a a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (a a)) a)) REDUCED to normal form. ------ 45533/3146565. ------ 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)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x))) a) REDUCED to normal form. ------ 45534/3146592. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 45535/3146619. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 45536/3146700. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(b (^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(b (^x.a))) REDUCED to normal form. ------ 45537/3146727. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(a (^y.(y y)))) 3. ==[ beta ]==> (((a b) a)(a (^y.(y y)))) 4. ==[ alpha ]==> (((a b) a)(a (^x.(x x)))) REDUCED to normal form. ------ 45538/3146754. ------ 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) REDUCED to normal form. ------ 45539/3146781. ------ 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)(^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 45540/3146808. ------ 1. ==[ start ]==> ((a (b a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((a (b a))((^x.x)((^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. ------ 45541/3146898. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(a ((^z.z) a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(a ((^z.z) a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(a ((^z.z) a))) 5. ==[ beta ]==> (b (a ((^z.z) a))) 6. ==[ alpha ]==> (b (a ((^x.x) a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 45542/3146979. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(c a)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(c a)) 3. ==[ beta ]==> (b (c a)) REDUCED to normal form. ------ 45543/3147042. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a (^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a (^y.y)) a)) REDUCED to normal form. ------ 45544/3147087. ------ 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. ------ 45545/3147114. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a a)(a a))) 3. ==[ beta ]==> ((^y.y)((a a)(a a))) 4. ==[ alpha ]==> ((^x.x)((a a)(a a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 45546/3147150. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a a)(^z.z))) 3. ==[ beta ]==> ((a (^y.(a a)))((a a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a a)(^y.y))) REDUCED to normal form. ------ 45547/3147168. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(a b)) 2. ==[ alpha ]==> (((^x.(x x))(a b))(a b)) 3. ==[ beta ]==> (((a b)(a b))(a b)) REDUCED to normal form. ------ 45548/3147177. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a a) a)) REDUCED to normal form. ------ 45549/3147230. ------ 1. ==[ start ]==> (^a.(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (^x.(((x x) x)(^y.(^z.z)))) REDUCED to normal form. ------ 45550/3147231. ------ 1. ==[ start ]==> (a (((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (a (((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 45551/3151149. ------ 1. ==[ start ]==> ((^a.(b a))(^c.(^b.a))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(^z.a))) 3. ==[ eta ]==> (b (^y.(^z.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 45552/3151575. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a))) a) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 45553/3151581. ------ 1. ==[ start ]==> ((^a.a)(((a a) a)(^b.(^a.a)))) 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. ------ 45554/3151635. ------ 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. ------ 45555/3151671. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 45556/3151728. ------ 1. ==[ start ]==> (((^a.a)(^a.(^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. ------ 45557/3151833. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (^x.((^y.b)(^z.(z z)))) 5. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 45558/3152007. ------ 1. ==[ start ]==> (((a a)(^b.a))(^a.(b a))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(b y))) 3. ==[ eta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 45559/3152250. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.((a a)(^z.z)))) 3. ==[ beta ]==> ((a b)(^y.((a a)(^z.z)))) 4. ==[ alpha ]==> ((a b)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 45560/3152400. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 45561/3152526. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((a a)(^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. ------ 45562/3152754. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 45563/3152763. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.((z z)(^x1.x1)))) REDUCED to normal form. ------ 45564/3152997. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 45565/3153213. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(^y.((^z.z)(a a)))) 7. ==[ beta ]==> ((a a)(^y.((^z.z)(a a)))) 8. ==[ alpha ]==> ((a a)(^x.((^y.y)(a a)))) 9. ==[ beta ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 45566/3153291. ------ 1. ==[ start ]==> ((^a.(^a.b))((^c.a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a)(^x1.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 45567/3153471. ------ 1. ==[ start ]==> ((^a.(a b))((^a.b) b)) 2. ==[ alpha ]==> ((^x.(x b))((^y.b) b)) 3. ==[ beta ]==> (((^y.b) b) b) 4. ==[ alpha ]==> (((^x.b) b) b) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 45568/3153627. ------ 1. ==[ start ]==> ((((a a) a) b)(^c.(a b))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(a b))) REDUCED to normal form. ------ 45569/3153645. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (b (^z.(^x1.(z z)))) 4. ==[ alpha ]==> (b (^x.(^y.(x x)))) REDUCED to normal form. ------ 45570/3153834. ------ 1. ==[ start ]==> (((^a.b)(a a))(^b.(a b))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(a y))) 3. ==[ eta ]==> (((^x.b)(a a)) a) 4. ==[ beta ]==> (b a) REDUCED to normal form. ------ 45571/3153858. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (^y.(((^z.b)(^x1.x1))((^z.b)(^x1.x1)))) 4. ==[ alpha ]==> (^x.(((^y.b)(^z.z))((^x1.b)(^y1.y1)))) 5. ==[ beta ]==> (^x.(b ((^x1.b)(^y1.y1)))) 6. ==[ alpha ]==> (^x.(b ((^y.b)(^z.z)))) 7. ==[ beta ]==> (^x.(b b)) REDUCED to normal form. ------ 45572/3154032. ------ 1. ==[ start ]==> (((^a.b) b)(^a.(a b))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(y b))) 3. ==[ beta ]==> (b (^y.(y b))) 4. ==[ alpha ]==> (b (^x.(x b))) REDUCED to normal form. ------ 45573/3154374. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.((a a) a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.((a a) a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.((a a) a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.((a a) a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.((a a) a))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.((a a) a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((a a) a))) 9. ==[ beta ]==> ((^y.y)(^z.((a a) a))) 10. ==[ alpha ]==> ((^x.x)(^y.((a a) a))) 11. ==[ beta ]==> (^y.((a a) a)) 12. ==[ alpha ]==> (^x.((a a) a)) REDUCED to normal form. ------ 45574/3154680. ------ 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 (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 45575/3154740. ------ 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 ]==> ((((a (a a))(^z.(^x1.x1)))((a (a a))(^z.(^x1.x1))))(^y.y)) 4. ==[ alpha ]==> ((((a (a a))(^x.(^y.y)))((a (a a))(^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 45576/3154977. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^y.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 45577/3155310. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^c.d)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.d)) 3. ==[ beta ]==> ((a (a b))(^y.d)) 4. ==[ alpha ]==> ((a (a b))(^x.d)) REDUCED to normal form. ------ 45578/3155496. ------ 1. ==[ start ]==> ((^a.(b a))((a a)(^b.a))) 2. ==[ alpha ]==> ((^x.(b x))((a a)(^y.a))) 3. ==[ eta ]==> (b ((a a)(^y.a))) 4. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 45579/3155499. ------ 1. ==[ start ]==> ((a (b a))(^c.(^b.a))) 2. ==[ alpha ]==> ((a (b a))(^x.(^y.a))) REDUCED to normal form. ------ 45580/3155589. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.a))) 5. ==[ beta ]==> (b (^z.(^x1.a))) 6. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 45581/3155670. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(^x1.z))) 3. ==[ beta ]==> (b (^z.(^x1.z))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 45582/3155733. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^a.c)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.c)) REDUCED to normal form. ------ 45583/3155778. ------ 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. ------ 45584/3155859. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(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. ------ 45585/3155868. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^a.b)) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.b)) REDUCED to normal form. ------ 45586/3155922. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^a.a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 45587/3155934. ------ 1. ==[ start ]==> ((a a)(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a a)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 45588/3155970. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.(^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. ------ 45589/3155988. ------ 1. ==[ start ]==> ((a b)((a (a a))(^a.b))) 2. ==[ alpha ]==> ((a b)((a (a a))(^x.b))) REDUCED to normal form. ------ 45590/3155997. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(a b))) 3. ==[ beta ]==> ((a a)((^y.(y y))(a b))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(a b))) 5. ==[ beta ]==> ((a a)((a b)(a b))) REDUCED to normal form. ------ 45591/3156024. ------ 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))) a) REDUCED to normal form. ------ 45592/3156078. ------ 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. ------ 45593/3156159. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.(a a))(^b.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. ------ 45594/3156186. ------ 1. ==[ start ]==> ((a (^b.a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 45595/3156267. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> ((^y.a)((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> ((^x.a)((^y.(y y))(^z.b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 45596/3156294. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((^y.a)(^z.(a a))) 6. ==[ alpha ]==> ((^x.a)(^y.(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 45597/3156303. ------ 1. ==[ start ]==> (((a (^a.a)) b)(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(c ((^y.y)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)(c (a a))) REDUCED to normal form. ------ 45598/3156330. ------ 1. ==[ start ]==> ((((^a.a) a) a)(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(b ((a a)(^y.y)))) 3. ==[ beta ]==> ((a a)(b ((a a)(^y.y)))) 4. ==[ alpha ]==> ((a a)(b ((a a)(^x.x)))) REDUCED to normal form. ------ 45599/3156357. ------ 1. ==[ start ]==> (((a a)(^b.a))(a (b a))) 2. ==[ alpha ]==> (((a a)(^x.a))(a (b a))) REDUCED to normal form. ------ 45600/3156384. ------ 1. ==[ start ]==> (((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))) REDUCED to normal form. ------ 45601/3156411. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z)(a a))(a (^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. ------ 45602/3156519. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a (a a))((a a) a))) 3. ==[ beta ]==> ((a a)((a (a a))((a a) a))) REDUCED to normal form. ------ 45603/3156564. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(c (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(c (^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(c (^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(c (^y.(a a)))) 5. ==[ beta ]==> (c (^y.(a a))) 6. ==[ alpha ]==> (c (^x.(a a))) REDUCED to normal form. ------ 45604/3156600. ------ 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. ------ 45605/3156672. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(a a))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> ((^y.(a a))(a (^z.z))) 6. ==[ alpha ]==> ((^x.(a a))(a (^y.y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 45606/3156753. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 45607/3156798. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) a)(^z.b))) 5. ==[ beta ]==> (((a (^x.x)) a)(a (^z.b))) 6. ==[ alpha ]==> (((a (^x.x)) a)(a (^y.b))) REDUCED to normal form. ------ 45608/3156825. ------ 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. ------ 45609/3156879. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a)(^z.z)) a)) 3. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z)) a)) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 45610/3156888. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.(^a.a))(^a.a))) 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. ------ 45611/3156915. ------ 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))(^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. ------ 45612/3157050. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.b))) 5. ==[ beta ]==> ((^y.a)(^z.b)) 6. ==[ alpha ]==> ((^x.a)(^y.b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 45613/3157086. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(b ((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^y.a))(b ((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.a))(b ((^y.y)(a a)))) 5. ==[ beta ]==> ((a (^x.a))(b (a a))) REDUCED to normal form. ------ 45614/3157113. ------ 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. ------ 45615/3157140. ------ 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 a))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(a a))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(a a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a a))) 7. ==[ beta ]==> (((^y.y)(a a))(a a)) 8. ==[ alpha ]==> (((^x.x)(a a))(a a)) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 45616/3157176. ------ 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)(^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. ------ 45617/3157347. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 45618/3157401. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.b)(a (^x1.x1)))) 5. ==[ beta ]==> (a ((^z.b)(a (^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.b)(a (^y.y)))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 45619/3157482. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))((^y.y)(^z.z)))) 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. ------ 45620/3157509. ------ 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)((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. ------ 45621/3157563. ------ 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 ]==> ((((^y.y) a)((^y.y) a))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.z)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)((^z.z)(a a)))) 7. ==[ beta ]==> ((a a)((^y.y)((^z.z)(a a)))) 8. ==[ alpha ]==> ((a a)((^x.x)((^y.y)(a a)))) 9. ==[ beta ]==> ((a a)((^y.y)(a a))) 10. ==[ alpha ]==> ((a a)((^x.x)(a a))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 45622/3157644. ------ 1. ==[ start ]==> ((a (^a.b))((^c.a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 45623/3157797. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(a a)) a)) 3. ==[ beta ]==> ((((a a) a)(a a))(a a)) REDUCED to normal form. ------ 45624/3157815. ------ 1. ==[ start ]==> (((^a.b) a)((a b)(a a))) 2. ==[ alpha ]==> (((^x.b) a)((a b)(a a))) 3. ==[ beta ]==> (b ((a b)(a a))) REDUCED to normal form. ------ 45625/3157824. ------ 1. ==[ start ]==> ((a (a b))((^a.b) b)) 2. ==[ alpha ]==> ((a (a b))((^x.b) b)) 3. ==[ beta ]==> ((a (a b)) b) REDUCED to normal form. ------ 45626/3157977. ------ 1. ==[ start ]==> ((((a a) a) b)((a a)(a b))) REDUCED to normal form. ------ 45627/3157995. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(a (^z.(a a)))) 3. ==[ beta ]==> (b (a (^z.(a a)))) 4. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 45628/3158022. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.b)(a a))) 3. ==[ beta ]==> ((a b)((^y.b)(a a))) 4. ==[ alpha ]==> ((a b)((^x.b)(a a))) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 45629/3158103. ------ 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. ------ 45630/3158184. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 45631/3158211. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.b)(^z.z))) 3. ==[ beta ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 45632/3158229. ------ 1. ==[ start ]==> (((a a)(a b))(((a a) a) b)) REDUCED to normal form. ------ 45633/3158382. ------ 1. ==[ start ]==> (((^a.b) b)(a (a b))) 2. ==[ alpha ]==> (((^x.b) b)(a (a b))) 3. ==[ beta ]==> (b (a (a b))) REDUCED to normal form. ------ 45634/3158391. ------ 1. ==[ start ]==> (((a b)(a a))((^a.b) a)) 2. ==[ alpha ]==> (((a b)(a a))((^x.b) a)) 3. ==[ beta ]==> (((a b)(a a)) b) REDUCED to normal form. ------ 45635/3158508. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(c (^b.(^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. ------ 45636/3158589. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^c.a)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)(a a))) 3. ==[ beta ]==> (b ((^x1.a)(a a))) 4. ==[ alpha ]==> (b ((^x.a)(a a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 45637/3158643. ------ 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))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> ((a a)((^y.(y y))((^z.z) 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. ------ 45638/3158670. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (a a)))) 5. ==[ beta ]==> ((^y.a)(a (a a))) 6. ==[ alpha ]==> ((^x.a)(a (a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 45639/3158724. ------ 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 ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.x1)((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. ------ 45640/3158805. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(a a))(^b.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. ------ 45641/3158904. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^c.a) a)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.a) a)) 3. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 45642/3158931. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.(^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. ------ 45643/3159030. ------ 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)))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 45644/3159066. ------ 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))(^x1.x1))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^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. ------ 45645/3159093. ------ 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. ------ 45646/3159129. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((^y.a)((^z.z) a)) 6. ==[ alpha ]==> ((^x.a)((^y.y) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 45647/3159264. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 45648/3159273. ------ 1. ==[ start ]==> (((a b) c)(c ((^a.a) a))) 2. ==[ alpha ]==> (((a b) c)(c ((^x.x) a))) 3. ==[ beta ]==> (((a b) c)(c a)) REDUCED to normal form. ------ 45649/3159300. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(b (a (a a)))) 3. ==[ beta ]==> (((a a) b)(b (a (a a)))) REDUCED to normal form. ------ 45650/3159327. ------ 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)(^x.x)) a)(a (^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(a (^y.y))) REDUCED to normal form. ------ 45651/3159381. ------ 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. ------ 45652/3159408. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.b))((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.b))((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a (^x.b))((a (^y.y)) a)) REDUCED to normal form. ------ 45653/3159426. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(b (^y.(y y)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(b (^y.(y y)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(b (^x.(x x)))) REDUCED to normal form. ------ 45654/3159507. ------ 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) REDUCED to normal form. ------ 45655/3159516. ------ 1. ==[ start ]==> (((a b)(^b.a))(c c)) 2. ==[ alpha ]==> (((a b)(^x.a))(c c)) REDUCED to normal form. ------ 45656/3159606. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((^y.y) a) b)) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(a b)) REDUCED to normal form. ------ 45657/3159687. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(x x)) a)) 3. ==[ beta ]==> (((a (a a))((a a) a))(a a)) REDUCED to normal form. ------ 45658/3159714. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.a) b)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.a) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a) b)) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a) b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a) b)) 7. ==[ beta ]==> ((^y.y)((^z.a) b)) 8. ==[ alpha ]==> ((^x.x)((^y.a) b)) 9. ==[ beta ]==> ((^y.a) b) 10. ==[ alpha ]==> ((^x.a) b) 11. ==[ beta ]==> a REDUCED to normal form. ------ 45659/3159795. ------ 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)(^x1.x1))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y) a)(^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. ------ 45660/3159822. ------ 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)))) REDUCED to normal form. ------ 45661/3159849. ------ 1. ==[ start ]==> ((a (b a))((a a)(^b.a))) 2. ==[ alpha ]==> ((a (b a))((a a)(^x.a))) REDUCED to normal form. ------ 45662/3159939. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.z)(^x1.a))) 5. ==[ beta ]==> (b ((^z.z)(^x1.a))) 6. ==[ alpha ]==> (b ((^x.x)(^y.a))) 7. ==[ beta ]==> (b (^y.a)) 8. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 45663/3160020. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(a (^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(a (^z.a))) 3. ==[ beta ]==> (b (a (^z.a))) 4. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 45664/3160083. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(a c)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(a c)) REDUCED to normal form. ------ 45665/3160128. ------ 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. ------ 45666/3160155. ------ 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)(b (^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(b (^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 45667/3160191. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(b a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(b a)) 3. ==[ beta ]==> ((a (^y.(a a)))(b a)) 4. ==[ alpha ]==> ((a (^x.(a a)))(b a)) REDUCED to normal form. ------ 45668/3160209. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.y)(a a))) 3. ==[ beta ]==> (((a b)(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. ------ 45669/3160218. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(a b)) 2. ==[ alpha ]==> (((a (a a))(^x.b))(a b)) REDUCED to normal form. ------ 45670/3160272. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(a a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 45671/3164625. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a))) b) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y))) b) REDUCED to normal form. ------ 45672/3164649. ------ 1. ==[ start ]==> ((^a.(^a.a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 45673/3164730. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 45674/3164796. ------ 1. ==[ start ]==> (((a a) b)(^b.(b a))) 2. ==[ alpha ]==> (((a a) b)(^x.(x a))) REDUCED to normal form. ------ 45675/3165135. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(a a)) c)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 45676/3165234. ------ 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. ------ 45677/3165459. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 45678/3165822. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 45679/3166017. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((^x.((x x) x))((a (^y.y))(a b))) 3. ==[ beta ]==> ((((a (^y.y))(a b))((a (^y.y))(a b)))((a (^y.y))(a b))) 4. ==[ alpha ]==> ((((a (^x.x))(a b))((a (^y.y))(a b)))((a (^z.z))(a b))) REDUCED to normal form. ------ 45680/3166281. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^y.(a a))) REDUCED to normal form. ------ 45681/3166350. ------ 1. ==[ start ]==> ((^a.(^a.b))(((a a) a) c)) 2. ==[ alpha ]==> ((^x.(^y.b))(((a a) a) c)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 45682/3166506. ------ 1. ==[ start ]==> ((((a a) a)(a a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(^x.((^y.y)(x x)))) 3. ==[ beta ]==> ((((a a) a)(a a))(^x.(x x))) REDUCED to normal form. ------ 45683/3166530. ------ 1. ==[ start ]==> ((^a.(a b))((a b)(a a))) 2. ==[ alpha ]==> ((^x.(x b))((a b)(a a))) 3. ==[ beta ]==> (((a b)(a a)) b) REDUCED to normal form. ------ 45684/3166713. ------ 1. ==[ start ]==> (((a b) a)(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a b) a)(^x.(^y.(x x)))) REDUCED to normal form. ------ 45685/3166893. ------ 1. ==[ start ]==> (((^a.b)(a a))(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(^z.b))) 3. ==[ beta ]==> (b (^y.(^z.b))) 4. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 45686/3166902. ------ 1. ==[ start ]==> (((a b)(^a.a))(^b.(a b))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(a y))) 3. ==[ eta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 45687/3166917. ------ 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. ------ 45688/3167091. ------ 1. ==[ start ]==> (((^a.b) b)(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(^z.y))) 3. ==[ beta ]==> (b (^y.(^z.y))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 45689/3167100. ------ 1. ==[ start ]==> (((a b)(a a))(^a.(a b))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(x b))) REDUCED to normal form. ------ 45690/3167124. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((a a) a)(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((a a) a)(a a))) 3. ==[ beta ]==> ((^y.y)((((a a) a)(a a))(((a a) a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((((a a) a)(a a))(((a a) a)(a a)))) 5. ==[ beta ]==> ((((a a) a)(a a))(((a a) a)(a a))) REDUCED to normal form. ------ 45691/3167442. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.((a a) a))) REDUCED to normal form. ------ 45692/3167613. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.((y y) y))) REDUCED to normal form. ------ 45693/3167739. ------ 1. ==[ start ]==> (((^a.b) c)(^d.(^b.(^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. ------ 45694/3167748. ------ 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)))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 45695/3168036. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 45696/3168171. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^a.(^b.(^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. ------ 45697/3168279. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(a (a a)))) REDUCED to normal form. ------ 45698/3168396. ------ 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. ------ 45699/3168477. ------ 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)(^x.a)) REDUCED to normal form. ------ 45700/3168555. ------ 1. ==[ start ]==> ((^a.(b a))(b c)) 2. ==[ alpha ]==> ((^x.(b x))(b c)) 3. ==[ eta ]==> (b (b c)) REDUCED to normal form. ------ 45701/3168648. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^c.c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.z)) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.z)) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.z)) 5. ==[ beta ]==> (b (^z.z)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 45702/3168729. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^b.c)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.c)) 3. ==[ beta ]==> (b (^z.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 45703/3168792. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(a (^z.z)))) REDUCED to normal form. ------ 45704/3168837. ------ 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. ------ 45705/3168900. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^a.(^a.(^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. ------ 45706/3168918. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(^z.z))) 3. ==[ beta ]==> (((a b)(a b))(^y.(^z.z))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 45707/3168927. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^b.(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(a a))) REDUCED to normal form. ------ 45708/3168981. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 45709/3169011. ------ 1. ==[ start ]==> ((a (^a.a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 45710/3169047. ------ 1. ==[ start ]==> (((a a) a)((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 45711/3169065. ------ 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. ------ 45712/3169074. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(a b))) 3. ==[ beta ]==> (((a a)(^x.x))((a b)(a b))) REDUCED to normal form. ------ 45713/3169092. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(a a)))) REDUCED to normal form. ------ 45714/3169101. ------ 1. ==[ start ]==> (((^a.a) b)((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (b ((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 45715/3169128. ------ 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)((^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. ------ 45716/3169155. ------ 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. ------ 45717/3169173. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((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. ------ 45718/3169200. ------ 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)) REDUCED to normal form. ------ 45719/3169236. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.(a a))(^b.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. ------ 45720/3169290. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 45721/3169371. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 45722/3169497. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(a a)) c)) 3. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 45723/3169515. ------ 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) 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. ------ 45724/3169542. ------ 1. ==[ start ]==> (((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 a)))) REDUCED to normal form. ------ 45725/3169569. ------ 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. ------ 45726/3169596. ------ 1. ==[ start ]==> ((a (a (a a)))((a (a a))((a a) a))) REDUCED to normal form. ------ 45727/3169668. ------ 1. ==[ start ]==> ((((^a.a) a) b)(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) 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. ------ 45728/3169713. ------ 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. ------ 45729/3169740. ------ 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))(^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. ------ 45730/3169749. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 45731/3169776. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.b)((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.b)((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 45732/3169794. ------ 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 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. ------ 45733/3169821. ------ 1. ==[ start ]==> ((a (^b.(^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)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 45734/3169911. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(^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. ------ 45735/3169956. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 45736/3169983. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^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. ------ 45737/3170046. ------ 1. ==[ start ]==> (((a (a a)) b)((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.a)(^y.(y y)))) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 45738/3170073. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a ((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 45739/3170100. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(a a))(^c.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. ------ 45740/3170127. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 45741/3170154. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(^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. ------ 45742/3170244. ------ 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)))) 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. ------ 45743/3170271. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(((a a) a) a)) REDUCED to normal form. ------ 45744/3170298. ------ 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)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x) 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. ------ 45745/3170325. ------ 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. ------ 45746/3170352. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)((a a) a))) 5. ==[ beta ]==> ((a a)(((^y.y) a)((a a) a))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)((a a) a))) 7. ==[ beta ]==> ((a a)(a ((a a) a))) REDUCED to normal form. ------ 45747/3170379. ------ 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. ------ 45748/3170469. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a b)(^a.(^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. ------ 45749/3170505. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)((^z.z) a))) 5. ==[ beta ]==> (b ((^y.a)((^z.z) a))) 6. ==[ alpha ]==> (b ((^x.a)((^y.y) a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 45750/3170532. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> ((((a a) a) a)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 45751/3170550. ------ 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. ------ 45752/3170586. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.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. ------ 45753/3170613. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(^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. ------ 45754/3170631. ------ 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)((^y.y) a))((a a)(^z.(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)))) 7. ==[ beta ]==> ((a a)((a a)(^y.(a a)))) 8. ==[ alpha ]==> ((a a)((a a)(^x.(a a)))) REDUCED to normal form. ------ 45755/3170640. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.a))((^z.z)(a a))) 4. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)(a a))) 5. ==[ beta ]==> (((a (a a))(^x.a))(a a)) REDUCED to normal form. ------ 45756/3170667. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(a a))(^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. ------ 45757/3170694. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.b)(^a.(^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. ------ 45758/3170712. ------ 1. ==[ start ]==> ((a (^a.b))(((a a) a) c)) 2. ==[ alpha ]==> ((a (^x.b))(((a a) a) c)) REDUCED to normal form. ------ 45759/3170838. ------ 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. ------ 45760/3170865. ------ 1. ==[ start ]==> ((((a a) a)(a a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(a ((^x.x)(a a)))) 3. ==[ beta ]==> ((((a a) a)(a a))(a (a a))) REDUCED to normal form. ------ 45761/3170892. ------ 1. ==[ start ]==> ((a (a b))((a b)(a a))) REDUCED to normal form. ------ 45762/3170901. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.b) b)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.b) b)) 3. ==[ beta ]==> ((^y.b)((^z.b) b)) 4. ==[ alpha ]==> ((^x.b)((^y.b) b)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 45763/3171045. ------ 1. ==[ start ]==> ((((a a) a) b)(b (^a.b))) 2. ==[ alpha ]==> ((((a a) a) b)(b (^x.b))) REDUCED to normal form. ------ 45764/3171072. ------ 1. ==[ start ]==> (((a b) a)(a (^b.(a a)))) 2. ==[ alpha ]==> (((a b) a)(a (^x.(a a)))) REDUCED to normal form. ------ 45765/3171090. ------ 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. ------ 45766/3171099. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.b)(a a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.b)(a a))) 3. ==[ beta ]==> (((a a)(^x.b)) b) REDUCED to normal form. ------ 45767/3171117. ------ 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. ------ 45768/3171153. ------ 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))((^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. ------ 45769/3171171. ------ 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. ------ 45770/3171180. ------ 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. ------ 45771/3171207. ------ 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)(^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. ------ 45772/3171234. ------ 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. ------ 45773/3171252. ------ 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)(^y.b))) 4. ==[ alpha ]==> (b ((a a)(^x.b))) REDUCED to normal form. ------ 45774/3171261. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.a)(a b))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(a b))) 3. ==[ beta ]==> (((a b)(^x.x))(a b)) REDUCED to normal form. ------ 45775/3171279. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a b) a)) 2. ==[ alpha ]==> ((a (^x.(a a)))((a b) a)) REDUCED to normal form. ------ 45776/3171432. ------ 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. ------ 45777/3171450. ------ 1. ==[ start ]==> (((^a.b) b)((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.b) b)((^y.y)(^z.b))) 3. ==[ beta ]==> (b ((^y.y)(^z.b))) 4. ==[ alpha ]==> (b ((^x.x)(^y.b))) 5. ==[ beta ]==> (b (^y.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 45778/3171459. ------ 1. ==[ start ]==> (((a b)(a a))(a (a b))) REDUCED to normal form. ------ 45779/3171486. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((a a) a)(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((a a) a)(a a))) 3. ==[ beta ]==> ((a (a a))(((a a) a)(a a))) REDUCED to normal form. ------ 45780/3171495. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^c.a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a) b)) 3. ==[ beta ]==> ((^y.(a a))((^z.a) b)) 4. ==[ alpha ]==> ((^x.(a a))((^y.a) b)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 45781/3171522. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.(^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. ------ 45782/3171657. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 45783/3171666. ------ 1. ==[ start ]==> (((a b) b)((^c.a)(a a))) 2. ==[ alpha ]==> (((a b) b)((^x.a)(a a))) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 45784/3171693. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.(^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)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 45785/3171711. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (a a))(^z.a))) 3. ==[ beta ]==> (((^y.y)(a a))((a (a a))(^z.a))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (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. ------ 45786/3171720. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.(a a)))(a ((^z.z) a))) 6. ==[ alpha ]==> (((a a)(^x.(a a)))(a ((^y.y) a))) 7. ==[ beta ]==> (((a a)(^x.(a a)))(a a)) REDUCED to normal form. ------ 45787/3171738. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^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. ------ 45788/3171747. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.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. ------ 45789/3171801. ------ 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. ------ 45790/3171855. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.(^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. ------ 45791/3171873. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (a a)) c)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a (a a)) c)) 3. ==[ beta ]==> (b ((a (a a)) c)) REDUCED to normal form. ------ 45792/3171882. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 45793/3171909. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 45794/3171945. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(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. ------ 45795/3171972. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(a ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(a ((a a) a))) REDUCED to normal form. ------ 45796/3171999. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y)(^z.z))(a a))) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(^y.y))(a a))) 5. ==[ beta ]==> ((a ((a a) a))((^y.y)(a a))) 6. ==[ alpha ]==> ((a ((a a) a))((^x.x)(a a))) 7. ==[ beta ]==> ((a ((a a) a))(a a)) REDUCED to normal form. ------ 45797/3172026. ------ 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. ------ 45798/3172053. ------ 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) a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> ((a (a a))(((^y.y) a)((^z.z) a))) 6. ==[ alpha ]==> ((a (a a))(((^x.x) 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. ------ 45799/3172080. ------ 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)))) REDUCED to normal form. ------ 45800/3172098. ------ 1. ==[ start ]==> (((^a.b) c)(b (^b.(^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. ------ 45801/3172107. ------ 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)))) 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. ------ 45802/3172197. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (((^y.y) a)(^z.a)) 6. ==[ alpha ]==> (((^x.x) a)(^y.a)) 7. ==[ beta ]==> (a (^y.a)) 8. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 45803/3172332. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 45804/3172341. ------ 1. ==[ start ]==> (((a b) c)((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a b) c)((^x.a)(^y.a))) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 45805/3172368. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(^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. ------ 45806/3172395. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(^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. ------ 45807/3172413. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z)) a)) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 45808/3172440. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1)) 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. ------ 45809/3172476. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(c (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(c (^z.a))) 3. ==[ beta ]==> ((a (^y.b))(c (^z.a))) 4. ==[ alpha ]==> ((a (^x.b))(c (^y.a))) REDUCED to normal form. ------ 45810/3172530. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(a (^b.(^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. ------ 45811/3172557. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(y y))(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((a a)(a a))) REDUCED to normal form. ------ 45812/3172575. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 45813/3172584. ------ 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) REDUCED to normal form. ------ 45814/3172611. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))((^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. ------ 45815/3172638. ------ 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. ------ 45816/3172728. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 45817/3172755. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(a (a (a a)))) REDUCED to normal form. ------ 45818/3172782. ------ 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. ------ 45819/3172809. ------ 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. ------ 45820/3172836. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a a)((^y.y) a))) 3. ==[ beta ]==> (((a b) a)((a a)((^y.y) a))) 4. ==[ alpha ]==> (((a b) a)((a a)((^x.x) a))) 5. ==[ beta ]==> (((a b) a)((a a) a)) REDUCED to normal form. ------ 45821/3172917. ------ 1. ==[ start ]==> ((a (b a))(b c)) REDUCED to normal form. ------ 45822/3173007. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a a) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a a) c)) 3. ==[ beta ]==> (((^y.b)(^y.b))((a a) c)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a a) c)) 5. ==[ beta ]==> (b ((a a) c)) REDUCED to normal form. ------ 45823/3173088. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.z) c)) 3. ==[ beta ]==> (b ((^z.z) c)) 4. ==[ alpha ]==> (b ((^x.x) c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 45824/3173151. ------ 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)(^x.x)) b)(a (^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(a (^y.y))) REDUCED to normal form. ------ 45825/3173196. ------ 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. ------ 45826/3173223. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> ((^y.y)((^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. ------ 45827/3173259. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(a (^a.(^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. ------ 45828/3173277. ------ 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 b)(a b))((a a)(^y.y))) 4. ==[ alpha ]==> (((a b)(a b))((a a)(^x.x))) REDUCED to normal form. ------ 45829/3173286. ------ 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. ------ 45830/3173340. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 45831/3173357. ------ 1. ==[ start ]==> (^a.((^a.b)(a (a a)))) 2. ==[ alpha ]==> (^x.((^y.b)(x (x x)))) 3. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 45832/3173358. ------ 1. ==[ start ]==> (a ((^a.b)(a (a a)))) 2. ==[ alpha ]==> (a ((^x.b)(a (a a)))) 3. ==[ beta ]==> (a b) REDUCED to normal form. ------ 45833/3174306. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^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. ------ 45834/3177702. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a))) c) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y))) c) REDUCED to normal form. ------ 45835/3177720. ------ 1. ==[ start ]==> (((^a.b)(a (a a))) a) 2. ==[ alpha ]==> (((^x.b)(a (a a))) a) 3. ==[ beta ]==> (b a) REDUCED to normal form. ------ 45836/3177726. ------ 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. ------ 45837/3177780. ------ 1. ==[ start ]==> ((^a.b)((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 45838/3177861. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(^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. ------ 45839/3177882. ------ 1. ==[ start ]==> (((a a) b)(^c.(^d.a))) 2. ==[ alpha ]==> (((a a) b)(^x.(^y.a))) REDUCED to normal form. ------ 45840/3178050. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1))(^y1.a))) 3. ==[ eta ]==> ((^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. ------ 45841/3178170. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^a.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.(b x1))) 3. ==[ eta ]==> (((^x.(^y.y))(a (^z.z))) b) 4. ==[ beta ]==> ((^y.y) b) 5. ==[ alpha ]==> ((^x.x) b) 6. ==[ beta ]==> b REDUCED to normal form. ------ 45842/3178221. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 45843/3178671. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^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. ------ 45844/3178674. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 45845/3179142. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.y)(^y1.((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (^y.((^z.z)(a a))) 6. ==[ alpha ]==> (^x.((^y.y)(a a))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 45846/3179367. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.(a a)))) REDUCED to normal form. ------ 45847/3179592. ------ 1. ==[ start ]==> ((((a a) a)(a a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 45848/3179790. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^c.(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(a b))) 3. ==[ beta ]==> (b (^z.(a b))) 4. ==[ alpha ]==> (b (^x.(a b))) REDUCED to normal form. ------ 45849/3179988. ------ 1. ==[ start ]==> (((a b)(^a.a))(^c.(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.b))) REDUCED to normal form. ------ 45850/3180186. ------ 1. ==[ start ]==> (((a b)(a a))(^b.(^a.b))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(^y.x))) REDUCED to normal form. ------ 45851/3180528. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^c.(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 45852/3180699. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.a))) REDUCED to normal form. ------ 45853/3180885. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((((^z.(^x1.x1))(a a))((^z.(^x1.x1))(a a)))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.y))(a a))((^z.(^x1.x1))(a a)))(^y1.y1)) 5. ==[ beta ]==> (((^y.y)((^z.(^x1.x1))(a a)))(^y1.y1)) 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)(^z.z)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 45854/3181140. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^y.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 45855/3181482. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 45856/3181590. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 45857/3181641. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ eta ]==> (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. ------ 45858/3181815. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (b (^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 45859/3181878. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 45860/3181950. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a 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))) REDUCED to normal form. ------ 45861/3181986. ------ 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. ------ 45862/3182013. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^c.(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 45863/3182067. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^b.a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 45864/3182085. ------ 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. ------ 45865/3182097. ------ 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. ------ 45866/3182115. ------ 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. ------ 45867/3182151. ------ 1. ==[ start ]==> ((a b)((^b.(^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. ------ 45868/3182169. ------ 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. ------ 45869/3182196. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.(a a)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(a a)))) 5. ==[ beta ]==> (b (a (^y.(a a)))) 6. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 45870/3182205. ------ 1. ==[ start ]==> (((a a)(a a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 45871/3182232. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(^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. ------ 45872/3182277. ------ 1. ==[ start ]==> (((a (^a.a)) a)((b a) a)) 2. ==[ alpha ]==> (((a (^x.x)) a)((b a) a)) REDUCED to normal form. ------ 45873/3182304. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z)) b)) REDUCED to normal form. ------ 45874/3182367. ------ 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. ------ 45875/3182421. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 45876/3182511. ------ 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. ------ 45877/3182538. ------ 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)(a (b a))) 4. ==[ alpha ]==> ((^x.x)(a (b a))) 5. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 45878/3182592. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.(x x)))((a a)(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 45879/3182700. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (a a))((a a) a))) 3. ==[ beta ]==> ((^y.(y y))((a (a a))((a a) a))) 4. ==[ alpha ]==> ((^x.(x x))((a (a a))((a a) a))) 5. ==[ beta ]==> (((a (a a))((a a) a))((a (a a))((a a) a))) REDUCED to normal form. ------ 45880/3182727. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 45881/3182781. ------ 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 ]==> (((^y.y)(^y.y))((a a)((a a)(^z.z)))) 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. ------ 45882/3182817. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 45883/3182844. ------ 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))(^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. ------ 45884/3182871. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a b)(^b.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. ------ 45885/3182898. ------ 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. ------ 45886/3182934. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 45887/3182961. ------ 1. ==[ start ]==> (((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) a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(z z))((a a) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))((a a) a))) 5. ==[ beta ]==> (((a (^x.x)) a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 45888/3182988. ------ 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. ------ 45889/3183006. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((b b)((a (^y.y))(^z.(a a)))) 4. ==[ alpha ]==> ((b b)((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 45890/3183015. ------ 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.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. ------ 45891/3183042. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^x.x))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 45892/3183267. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(b ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b ((^z.z)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(b (a a))) REDUCED to normal form. ------ 45893/3183510. ------ 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.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)((^y.y)(a a))) 6. ==[ alpha ]==> ((a a)((^x.x)(a a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 45894/3183600. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((a a) a)(^z.a))) 3. ==[ beta ]==> (((^y.y) b)(((a a) a)(^z.a))) 4. ==[ alpha ]==> (((^x.x) b)(((a a) a)(^y.a))) 5. ==[ beta ]==> (b (((a a) a)(^y.a))) 6. ==[ alpha ]==> (b (((a a) a)(^x.a))) REDUCED to normal form. ------ 45895/3183627. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(^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)))) 5. ==[ beta ]==> ((((a a) a) a)(^y.(y y))) 6. ==[ alpha ]==> ((((a a) a) a)(^x.(x x))) REDUCED to normal form. ------ 45896/3183681. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.a))) REDUCED to normal form. ------ 45897/3183708. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> ((a (^y.(y y)))((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 45898/3183735. ------ 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. ------ 45899/3183762. ------ 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)(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. ------ 45900/3183789. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a b) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a b) b)) REDUCED to normal form. ------ 45901/3183852. ------ 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.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 45902/3183879. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a (a a)))((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (a (a a)))(^y.y)) 8. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 45903/3183906. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a (a a)) a)((^y.a)(^z.a))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.a)(^y.a))) 5. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 45904/3183933. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(^y1.y1))(^z1.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. ------ 45905/3183960. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)(^y.(a a)))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.(a a))) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.(a a))) REDUCED to normal form. ------ 45906/3183978. ------ 1. ==[ start ]==> (((^a.b) a)((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.b) 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. ------ 45907/3183996. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a b)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a b)(a a))) 3. ==[ beta ]==> ((^y.b)((a b)(a a))) 4. ==[ alpha ]==> ((^x.b)((a b)(a a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 45908/3184077. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (a a))(a (a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (a a))(a (a a)))) IRREDUCIBLE: cycle. ------ 45909/3184158. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a a)(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a a)(a b))) 3. ==[ beta ]==> (b ((a a)(a b))) REDUCED to normal form. ------ 45910/3184194. ------ 1. ==[ start ]==> (((a a)(^a.b))((a b)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((a b)(^y.y))) REDUCED to normal form. ------ 45911/3184248. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 45912/3184275. ------ 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. ------ 45913/3184302. ------ 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.(^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. ------ 45914/3184356. ------ 1. ==[ start ]==> (((a b)(^a.a))((a a)(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.x))((a a)(^y.b))) REDUCED to normal form. ------ 45915/3184392. ------ 1. ==[ start ]==> (((a a)(a b))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.b)(^y.y))) 3. ==[ beta ]==> (((a a)(a b)) b) REDUCED to normal form. ------ 45916/3184446. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.(^a.a))(^b.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. ------ 45917/3184473. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(x x))(^y.(y y)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(y y))(^y.(y y)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 45918/3184500. ------ 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.(^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. ------ 45919/3184554. ------ 1. ==[ start ]==> (((a b)(a a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a b)(a a))((^x.x)(^y.b))) 3. ==[ beta ]==> (((a b)(a a))(^y.b)) 4. ==[ alpha ]==> (((a b)(a a))(^x.b)) REDUCED to normal form. ------ 45920/3184590. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((a a) a)(a a))) 3. ==[ beta ]==> ((^y.(a a))(((a a) a)(a a))) 4. ==[ alpha ]==> ((^x.(a a))(((a a) a)(a a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 45921/3184617. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a (^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.z))) 7. ==[ beta ]==> ((^y.y)(a (^z.z))) 8. ==[ alpha ]==> ((^x.x)(a (^y.y))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 45922/3184671. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) a)(a (a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(a (a a)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(a (a a)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (a a)))) 7. ==[ beta ]==> (((^y.y) a)(a (a a))) 8. ==[ alpha ]==> (((^x.x) a)(a (a a))) 9. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 45923/3184761. ------ 1. ==[ start ]==> (((a b) b)(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a b) b)(((a a) a)(^x.x))) REDUCED to normal form. ------ 45924/3184788. ------ 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.(^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. ------ 45925/3184815. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (a a))(^y.a))) REDUCED to normal form. ------ 45926/3184842. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(a (^z.(z z)))) REDUCED to normal form. ------ 45927/3184896. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a a)(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 45928/3184923. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((a a) a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((a a) a) a)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((a a) a) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a) a) a)) 5. ==[ beta ]==> ((^y.(y y))(((a a) a) a)) 6. ==[ alpha ]==> ((^x.(x x))(((a a) a) a)) 7. ==[ beta ]==> ((((a a) a) a)(((a a) a) a)) REDUCED to normal form. ------ 45929/3184950. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> ((((a a) a)(^x.a))((^z.z) b)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y) b)) 5. ==[ beta ]==> ((((a a) a)(^x.a)) b) REDUCED to normal form. ------ 45930/3184977. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a (a a)) c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (a a)) c)) REDUCED to normal form. ------ 45931/3185040. ------ 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.(^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. ------ 45932/3185067. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.a)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.a)) REDUCED to normal form. ------ 45933/3185202. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 45934/3185256. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 45935/3185436. ------ 1. ==[ start ]==> (((a b) c)(((^a.a) a) c)) 2. ==[ alpha ]==> (((a b) c)(((^x.x) a) c)) 3. ==[ beta ]==> (((a b) c)(a c)) REDUCED to normal form. ------ 45936/3185508. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.x))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 45937/3185535. ------ 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))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a a))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 45938/3185544. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(z z)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(b b)) REDUCED to normal form. ------ 45939/3185571. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.a) c)) 3. ==[ beta ]==> ((a (^y.b))((^z.a) c)) 4. ==[ alpha ]==> ((a (^x.b))((^y.a) c)) 5. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 45940/3185589. ------ 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))((a (^y.y))((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a (^x.x))((^y.y) a))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((a (^x.x)) a)) REDUCED to normal form. ------ 45941/3185652. ------ 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. ------ 45942/3185679. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 45943/3185706. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (^x1.x1))(^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. ------ 45944/3185733. ------ 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 z)))) REDUCED to normal form. ------ 45945/3185769. ------ 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))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((^z.z)(^z.z))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 45946/3185796. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 45947/3185823. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (a b))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 45948/3185850. ------ 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)))) 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. ------ 45949/3185931. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(b (^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(b (^y.a))) 3. ==[ beta ]==> (((a b) a)(b (^y.a))) 4. ==[ alpha ]==> (((a b) a)(b (^x.a))) REDUCED to normal form. ------ 45950/3185958. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(a (^z.(z z)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(a (^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(a (^y.(y y)))) REDUCED to normal form. ------ 45951/3185985. ------ 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) REDUCED to normal form. ------ 45952/3186012. ------ 1. ==[ start ]==> ((a (b a))((^a.(^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. ------ 45953/3186102. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(b (a (^z.z)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(b (a (^z.z)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(b (a (^z.z)))) 5. ==[ beta ]==> (b (b (a (^z.z)))) 6. ==[ alpha ]==> (b (b (a (^x.x)))) REDUCED to normal form. ------ 45954/3186183. ------ 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. ------ 45955/3186246. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 45956/3186291. ------ 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. ------ 45957/3186318. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a 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. ------ 45958/3186354. ------ 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. ------ 45959/3186372. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(b a)) 2. ==[ alpha ]==> (((^x.(x x))(a b))(b a)) 3. ==[ beta ]==> (((a b)(a b))(b a)) REDUCED to normal form. ------ 45960/3186381. ------ 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. ------ 45961/3186435. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.a) 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. ------ 45962/3186453. ------ 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. ------ 45963/3186461. ------ 1. ==[ start ]==> (^a.((a b)(^a.(a a)))) 2. ==[ alpha ]==> (^x.((x b)(^y.(y y)))) REDUCED to normal form. ------ 45964/3186462. ------ 1. ==[ start ]==> (a ((a b)(^a.(a a)))) 2. ==[ alpha ]==> (a ((a b)(^x.(x x)))) REDUCED to normal form. ------ 45965/3188742. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^b.(a b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(a z))) 3. ==[ eta ]==> ((^x.(^y.(x x))) a) 4. ==[ beta ]==> (^y.(a a)) 5. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 45966/3190824. ------ 1. ==[ start ]==> (((^a.b)(a (a a))) b) 2. ==[ alpha ]==> (((^x.b)(a (a a))) b) 3. ==[ beta ]==> (b b) REDUCED to normal form. ------ 45967/3190833. ------ 1. ==[ start ]==> (((a b)(^a.(a a))) a) 2. ==[ alpha ]==> (((a b)(^x.(x x))) a) REDUCED to normal form. ------ 45968/3190839. ------ 1. ==[ start ]==> ((^a.a)((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.x)((a b)(^y.(y y)))) 3. ==[ beta ]==> ((a b)(^y.(y y))) 4. ==[ alpha ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 45969/3190848. ------ 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. ------ 45970/3190866. ------ 1. ==[ start ]==> ((^a.(a a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((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)))) REDUCED to normal form. ------ 45971/3190893. ------ 1. ==[ start ]==> ((^a.b)(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 45972/3190929. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))(a b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 45973/3191013. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^b.(b 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)) REDUCED to normal form. ------ 45974/3191091. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (^y.((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> (^x.((^y.(a a))(^z.a))) 5. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 45975/3191292. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(b x1))) 3. ==[ eta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 45976/3191658. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.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. ------ 45977/3191796. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^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. ------ 45978/3192048. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.((x1 x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.((x1 x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((z z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.((z z)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(^y.((y y)(^z.z)))) 7. ==[ beta ]==> (^y.((y y)(^z.z))) 8. ==[ alpha ]==> (^x.((x x)(^y.y))) REDUCED to normal form. ------ 45979/3192549. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 45980/3192723. ------ 1. ==[ start ]==> (((^a.b) a)(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 45981/3192729. ------ 1. ==[ start ]==> ((^a.(a b))((^b.(a a)) a)) 2. ==[ alpha ]==> ((^x.(x b))((^y.(a a)) a)) 3. ==[ beta ]==> (((^y.(a a)) a) b) 4. ==[ alpha ]==> (((^x.(a a)) a) b) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 45982/3192912. ------ 1. ==[ start ]==> (((a b) a)(^c.(a b))) 2. ==[ alpha ]==> (((a b) a)(^x.(a b))) REDUCED to normal form. ------ 45983/3192930. ------ 1. ==[ start ]==> (((^a.a)(a b))(^a.(^b.(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. ------ 45984/3193116. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.z)(a b))) 3. ==[ beta ]==> (^y.(((^z.z)(a b))((^z.z)(a b)))) 4. ==[ alpha ]==> (^x.(((^y.y)(a b))((^z.z)(a b)))) 5. ==[ beta ]==> (^x.((a b)((^z.z)(a b)))) 6. ==[ alpha ]==> (^x.((a b)((^y.y)(a b)))) 7. ==[ beta ]==> (^x.((a b)(a b))) REDUCED to normal form. ------ 45985/3193119. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^b.(a b))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(a y))) 3. ==[ eta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 45986/3193323. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.b) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.b) a)) 3. ==[ beta ]==> ((^y.y)(((^z.b) a)((^z.b) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.b) a)((^z.b) a))) 5. ==[ beta ]==> (((^y.b) a)((^z.b) a)) 6. ==[ alpha ]==> (((^x.b) a)((^y.b) a)) 7. ==[ beta ]==> (b ((^y.b) a)) 8. ==[ alpha ]==> (b ((^x.b) a)) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 45987/3193497. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 45988/3193998. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((((^z.z)(^x1.x1))(^y1.y1))(((^z.z)(^x1.x1))(^y1.y1)))(^y.y)) 4. ==[ alpha ]==> (((((^x.x)(^y.y))(^z.z))(((^x1.x1)(^y1.y1))(^z1.z1)))(^x2.x2)) 5. ==[ beta ]==> ((((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(^z1.z1)))(^x2.x2)) 6. ==[ alpha ]==> ((((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.y1)))(^z1.z1)) 7. ==[ beta ]==> (((^y.y)(((^z.z)(^x1.x1))(^y1.y1)))(^z1.z1)) 8. ==[ alpha ]==> (((^x.x)(((^y.y)(^z.z))(^x1.x1)))(^y1.y1)) 9. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.x1))(^y1.y1)) 10. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.x1)) 11. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 12. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 13. ==[ beta ]==> ((^y.y)(^z.z)) 14. ==[ alpha ]==> ((^x.x)(^y.y)) 15. ==[ beta ]==> (^y.y) 16. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 45989/3194253. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^b.(^b.(^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. ------ 45990/3194370. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^c.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(a (a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 45991/3194754. ------ 1. ==[ start ]==> ((^a.(b a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ eta ]==> (b ((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 45992/3195063. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(^b.(^a.(^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. ------ 45993/3195099. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^c.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(a a))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(a a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(a a))) REDUCED to normal form. ------ 45994/3195117. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^a.(^a.(^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. ------ 45995/3195180. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 45996/3195198. ------ 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. ------ 45997/3195207. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^a.a)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 45998/3195219. ------ 1. ==[ start ]==> ((a a)((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((a a)((a b)(^x.(x x)))) REDUCED to normal form. ------ 45999/3195228. ------ 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. ------ 46000/3195246. ------ 1. ==[ start ]==> ((a (a a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 46001/3195273. ------ 1. ==[ start ]==> ((a b)(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a b)(((^x.x)(^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. ------ 46002/3195282. ------ 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))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 46003/3195309. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(a b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a b)(a b))) REDUCED to normal form. ------ 46004/3195327. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x) 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. ------ 46005/3195363. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^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. ------ 46006/3195390. ------ 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. ------ 46007/3195471. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 46008/3195552. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 46009/3195579. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.b))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.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. ------ 46010/3195642. ------ 1. ==[ start ]==> (((a a)(^b.a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 46011/3195669. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(a (b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (b a))) REDUCED to normal form. ------ 46012/3195696. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 46013/3195732. ------ 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) 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. ------ 46014/3195804. ------ 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)(^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)((^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. ------ 46015/3195885. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a b)((a (^y.y))((^z.z)(a a)))) 4. ==[ alpha ]==> ((a b)((a (^x.x))((^y.y)(a a)))) 5. ==[ beta ]==> ((a b)((a (^x.x))(a a))) REDUCED to normal form. ------ 46016/3195903. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(b (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 46017/3195912. ------ 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. ------ 46018/3196011. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(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. ------ 46019/3196038. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(a (a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 46020/3196056. ------ 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)))((^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. ------ 46021/3196110. ------ 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. ------ 46022/3196137. ------ 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)))) REDUCED to normal form. ------ 46023/3196173. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 46024/3196254. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.b)(^b.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. ------ 46025/3196308. ------ 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.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 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. ------ 46026/3196371. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(c (a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(c (a b))) 3. ==[ beta ]==> ((a (^y.a))(c (a b))) 4. ==[ alpha ]==> ((a (^x.a))(c (a b))) REDUCED to normal form. ------ 46027/3196389. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(^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. ------ 46028/3196398. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(b (a a))) REDUCED to normal form. ------ 46029/3196425. ------ 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. ------ 46030/3196461. ------ 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)(^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. ------ 46031/3196488. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.b) c)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.b) c)) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) b) REDUCED to normal form. ------ 46032/3196632. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(b (^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 46033/3196686. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(a a))(a a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(a a))(a a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(a a))(a a))) 5. ==[ beta ]==> (a ((^z.(a a))(a a))) 6. ==[ alpha ]==> (a ((^x.(a a))(a a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 46034/3196767. ------ 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. ------ 46035/3196794. ------ 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)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.z))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^y.y)(^z.z))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 11. ==[ beta ]==> ((^y.y)(^z.z)) 12. ==[ alpha ]==> ((^x.x)(^y.y)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 46036/3196848. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.(^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. ------ 46037/3196929. ------ 1. ==[ start ]==> ((a (^a.b))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 46038/3197100. ------ 1. ==[ start ]==> (((^a.b) a)(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 46039/3197109. ------ 1. ==[ start ]==> ((a (a b))((^b.(a a)) a)) 2. ==[ alpha ]==> ((a (a b))((^x.(a a)) a)) 3. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 46040/3197262. ------ 1. ==[ start ]==> ((((a a) a) b)((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a) b)((a (^x.x))((a a) a))) REDUCED to normal form. ------ 46041/3197280. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(b (^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(b (^z.b))) 3. ==[ beta ]==> (b (b (^z.b))) 4. ==[ alpha ]==> (b (b (^x.b))) REDUCED to normal form. ------ 46042/3197289. ------ 1. ==[ start ]==> (((a b) a)((a a)(a b))) REDUCED to normal form. ------ 46043/3197307. ------ 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. ------ 46044/3197334. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) 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. ------ 46045/3197388. ------ 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))((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))((^z.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. ------ 46046/3197469. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(^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. ------ 46047/3197496. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(a b))) 3. ==[ beta ]==> ((a (^x.(a a)))(a b)) REDUCED to normal form. ------ 46048/3197514. ------ 1. ==[ start ]==> (((a a)(a b))((a b) a)) REDUCED to normal form. ------ 46049/3197541. ------ 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. ------ 46050/3197667. ------ 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. ------ 46051/3197703. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.b) a)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.b) a)) 3. ==[ beta ]==> ((a (a a))((^y.b) a)) 4. ==[ alpha ]==> ((a (a a))((^x.b) a)) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 46052/3197874. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 46053/3197928. ------ 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 (^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)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 46054/3197955. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 46055/3198009. ------ 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)(^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. ------ 46056/3198090. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.(^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. ------ 46057/3198243. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(^x1.x1)) 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. ------ 46058/3198315. ------ 1. ==[ start ]==> (((^a.b) c)((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b) c)((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. ------ 46059/3198378. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(^z.z))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 46060/3198414. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(a (^y1.y1)))) 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. ------ 46061/3198549. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 46062/3198558. ------ 1. ==[ start ]==> (((a b) c)(d (a (^a.a)))) 2. ==[ alpha ]==> (((a b) c)(d (a (^x.x)))) REDUCED to normal form. ------ 46063/3198585. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(c ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 46064/3198612. ------ 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. ------ 46065/3198630. ------ 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)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 46066/3198666. ------ 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. ------ 46067/3198693. ------ 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. ------ 46068/3198747. ------ 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 (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(a (a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(a (a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 46069/3198792. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 46070/3198891. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a (a a)) a)) REDUCED to normal form. ------ 46071/3198918. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((^z.z) a) b)) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z) a) b)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) a) b)) 5. ==[ beta ]==> (((a (^x.x))(a a))(a b)) REDUCED to normal form. ------ 46072/3198945. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a (^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 46073/3198999. ------ 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 y1)) a)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1)) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1)) a)) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1)) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z)) a)) 7. ==[ beta ]==> ((^y.y)((^z.(z z)) a)) 8. ==[ alpha ]==> ((^x.x)((^y.(y y)) a)) 9. ==[ beta ]==> ((^y.(y y)) a) 10. ==[ alpha ]==> ((^x.(x x)) a) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 46074/3199026. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^b.a) b)) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.a) b)) 3. ==[ beta ]==> ((((a a) a)(a (a a))) a) REDUCED to normal form. ------ 46075/3199053. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 46076/3199107. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((^y.y) 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. ------ 46077/3199134. ------ 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. ------ 46078/3199224. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(^a.a))(^a.(^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. ------ 46079/3199305. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 46080/3199368. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(b b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(b b)) REDUCED to normal form. ------ 46081/3199413. ------ 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. ------ 46082/3199440. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 46083/3199476. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a a)(a a))) 3. ==[ beta ]==> ((a (^y.(a a)))((a a)(a a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a a)(a a))) REDUCED to normal form. ------ 46084/3199494. ------ 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 b)(a b))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))(a (^x.(^y.y)))) REDUCED to normal form. ------ 46085/3199503. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(b a)) 2. ==[ alpha ]==> (((a (a a))(^x.b))(b a)) REDUCED to normal form. ------ 46086/3199557. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(a (a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 46087/3199575. ------ 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. ------ 46088/3199584. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(a a)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(a a)) REDUCED to normal form. ------ 46089/3201486. ------ 1. ==[ start ]==> ((^a.(a b))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x b))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> ((^y.((^z.z)(y y))) b) 4. ==[ alpha ]==> ((^x.((^y.y)(x x))) b) 5. ==[ beta ]==> ((^y.y)(b b)) 6. ==[ alpha ]==> ((^x.x)(b b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 46090/3201873. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^c.(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(^x1.b))) 3. ==[ beta ]==> (^y.((^z.(^x1.b))(^z.(^x1.b)))) 4. ==[ alpha ]==> (^x.((^y.(^z.b))(^x1.(^y1.b)))) 5. ==[ beta ]==> (^x.(^z.b)) 6. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 46091/3202080. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^a.(a b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.(z b))) 3. ==[ beta ]==> ((^y.y)((^z.(z b))(^z.(z b)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y b))(^z.(z b)))) 5. ==[ beta ]==> ((^y.(y b))(^z.(z b))) 6. ==[ alpha ]==> ((^x.(x b))(^y.(y b))) 7. ==[ beta ]==> ((^y.(y b)) b) 8. ==[ alpha ]==> ((^x.(x b)) b) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 46092/3203955. ------ 1. ==[ start ]==> (((^a.b)(a (a a))) c) 2. ==[ alpha ]==> (((^x.b)(a (a a))) c) 3. ==[ beta ]==> (b c) REDUCED to normal form. ------ 46093/3203964. ------ 1. ==[ start ]==> (((a b)(^a.(a a))) b) 2. ==[ alpha ]==> (((a b)(^x.(x x))) b) REDUCED to normal form. ------ 46094/3203988. ------ 1. ==[ start ]==> ((^a.(^a.a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.(z z)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 46095/3204069. ------ 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. ------ 46096/3204162. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^b.(b a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.(y a))) REDUCED to normal form. ------ 46097/3204231. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z)(a a)) c)) 3. ==[ beta ]==> (^y.(((^z.z)(a a)) c)) 4. ==[ alpha ]==> (^x.(((^y.y)(a a)) c)) 5. ==[ beta ]==> (^x.((a a) c)) REDUCED to normal form. ------ 46098/3204573. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^x1.x1)(^y1.y1)))((((^y.y)(^z.z))((^x1.x1)(^y1.y1)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1))))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2)))(((^z2.z2)(^x3.x3))((^y3.y3)(^z3.z3))))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2)))(((^z2.z2)(^x3.x3))((^y3.y3)(^z3.z3))))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))(((^y2.y2)(^z2.z2))((^x3.x3)(^y3.y3))))) 7. ==[ beta ]==> (((^y.y)(^z.z))((((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))(((^y2.y2)(^z2.z2))((^x3.x3)(^y3.y3))))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))(((^x2.x2)(^y2.y2))((^z2.z2)(^x3.x3))))) 9. ==[ beta ]==> ((^y.y)((((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))(((^x2.x2)(^y2.y2))((^z2.z2)(^x3.x3))))) 10. ==[ alpha ]==> ((^x.x)((((^y.y)(^z.z))((^x1.x1)(^y1.y1)))(((^z1.z1)(^x2.x2))((^y2.y2)(^z2.z2))))) 11. ==[ beta ]==> ((((^y.y)(^z.z))((^x1.x1)(^y1.y1)))(((^z1.z1)(^x2.x2))((^y2.y2)(^z2.z2)))) 12. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2)))) 13. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2)))) 14. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 15. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 16. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 17. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 18. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 19. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.y1))) 20. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 21. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 22. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 23. ==[ beta ]==> ((^y.y)(^z.z)) 24. ==[ alpha ]==> ((^x.x)(^y.y)) 25. ==[ beta ]==> (^y.y) 26. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 46099/3204798. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 46100/3204936. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 46101/3205188. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 46102/3205356. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> (((((^y.y) a)((a a) a))(((^y.y) a)((a a) a)))(((^y.y) a)((a a) a))) 4. ==[ alpha ]==> (((((^x.x) a)((a a) a))(((^y.y) a)((a a) a)))(((^z.z) a)((a a) a))) 5. ==[ beta ]==> (((a ((a a) a))(((^y.y) a)((a a) a)))(((^z.z) a)((a a) a))) 6. ==[ alpha ]==> (((a ((a a) a))(((^x.x) a)((a a) a)))(((^y.y) a)((a a) a))) 7. ==[ beta ]==> (((a ((a a) a))(a ((a a) a)))(((^y.y) a)((a a) a))) 8. ==[ alpha ]==> (((a ((a a) a))(a ((a a) a)))(((^x.x) a)((a a) a))) 9. ==[ beta ]==> (((a ((a a) a))(a ((a a) a)))(a ((a a) a))) REDUCED to normal form. ------ 46103/3205647. ------ 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.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. ------ 46104/3205689. ------ 1. ==[ start ]==> ((^a.(^a.b))((a b) b)) 2. ==[ alpha ]==> ((^x.(^y.b))((a b) b)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 46105/3205863. ------ 1. ==[ start ]==> (((^a.b) a)(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(^z.(a a)))) 3. ==[ beta ]==> (b (^y.(^z.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 46106/3205869. ------ 1. ==[ start ]==> ((^a.(a b))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x b))(a ((^y.y)(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(a a))) b) 4. ==[ alpha ]==> ((a ((^x.x)(a a))) b) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 46107/3205872. ------ 1. ==[ start ]==> ((a (a b))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a b))(^x.((^y.y)(x x)))) 3. ==[ beta ]==> ((a (a b))(^x.(x x))) REDUCED to normal form. ------ 46108/3206079. ------ 1. ==[ start ]==> (((a a)(^a.b))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.(y y)))) REDUCED to normal form. ------ 46109/3206256. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a a)(^z.b))) 3. ==[ beta ]==> (^y.(((a a)(^z.b))((a a)(^z.b)))) 4. ==[ alpha ]==> (^x.(((a a)(^y.b))((a a)(^z.b)))) REDUCED to normal form. ------ 46110/3206259. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^c.(^a.b))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.b))) REDUCED to normal form. ------ 46111/3206463. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(a (a b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(a (a b))) 3. ==[ beta ]==> ((^y.y)((a (a b))(a (a b)))) 4. ==[ alpha ]==> ((^x.x)((a (a b))(a (a b)))) 5. ==[ beta ]==> ((a (a b))(a (a b))) REDUCED to normal form. ------ 46112/3206466. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^a.(a b))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(y b))) 3. ==[ beta ]==> ((a (a a))(^y.(y b))) 4. ==[ alpha ]==> ((a (a a))(^x.(x b))) REDUCED to normal form. ------ 46113/3206646. ------ 1. ==[ start ]==> (((a b) b)(^a.(^a.b))) 2. ==[ alpha ]==> (((a b) b)(^x.(^y.b))) REDUCED to normal form. ------ 46114/3206808. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.((a a) a))) 5. ==[ beta ]==> ((^y.(y y))(^z.((a a) a))) 6. ==[ alpha ]==> ((^x.(x x))(^y.((a a) a))) 7. ==[ beta ]==> ((^y.((a a) a))(^y.((a a) a))) 8. ==[ alpha ]==> ((^x.((a a) a))(^y.((a a) a))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 46115/3206979. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(^y.((y y) y))) 3. ==[ beta ]==> ((a ((a a) a))(^y.((y y) y))) 4. ==[ alpha ]==> ((a ((a a) a))(^x.((x x) x))) REDUCED to normal form. ------ 46116/3207537. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 46117/3207762. ------ 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 (y1 y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(y1 (y1 y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(x1 (x1 x1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 (x1 x1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z (z z)))) 7. ==[ beta ]==> ((^y.y)(^z.(z (z z)))) 8. ==[ alpha ]==> ((^x.x)(^y.(y (y y)))) 9. ==[ beta ]==> (^y.(y (y y))) 10. ==[ alpha ]==> (^x.(x (x x))) REDUCED to normal form. ------ 46118/3207894. ------ 1. ==[ start ]==> ((^a.(b a))(c b)) 2. ==[ alpha ]==> ((^x.(b x))(c b)) 3. ==[ eta ]==> (b (c b)) REDUCED to normal form. ------ 46119/3208257. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^b.b)) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.y)) 3. ==[ beta ]==> (((a b)(a b))(^y.y)) 4. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 46120/3208266. ------ 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. ------ 46121/3208320. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 46122/3208338. ------ 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. ------ 46123/3208347. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 46124/3208377. ------ 1. ==[ start ]==> ((a (^a.a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((a b)(^y.(y y)))) REDUCED to normal form. ------ 46125/3208386. ------ 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. ------ 46126/3208404. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((a a) a)(^b.(^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. ------ 46127/3208440. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 46128/3208458. ------ 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. ------ 46129/3208467. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(y y))(a b))) 3. ==[ beta ]==> (b ((^y.(y y))(a b))) 4. ==[ alpha ]==> (b ((^x.(x x))(a b))) 5. ==[ beta ]==> (b ((a b)(a b))) REDUCED to normal form. ------ 46130/3208494. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 46131/3208521. ------ 1. ==[ start ]==> (((a a) b)((^a.(^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. ------ 46132/3208548. ------ 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. ------ 46133/3208566. ------ 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)) REDUCED to normal form. ------ 46134/3208593. ------ 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) REDUCED to normal form. ------ 46135/3208620. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y)(a a)) c)) 3. ==[ beta ]==> ((a (^x.a))((a a) c)) REDUCED to normal form. ------ 46136/3208656. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 46137/3208737. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(y y))(^z.b))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.b)(^z.b))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.b)(^z.b))) 5. ==[ beta ]==> (((a (^x.x)) b) b) REDUCED to normal form. ------ 46138/3208764. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.(a a)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 46139/3208791. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^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. ------ 46140/3208881. ------ 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) 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. ------ 46141/3208908. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a b)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a b) a)) REDUCED to normal form. ------ 46142/3208935. ------ 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. ------ 46143/3208962. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.x)((^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. ------ 46144/3209034. ------ 1. ==[ start ]==> ((((^a.a) a) b)(c (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(c (^y.(a a)))) 3. ==[ beta ]==> ((a b)(c (^y.(a a)))) 4. ==[ alpha ]==> ((a b)(c (^x.(a a)))) REDUCED to normal form. ------ 46145/3209061. ------ 1. ==[ start ]==> (((a (a a)) a)(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 46146/3209106. ------ 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))(^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. ------ 46147/3209115. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 46148/3209142. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(a a))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 46149/3209160. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a b)(^b.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. ------ 46150/3209169. ------ 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. ------ 46151/3209187. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)(^z.(z z)))) REDUCED to normal form. ------ 46152/3209277. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.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. ------ 46153/3209322. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 46154/3209349. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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) REDUCED to normal form. ------ 46155/3209403. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a b) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a b) c)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a b) c)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b) c)) 5. ==[ beta ]==> ((^y.y)((a b) c)) 6. ==[ alpha ]==> ((^x.x)((a b) c)) 7. ==[ beta ]==> ((a b) c) REDUCED to normal form. ------ 46156/3209412. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.b)(^y.a))) 3. ==[ beta ]==> (((a (a a)) b) b) REDUCED to normal form. ------ 46157/3209466. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.(^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. ------ 46158/3209520. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.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. ------ 46159/3209547. ------ 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.(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. ------ 46160/3209610. ------ 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)(^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. ------ 46161/3209637. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a b)(a (^y.y)))) REDUCED to normal form. ------ 46162/3209664. ------ 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.z) a))) 3. ==[ beta ]==> ((a ((^y.y) a))(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> ((a ((^x.x) 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))) 7. ==[ beta ]==> ((a a)(((a a) a) a)) REDUCED to normal form. ------ 46163/3209691. ------ 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. ------ 46164/3209718. ------ 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. ------ 46165/3209745. ------ 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. ------ 46166/3209835. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z)(a a))(^x1.x1))) 5. ==[ beta ]==> (a (((^z.z)(a a))(^x1.x1))) 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. ------ 46167/3209871. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.b)(a (^z.z)))) 5. ==[ beta ]==> (b ((^y.b)(a (^z.z)))) 6. ==[ alpha ]==> (b ((^x.b)(a (^y.y)))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 46168/3209916. ------ 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 x1)))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(^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)))) 7. ==[ beta ]==> (((a a) a)(^y.(y y))) 8. ==[ alpha ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 46169/3209943. ------ 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.(^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. ------ 46170/3209952. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(((^y1.y1)(^z1.z1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)(^z1.z1))) 8. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.y1))) 9. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 10. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 46171/3209979. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.a)((a a) a))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.a)((a a) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)((a a) a))) 5. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 46172/3209997. ------ 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)((^y.y) a))((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.z))(^x1.b))) 5. ==[ beta ]==> ((a ((^y.y) a))((a (^z.z))(^x1.b))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))(^z.b))) 7. ==[ beta ]==> ((a a)((a (^y.y))(^z.b))) 8. ==[ alpha ]==> ((a a)((a (^x.x))(^y.b))) REDUCED to normal form. ------ 46173/3210006. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(^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. ------ 46174/3210033. ------ 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.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. ------ 46175/3210060. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form. ------ 46176/3210078. ------ 1. ==[ start ]==> ((a (^a.b))((a b) b)) 2. ==[ alpha ]==> ((a (^x.b))((a b) b)) REDUCED to normal form. ------ 46177/3210231. ------ 1. ==[ start ]==> ((((a a) a)(a a))(b (a b))) REDUCED to normal form. ------ 46178/3210249. ------ 1. ==[ start ]==> (((^a.b) a)((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 46179/3210258. ------ 1. ==[ start ]==> ((a (a b))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a b))(a ((^x.x)(a a)))) 3. ==[ beta ]==> ((a (a b))(a (a a))) REDUCED to normal form. ------ 46180/3210267. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(a a)) a)) 3. ==[ beta ]==> ((^y.b)((^z.(a a)) a)) 4. ==[ alpha ]==> ((^x.b)((^y.(a a)) a)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 46181/3210411. ------ 1. ==[ start ]==> ((((a a) a) b)(c (^c.a))) 2. ==[ alpha ]==> ((((a a) a) b)(c (^x.a))) REDUCED to normal form. ------ 46182/3210438. ------ 1. ==[ start ]==> (((a b) a)(b (^a.b))) 2. ==[ alpha ]==> (((a b) a)(b (^x.b))) REDUCED to normal form. ------ 46183/3210465. ------ 1. ==[ start ]==> (((a a)(^a.b))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(a (^y.(a a)))) REDUCED to normal form. ------ 46184/3210483. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a b)(^z.z))) 3. ==[ beta ]==> ((^y.y)((a b)(^z.z))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.y))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 46185/3210519. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 46186/3210537. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)(^z.a))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)(^y.a))) 7. ==[ beta ]==> (((a (a a))(a (a a)))(^y.a)) 8. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.a)) REDUCED to normal form. ------ 46187/3210546. ------ 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) 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. ------ 46188/3210573. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(x1 x1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(x1 x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))(a (a a)))) 5. ==[ beta ]==> ((^y.a)((^z.(z z))(a (a a)))) 6. ==[ alpha ]==> ((^x.a)((^y.(y y))(a (a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 46189/3210600. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 46190/3210618. ------ 1. ==[ start ]==> (((^a.b)(a a))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 46191/3210627. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 46192/3210645. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a a)(^y.b))) REDUCED to normal form. ------ 46193/3210816. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(^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. ------ 46194/3210825. ------ 1. ==[ start ]==> (((a b)(a a))(b ((a a) a))) REDUCED to normal form. ------ 46195/3210852. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(a (a b))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(a (a b))) 3. ==[ beta ]==> ((a (a a))(a (a b))) REDUCED to normal form. ------ 46196/3210861. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.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. ------ 46197/3210888. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^c.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.a) b)) 3. ==[ beta ]==> ((^y.y)((^x1.a) b)) 4. ==[ alpha ]==> ((^x.x)((^y.a) b)) 5. ==[ beta ]==> ((^y.a) b) 6. ==[ alpha ]==> ((^x.a) b) 7. ==[ beta ]==> a REDUCED to normal form. ------ 46198/3211032. ------ 1. ==[ start ]==> (((a b) b)(a (^a.b))) 2. ==[ alpha ]==> (((a b) b)(a (^x.b))) REDUCED to normal form. ------ 46199/3211077. ------ 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))(^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. ------ 46200/3211086. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.(^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. ------ 46201/3211104. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (a a))(^b.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. ------ 46202/3211113. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(((^x1.x1) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.b))(a ((^x1.x1) a))) 6. ==[ alpha ]==> (((a (^x.x))(^y.b))(a ((^z.z) a))) 7. ==[ beta ]==> (((a (^x.x))(^y.b))(a a)) REDUCED to normal form. ------ 46203/3211158. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.y1))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(^y1.y1)))) 10. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.x1)))) 11. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 12. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 46204/3211167. ------ 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)(^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. ------ 46205/3211194. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.x1)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)((a a) a))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)((a a) a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)((a a) a))) 7. ==[ beta ]==> (((^y.y)((a a) a))((^y.y)((a a) a))) 8. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y)((a a) a))) 9. ==[ beta ]==> (((a a) a)((^y.y)((a a) a))) 10. ==[ alpha ]==> (((a a) a)((^x.x)((a a) a))) 11. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 46206/3211221. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.a)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 46207/3211239. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) b)) 5. ==[ beta ]==> (b ((^y.y) b)) 6. ==[ alpha ]==> (b ((^x.x) b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 46208/3211248. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 46209/3211275. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.a))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.a)(^z.a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.a))) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 46210/3211338. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(b (^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a b))(b (^y.y))) REDUCED to normal form. ------ 46211/3211365. ------ 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. ------ 46212/3211392. ------ 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. ------ 46213/3211419. ------ 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. ------ 46214/3211446. ------ 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.z) a))) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y) a)((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x) 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. ------ 46215/3211464. ------ 1. ==[ start ]==> (((^a.b) c)(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)(c (^y.(y y)))) 3. ==[ beta ]==> (b (c (^y.(y y)))) 4. ==[ alpha ]==> (b (c (^x.(x x)))) REDUCED to normal form. ------ 46216/3211473. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 46217/3211500. ------ 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. ------ 46218/3211563. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^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. ------ 46219/3211698. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (a a)) b)) 3. ==[ beta ]==> (b ((a (a a)) b)) REDUCED to normal form. ------ 46220/3211707. ------ 1. ==[ start ]==> (((a b) c)((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) c)((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b) c)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b) c)(^y.y)) 6. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 46221/3211734. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.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. ------ 46222/3211761. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 46223/3211806. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 46224/3211860. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.a) c)) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.a) c)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.a) c)) 5. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 46225/3211896. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(b (^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(b (^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(b (^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(z z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 46226/3211923. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 46227/3211941. ------ 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. ------ 46228/3211950. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 46229/3211977. ------ 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) REDUCED to normal form. ------ 46230/3212004. ------ 1. ==[ start ]==> ((((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))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 46231/3212094. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(c (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 46232/3212121. ------ 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. ------ 46233/3212148. ------ 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 (a (a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(a (a (a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a (a (a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a (a (a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a (a (a a)))) 7. ==[ beta ]==> ((^y.y)(a (a (a a)))) 8. ==[ alpha ]==> ((^x.x)(a (a (a a)))) 9. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 46234/3212175. ------ 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. ------ 46235/3212202. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a (^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a b) a)((a (^y.y))(a (^z.z)))) 4. ==[ alpha ]==> (((a b) a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 46236/3212229. ------ 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 (^x.x)))((a a) a)) REDUCED to normal form. ------ 46237/3212283. ------ 1. ==[ start ]==> ((a (b a))(c b)) REDUCED to normal form. ------ 46238/3212373. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a (^z.z)) b)) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (^z.z)) b)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (^z.z)) b)) 5. ==[ beta ]==> (b ((a (^z.z)) b)) 6. ==[ alpha ]==> (b ((a (^x.x)) b)) REDUCED to normal form. ------ 46239/3212454. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) b)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 46240/3212517. ------ 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)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 46241/3212562. ------ 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. ------ 46242/3212589. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^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. ------ 46243/3212625. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(b (^z.z))) 3. ==[ beta ]==> ((a (^y.(a a)))(b (^z.z))) 4. ==[ alpha ]==> ((a (^x.(a a)))(b (^y.y))) REDUCED to normal form. ------ 46244/3212643. ------ 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)) 5. ==[ beta ]==> (((a b)(a b)) b) REDUCED to normal form. ------ 46245/3212652. ------ 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. ------ 46246/3212706. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.a)(^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. ------ 46247/3212724. ------ 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. ------ 46248/3212733. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(a (^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 46249/3212750. ------ 1. ==[ start ]==> (^a.((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (^x.((^y.(x x))((^z.z) x))) 3. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 46250/3212751. ------ 1. ==[ start ]==> (a ((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (a ((^x.(a a))((^y.y) a))) 3. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 46251/3214644. ------ 1. ==[ start ]==> ((^a.(a b))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(^z.(a a)))) 3. ==[ beta ]==> ((^y.(^z.(a a))) b) 4. ==[ alpha ]==> ((^x.(^y.(a a))) b) 5. ==[ beta ]==> (^y.(a a)) 6. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 46252/3215238. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.(^x1.z))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.z))(^z.(^x1.z)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.y))(^x1.(^y1.x1)))) 5. ==[ beta ]==> ((^y.(^z.y))(^x1.(^y1.x1))) 6. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.z))) 7. ==[ beta ]==> (^y.(^z.(^x1.z))) 8. ==[ alpha ]==> (^x.(^y.(^z.y))) REDUCED to normal form. ------ 46253/3217122. ------ 1. ==[ start ]==> (((a b)(^a.(a a))) c) 2. ==[ alpha ]==> (((a b)(^x.(x x))) c) REDUCED to normal form. ------ 46254/3217146. ------ 1. ==[ start ]==> ((^a.a)((^b.(a a))((^a.a) 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. ------ 46255/3217173. ------ 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. ------ 46256/3217200. ------ 1. ==[ start ]==> ((^a.b)((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 46257/3217281. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^z.a)((^x1.x1)(a a)))(^y.y)) 4. ==[ alpha ]==> (((^x.a)((^y.y)(a a)))(^z.z)) 5. ==[ beta ]==> (a (^z.z)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 46258/3217641. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 46259/3218091. ------ 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.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. ------ 46260/3219036. ------ 1. ==[ start ]==> ((^a.(a b))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.y)(^z.(a a)))) 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. ------ 46261/3219039. ------ 1. ==[ start ]==> ((a (a b))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((a (a b))(^x.(^y.(a a)))) REDUCED to normal form. ------ 46262/3219048. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> ((^y.b)(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> ((^x.b)(^y.((^z.z)(y y)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 46263/3219237. ------ 1. ==[ start ]==> (((^a.a)(a b))(^c.(a b))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(a b))) 3. ==[ beta ]==> ((a b)(^y.(a b))) 4. ==[ alpha ]==> ((a b)(^x.(a b))) REDUCED to normal form. ------ 46264/3219444. ------ 1. ==[ start ]==> (((a a)(a b))(^b.(a b))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(a x))) 3. ==[ eta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 46265/3219630. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.z)(^x1.b))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.b))((^z.z)(^x1.b)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.b))((^x1.x1)(^y1.b)))) 5. ==[ beta ]==> (((^y.y)(^z.b))((^x1.x1)(^y1.b))) 6. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)(^x1.b))) 7. ==[ beta ]==> ((^y.b)((^z.z)(^x1.b))) 8. ==[ alpha ]==> ((^x.b)((^y.y)(^z.b))) 9. ==[ beta ]==> b REDUCED to normal form. ------ 46266/3219633. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(^z.y))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.y))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.x))) REDUCED to normal form. ------ 46267/3219642. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^a.(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(z b))) 3. ==[ beta ]==> ((^y.(a a))(^z.(z b))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(y b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 46268/3219804. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^c.((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.((a a) a))) 3. ==[ beta ]==> (b (^x1.((a a) a))) 4. ==[ alpha ]==> (b (^x.((a a) a))) REDUCED to normal form. ------ 46269/3220146. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(^b.(^c.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. ------ 46270/3220587. ------ 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)(^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 ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 46271/3220821. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(a (a a)))) REDUCED to normal form. ------ 46272/3220929. ------ 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.(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.(y1 y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(y1 y1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(x1 x1)))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.(x1 x1)))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 9. ==[ beta ]==> (^y.(^z.(z z))) 10. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 46273/3221037. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(^z.(z z)))) REDUCED to normal form. ------ 46274/3221061. ------ 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) REDUCED to normal form. ------ 46275/3221343. ------ 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. ------ 46276/3221424. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^c.(a a))) 2. ==[ alpha ]==> (((^x.(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. ------ 46277/3221433. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^b.b)) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 46278/3221487. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^c.a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 46279/3221505. ------ 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. ------ 46280/3221514. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^b.a)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.a)) REDUCED to normal form. ------ 46281/3221544. ------ 1. ==[ start ]==> ((a a)((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a a)((^x.(a a))((^y.y) a))) 3. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 46282/3221562. ------ 1. ==[ start ]==> (((^a.a) a)((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x) a)((a b)(^y.(y y)))) 3. ==[ beta ]==> (a ((a b)(^y.(y y)))) 4. ==[ alpha ]==> (a ((a b)(^x.(x x)))) REDUCED to normal form. ------ 46283/3221571. ------ 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. ------ 46284/3221589. ------ 1. ==[ start ]==> (((a a) a)(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 46285/3221598. ------ 1. ==[ start ]==> ((a b)((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 46286/3221643. ------ 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. ------ 46287/3221652. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(a b))) 3. ==[ beta ]==> (((a a)(a a))((a b)(a b))) REDUCED to normal form. ------ 46288/3221670. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 46289/3221679. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 46290/3221697. ------ 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. ------ 46291/3221751. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((b a) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b a) a)) REDUCED to normal form. ------ 46292/3221778. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a)(^z.z)) b)) REDUCED to normal form. ------ 46293/3221814. ------ 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. ------ 46294/3221841. ------ 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 (^x.x))(a a)) b) REDUCED to normal form. ------ 46295/3221985. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^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. ------ 46296/3222039. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 46297/3222147. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((((^y.y)(^z.z))((^x1.x1)(^y1.y1)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 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. ------ 46298/3222174. ------ 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. ------ 46299/3222228. ------ 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 ]==> (((^y.y)(^y.y))((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))((^x1.x1)(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. ------ 46300/3222255. ------ 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. ------ 46301/3222291. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 46302/3222318. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 46303/3222345. ------ 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. ------ 46304/3222408. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 46305/3222435. ------ 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. ------ 46306/3222453. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y) a)(^z.b))) 3. ==[ beta ]==> ((b b)(((^y.y) a)(^z.b))) 4. ==[ alpha ]==> ((b b)(((^x.x) a)(^y.b))) 5. ==[ beta ]==> ((b b)(a (^y.b))) 6. ==[ alpha ]==> ((b b)(a (^x.b))) REDUCED to normal form. ------ 46307/3222462. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.a)(a b))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.a)(a b))) 3. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 46308/3222489. ------ 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.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. ------ 46309/3222588. ------ 1. ==[ start ]==> (((a (a a)) b)((a b) c)) REDUCED to normal form. ------ 46310/3222957. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(a b))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(a b))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a b))) 5. ==[ beta ]==> ((a (^y.y))(a b)) 6. ==[ alpha ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 46311/3223047. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> (b ((a b)(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 46312/3223074. ------ 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. ------ 46313/3223128. ------ 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.(^y1.y1)))) REDUCED to normal form. ------ 46314/3223182. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 46315/3223209. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^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. ------ 46316/3223236. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(a a)) a)) 3. ==[ beta ]==> ((((a a) a)(^x.x))((a a) a)) REDUCED to normal form. ------ 46317/3223272. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)((a a) a)) b) REDUCED to normal form. ------ 46318/3223326. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a (a (a a)))(^y.y)) 6. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 46319/3223353. ------ 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.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (((a (a a)) a)((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a (a a)) a)(^y.y)) 8. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 46320/3223380. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.a))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 46321/3223407. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 46322/3223434. ------ 1. ==[ start ]==> ((a (a b))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (a b))((^x.x)(^y.(a a)))) 3. ==[ beta ]==> ((a (a b))(^y.(a a))) 4. ==[ alpha ]==> ((a (a b))(^x.(a a))) REDUCED to normal form. ------ 46323/3223443. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(a ((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.b)(a ((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.b)(a ((^y.y)(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 46324/3223524. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(^x1.x1))((^y1.y1) a))) IRREDUCIBLE: cycle. ------ 46325/3223605. ------ 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 ((a (^z.z))((a a) a))) 4. ==[ alpha ]==> (b ((a (^x.x))((a a) a))) REDUCED to normal form. ------ 46326/3223632. ------ 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. ------ 46327/3223695. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a) a)(^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. ------ 46328/3223722. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.a)) 6. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.a)) REDUCED to normal form. ------ 46329/3223749. ------ 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 REDUCED to normal form. ------ 46330/3223776. ------ 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.(^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. ------ 46331/3223803. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 46332/3223839. ------ 1. ==[ start ]==> (((a a)(a b))((^a.a)(a b))) 2. ==[ alpha ]==> (((a a)(a b))((^x.x)(a b))) 3. ==[ beta ]==> (((a a)(a b))(a b)) REDUCED to normal form. ------ 46333/3223866. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.b)(^z.z))) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) b) REDUCED to normal form. ------ 46334/3223920. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 46335/3223947. ------ 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 x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(x1 x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(z z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.(z z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(^z.(z z)))) 7. ==[ beta ]==> (a ((^y.(y y))(^z.(z z)))) 8. ==[ alpha ]==> (a ((^x.(x x))(^y.(y y)))) 9. ==[ beta ]==> (a ((^y.(y y))(^y.(y y)))) 10. ==[ alpha ]==> (a ((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 46336/3223974. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x))) a) REDUCED to normal form. ------ 46337/3224001. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(^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. ------ 46338/3224028. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.y)(^z.b))) 3. ==[ beta ]==> ((a (a a))((^y.y)(^z.b))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(^y.b))) 5. ==[ beta ]==> ((a (a a))(^y.b)) 6. ==[ alpha ]==> ((a (a a))(^x.b)) REDUCED to normal form. ------ 46339/3224037. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(a (a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(a (a b))) 3. ==[ beta ]==> ((^y.(a a))(a (a b))) 4. ==[ alpha ]==> ((^x.(a a))(a (a b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 46340/3224064. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((a a) a)(a a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a a))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 46341/3224118. ------ 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) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.y)((a (a a))((^y1.y1) 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. ------ 46342/3224199. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a)((a a) a))) 3. ==[ beta ]==> (b ((a a)((a a) a))) REDUCED to normal form. ------ 46343/3224235. ------ 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. ------ 46344/3224262. ------ 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))(^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. ------ 46345/3224289. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (a a))(^z.a))) REDUCED to normal form. ------ 46346/3224343. ------ 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.(^y1.y1)))) REDUCED to normal form. ------ 46347/3224397. ------ 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. ------ 46348/3224424. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.x1) b)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z) b)) 5. ==[ beta ]==> (((a b)(^x.(^y.y))) b) REDUCED to normal form. ------ 46349/3224487. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 46350/3224514. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(^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. ------ 46351/3224640. ------ 1. ==[ start ]==> (((^a.b) c)((^b.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. ------ 46352/3224649. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(c (^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(c (^y.(y y)))) REDUCED to normal form. ------ 46353/3224676. ------ 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. ------ 46354/3224883. ------ 1. ==[ start ]==> (((a b) c)((a (a a)) b)) REDUCED to normal form. ------ 46355/3224910. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a) a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 46356/3224955. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(b (a (a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(b (a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (a (a a)))) REDUCED to normal form. ------ 46357/3224982. ------ 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)(^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))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 46358/3224991. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.(^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. ------ 46359/3225018. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(z z)) b)) 3. ==[ beta ]==> ((a (^y.b))((^z.(z z)) b)) 4. ==[ alpha ]==> ((a (^x.b))((^y.(y y)) b)) 5. ==[ beta ]==> ((a (^x.b))(b b)) REDUCED to normal form. ------ 46360/3225036. ------ 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. ------ 46361/3225126. ------ 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. ------ 46362/3225153. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 46363/3225180. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 46364/3225216. ------ 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. ------ 46365/3225243. ------ 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))) 5. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(^z.z))) 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. ------ 46366/3225270. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a b))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 46367/3225297. ------ 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. ------ 46368/3225324. ------ 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)(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)(^y1.(y1 y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.(y1 y1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.(x1 x1)))) 7. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(x1 x1)))) 8. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(z z)))) 9. ==[ beta ]==> ((^y.y)(^z.(z z))) 10. ==[ alpha ]==> ((^x.x)(^y.(y y))) 11. ==[ beta ]==> (^y.(y y)) 12. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 46369/3225378. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 46370/3225405. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(b (^z.a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(b (^z.a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(b (^y.a))) REDUCED to normal form. ------ 46371/3225432. ------ 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. ------ 46372/3225459. ------ 1. ==[ start ]==> ((a (b a))((^b.a)(a a))) 2. ==[ alpha ]==> ((a (b a))((^x.a)(a a))) 3. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 46373/3225549. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(c (a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(c (a a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(c (a a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(c (a a))) 5. ==[ beta ]==> (b (c (a a))) REDUCED to normal form. ------ 46374/3225630. ------ 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))) REDUCED to normal form. ------ 46375/3225693. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a (^y.y))(^z.z))) REDUCED to normal form. ------ 46376/3225738. ------ 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. ------ 46377/3225765. ------ 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)(b (a a))) 4. ==[ alpha ]==> ((^x.x)(b (a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 46378/3225801. ------ 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)) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 46379/3225819. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a a)(a a))) 3. ==[ beta ]==> (((a b)(a b))((a a)(a a))) REDUCED to normal form. ------ 46380/3225828. ------ 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. ------ 46381/3225882. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a a) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 46382/3225900. ------ 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. ------ 46383/3225909. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.a) a)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y) a)) 3. ==[ beta ]==> (((a b)(^x.(x x))) a) REDUCED to normal form. ------ 46384/3225935. ------ 1. ==[ start ]==> (^a.(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (^x.(((^y.y)(x x))(^z.x))) 3. ==[ beta ]==> (^x.((x x)(^z.x))) 4. ==[ alpha ]==> (^x.((x x)(^y.x))) REDUCED to normal form. ------ 46385/3225936. ------ 1. ==[ start ]==> (a (((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (a (((^x.x)(a a))(^y.a))) 3. ==[ beta ]==> (a ((a a)(^y.a))) 4. ==[ alpha ]==> (a ((a a)(^x.a))) REDUCED to normal form. ------ 46386/3230334. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a)) a) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a)) a) 3. ==[ beta ]==> (((a a)(^y.a)) a) 4. ==[ alpha ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 46387/3230340. ------ 1. ==[ start ]==> ((^a.a)(((^a.a)(a a))(^b.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. ------ 46388/3230349. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 46389/3230367. ------ 1. ==[ start ]==> ((^a.(a a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((a b)(^y.(y y)))) 3. ==[ beta ]==> (((a b)(^y.(y y)))((a b)(^y.(y y)))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))((a b)(^y.(y y)))) REDUCED to normal form. ------ 46390/3230394. ------ 1. ==[ start ]==> ((^a.b)(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 46391/3230430. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 46392/3230475. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> ((((^z.z) a)(^x1.(a a)))(^y.y)) 4. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.z)) 5. ==[ beta ]==> ((a (^y.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 46393/3230541. ------ 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))) REDUCED to normal form. ------ 46394/3230592. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.(^a.a))(^a.(^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. ------ 46395/3230820. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(b z))) 3. ==[ eta ]==> ((((^x.x) a)(^y.y)) b) 4. ==[ beta ]==> ((a (^y.y)) b) 5. ==[ alpha ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 46396/3231159. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b)((^y1.y1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 46397/3231285. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a (^x1.x1))(^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. ------ 46398/3231324. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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))) REDUCED to normal form. ------ 46399/3231810. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a (^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 46400/3232050. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 46401/3232242. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((^y.b)(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.b)(^y.(^z.(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 46402/3232440. ------ 1. ==[ start ]==> (((a a)(^a.b))(^c.(a b))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(a b))) REDUCED to normal form. ------ 46403/3232458. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) 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. ------ 46404/3232617. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(^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. ------ 46405/3232638. ------ 1. ==[ start ]==> (((a a)(a b))(^c.(^a.b))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(^y.b))) REDUCED to normal form. ------ 46406/3232836. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.z))) 3. ==[ beta ]==> ((^y.(a a))(^z.(^x1.z))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(^z.y))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 46407/3233007. ------ 1. ==[ start ]==> (((a b) b)(^c.((a a) a))) 2. ==[ alpha ]==> (((a b) b)(^x.((a a) a))) REDUCED to normal form. ------ 46408/3233781. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^b.(^b.(^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. ------ 46409/3233790. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^a.((^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)))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.x1))) REDUCED to normal form. ------ 46410/3233916. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^a.(^b.(^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. ------ 46411/3234255. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y) a)(^z.z))) 3. ==[ eta ]==> (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. ------ 46412/3234537. ------ 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. ------ 46413/3234600. ------ 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)))) REDUCED to normal form. ------ 46414/3234627. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^c.(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(a a))) REDUCED to normal form. ------ 46415/3234681. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^a.b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 46416/3234699. ------ 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. ------ 46417/3234708. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^a.(a a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(y y))) REDUCED to normal form. ------ 46418/3234735. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^a.a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.z)) 3. ==[ beta ]==> (((a a)(^y.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 46419/3234747. ------ 1. ==[ start ]==> ((a a)(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((a a)(((^x.x)(a a))(^y.a))) 3. ==[ beta ]==> ((a a)((a a)(^y.a))) 4. ==[ alpha ]==> ((a a)((a a)(^x.a))) REDUCED to normal form. ------ 46420/3234756. ------ 1. ==[ start ]==> ((a (^a.a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 46421/3234774. ------ 1. ==[ start ]==> ((a (a a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a a))((a b)(^x.(x x)))) REDUCED to normal form. ------ 46422/3234783. ------ 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. ------ 46423/3234801. ------ 1. ==[ start ]==> ((a b)(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a b)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 46424/3234837. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.(^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. ------ 46425/3234855. ------ 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. ------ 46426/3234882. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> ((a (a (^x.x)))(a (^z.(a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.(a a)))) REDUCED to normal form. ------ 46427/3234891. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 46428/3234918. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))((a a)(^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. ------ 46429/3234945. ------ 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. ------ 46430/3234999. ------ 1. ==[ start ]==> ((a (^b.a))((^c.(^a.a))(^a.(^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. ------ 46431/3235080. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 46432/3235107. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.a))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 46433/3235161. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y) a)((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> (a ((^y.a)(^z.(a a)))) 6. ==[ alpha ]==> (a ((^x.a)(^y.(a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 46434/3235170. ------ 1. ==[ start ]==> (((a a)(^b.a))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(c ((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(^x.a))(c (a a))) REDUCED to normal form. ------ 46435/3235197. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b ((a a)(^x1.x1)))) REDUCED to normal form. ------ 46436/3235224. ------ 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))) REDUCED to normal form. ------ 46437/3235287. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(a a)) c)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 46438/3235332. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((a a)(((a a) a)(a (a a)))) REDUCED to normal form. ------ 46439/3235413. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y) a)(a b))) 3. ==[ beta ]==> ((a b)(((^y.y) a)(a b))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)(a b))) 5. ==[ beta ]==> ((a b)(a (a b))) REDUCED to normal form. ------ 46440/3235440. ------ 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. ------ 46441/3235458. ------ 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. ------ 46442/3235467. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 46443/3235539. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(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. ------ 46444/3235566. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 46445/3235584. ------ 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. ------ 46446/3235611. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(^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. ------ 46447/3235665. ------ 1. ==[ start ]==> (((a (a a))(a a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a a))(((^x.x) 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. ------ 46448/3235692. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 46449/3235701. ------ 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.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. ------ 46450/3235728. ------ 1. ==[ start ]==> (((^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)))) 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. ------ 46451/3235782. ------ 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))(^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. ------ 46452/3235863. ------ 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.(^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. ------ 46453/3235917. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.a)(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)(^x1.b))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 46454/3235953. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(b ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b ((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.y)(b ((^z.z)(a a)))) 6. ==[ alpha ]==> ((^x.x)(b ((^y.y)(a a)))) 7. ==[ beta ]==> (b ((^y.y)(a a))) 8. ==[ alpha ]==> (b ((^x.x)(a a))) 9. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 46455/3236016. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(a a)) b)) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(a a)) REDUCED to normal form. ------ 46456/3236043. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.b) c)) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.b) c)) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.b) c)) 5. ==[ beta ]==> ((a a)((^y.b) c)) 6. ==[ alpha ]==> ((a a)((^x.b) c)) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 46457/3236160. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(c (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c (^y1.b))) 3. ==[ beta ]==> ((^y.y)(c (^y1.b))) 4. ==[ alpha ]==> ((^x.x)(c (^y.b))) 5. ==[ beta ]==> (c (^y.b)) 6. ==[ alpha ]==> (c (^x.b)) REDUCED to normal form. ------ 46458/3236214. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> (a (a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 46459/3236322. ------ 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.(^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. ------ 46460/3236376. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.a)((a a) a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.a)((a a) a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)((a a) a))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.a)((a a) a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)((a a) a))) 7. ==[ beta ]==> ((a a)((^y.a)((a a) a))) 8. ==[ alpha ]==> ((a a)((^x.a)((a a) a))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 46461/3236457. ------ 1. ==[ start ]==> ((a (^a.b))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 46462/3236475. ------ 1. ==[ start ]==> (((a a)((a a) a))((a b) b)) REDUCED to normal form. ------ 46463/3236628. ------ 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. ------ 46464/3236646. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.b)((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.b)((^y.y)(^z.(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 46465/3236790. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a) b)(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a) b)(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((((a a) a) b)(a (^y.y))) 6. ==[ alpha ]==> ((((a a) a) b)(a (^x.x))) REDUCED to normal form. ------ 46466/3236808. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(c (^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(c (^z.a))) 3. ==[ beta ]==> (b (c (^z.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 46467/3236817. ------ 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. ------ 46468/3236835. ------ 1. ==[ start ]==> (((^a.a)(a b))(b (^a.b))) 2. ==[ alpha ]==> (((^x.x)(a b))(b (^y.b))) 3. ==[ beta ]==> ((a b)(b (^y.b))) 4. ==[ alpha ]==> ((a b)(b (^x.b))) REDUCED to normal form. ------ 46469/3236844. ------ 1. ==[ start ]==> (((a a)(^a.b))((a a)(a b))) 2. ==[ alpha ]==> (((a a)(^x.b))((a a)(a b))) REDUCED to normal form. ------ 46470/3236862. ------ 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 (^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. ------ 46471/3236997. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.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. ------ 46472/3237024. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(^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. ------ 46473/3237042. ------ 1. ==[ start ]==> (((a a)(a b))((a a)(^a.b))) 2. ==[ alpha ]==> (((a a)(a b))((a a)(^x.b))) REDUCED to normal form. ------ 46474/3237069. ------ 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. ------ 46475/3237096. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((a a) a) b)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((a a) a) b)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a) a) b)) 5. ==[ beta ]==> ((a (^y.y))(((a a) a) b)) 6. ==[ alpha ]==> ((a (^x.x))(((a a) a) b)) REDUCED to normal form. ------ 46476/3237195. ------ 1. ==[ start ]==> (((^a.b) b)(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> (b (c ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (b (c ((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (c (^y.y))) 6. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 46477/3237240. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)(^x1.b))) 3. ==[ beta ]==> ((^y.(a a))((^z.z)(^x1.b))) 4. ==[ alpha ]==> ((^x.(a a))((^y.y)(^z.b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 46478/3237402. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 46479/3237411. ------ 1. ==[ start ]==> (((a b) b)((a a)((a a) a))) REDUCED to normal form. ------ 46480/3237483. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.(^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. ------ 46481/3237537. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.a)(a (a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.a)(a (a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.a)(a (a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.a)(a (a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(a (a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(a (a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(a (a a)))) 9. ==[ beta ]==> ((^y.y)((^z.a)(a (a a)))) 10. ==[ alpha ]==> ((^x.x)((^y.a)(a (a a)))) 11. ==[ beta ]==> ((^y.a)(a (a a))) 12. ==[ alpha ]==> ((^x.a)(a (a a))) 13. ==[ beta ]==> a REDUCED to normal form. ------ 46482/3237618. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^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. ------ 46483/3237798. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z)) b)) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z)) b)) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y)) b)) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 46484/3237843. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) c)(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (b (((^y.y) a)((^z.z) a))) 4. ==[ alpha ]==> (b (((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> (b (a ((^y.y) a))) 6. ==[ alpha ]==> (b (a ((^x.x) a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 46485/3237942. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.(^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. ------ 46486/3238077. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 46487/3238158. ------ 1. ==[ start ]==> (((^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 y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 46488/3238185. ------ 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)((^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. ------ 46489/3238194. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a (^z.z))) REDUCED to normal form. ------ 46490/3238221. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (a a))(a a))) 3. ==[ beta ]==> ((a (^y.b))((a (a a))(a a))) 4. ==[ alpha ]==> ((a (^x.b))((a (a a))(a a))) REDUCED to normal form. ------ 46491/3238275. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 46492/3238302. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a a)(a (a a)))) REDUCED to normal form. ------ 46493/3238320. ------ 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 (a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 46494/3238419. ------ 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)))) REDUCED to normal form. ------ 46495/3238446. ------ 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 (^x.x))(a a))((a (a a)) a)) REDUCED to normal form. ------ 46496/3238473. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 46497/3238554. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(x x)) a)) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(a a)) REDUCED to normal form. ------ 46498/3238581. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.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)) 5. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 46499/3238662. ------ 1. ==[ start ]==> ((a (b a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((a (b a))(((^x.x) a)(^y.y))) 3. ==[ beta ]==> ((a (b a))(a (^y.y))) 4. ==[ alpha ]==> ((a (b a))(a (^x.x))) REDUCED to normal form. ------ 46500/3238752. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a)(^x1.x1))) 5. ==[ beta ]==> (b ((^z.a)(^x1.x1))) 6. ==[ alpha ]==> (b ((^x.a)(^y.y))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 46501/3238833. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(c (^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(c (^z.z))) 3. ==[ beta ]==> (b (c (^z.z))) 4. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 46502/3238896. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(c a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(c a)) REDUCED to normal form. ------ 46503/3238941. ------ 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. ------ 46504/3238968. ------ 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))(^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. ------ 46505/3239004. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(a (a (^z.z)))) 3. ==[ beta ]==> ((a (^y.(a a)))(a (a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(a (a (^y.y)))) REDUCED to normal form. ------ 46506/3239022. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(b (^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(b (^y.y))) 3. ==[ beta ]==> (((a b)(a b))(b (^y.y))) 4. ==[ alpha ]==> (((a b)(a b))(b (^x.x))) REDUCED to normal form. ------ 46507/3239031. ------ 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. ------ 46508/3239085. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(a b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a b)) REDUCED to normal form. ------ 46509/3239103. ------ 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. ------ 46510/3239112. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(a (a a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(a (a a))) REDUCED to normal form. ------ 46511/3239139. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(a a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(a a)) 3. ==[ beta ]==> (((a a)(^y.a))(a a)) 4. ==[ alpha ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 46512/3243546. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a)) b) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a)) b) 3. ==[ beta ]==> (((a a)(^y.a)) b) 4. ==[ alpha ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 46513/3243570. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 46514/3243771. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^b.(b a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(z a))) REDUCED to normal form. ------ 46515/3243813. ------ 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)) REDUCED to normal form. ------ 46516/3244155. ------ 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. ------ 46517/3244380. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a b)(^b.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. ------ 46518/3244806. ------ 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)))) 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. ------ 46519/3244938. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a (a a))((^y.y)(^z.z)))((a (a a))((^y.y)(^z.z))))((a (a a))((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((((a (a a))((^x.x)(^y.y)))((a (a a))((^z.z)(^x1.x1))))((a (a a))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((((a (a a))(^y.y))((a (a a))((^z.z)(^x1.x1))))((a (a a))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((((a (a a))(^x.x))((a (a a))((^y.y)(^z.z))))((a (a a))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((((a (a a))(^x.x))((a (a a))(^z.z)))((a (a a))((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> ((((a (a a))(^x.x))((a (a a))(^y.y)))((a (a a))((^z.z)(^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. ------ 46520/3245256. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 46521/3245271. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z)(a a)) a)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 46522/3245451. ------ 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. ------ 46523/3245838. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (^y.(((a (^z.z))(^x1.a))((a (^z.z))(^x1.a)))) 4. ==[ alpha ]==> (^x.(((a (^y.y))(^z.a))((a (^x1.x1))(^y1.a)))) REDUCED to normal form. ------ 46524/3246045. ------ 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. ------ 46525/3246255. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.(^z.b))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.b))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.b))) REDUCED to normal form. ------ 46526/3246417. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^b.((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.((a a) a))) REDUCED to normal form. ------ 46527/3246588. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^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. ------ 46528/3246720. ------ 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)) 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)(^x.x))((a a)(^z.z)))(^x1.x1)) 8. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 46529/3247011. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 46530/3247146. ------ 1. ==[ start ]==> (((a b)(^b.a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 46531/3247371. ------ 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. ------ 46532/3247713. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^a.(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.y))) REDUCED to normal form. ------ 46533/3247758. ------ 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. ------ 46534/3247821. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^b.(^a.(^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. ------ 46535/3247902. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 46536/3247920. ------ 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. ------ 46537/3247929. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 46538/3247956. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 46539/3247986. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> ((a (^x.x))((a a)(^z.a))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 46540/3247995. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> (a ((^y.(a a))((^z.z) a))) 4. ==[ alpha ]==> (a ((^x.(a a))((^y.y) a))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 46541/3248013. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((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. ------ 46542/3248022. ------ 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. ------ 46543/3248040. ------ 1. ==[ start ]==> (((^a.a)(a a))(((a a) a)(^b.(^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. ------ 46544/3248076. ------ 1. ==[ start ]==> (((^a.a) b)((^b.(^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. ------ 46545/3248103. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 46546/3248121. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 46547/3248130. ------ 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. ------ 46548/3248157. ------ 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)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 46549/3248184. ------ 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. ------ 46550/3248202. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((b a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 46551/3248229. ------ 1. ==[ start ]==> ((a (^b.a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.a))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 46552/3248265. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 46553/3248346. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 46554/3248373. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(y y))(^z.b))) 3. ==[ beta ]==> ((a a)((^y.(y y))(^z.b))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(^y.b))) 5. ==[ beta ]==> ((a a)((^y.b)(^y.b))) 6. ==[ alpha ]==> ((a a)((^x.b)(^y.b))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 46555/3248400. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.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. ------ 46556/3248490. ------ 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) a)(((a a)(^y.y))(a a))) 4. ==[ alpha ]==> (((a a) a)(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 46557/3248517. ------ 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)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(a (^z.z)))) REDUCED to normal form. ------ 46558/3248544. ------ 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. ------ 46559/3248571. ------ 1. ==[ start ]==> ((a (a (a a)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 46560/3248697. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 46561/3248769. ------ 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)(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. ------ 46562/3248778. ------ 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. ------ 46563/3248796. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(^z.a))) REDUCED to normal form. ------ 46564/3248886. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(y y))((a a) a))) 3. ==[ beta ]==> ((b b)((^y.(y y))((a a) a))) 4. ==[ alpha ]==> ((b b)((^x.(x x))((a a) a))) 5. ==[ beta ]==> ((b b)(((a a) a)((a a) a))) REDUCED to normal form. ------ 46565/3248931. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 46566/3249012. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^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. ------ 46567/3249021. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a)) b)(a a)) REDUCED to normal form. ------ 46568/3249048. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.b)(^b.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. ------ 46569/3249075. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.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. ------ 46570/3249102. ------ 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.(^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. ------ 46571/3249129. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((a (^y.a))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((a (^x.a))((^z.a)(^z.a))) 6. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.a))) 7. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 46572/3249156. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 46573/3249183. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(^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. ------ 46574/3249219. ------ 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)))) 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. ------ 46575/3249246. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((a a)(a a))) REDUCED to normal form. ------ 46576/3249273. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a b)(a (^z.z)))) 3. ==[ beta ]==> ((a ((^y.y) a))((a b)(a (^z.z)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a b)(a (^y.y)))) 5. ==[ beta ]==> ((a a)((a b)(a (^y.y)))) 6. ==[ alpha ]==> ((a a)((a b)(a (^x.x)))) REDUCED to normal form. ------ 46577/3249300. ------ 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. ------ 46578/3249327. ------ 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. ------ 46579/3249354. ------ 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. ------ 46580/3249480. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(a a))(a a))) 3. ==[ beta ]==> (((^y.y) b)((^z.(a a))(a a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(a a))(a a))) 5. ==[ beta ]==> (b ((^y.(a a))(a a))) 6. ==[ alpha ]==> (b ((^x.(a a))(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 46581/3249507. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.b)(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 46582/3249525. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((a a) a)(^y.a))) 3. ==[ beta ]==> (((a a) a)(((a a) a)(^y.a))) 4. ==[ alpha ]==> (((a a) a)(((a a) a)(^x.a))) REDUCED to normal form. ------ 46583/3249552. ------ 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))(^x2.(x2 x2)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 x1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z z))) 7. ==[ beta ]==> ((^y.y)(^z.(z z))) 8. ==[ alpha ]==> ((^x.x)(^y.(y y))) 9. ==[ beta ]==> (^y.(y y)) 10. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 46584/3249561. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 46585/3249588. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(x x)))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.(x x)))((^z.z)((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)((^z.z)(^x1.x1)))) 9. ==[ beta ]==> ((a (^x.(x x)))((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(^z.z))) 11. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 12. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 46586/3249615. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.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. ------ 46587/3249642. ------ 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.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. ------ 46588/3249669. ------ 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)(^x.x))((^z.z)(a a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(a a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form. ------ 46589/3249687. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y)(a a)) a)) 3. ==[ beta ]==> ((a (^x.b))((a a) a)) REDUCED to normal form. ------ 46590/3249858. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(^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. ------ 46591/3249867. ------ 1. ==[ start ]==> ((a (a b))(b (a b))) REDUCED to normal form. ------ 46592/3250047. ------ 1. ==[ start ]==> (((a b) a)(c (^c.a))) 2. ==[ alpha ]==> (((a b) a)(c (^x.a))) REDUCED to normal form. ------ 46593/3250074. ------ 1. ==[ start ]==> (((a a)(^a.b))(b (^a.b))) 2. ==[ alpha ]==> (((a a)(^x.b))(b (^y.b))) REDUCED to normal form. ------ 46594/3250128. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 46595/3250146. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 46596/3250182. ------ 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))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 46597/3250209. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 46598/3250227. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a) a)(^b.(^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. ------ 46599/3250236. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.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. ------ 46600/3250254. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 46601/3250425. ------ 1. ==[ start ]==> (((^a.b) b)((^b.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. ------ 46602/3250434. ------ 1. ==[ start ]==> (((a b)(a a))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(c ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a b)(a a))(c (^y.y))) 4. ==[ alpha ]==> (((a b)(a a))(c (^x.x))) REDUCED to normal form. ------ 46603/3250461. ------ 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. ------ 46604/3250497. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.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) 7. ==[ beta ]==> b REDUCED to normal form. ------ 46605/3250551. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.(^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. ------ 46606/3250641. ------ 1. ==[ start ]==> (((a b) b)(b (^c.a))) 2. ==[ alpha ]==> (((a b) b)(b (^x.a))) REDUCED to normal form. ------ 46607/3250668. ------ 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. ------ 46608/3250686. ------ 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. ------ 46609/3250695. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^c.a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a)(a a))) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 46610/3250713. ------ 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))(^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. ------ 46611/3250722. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.(^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. ------ 46612/3250767. ------ 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)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a)(^z1.(z1 z1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1) a)(^z1.(z1 z1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)(^y1.(y1 y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(^y1.(y1 y1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.(x1 x1)))) 9. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(x1 x1)))) 10. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(z z)))) 11. ==[ beta ]==> (((^y.y) a)(^z.(z z))) 12. ==[ alpha ]==> (((^x.x) a)(^y.(y y))) 13. ==[ beta ]==> (a (^y.(y y))) 14. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 46613/3250776. ------ 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. ------ 46614/3250803. ------ 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)(^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. ------ 46615/3250830. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((a a) a)) REDUCED to normal form. ------ 46616/3250848. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((a a) a) a)) 3. ==[ beta ]==> (b (((a a) a) a)) REDUCED to normal form. ------ 46617/3250857. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 46618/3250884. ------ 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))(^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. ------ 46619/3250947. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(c (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(c (a (a a)))) REDUCED to normal form. ------ 46620/3250974. ------ 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. ------ 46621/3251001. ------ 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. ------ 46622/3251028. ------ 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. ------ 46623/3251055. ------ 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. ------ 46624/3251073. ------ 1. ==[ start ]==> (((^a.b) c)(d (^b.a))) 2. ==[ alpha ]==> (((^x.b) c)(d (^y.a))) 3. ==[ beta ]==> (b (d (^y.a))) 4. ==[ alpha ]==> (b (d (^x.a))) REDUCED to normal form. ------ 46625/3251082. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(a ((^z.z) a))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(a ((^y.y) a))) 5. ==[ beta ]==> (((a b)(a (^x.x)))(a a)) REDUCED to normal form. ------ 46626/3251109. ------ 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. ------ 46627/3251136. ------ 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)(^x.x)))((a a)(^z.z))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 46628/3251172. ------ 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.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(^z1.z1))) 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. ------ 46629/3251307. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 46630/3251316. ------ 1. ==[ start ]==> (((a b) c)((^b.(^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. ------ 46631/3251343. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(a a))(^a.(^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. ------ 46632/3251370. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a)(^z.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 46633/3251424. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.a)(^b.(^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. ------ 46634/3251469. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(y y)) b)) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(y y)) b)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(x x)) b)) 5. ==[ beta ]==> ((((a a) a)((a a) a))(b b)) REDUCED to normal form. ------ 46635/3251505. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(c (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(c (^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(c (^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c (^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(c (^x1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))(c (^z.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 46636/3251532. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(b (^y.(y y)))) REDUCED to normal form. ------ 46637/3251559. ------ 1. ==[ start ]==> (((a b)(^b.a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 46638/3251586. ------ 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))(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. ------ 46639/3251613. ------ 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) REDUCED to normal form. ------ 46640/3251757. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b ((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b ((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b ((^x1.x1) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(b ((^x1.x1) a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(b ((^z.z) a))) 7. ==[ beta ]==> ((^y.y)(b ((^z.z) a))) 8. ==[ alpha ]==> ((^x.x)(b ((^y.y) a))) 9. ==[ beta ]==> (b ((^y.y) a)) 10. ==[ alpha ]==> (b ((^x.x) a)) 11. ==[ beta ]==> (b a) REDUCED to normal form. ------ 46641/3251784. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(a (a (a a)))) REDUCED to normal form. ------ 46642/3251811. ------ 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. ------ 46643/3251838. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 46644/3251865. ------ 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. ------ 46645/3251982. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z) a) a)) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z) a) a)) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z) a) a)) 5. ==[ beta ]==> (b (((^z.z) a) a)) 6. ==[ alpha ]==> (b (((^x.x) a) a)) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 46646/3252063. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.a) a)) 3. ==[ beta ]==> (b ((^z.a) a)) 4. ==[ alpha ]==> (b ((^x.a) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 46647/3252126. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(a (^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(a (^y.a))) REDUCED to normal form. ------ 46648/3252171. ------ 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. ------ 46649/3252198. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^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. ------ 46650/3252234. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 46651/3252252. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(^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. ------ 46652/3252261. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(b (^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(b (^y.y))) REDUCED to normal form. ------ 46653/3252315. ------ 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)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 46654/3252333. ------ 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. ------ 46655/3252342. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 46656/3252369. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(a (^z.z))) 3. ==[ beta ]==> (((a a)(^y.a))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.a))(a (^y.y))) REDUCED to normal form. ------ 46657/3252885. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^a.(b a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(b z))) 3. ==[ eta ]==> ((^x.(^y.(y y))) b) 4. ==[ beta ]==> (^y.(y y)) 5. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 46658/3256305. ------ 1. ==[ start ]==> ((^a.(b a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(^z.(z z)))) 3. ==[ eta ]==> (b (^y.(^z.(z z)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 46659/3256785. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a)) c) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a)) c) 3. ==[ beta ]==> (((a a)(^y.a)) c) 4. ==[ alpha ]==> (((a a)(^x.a)) c) REDUCED to normal form. ------ 46660/3256836. ------ 1. ==[ start ]==> ((^a.(a a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> (((^y.(a a))((^z.z) a))((^y.(a a))((^z.z) a))) 4. ==[ alpha ]==> (((^x.(a a))((^y.y) a))((^z.(a a))((^x1.x1) a))) 5. ==[ beta ]==> ((a a)((^z.(a a))((^x1.x1) a))) 6. ==[ alpha ]==> ((a a)((^x.(a a))((^y.y) a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 46661/3256863. ------ 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. ------ 46662/3256944. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(z z))(a b))) 3. ==[ beta ]==> (((^z.(z z))(a b))(^y.y)) 4. ==[ alpha ]==> (((^x.(x x))(a b))(^y.y)) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 46663/3257133. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.b)(^x1.(x1 x1)))) 3. ==[ eta ]==> ((^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. ------ 46664/3257304. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(a (b a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(a (b a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 46665/3257307. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^a.(b a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.(b y))) 3. ==[ eta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 46666/3257754. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.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. ------ 46667/3258054. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 46668/3258279. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> (a (^z.((^x1.x1)(a a)))) 6. ==[ alpha ]==> (a (^x.((^y.y)(a a)))) 7. ==[ beta ]==> (a (^x.(a a))) REDUCED to normal form. ------ 46669/3258699. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(^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. ------ 46670/3259134. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^b.(a b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(a y))) 3. ==[ eta ]==> (((a (^x.x))((a a) a)) a) REDUCED to normal form. ------ 46671/3259332. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^a.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.(x1 b))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 b))) 4. ==[ alpha ]==> ((^x.x)(^y.(y b))) 5. ==[ beta ]==> (^y.(y b)) 6. ==[ alpha ]==> (^x.(x b)) REDUCED to normal form. ------ 46672/3259665. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^c.(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 46673/3259836. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^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. ------ 46674/3259968. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(b (^b.(^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. ------ 46675/3260385. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^c.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(a (a a)))) 3. ==[ beta ]==> (b (^z.(a (a a)))) 4. ==[ alpha ]==> (b (^x.(a (a a)))) REDUCED to normal form. ------ 46676/3260511. ------ 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)))) REDUCED to normal form. ------ 46677/3260619. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.(^y.(y y)))) REDUCED to normal form. ------ 46678/3260724. ------ 1. ==[ start ]==> ((^a.(b a))(a (^a.(a a)))) 2. ==[ alpha ]==> ((^x.(b x))(a (^y.(y y)))) 3. ==[ eta ]==> (b (a (^y.(y y)))) 4. ==[ alpha ]==> (b (a (^x.(x x)))) REDUCED to normal form. ------ 46679/3260727. ------ 1. ==[ start ]==> ((a (b a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((a (b a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 46680/3260898. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.b)(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.z)) 5. ==[ beta ]==> (b (^z.z)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 46681/3260961. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^b.c)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.c)) REDUCED to normal form. ------ 46682/3261069. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^c.b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.b)) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.b)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.b)) REDUCED to normal form. ------ 46683/3261087. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(y (^z.z)))) 3. ==[ beta ]==> (((a b)(a b))(^y.(y (^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(x (^y.y)))) REDUCED to normal form. ------ 46684/3261150. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^c.(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 46685/3261168. ------ 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. ------ 46686/3261177. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^c.a)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.a)) REDUCED to normal form. ------ 46687/3261204. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^b.a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.a)) 3. ==[ beta ]==> (((a a)(^y.a))(^z.a)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.a)) REDUCED to normal form. ------ 46688/3261252. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (a (((^y.y)(a a))(^z.a))) 4. ==[ alpha ]==> (a (((^x.x)(a a))(^y.a))) 5. ==[ beta ]==> (a ((a a)(^y.a))) 6. ==[ alpha ]==> (a ((a a)(^x.a))) REDUCED to normal form. ------ 46689/3261261. ------ 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))(a a)) REDUCED to normal form. ------ 46690/3261279. ------ 1. ==[ start ]==> (((a a) a)((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a) a)((a b)(^x.(x x)))) REDUCED to normal form. ------ 46691/3261288. ------ 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. ------ 46692/3261306. ------ 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. ------ 46693/3261333. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> (b ((^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. ------ 46694/3261342. ------ 1. ==[ start ]==> (((a a)(a a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 46695/3261360. ------ 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. ------ 46696/3261369. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(y y))(a b))) 3. ==[ beta ]==> ((a (a (^x.x)))((a b)(a b))) REDUCED to normal form. ------ 46697/3261387. ------ 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. ------ 46698/3261468. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((b a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((b a) a)) REDUCED to normal form. ------ 46699/3261522. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z)(a a)) c)) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 46700/3261531. ------ 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 (^x.x))(a a))(a a)) REDUCED to normal form. ------ 46701/3261558. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> ((a a)((^y.b)(^z.(z z)))) 4. ==[ alpha ]==> ((a a)((^x.b)(^y.(y y)))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 46702/3261729. ------ 1. ==[ start ]==> ((a (^a.(a a)))(a (b a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(a (b a))) REDUCED to normal form. ------ 46703/3261837. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((^y.(y y))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> ((^x.(x x))(((a a) a)(a (a a)))) 5. ==[ beta ]==> ((((a a) a)(a (a a)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 46704/3261864. ------ 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)(^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. ------ 46705/3261918. ------ 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 ]==> (((^y.y)(^y.y))(((^z.z) a)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(a b))) 5. ==[ beta ]==> ((^y.y)(((^z.z) 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. ------ 46706/3261945. ------ 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. ------ 46707/3261972. ------ 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)(^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. ------ 46708/3262008. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 46709/3262035. ------ 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. ------ 46710/3262071. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.b)((^y.y) a))) 3. ==[ beta ]==> (((a a)(a (a a))) b) REDUCED to normal form. ------ 46711/3262125. ------ 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. ------ 46712/3262143. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (a a))(^y.a))) 3. ==[ beta ]==> ((b b)((a (a a))(^y.a))) 4. ==[ alpha ]==> ((b b)((a (a a))(^x.a))) REDUCED to normal form. ------ 46713/3262152. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(x x))((a a) a))) 3. ==[ beta ]==> (((a (a a))(a a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 46714/3262179. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a)(a b))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(a b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(a b))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 46715/3262278. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x)(a a)) b)) 3. ==[ beta ]==> (((a (a a)) b)((a a) b)) REDUCED to normal form. ------ 46716/3262305. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a b) c)) 3. ==[ beta ]==> (((^y.y) a)((a b) c)) 4. ==[ alpha ]==> (((^x.x) a)((a b) c)) 5. ==[ beta ]==> (a ((a b) c)) REDUCED to normal form. ------ 46717/3262647. ------ 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)((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. ------ 46718/3262701. ------ 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)(^y.a))((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.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. ------ 46719/3262737. ------ 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. ------ 46720/3262764. ------ 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. ------ 46721/3262818. ------ 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))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.(y1 y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.(y1 y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(x1 x1))) REDUCED to normal form. ------ 46722/3262845. ------ 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.(^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. ------ 46723/3262872. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y) a)(^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. ------ 46724/3262899. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.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. ------ 46725/3262926. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)(^y.(a a)))) REDUCED to normal form. ------ 46726/3262962. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(a a))(^y.y))) 3. ==[ beta ]==> (((a a)((a a) a))(a a)) REDUCED to normal form. ------ 46727/3262989. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.b)(^a.(^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. ------ 46728/3263043. ------ 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))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a (a a)) a)(^y.y)) 6. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 46729/3263070. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))((^z.(^x1.x1))(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((a (^x.x))(^z.z)) 10. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 46730/3263097. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.a)(^y.a))) 3. ==[ beta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 46731/3263124. ------ 1. ==[ start ]==> ((a (a b))((^a.(^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. ------ 46732/3263133. ------ 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. ------ 46733/3263214. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a) a)(a (^z.z)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((a a) a)(a (^z.z)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a) a)(a (^z.z)))) IRREDUCIBLE: cycle. ------ 46734/3263295. ------ 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 (((^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. ------ 46735/3263322. ------ 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))) REDUCED to normal form. ------ 46736/3263349. ------ 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 b))) 4. ==[ alpha ]==> ((^x.x)((a a)(a b))) 5. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 46737/3263385. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 46738/3263412. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 46739/3263439. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a)(^a.a))(^b.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. ------ 46740/3263466. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (a a))(^z.(z z)))) REDUCED to normal form. ------ 46741/3263493. ------ 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)(^x.x))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 46742/3263529. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(^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. ------ 46743/3263556. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y)(a b))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(a b)) REDUCED to normal form. ------ 46744/3263583. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.b)(^y1.y1))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.b)(^x1.x1))) 5. ==[ beta ]==> ((a (^y.y))((^z.b)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.z))) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 46745/3263637. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.(^a.a))(^b.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. ------ 46746/3263664. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 46747/3263691. ------ 1. ==[ start ]==> (((a b)(a a))((^b.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. ------ 46748/3263727. ------ 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. ------ 46749/3263754. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(a (a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 46750/3263808. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(a (^x2.x2)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(a (^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(a (^x1.x1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.z))) 9. ==[ beta ]==> ((^y.y)(a (^z.z))) 10. ==[ alpha ]==> ((^x.x)(a (^y.y))) 11. ==[ beta ]==> (a (^y.y)) 12. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 46751/3263889. ------ 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)(^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. ------ 46752/3263952. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((a a) a)(^y.y))) REDUCED to normal form. ------ 46753/3263979. ------ 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))(^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. ------ 46754/3264033. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z) a)(^x1.(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. ------ 46755/3264060. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(y y))((a (^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a (^y.y))(^z.(^x1.x1)))((a (^y.y))(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 46756/3264087. ------ 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. ------ 46757/3264114. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a) a) a)) REDUCED to normal form. ------ 46758/3264141. ------ 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. ------ 46759/3264177. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))(^z.a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.a))) 5. ==[ beta ]==> (((a a)(a a))((^y.a)(^y.a))) 6. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.a))) 7. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 46760/3264204. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.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. ------ 46761/3264231. ------ 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.(^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. ------ 46762/3264330. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.b) c)((^y.(y y)) c)) 3. ==[ beta ]==> (b ((^y.(y y)) c)) 4. ==[ alpha ]==> (b ((^x.(x x)) c)) 5. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 46763/3264393. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 46764/3264573. ------ 1. ==[ start ]==> (((a b) c)(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a b) c)(((^x.x)(^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. ------ 46765/3264600. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a (a a)) b)) 3. ==[ beta ]==> (((a a) b)((a (a a)) b)) REDUCED to normal form. ------ 46766/3264672. ------ 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)(b (a (a a)))) 4. ==[ alpha ]==> ((^x.x)(b (a (a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 46767/3264708. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.(^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. ------ 46768/3264726. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a (a a))(a a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a (a a))(a a))) REDUCED to normal form. ------ 46769/3264762. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a) c)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a) c)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a) c)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a) c)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 46770/3264807. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a a)(a (a a)))) 3. ==[ beta ]==> (b ((a a)(a (a a)))) REDUCED to normal form. ------ 46771/3264843. ------ 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. ------ 46772/3264870. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 46773/3264906. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 46774/3264933. ------ 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. ------ 46775/3264960. ------ 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))) 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. ------ 46776/3264987. ------ 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. ------ 46777/3265014. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.a))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.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. ------ 46778/3265041. ------ 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)))) 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. ------ 46779/3265122. ------ 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. ------ 46780/3265149. ------ 1. ==[ start ]==> ((a (b a))(a (^a.(a a)))) 2. ==[ alpha ]==> ((a (b a))(a (^x.(x x)))) REDUCED to normal form. ------ 46781/3265320. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(a ((^z.z) a))) 3. ==[ beta ]==> (b (a ((^z.z) a))) 4. ==[ alpha ]==> (b (a ((^x.x) a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 46782/3265383. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.a) c)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.y) c)) 3. ==[ beta ]==> ((((a a)(^x.x)) b) c) REDUCED to normal form. ------ 46783/3265428. ------ 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. ------ 46784/3265491. ------ 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. ------ 46785/3265509. ------ 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 b)(a b))(a (a (^y.y)))) 4. ==[ alpha ]==> (((a b)(a b))(a (a (^x.x)))) REDUCED to normal form. ------ 46786/3265518. ------ 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. ------ 46787/3265572. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 46788/3265590. ------ 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. ------ 46789/3265599. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a a) a)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a a) a)) REDUCED to normal form. ------ 46790/3265626. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.z) a)) 3. ==[ beta ]==> (((a a)(^y.a))((^z.z) a)) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y) a)) 5. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 46791/3265652. ------ 1. ==[ start ]==> (^a.(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (^x.(((x x)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 46792/3265653. ------ 1. ==[ start ]==> (a (((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (a (((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 46793/3267366. ------ 1. ==[ start ]==> ((^a.(^a.b))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 46794/3270078. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a))) a) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 46795/3270084. ------ 1. ==[ start ]==> ((^a.a)(((a a)(^a.a))(^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))) REDUCED to normal form. ------ 46796/3270111. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> ((((^y.y)(a a))(^z.a))(((^y.y)(a a))(^z.a))) 4. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((^z.z)(a a))(^x1.a))) 5. ==[ beta ]==> (((a a)(^y.a))(((^z.z)(a a))(^x1.a))) 6. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(a a))(^z.a))) 7. ==[ beta ]==> (((a a)(^x.a))((a a)(^z.a))) 8. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.a))) REDUCED to normal form. ------ 46797/3270138. ------ 1. ==[ start ]==> ((^a.b)((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.b)((a b)(^y.(y y)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 46798/3270219. ------ 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. ------ 46799/3270312. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^b.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 46800/3270834. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 46801/3270903. ------ 1. ==[ start ]==> ((^a.(^b.(^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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 46802/3271029. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^x1.x1) a)(^y1.b))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 46803/3271794. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 46804/3271797. ------ 1. ==[ start ]==> ((a (^a.b))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.b))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.b))(^y.(a a))) REDUCED to normal form. ------ 46805/3272361. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.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. ------ 46806/3272607. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 46807/3272796. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.(^x1.b))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.b))) 5. ==[ beta ]==> ((a a)(^y.(^z.b))) 6. ==[ alpha ]==> ((a a)(^x.(^y.b))) REDUCED to normal form. ------ 46808/3272958. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.((a a) a))) 3. ==[ beta ]==> (b (^z.((a a) a))) 4. ==[ alpha ]==> (b (^x.((a a) a))) REDUCED to normal form. ------ 46809/3273282. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^a.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^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. ------ 46810/3273417. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 46811/3273561. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^a.((^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))(^y.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 46812/3273669. ------ 1. ==[ start ]==> (((a b)(^b.a))(^c.(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(a (a a)))) REDUCED to normal form. ------ 46813/3274092. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^b.((^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 (^x.a)) REDUCED to normal form. ------ 46814/3274173. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(^x1.a))) 3. ==[ beta ]==> (b (^z.(^x1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 46815/3274236. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(a (^z.z)))) REDUCED to normal form. ------ 46816/3274308. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^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. ------ 46817/3274362. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^b.(^a.(^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. ------ 46818/3274371. ------ 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. ------ 46819/3274443. ------ 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. ------ 46820/3274452. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^a.b)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.b)) REDUCED to normal form. ------ 46821/3274479. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(z z))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(z z))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(y y))) REDUCED to normal form. ------ 46822/3274506. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^a.a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 46823/3274518. ------ 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. ------ 46824/3274545. ------ 1. ==[ start ]==> ((a (a a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((a (a a))(((^x.x)(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. ------ 46825/3274554. ------ 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. ------ 46826/3274572. ------ 1. ==[ start ]==> ((a b)((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((a b)((a b)(^x.(x x)))) REDUCED to normal form. ------ 46827/3274581. ------ 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. ------ 46828/3274653. ------ 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. ------ 46829/3274662. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 46830/3274689. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^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. ------ 46831/3274716. ------ 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 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. ------ 46832/3274743. ------ 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. ------ 46833/3274788. ------ 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. ------ 46834/3274851. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.a)((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.a)((^y.b)(^z.(z z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 46835/3274932. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(^z.b))) 5. ==[ beta ]==> (a ((^y.(y y))(^z.b))) 6. ==[ alpha ]==> (a ((^x.(x x))(^y.b))) 7. ==[ beta ]==> (a ((^y.b)(^y.b))) 8. ==[ alpha ]==> (a ((^x.b)(^y.b))) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 46836/3274959. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((^y.a)(^z.(a a))) 6. ==[ alpha ]==> ((^x.a)(^y.(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 46837/3274995. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(b ((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^y.y))(b ((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 46838/3275085. ------ 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. ------ 46839/3275103. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a b)((^y.y) a))) 3. ==[ beta ]==> ((a a)((a b)((^y.y) a))) 4. ==[ alpha ]==> ((a a)((a b)((^x.x) a))) 5. ==[ beta ]==> ((a a)((a b) a)) REDUCED to normal form. ------ 46840/3275184. ------ 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. ------ 46841/3275211. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x) a)(a b))) 3. ==[ beta ]==> (((a (a a)) a)(a (a b))) REDUCED to normal form. ------ 46842/3275238. ------ 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.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((a (^y.y))(a a))) REDUCED to normal form. ------ 46843/3275256. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(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. ------ 46844/3275265. ------ 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. ------ 46845/3275337. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 46846/3275355. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((a b)(^x.a))) REDUCED to normal form. ------ 46847/3275382. ------ 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 z)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 46848/3275409. ------ 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. ------ 46849/3275463. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.b))) 5. ==[ beta ]==> ((a (^x.x))(a (^z.b))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.b))) REDUCED to normal form. ------ 46850/3275472. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.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. ------ 46851/3275499. ------ 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.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. ------ 46852/3275607. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.b)(^b.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. ------ 46853/3275814. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(a a)) b)) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(a a)) b)) 4. ==[ alpha ]==> ((a ((^x.x) 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 a)) REDUCED to normal form. ------ 46854/3275841. ------ 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. ------ 46855/3275985. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(b (^z.(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(b (^z.(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(b (^z.(a a)))) 5. ==[ beta ]==> (a (b (^z.(a a)))) 6. ==[ alpha ]==> (a (b (^x.(a a)))) REDUCED to normal form. ------ 46856/3276066. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (((a a) a)((^y.b)(a (^z.z)))) 4. ==[ alpha ]==> (((a a) a)((^x.b)(a (^y.y)))) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 46857/3276147. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(z z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a a)((^y.(y y))((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((a a)((^x.(x x))((^y.y)(^z.z)))) 9. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((^y.y)(^z.z)))) 10. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 11. ==[ beta ]==> ((a a)((^y.y)((^z.z)(^x1.x1)))) 12. ==[ alpha ]==> ((a a)((^x.x)((^y.y)(^z.z)))) 13. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 14. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 15. ==[ beta ]==> ((a a)(^y.y)) 16. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 46858/3276228. ------ 1. ==[ start ]==> ((a (^a.b))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.b))((^z.z)(a a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.y)(a a))) 5. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 46859/3276246. ------ 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. ------ 46860/3276273. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a b) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a b) b)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a b) b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b) b)) REDUCED to normal form. ------ 46861/3276399. ------ 1. ==[ start ]==> (((^a.b) a)(c ((a a) a))) 2. ==[ alpha ]==> (((^x.b) a)(c ((a a) a))) 3. ==[ beta ]==> (b (c ((a a) a))) REDUCED to normal form. ------ 46862/3276417. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(^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. ------ 46863/3276561. ------ 1. ==[ start ]==> ((((a a) a) b)((a (a a))(a (a a)))) REDUCED to normal form. ------ 46864/3276588. ------ 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. ------ 46865/3276606. ------ 1. ==[ start ]==> (((^a.a)(a b))(c (^c.a))) 2. ==[ alpha ]==> (((^x.x)(a b))(c (^y.a))) 3. ==[ beta ]==> ((a b)(c (^y.a))) 4. ==[ alpha ]==> ((a b)(c (^x.a))) REDUCED to normal form. ------ 46866/3276615. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 46867/3276633. ------ 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)(b (^z.b))) 4. ==[ alpha ]==> ((^x.x)(b (^y.b))) 5. ==[ beta ]==> (b (^y.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 46868/3276687. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.b)(a a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.b)(a a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.b)(a a))) 5. ==[ beta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 46869/3276768. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 46870/3276795. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.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. ------ 46871/3276813. ------ 1. ==[ start ]==> (((a a)(a b))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a)(a b))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 46872/3276840. ------ 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. ------ 46873/3276867. ------ 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. ------ 46874/3276894. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((a a) a) b)) REDUCED to normal form. ------ 46875/3277011. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(^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. ------ 46876/3277038. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.b))) 5. ==[ beta ]==> ((^y.y)(^z.b)) 6. ==[ alpha ]==> ((^x.x)(^y.b)) 7. ==[ beta ]==> (^y.b) 8. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 46877/3277173. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 46878/3277182. ------ 1. ==[ start ]==> (((a b) b)((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((a (^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b) b)((a (^x.x))(^z.z))) 4. ==[ alpha ]==> (((a b) b)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 46879/3277209. ------ 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. ------ 46880/3277227. ------ 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. ------ 46881/3277254. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^c.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.a)(a a))) 3. ==[ beta ]==> ((^y.y)((^z.a)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a a))) 5. ==[ beta ]==> ((^y.a)(a a)) 6. ==[ alpha ]==> ((^x.a)(a a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 46882/3277308. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))((^z1.z1) a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))((^z1.z1) a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1) a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))((^y1.y1) a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))((^x1.x1) a))) 9. ==[ beta ]==> ((^y.y)((^z.(z z))((^x1.x1) a))) 10. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z) a))) 11. ==[ beta ]==> ((^y.(y y))((^z.z) a)) 12. ==[ alpha ]==> ((^x.(x x))((^y.y) a)) 13. ==[ beta ]==> (((^y.y) a)((^y.y) a)) 14. ==[ alpha ]==> (((^x.x) a)((^y.y) a)) 15. ==[ beta ]==> (a ((^y.y) a)) 16. ==[ alpha ]==> (a ((^x.x) a)) 17. ==[ beta ]==> (a a) REDUCED to normal form. ------ 46883/3277389. ------ 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 ((^z.z)((a a) a))) 4. ==[ alpha ]==> (b ((^x.x)((a a) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 46884/3277596. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((((a a) a) a)((^y.(^z.z)) b)) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y)) b)) 5. ==[ beta ]==> ((((a a) a) a)(^y.y)) 6. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 46885/3277614. ------ 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. ------ 46886/3277623. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(a a)) c)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(y y)) c)) 3. ==[ beta ]==> (((a b)(a (^x.x)))(c c)) REDUCED to normal form. ------ 46887/3277713. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(a (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(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. ------ 46888/3277848. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 46889/3277929. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 46890/3277956. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 46891/3277965. ------ 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. ------ 46892/3277992. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.b))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.b))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.b))(a (^y.y))) REDUCED to normal form. ------ 46893/3278046. ------ 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. ------ 46894/3278073. ------ 1. ==[ start ]==> ((((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))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((a (^y.y)) a)) REDUCED to normal form. ------ 46895/3278091. ------ 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 (b (^z.(z z)))) 4. ==[ alpha ]==> (b (b (^x.(x x)))) REDUCED to normal form. ------ 46896/3278100. ------ 1. ==[ start ]==> (((a b)(^b.a))((a a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a a)(a (a a)))) REDUCED to normal form. ------ 46897/3278190. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 46898/3278217. ------ 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 z)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a a)(^y.(y y)))) REDUCED to normal form. ------ 46899/3278244. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a (a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a (a a)) a)) 3. ==[ beta ]==> ((a (a b))((a (a a)) a)) REDUCED to normal form. ------ 46900/3278271. ------ 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. ------ 46901/3278352. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 46902/3278379. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.a) b)) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.a) b)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a) b)) 5. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 46903/3278523. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> (b ((^z.z)((^x1.x1) 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. ------ 46904/3278604. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (b ((^z.z)(^x1.a))) 4. ==[ alpha ]==> (b ((^x.x)(^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 46905/3278667. ------ 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. ------ 46906/3278712. ------ 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. ------ 46907/3278739. ------ 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 (^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. ------ 46908/3278775. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(b (a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(b (a a))) 3. ==[ beta ]==> ((a (^y.(a a)))(b (a a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(b (a a))) REDUCED to normal form. ------ 46909/3278793. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a b))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a b)(a b))(^y.(^z.z))) 6. ==[ alpha ]==> (((a b)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 46910/3278802. ------ 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. ------ 46911/3278856. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(b a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(b a)) REDUCED to normal form. ------ 46912/3278874. ------ 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. ------ 46913/3278883. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(a b)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(a b)) REDUCED to normal form. ------ 46914/3278910. ------ 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. ------ 46915/3278937. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(a a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 46916/3280659. ------ 1. ==[ start ]==> ((^a.(^a.b))(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 46917/3282864. ------ 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 (^x.a)) REDUCED to normal form. ------ 46918/3283371. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a))) b) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 46919/3283395. ------ 1. ==[ start ]==> ((^a.(^a.a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 46920/3283476. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 46921/3283623. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^b.(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(z a))) REDUCED to normal form. ------ 46922/3283638. ------ 1. ==[ start ]==> ((^a.(^b.a))((b a) a)) 2. ==[ alpha ]==> ((^x.(^y.x))((b a) a)) 3. ==[ beta ]==> (^y.((b a) a)) 4. ==[ alpha ]==> (^x.((b a) a)) REDUCED to normal form. ------ 46923/3283902. ------ 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) 4. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 46924/3283980. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a b)((^y.y) a))) 3. ==[ beta ]==> (((a b)((^y.y) a))(((a b)((^y.y) a))((a b)((^y.y) a)))) 4. ==[ alpha ]==> (((a b)((^x.x) a))(((a b)((^y.y) a))((a b)((^z.z) a)))) 5. ==[ beta ]==> (((a b) a)(((a b)((^y.y) a))((a b)((^z.z) a)))) 6. ==[ alpha ]==> (((a b) a)(((a b)((^x.x) a))((a b)((^y.y) a)))) 7. ==[ beta ]==> (((a b) a)(((a b) a)((a b)((^y.y) a)))) 8. ==[ alpha ]==> (((a b) a)(((a b) a)((a b)((^x.x) a)))) 9. ==[ beta ]==> (((a b) a)(((a b) a)((a b) a))) REDUCED to normal form. ------ 46925/3284205. ------ 1. ==[ start ]==> ((^a.(^b.(^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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 46926/3284658. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 46927/3284763. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> (((((^y.y)(^z.z))(a (a a)))(((^y.y)(^z.z))(a (a a))))(((^y.y)(^z.z))(a (a a)))) 4. ==[ alpha ]==> (((((^x.x)(^y.y))(a (a a)))(((^z.z)(^x1.x1))(a (a a))))(((^y1.y1)(^z1.z1))(a (a a)))) 5. ==[ beta ]==> ((((^y.y)(a (a a)))(((^z.z)(^x1.x1))(a (a a))))(((^y1.y1)(^z1.z1))(a (a a)))) 6. ==[ alpha ]==> ((((^x.x)(a (a a)))(((^y.y)(^z.z))(a (a a))))(((^x1.x1)(^y1.y1))(a (a a)))) 7. ==[ beta ]==> (((a (a a))(((^y.y)(^z.z))(a (a a))))(((^x1.x1)(^y1.y1))(a (a a)))) 8. ==[ alpha ]==> (((a (a a))(((^x.x)(^y.y))(a (a a))))(((^z.z)(^x1.x1))(a (a a)))) 9. ==[ beta ]==> (((a (a a))((^y.y)(a (a a))))(((^z.z)(^x1.x1))(a (a a)))) 10. ==[ alpha ]==> (((a (a a))((^x.x)(a (a a))))(((^y.y)(^z.z))(a (a a)))) 11. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y)(^z.z))(a (a a)))) 12. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(^y.y))(a (a a)))) 13. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)(a (a a)))) 14. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)(a (a a)))) 15. ==[ beta ]==> (((a (a a))(a (a a)))(a (a a))) REDUCED to normal form. ------ 46928/3284892. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 46929/3285096. ------ 1. ==[ start ]==> ((^a.(^a.b))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((a a)(^z.(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 46930/3285099. ------ 1. ==[ start ]==> ((a (^a.b))(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(^z.(a a)))) REDUCED to normal form. ------ 46931/3285276. ------ 1. ==[ start ]==> ((^a.(a b))(c ((a a) a))) 2. ==[ alpha ]==> ((^x.(x b))(c ((a a) a))) 3. ==[ beta ]==> ((c ((a a) a)) b) REDUCED to normal form. ------ 46932/3285540. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 46933/3285663. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a) a)(^b.(^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. ------ 46934/3286107. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.b))) REDUCED to normal form. ------ 46935/3286260. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^c.(^c.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. ------ 46936/3286269. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.((a a) a))) REDUCED to normal form. ------ 46937/3286440. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(^z.((z z) z))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(^z.((z z) z))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.((y y) y))) 5. ==[ beta ]==> ((a (a a))(^y.((y y) y))) 6. ==[ alpha ]==> ((a (a a))(^x.((x x) x))) REDUCED to normal form. ------ 46938/3286545. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> ((((a (^z.z))(a (a a)))((a (^z.z))(a (a a))))(^y.y)) 4. ==[ alpha ]==> ((((a (^x.x))(a (a a)))((a (^y.y))(a (a a))))(^z.z)) REDUCED to normal form. ------ 46939/3286719. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 46940/3286728. ------ 1. ==[ start ]==> (((a b) c)(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b) c)(^x.(^z.z))) 4. ==[ alpha ]==> (((a b) c)(^x.(^y.y))) REDUCED to normal form. ------ 46941/3286863. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^b.(^b.(^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. ------ 46942/3286998. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 46943/3287223. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 46944/3287301. ------ 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))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 46945/3287304. ------ 1. ==[ start ]==> ((a (b a))(^c.((^a.a) a))) 2. ==[ alpha ]==> ((a (b a))(^x.((^y.y) a))) 3. ==[ beta ]==> ((a (b a))(^x.a)) REDUCED to normal form. ------ 46946/3287394. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^c.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.a))) 5. ==[ beta ]==> (b (^z.(^x1.a))) 6. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 46947/3287475. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^c.c)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.z)) 3. ==[ beta ]==> (b (^z.z)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 46948/3287664. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^c.b)) 2. ==[ alpha ]==> (((^x.(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. ------ 46949/3287673. ------ 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. ------ 46950/3287727. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 46951/3287745. ------ 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. ------ 46952/3287754. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^b.(a a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(a a))) REDUCED to normal form. ------ 46953/3287781. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 46954/3287808. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 46955/3287838. ------ 1. ==[ start ]==> ((a (^a.a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 46956/3287865. ------ 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. ------ 46957/3287874. ------ 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)(a a)) REDUCED to normal form. ------ 46958/3287892. ------ 1. ==[ start ]==> (((^a.a)(a a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((a b)(^y.(y y)))) 3. ==[ beta ]==> ((a a)((a b)(^y.(y y)))) 4. ==[ alpha ]==> ((a a)((a b)(^x.(x x)))) REDUCED to normal form. ------ 46959/3287901. ------ 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. ------ 46960/3287919. ------ 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. ------ 46961/3287928. ------ 1. ==[ start ]==> (((^a.a) b)((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) 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. ------ 46962/3287955. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 46963/3287973. ------ 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. ------ 46964/3287982. ------ 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. ------ 46965/3288000. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^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. ------ 46966/3288009. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 46967/3288036. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 46968/3288063. ------ 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. ------ 46969/3288081. ------ 1. ==[ start ]==> ((a (^b.a))((b a) a)) 2. ==[ alpha ]==> ((a (^x.a))((b a) a)) REDUCED to normal form. ------ 46970/3288117. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 46971/3288198. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 46972/3288225. ------ 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))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 46973/3288252. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y))(^z.b))) 3. ==[ beta ]==> (((a a)(^x.a))((^z.b)(^z.b))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.b)(^z.b))) 5. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 46974/3288279. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 46975/3288342. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(a (b a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(a (b a))) 3. ==[ beta ]==> (((a a) a)(a (b a))) REDUCED to normal form. ------ 46976/3288369. ------ 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))(a a))) REDUCED to normal form. ------ 46977/3288396. ------ 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. ------ 46978/3288423. ------ 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. ------ 46979/3288576. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 46980/3288621. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(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. ------ 46981/3288648. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a)(a a))(^a.(^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. ------ 46982/3288738. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 46983/3288783. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 46984/3288810. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((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. ------ 46985/3288864. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a)(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a)(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1)) a)) 5. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1)) a)) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) a)) 7. ==[ beta ]==> (((a a)(^y.y)) a) 8. ==[ alpha ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 46986/3288873. ------ 1. ==[ start ]==> (((a (a a)) b)((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 46987/3288900. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.(a a))(^a.(^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. ------ 46988/3288918. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a b) c)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b) c)) 3. ==[ beta ]==> (((^y.y)(^z.z))((a b) c)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a b) c)) 5. ==[ beta ]==> ((^y.y)((a b) c)) 6. ==[ alpha ]==> ((^x.x)((a b) c)) 7. ==[ beta ]==> ((a b) c) REDUCED to normal form. ------ 46989/3288927. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 46990/3288981. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 46991/3289035. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.a)(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.b))) 5. ==[ beta ]==> ((^y.y)((^z.a)(^x1.b))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.b))) 7. ==[ beta ]==> ((^y.a)(^z.b)) 8. ==[ alpha ]==> ((^x.a)(^y.b)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 46992/3289071. ------ 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)(^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. ------ 46993/3289098. ------ 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. ------ 46994/3289125. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(a a))(a a))) 5. ==[ beta ]==> ((a a)(((^y.y)(a a))(a a))) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a))(a a))) 7. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 46995/3289152. ------ 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. ------ 46996/3289179. ------ 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))) 7. ==[ beta ]==> ((a a)(((a a) a) a)) REDUCED to normal form. ------ 46997/3289206. ------ 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))((^y.y)(a (a a)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.x)(a (a a)))) 5. ==[ beta ]==> ((a ((a a) a))(a (a a))) REDUCED to normal form. ------ 46998/3289332. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(a (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)(a (^y.(^z.z)))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 46999/3289359. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(a a))(a a))) 3. ==[ beta ]==> ((((a a) a) a)(a a)) REDUCED to normal form. ------ 47000/3289377. ------ 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. ------ 47001/3289404. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((a a) a)(^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. ------ 47002/3289413. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 47003/3289440. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 47004/3289458. ------ 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)((^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. ------ 47005/3289467. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (a a))(^x.a))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a (a a))(^x.a))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)(^z.z))) 9. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 10. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 47006/3289494. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)((a a) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((a a) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 47007/3289521. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(^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. ------ 47008/3289539. ------ 1. ==[ start ]==> ((a (^a.b))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))((a a)(^y.(a a)))) REDUCED to normal form. ------ 47009/3289710. ------ 1. ==[ start ]==> (((^a.b) a)((^b.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. ------ 47010/3289719. ------ 1. ==[ start ]==> ((a (a b))(c ((a a) a))) REDUCED to normal form. ------ 47011/3289809. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.b) b)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.b) b)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.b) b)) IRREDUCIBLE: cycle. ------ 47012/3289926. ------ 1. ==[ start ]==> (((a a)(^a.b))(c (^c.a))) 2. ==[ alpha ]==> (((a a)(^x.b))(c (^y.a))) REDUCED to normal form. ------ 47013/3289980. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 47014/3289998. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a b)(^y.y))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a b)(^y.y))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a b)(^x.x))) REDUCED to normal form. ------ 47015/3290007. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.b)(a a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x))) b) REDUCED to normal form. ------ 47016/3290034. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.a)((^z.a)(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)((^y.a)(a (^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 47017/3290061. ------ 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.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. ------ 47018/3290079. ------ 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 a))(^y.(y y)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 47019/3290088. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.x))((a (a a))(a (a a)))) REDUCED to normal form. ------ 47020/3290106. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a) a)(^b.(^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. ------ 47021/3290277. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> (b ((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> (b ((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 47022/3290403. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^c.a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a) b)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a) b)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a) b)) 5. ==[ beta ]==> ((^y.y)((^y1.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. ------ 47023/3290493. ------ 1. ==[ start ]==> (((a b) b)(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(c (^x.(^y.y)))) REDUCED to normal form. ------ 47024/3290520. ------ 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. ------ 47025/3290547. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(a (^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(a (^y.b))) REDUCED to normal form. ------ 47026/3290565. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((a a) a)(^z.z))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^z.z))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.y))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 47027/3290574. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^c.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 47028/3290619. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a (a a))(^x1.a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a (a a))(^x1.a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (a a))(^y1.a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (a a))(^y1.a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (a a))(^x1.a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))(^x1.a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(^z.a))) 9. ==[ beta ]==> ((^y.y)((a (a a))(^z.a))) 10. ==[ alpha ]==> ((^x.x)((a (a a))(^y.a))) 11. ==[ beta ]==> ((a (a a))(^y.a)) 12. ==[ alpha ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 47029/3290628. ------ 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) 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. ------ 47030/3290655. ------ 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 (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)(a (a a)))) 5. ==[ beta ]==> ((^y.(y y))((^z.a)(a (a a)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.a)(a (a a)))) 7. ==[ beta ]==> (((^y.a)(a (a a)))((^y.a)(a (a a)))) 8. ==[ alpha ]==> (((^x.a)(a (a a)))((^y.a)(a (a a)))) 9. ==[ beta ]==> (a ((^y.a)(a (a a)))) 10. ==[ alpha ]==> (a ((^x.a)(a (a a)))) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 47031/3290682. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 47032/3290700. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a a)(^z.a))) 3. ==[ beta ]==> (b ((a a)(^z.a))) 4. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 47033/3290709. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 47034/3290853. ------ 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)(^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. ------ 47035/3290880. ------ 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. ------ 47036/3290907. ------ 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) 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. ------ 47037/3290934. ------ 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. ------ 47038/3290961. ------ 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.z) a))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) 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. ------ 47039/3290988. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 47040/3291159. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 47041/3291168. ------ 1. ==[ start ]==> (((a b) c)((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.x)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b) c)((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a b) c)((^x.x)(^y.y))) 5. ==[ beta ]==> (((a b) c)(^y.y)) 6. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 47042/3291195. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.(^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. ------ 47043/3291222. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(^x1.x1))(^z.(^x1.x1)))) 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. ------ 47044/3291276. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 47045/3291303. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.a)(^b.(^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. ------ 47046/3291321. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(^z.z)) a)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y)) 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. ------ 47047/3291411. ------ 1. ==[ start ]==> (((a b)(^b.a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(b (^y.(y y)))) REDUCED to normal form. ------ 47048/3291438. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 47049/3291465. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(z z))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((a a)(a a))) REDUCED to normal form. ------ 47050/3291636. ------ 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. ------ 47051/3291663. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(a (a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(a (a (a a)))) 3. ==[ beta ]==> (((a b) a)(a (a (a a)))) REDUCED to normal form. ------ 47052/3291690. ------ 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. ------ 47053/3291717. ------ 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)))) REDUCED to normal form. ------ 47054/3291744. ------ 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. ------ 47055/3291834. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a a)(^z.a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a a)(^z.a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a a)(^z.a))) 5. ==[ beta ]==> (b ((a a)(^z.a))) 6. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 47056/3291915. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a a) c)) 3. ==[ beta ]==> (b ((a a) c)) REDUCED to normal form. ------ 47057/3291978. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(b (^y.(^z.z)))) REDUCED to normal form. ------ 47058/3292023. ------ 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. ------ 47059/3292050. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 47060/3292086. ------ 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))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 47061/3292104. ------ 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. ------ 47062/3292113. ------ 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. ------ 47063/3292167. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 47064/3292185. ------ 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. ------ 47065/3292194. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y)(a a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(a a)) REDUCED to normal form. ------ 47066/3292221. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 47067/3292248. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^x1.x1))) REDUCED to normal form. ------ 47068/3296769. ------ 1. ==[ start ]==> ((^a.b)((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.b)((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 47069/3296850. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^z.(^x1.x1))((a a) a))(^y.y)) 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. ------ 47070/3297039. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(a a))(^b.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. ------ 47071/3297210. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(b ((a a)(^z.z)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 47072/3297660. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(x1 x1))((a a) a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 47073/3297987. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 47074/3298446. ------ 1. ==[ start ]==> (((a a)((a a) a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(^x.((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)((a a) a))(^x.(a a))) REDUCED to normal form. ------ 47075/3298605. ------ 1. ==[ start ]==> ((^a.(a b))((^b.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. ------ 47076/3299067. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(^x1.(a x1))) 3. ==[ eta ]==> ((((^x.x) a)((^y.y)(^z.z))) a) 4. ==[ beta ]==> ((a ((^y.y)(^z.z))) a) 5. ==[ alpha ]==> ((a ((^x.x)(^y.y))) a) 6. ==[ beta ]==> ((a (^y.y)) a) 7. ==[ alpha ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 47077/3299199. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.a)(^b.(^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. ------ 47078/3299598. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^c.(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 47079/3299769. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(^z.a))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.a))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.a))) REDUCED to normal form. ------ 47080/3299913. ------ 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 ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 47081/3300057. ------ 1. ==[ start ]==> (((a b) c)(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 47082/3300210. ------ 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) a))(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^x.(^z.z))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 47083/3300444. ------ 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)))) REDUCED to normal form. ------ 47084/3300552. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 47085/3300630. ------ 1. ==[ start ]==> ((^a.(b a))(b (^b.a))) 2. ==[ alpha ]==> ((^x.(b x))(b (^y.a))) 3. ==[ eta ]==> (b (b (^y.a))) 4. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 47086/3301002. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^c.b)) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.b)) REDUCED to normal form. ------ 47087/3301056. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^b.b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 47088/3301083. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^c.(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 47089/3301110. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^c.a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.a)) 3. ==[ beta ]==> (((a a)(^y.a))(^z.a)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.a)) REDUCED to normal form. ------ 47090/3301137. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^b.a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.a)) REDUCED to normal form. ------ 47091/3301185. ------ 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. ------ 47092/3301212. ------ 1. ==[ start ]==> (((a a) a)(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a a) a)(((^x.x)(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. ------ 47093/3301221. ------ 1. ==[ start ]==> ((a b)((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a b)((^x.(a a))((^y.y) a))) 3. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 47094/3301239. ------ 1. ==[ start ]==> (((a a)(^a.a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a b)(^y.(y y)))) REDUCED to normal form. ------ 47095/3301266. ------ 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. ------ 47096/3301302. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 47097/3301320. ------ 1. ==[ start ]==> (((a a) b)((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a a) b)((a (a a))(^x.b))) REDUCED to normal form. ------ 47098/3301347. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(a (^z.(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(a (^y.(a a)))) REDUCED to normal form. ------ 47099/3301455. ------ 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) REDUCED to normal form. ------ 47100/3301491. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.(a a))(^b.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. ------ 47101/3301662. ------ 1. ==[ start ]==> ((a (^a.(a a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 47102/3301752. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(a a)) c)) 3. ==[ beta ]==> ((a a)((^y.(a a)) c)) 4. ==[ alpha ]==> ((a a)((^x.(a a)) c)) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 47103/3301770. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a b)((^z.z) a))) 3. ==[ beta ]==> ((^y.(y y))((a b)((^z.z) a))) 4. ==[ alpha ]==> ((^x.(x x))((a b)((^y.y) a))) 5. ==[ beta ]==> (((a b)((^y.y) a))((a b)((^y.y) 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. ------ 47104/3301797. ------ 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. ------ 47105/3301851. ------ 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. ------ 47106/3301878. ------ 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. ------ 47107/3301905. ------ 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)((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. ------ 47108/3301968. ------ 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. ------ 47109/3302004. ------ 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 a)) REDUCED to normal form. ------ 47110/3302031. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.b)((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 47111/3302076. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b b)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b b)(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b b)((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b b)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((b b)(^y.(^z.z))) 8. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 47112/3302085. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 47113/3302112. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(z z))((a a) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))((a a) a))) 5. ==[ beta ]==> ((a (^x.x))(((a a) a)((a a) a))) REDUCED to normal form. ------ 47114/3302211. ------ 1. ==[ start ]==> (((a (a a)) b)(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a)) b)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 47115/3302238. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z)(a a)) b)) 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. ------ 47116/3302265. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a b) c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b) c)) REDUCED to normal form. ------ 47117/3302409. ------ 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)(^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. ------ 47118/3302580. ------ 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)(^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. ------ 47119/3302634. ------ 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)(^y.a))((a (^z.z))(a b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (^z.z))(a b))) 5. ==[ beta ]==> (a ((a (^z.z))(a b))) 6. ==[ alpha ]==> (a ((a (^x.x))(a b))) REDUCED to normal form. ------ 47120/3302697. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(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. ------ 47121/3302751. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a)(^x1.a))) REDUCED to normal form. ------ 47122/3302778. ------ 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))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^x.(x x)))((^z.z)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(^z.(z z)))) 7. ==[ beta ]==> ((a (^x.(x x)))(^z.(z z))) 8. ==[ alpha ]==> ((a (^x.(x x)))(^y.(y y))) REDUCED to normal form. ------ 47123/3302805. ------ 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. ------ 47124/3302859. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 47125/3302895. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.x)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.y)(a a))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.x)(a a))) 5. ==[ beta ]==> (((a a)((a a) a))(a a)) REDUCED to normal form. ------ 47126/3302922. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(a a))(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(a a))(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 47127/3302949. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 47128/3303003. ------ 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))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 47129/3303030. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 47130/3303057. ------ 1. ==[ start ]==> ((a (a b))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((a (a b))((^x.a)(^y.a))) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 47131/3303066. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(c ((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(c ((a a) a))) 3. ==[ beta ]==> ((^y.b)(c ((a a) a))) 4. ==[ alpha ]==> ((^x.b)(c ((a a) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 47132/3303147. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a b)(a a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a b)(a a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a b)(a a))) IRREDUCIBLE: cycle. ------ 47133/3303228. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a (a a))(a (a a)))) 3. ==[ beta ]==> (b ((a (a a))(a (a a)))) REDUCED to normal form. ------ 47134/3303255. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^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)(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. ------ 47135/3303282. ------ 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 (^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. ------ 47136/3303345. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a b)(^y.y))) REDUCED to normal form. ------ 47137/3303372. ------ 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 REDUCED to normal form. ------ 47138/3303399. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(^x1.x1))(^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. ------ 47139/3303426. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 47140/3303462. ------ 1. ==[ start ]==> (((a a)(a b))((^b.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. ------ 47141/3303489. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 47142/3303516. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((^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 (^y.y))((^z.z)(a b))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(a b))) 7. ==[ beta ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 47143/3303543. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.b)(^y.y))) 3. ==[ beta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 47144/3303597. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 47145/3303624. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(x x))(^y.(y y)))) 3. ==[ beta ]==> (((a b)(a a))((^y.(y y))(^y.(y y)))) 4. ==[ alpha ]==> (((a b)(a a))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 47146/3303651. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.a)(^b.(^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. ------ 47147/3303660. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))(c ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(a a))(c ((^y.y)(^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 47148/3303687. ------ 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. ------ 47149/3303741. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a) a)(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a) a)(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)(a a))) 5. ==[ beta ]==> ((^y.y)(((a a) a)(a a))) 6. ==[ alpha ]==> ((^x.x)(((a a) a)(a a))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 47150/3303822. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1) a)(a (a a)))) 3. ==[ beta ]==> (b (((^x1.x1) a)(a (a a)))) 4. ==[ alpha ]==> (b (((^x.x) a)(a (a a)))) 5. ==[ beta ]==> (b (a (a (a a)))) REDUCED to normal form. ------ 47151/3303876. ------ 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. ------ 47152/3303912. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((a a) a)(^z.z))) REDUCED to normal form. ------ 47153/3303966. ------ 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. ------ 47154/3303993. ------ 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)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z) a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)(^z.(z z)))) 7. ==[ beta ]==> ((((^y.y) a)(^z.(z z)))(((^y.y) a)(^z.(z z)))) 8. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z) a)(^x1.(x1 x1)))) 9. ==[ beta ]==> ((a (^y.(y y)))(((^z.z) a)(^x1.(x1 x1)))) 10. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)(^z.(z z)))) 11. ==[ beta ]==> ((a (^x.(x x)))(a (^z.(z z)))) 12. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.(y y)))) REDUCED to normal form. ------ 47155/3304020. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 47156/3304047. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a a)(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 47157/3304074. ------ 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)) REDUCED to normal form. ------ 47158/3304110. ------ 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.(^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. ------ 47159/3304137. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(a a))(^b.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. ------ 47160/3304164. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.a)(^y.(y y)))) 5. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 47161/3304191. ------ 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.(^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. ------ 47162/3304263. ------ 1. ==[ start ]==> (((^a.b) c)((^b.(^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. ------ 47163/3304362. ------ 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))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 47164/3304506. ------ 1. ==[ start ]==> (((a b) c)((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 47165/3304533. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 47166/3304560. ------ 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. ------ 47167/3304659. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(a ((^x.x)(^y.y)))) 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. ------ 47168/3304695. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(y1 y1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1)) b)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1)) b)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z)) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 47169/3304722. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.a) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.a) c)) 3. ==[ beta ]==> ((((a a) a)(^x.(x x))) a) REDUCED to normal form. ------ 47170/3304740. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (b ((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. ------ 47171/3304803. ------ 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. ------ 47172/3304839. ------ 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) REDUCED to normal form. ------ 47173/3304866. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 47174/3304893. ------ 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. ------ 47175/3304920. ------ 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. ------ 47176/3304947. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 9. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 10. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 11. ==[ beta ]==> a REDUCED to normal form. ------ 47177/3304974. ------ 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. ------ 47178/3305001. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 47179/3305082. ------ 1. ==[ start ]==> ((a (b a))(b (^b.a))) 2. ==[ alpha ]==> ((a (b a))(b (^x.a))) REDUCED to normal form. ------ 47180/3305172. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(b c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(b c)) 3. ==[ beta ]==> (((^y.b)(^y.b))(b c)) 4. ==[ alpha ]==> (((^x.b)(^y.b))(b c)) 5. ==[ beta ]==> (b (b c)) REDUCED to normal form. ------ 47181/3305253. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(b (a (^z.z)))) 3. ==[ beta ]==> (b (b (a (^z.z)))) 4. ==[ alpha ]==> (b (b (a (^x.x)))) REDUCED to normal form. ------ 47182/3305316. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.z)) b)) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 47183/3305361. ------ 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. ------ 47184/3305388. ------ 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)(b b)) 4. ==[ alpha ]==> ((^x.x)(b b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 47185/3305424. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a (^z.z)) a)) 3. ==[ beta ]==> ((a (^y.(a a)))((a (^z.z)) a)) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y)) a)) REDUCED to normal form. ------ 47186/3305442. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(b (a a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(b (a a))) 3. ==[ beta ]==> (((a b)(a b))(b (a a))) REDUCED to normal form. ------ 47187/3305451. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a a) b)) REDUCED to normal form. ------ 47188/3305505. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.a) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z) b)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) b) REDUCED to normal form. ------ 47189/3305523. ------ 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. ------ 47190/3305532. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a a)(^y.y))) REDUCED to normal form. ------ 47191/3305559. ------ 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. ------ 47192/3305586. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^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. ------ 47193/3305612. ------ 1. ==[ start ]==> (^a.((b a)(^a.a))) 2. ==[ alpha ]==> (^x.((b x)(^y.y))) REDUCED to normal form. ------ 47194/3305613. ------ 1. ==[ start ]==> (a ((b a)(^a.a))) 2. ==[ alpha ]==> (a ((b a)(^x.x))) REDUCED to normal form. ------ 47195/3305868. ------ 1. ==[ start ]==> ((^a.(^b.a))(^b.(b a))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(z a))) 3. ==[ beta ]==> (^y.(^z.(z a))) 4. ==[ alpha ]==> (^x.(^y.(y a))) REDUCED to normal form. ------ 47196/3310071. ------ 1. ==[ start ]==> ((^a.a)((b a)(^a.a))) 2. ==[ alpha ]==> ((^x.x)((b a)(^y.y))) 3. ==[ beta ]==> ((b a)(^y.y)) 4. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 47197/3310098. ------ 1. ==[ start ]==> ((^a.(a a))(((a a)(^a.a))(^a.(^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. ------ 47198/3310125. ------ 1. ==[ start ]==> ((^a.b)(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.b)(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 47199/3310161. ------ 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. ------ 47200/3310323. ------ 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. ------ 47201/3310326. ------ 1. ==[ start ]==> ((a (^b.a))(^b.(b a))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(y a))) REDUCED to normal form. ------ 47202/3310665. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(a a)) c)) 3. ==[ beta ]==> (((^y.(a a)) c)(((^y.(a a)) c)((^y.(a a)) c))) 4. ==[ alpha ]==> (((^x.(a a)) c)(((^y.(a a)) c)((^z.(a a)) c))) 5. ==[ beta ]==> ((a a)(((^y.(a a)) c)((^z.(a a)) c))) 6. ==[ alpha ]==> ((a a)(((^x.(a a)) c)((^y.(a a)) c))) 7. ==[ beta ]==> ((a a)((a a)((^y.(a a)) c))) 8. ==[ alpha ]==> ((a a)((a a)((^x.(a a)) c))) 9. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 47203/3310890. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 47204/3311109. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^b.((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. ------ 47205/3311577. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y) b)(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (b (^y.((^z.z)(a a)))) 6. ==[ alpha ]==> (b (^x.((^y.y)(a a)))) 7. ==[ beta ]==> (b (^x.(a a))) REDUCED to normal form. ------ 47206/3311781. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(^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. ------ 47207/3312225. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^c.(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(a b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(a b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a b))) REDUCED to normal form. ------ 47208/3312243. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(^y.(^z.(y y)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.(^z.(y y)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(^y.(x x)))) REDUCED to normal form. ------ 47209/3312348. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (^y.(((^z.(z z))(a (a a)))((^z.(z z))(a (a a))))) 4. ==[ alpha ]==> (^x.(((^y.(y y))(a (a a)))((^z.(z z))(a (a a))))) 5. ==[ beta ]==> (^x.(((a (a a))(a (a a)))((^z.(z z))(a (a a))))) 6. ==[ alpha ]==> (^x.(((a (a a))(a (a a)))((^y.(y y))(a (a a))))) 7. ==[ beta ]==> (^x.(((a (a a))(a (a a)))((a (a a))(a (a a))))) REDUCED to normal form. ------ 47210/3312792. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^c.((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.((a a) a))) REDUCED to normal form. ------ 47211/3312810. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^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. ------ 47212/3313413. ------ 1. ==[ start ]==> (((a b) c)(^d.e)) 2. ==[ alpha ]==> (((a b) c)(^x.e)) REDUCED to normal form. ------ 47213/3313566. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^b.(^b.(^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. ------ 47214/3313800. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 47215/3313908. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^c.d)) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.d)) 3. ==[ beta ]==> (((a b) a)(^y.d)) 4. ==[ alpha ]==> (((a b) a)(^x.d)) REDUCED to normal form. ------ 47216/3313986. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z)) c)) 3. ==[ eta ]==> (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. ------ 47217/3314268. ------ 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. ------ 47218/3314331. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^a.c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.c)) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.c)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.c)) REDUCED to normal form. ------ 47219/3314412. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^c.(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 47220/3314430. ------ 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. ------ 47221/3314466. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^a.b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.b)) 3. ==[ beta ]==> (((a a)(^y.a))(^z.b)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.b)) REDUCED to normal form. ------ 47222/3314493. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(x1 x1))) REDUCED to normal form. ------ 47223/3314532. ------ 1. ==[ start ]==> ((a a)((b a)(^a.a))) 2. ==[ alpha ]==> ((a a)((b a)(^x.x))) REDUCED to normal form. ------ 47224/3314559. ------ 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. ------ 47225/3314586. ------ 1. ==[ start ]==> ((a b)(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((a b)(((^x.x)(a a))(^y.a))) 3. ==[ beta ]==> ((a b)((a a)(^y.a))) 4. ==[ alpha ]==> ((a b)((a a)(^x.a))) REDUCED to normal form. ------ 47226/3314595. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> ((a a)((^y.(a a))((^z.z) a))) 4. ==[ alpha ]==> ((a a)((^x.(a a))((^y.y) a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 47227/3314622. ------ 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. ------ 47228/3314640. ------ 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. ------ 47229/3314676. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((^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. ------ 47230/3314703. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^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. ------ 47231/3314730. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 47232/3314757. ------ 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 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. ------ 47233/3314784. ------ 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. ------ 47234/3314802. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((b a) a)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((b a) a)) REDUCED to normal form. ------ 47235/3314829. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 47236/3314865. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((^y.a)((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> ((^x.a)((^y.(a a))(^z.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 47237/3314892. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.b)(^z1.(z1 z1)))) 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. ------ 47238/3314946. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(^a.a))(^c.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))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 47239/3314973. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^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. ------ 47240/3315117. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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)))) 5. ==[ beta ]==> ((a a)((a a)(a (^y.y)))) 6. ==[ alpha ]==> ((a a)((a a)(a (^x.x)))) REDUCED to normal form. ------ 47241/3315126. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(a a)) c)) 3. ==[ beta ]==> ((a (a (a a)))(a a)) REDUCED to normal form. ------ 47242/3315198. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((a b)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a b)((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a b)((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a b)((^y.y)(^z.z))) 8. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 9. ==[ beta ]==> ((a b)(^y.y)) 10. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 47243/3315225. ------ 1. ==[ start ]==> (((a (a a)) a)((a (a a))((a a) a))) REDUCED to normal form. ------ 47244/3315252. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) a)(a b))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a (a b))) REDUCED to normal form. ------ 47245/3315279. ------ 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 (^z.z))(a a))) REDUCED to normal form. ------ 47246/3315306. ------ 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. ------ 47247/3315351. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 47248/3315369. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a (a a)))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 47249/3315396. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a b)(^b.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. ------ 47250/3315423. ------ 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. ------ 47251/3315450. ------ 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))((^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. ------ 47252/3315486. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 47253/3315513. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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 REDUCED to normal form. ------ 47254/3315567. ------ 1. ==[ start ]==> (((^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)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)((a a)(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)((a a)(^z1.z1)))) 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. ------ 47255/3315621. ------ 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.(^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. ------ 47256/3315648. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.b)(^b.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. ------ 47257/3315702. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(^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. ------ 47258/3315855. ------ 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. ------ 47259/3315882. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.b) c)) 3. ==[ beta ]==> (((^y.y)(a a))((^z.b) c)) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.b) c)) 5. ==[ beta ]==> ((a a)((^y.b) c)) 6. ==[ alpha ]==> ((a a)((^x.b) c)) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 47260/3315999. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(c (^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(c (^z.b))) 3. ==[ beta ]==> (((^y.a)(^y.a))(c (^z.b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(c (^z.b))) 5. ==[ beta ]==> (a (c (^z.b))) 6. ==[ alpha ]==> (a (c (^x.b))) REDUCED to normal form. ------ 47261/3316035. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a a)((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.y) b)((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x) b)((a a)((^y.y)(a a)))) 5. ==[ beta ]==> (b ((a a)((^y.y)(a a)))) 6. ==[ alpha ]==> (b ((a a)((^x.x)(a a)))) 7. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 47262/3316080. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(a a))(a a))) 3. ==[ beta ]==> (((a a) a)((^y.(a a))(a a))) 4. ==[ alpha ]==> (((a a) a)((^x.(a a))(a a))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 47263/3316107. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.b)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.b)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a (^z.z)))) 5. ==[ beta ]==> ((^y.b)(a (^z.z))) 6. ==[ alpha ]==> ((^x.b)(a (^y.y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 47264/3316161. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(a (a a)))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))(a (a a)))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))(a (a a)))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 47265/3316242. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(^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. ------ 47266/3316260. ------ 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. ------ 47267/3316287. ------ 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)(a a)) a)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1)(a a)) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(a a)) a)) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((a a) a)) REDUCED to normal form. ------ 47268/3316314. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((a b) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((a b) b)) 3. ==[ beta ]==> ((a (a (a a)))((a b) b)) REDUCED to normal form. ------ 47269/3316431. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.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. ------ 47270/3316575. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x)(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((((a a) a) b)((^y.y)((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a) b)((^x.x)((^y.y) a))) 5. ==[ beta ]==> ((((a a) a) b)((^y.y) a)) 6. ==[ alpha ]==> ((((a a) a) b)((^x.x) a)) 7. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 47271/3316602. ------ 1. ==[ start ]==> (((a b) a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 47272/3316629. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.b))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.b))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.b))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.b))(a (^y.y))) REDUCED to normal form. ------ 47273/3316683. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 47274/3316701. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(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. ------ 47275/3316782. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 47276/3316809. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> ((a (^x.(a a)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 47277/3316827. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a) a)(^b.(^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. ------ 47278/3316881. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a a)(^x1.b))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a a)(^x1.b))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a a)(^z.b))) 5. ==[ beta ]==> ((a (^y.y))((a a)(^z.b))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.b))) REDUCED to normal form. ------ 47279/3316908. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a b) a)) REDUCED to normal form. ------ 47280/3316935. ------ 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. ------ 47281/3317025. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.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. ------ 47282/3317052. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(^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. ------ 47283/3317196. ------ 1. ==[ start ]==> (((a b) b)(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a b) b)(((^x.x) a)(a (a a)))) 3. ==[ beta ]==> (((a b) b)(a (a (a a)))) REDUCED to normal form. ------ 47284/3317223. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((a (^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)((a (^x.x))(^z.z))) 6. ==[ alpha ]==> (((a a) a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 47285/3317241. ------ 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. ------ 47286/3317250. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a a)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)((a a) a))) REDUCED to normal form. ------ 47287/3317268. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(a (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(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. ------ 47288/3317322. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(a (^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (^y1.y1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 11. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 12. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 47289/3317403. ------ 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)(^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. ------ 47290/3317475. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z)) b)) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y)) b)) 5. ==[ beta ]==> (((a a)(a a))((^y.y) b)) 6. ==[ alpha ]==> (((a a)(a a))((^x.x) b)) 7. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 47291/3317502. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (a a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (a a)) c)) REDUCED to normal form. ------ 47292/3317628. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b) c)(((^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. ------ 47293/3317637. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.(^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. ------ 47294/3317727. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(b (^b.(^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. ------ 47295/3317862. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 47296/3317943. ------ 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))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.(^x1.x1))(^z.(^x1.x1)))) 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. ------ 47297/3317970. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 47298/3317979. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(c ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(c ((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(c a)) REDUCED to normal form. ------ 47299/3318006. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(b (a (a a)))) 3. ==[ beta ]==> ((a (^y.b))(b (a (a a)))) 4. ==[ alpha ]==> ((a (^x.b))(b (a (a a)))) REDUCED to normal form. ------ 47300/3318024. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.(^z.z))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 47301/3318060. ------ 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))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (a a))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))((a (a a))(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 47302/3318087. ------ 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. ------ 47303/3318105. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(c (^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(c (^z.a))) 3. ==[ beta ]==> (b (c (^z.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 47304/3318114. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.a))((a (^y.y)) a)) REDUCED to normal form. ------ 47305/3318141. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a a)(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a a)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(a (a a)))) REDUCED to normal form. ------ 47306/3318204. ------ 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. ------ 47307/3318231. ------ 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. ------ 47308/3318258. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 47309/3318285. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a (a a)) a)) REDUCED to normal form. ------ 47310/3318312. ------ 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. ------ 47311/3318393. ------ 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)) a)) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(z z)) a)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(y y)) a)) 5. ==[ beta ]==> (((a a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 47312/3318420. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.a) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(a a)) a) REDUCED to normal form. ------ 47313/3318447. ------ 1. ==[ start ]==> ((a (b a))((^a.(^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. ------ 47314/3318537. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (b ((^z.(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.z)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 47315/3318618. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(^a.a))(^a.(^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. ------ 47316/3318681. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a (^y.y))(a a))) REDUCED to normal form. ------ 47317/3318726. ------ 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. ------ 47318/3318753. ------ 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))(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. ------ 47319/3318789. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(a c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(a c)) 3. ==[ beta ]==> ((a (^y.(a a)))(a c)) 4. ==[ alpha ]==> ((a (^x.(a a)))(a c)) REDUCED to normal form. ------ 47320/3318807. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 47321/3318816. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(b (a a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(b (a a))) REDUCED to normal form. ------ 47322/3318870. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 47323/3318888. ------ 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. ------ 47324/3318897. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(b a)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(b a)) REDUCED to normal form. ------ 47325/3318924. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(a b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(a b)) 3. ==[ beta ]==> (((a a)(^y.a))(a b)) 4. ==[ alpha ]==> (((a a)(^x.a))(a b)) REDUCED to normal form. ------ 47326/3318951. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(a (a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (a a))) REDUCED to normal form. ------ 47327/3319242. ------ 1. ==[ start ]==> ((^a.(^b.a))(^c.(^d.a))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.a))) 3. ==[ beta ]==> (^y.(^z.(^x1.a))) 4. ==[ alpha ]==> (^x.(^y.(^z.a))) REDUCED to normal form. ------ 47328/3323463. ------ 1. ==[ start ]==> ((^a.(^a.a))((b a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((b a)(^z.z))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 47329/3323544. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 47330/3323709. ------ 1. ==[ start ]==> ((a (^b.a))(^c.(^d.a))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 47331/3323997. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^a.(b a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(b z))) 3. ==[ eta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 47332/3324048. ------ 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. ------ 47333/3324273. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 47334/3324501. ------ 1. ==[ start ]==> (((a (a a)) b)(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 47335/3324753. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.((y y)(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.((y y)(^z.z)))) 6. ==[ alpha ]==> ((a a)(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 47336/3324831. ------ 1. ==[ start ]==> ((^a.((a a) a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x) x))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> (((((a a) a)((^y.y) a))(((a a) a)((^y.y) a)))(((a a) a)((^y.y) a))) 4. ==[ alpha ]==> (((((a a) a)((^x.x) a))(((a a) a)((^y.y) a)))(((a a) a)((^z.z) a))) 5. ==[ beta ]==> (((((a a) a) a)(((a a) a)((^y.y) a)))(((a a) a)((^z.z) a))) 6. ==[ alpha ]==> (((((a a) a) a)(((a a) a)((^x.x) a)))(((a a) a)((^y.y) a))) 7. ==[ beta ]==> (((((a a) a) a)(((a a) a) a))(((a a) a)((^y.y) a))) 8. ==[ alpha ]==> (((((a a) a) a)(((a a) a) a))(((a a) a)((^x.x) a))) 9. ==[ beta ]==> (((((a a) a) a)(((a a) a) a))(((a a) a) a)) REDUCED to normal form. ------ 47337/3325164. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 47338/3325635. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(^z.(y y)))) REDUCED to normal form. ------ 47339/3325731. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> (^y.(((a (a a))(^z.(z z)))((a (a a))(^z.(z z))))) 4. ==[ alpha ]==> (^x.(((a (a a))(^y.(y y)))((a (a a))(^z.(z z))))) REDUCED to normal form. ------ 47340/3326202. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.b))) REDUCED to normal form. ------ 47341/3326364. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.((a a) a))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.((a a) a))) REDUCED to normal form. ------ 47342/3326535. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^a.((a a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(^y.((y y) y))) 3. ==[ beta ]==> ((((a a) a) a)(^y.((y y) y))) 4. ==[ alpha ]==> ((((a a) a) a)(^x.((x x) x))) REDUCED to normal form. ------ 47343/3326613. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (((((^z.z) a)((^x1.x1) a))(((^z.z) a)((^x1.x1) a)))(^y.y)) 4. ==[ alpha ]==> (((((^x.x) a)((^y.y) a))(((^z.z) a)((^x1.x1) a)))(^y1.y1)) 5. ==[ beta ]==> (((a ((^y.y) a))(((^z.z) a)((^x1.x1) a)))(^y1.y1)) 6. ==[ alpha ]==> (((a ((^x.x) a))(((^y.y) a)((^z.z) a)))(^x1.x1)) 7. ==[ beta ]==> (((a a)(((^y.y) a)((^z.z) a)))(^x1.x1)) 8. ==[ alpha ]==> (((a a)(((^x.x) a)((^y.y) a)))(^z.z)) 9. ==[ beta ]==> (((a a)(a ((^y.y) a)))(^z.z)) 10. ==[ alpha ]==> (((a a)(a ((^x.x) a)))(^y.y)) 11. ==[ beta ]==> (((a a)(a a))(^y.y)) 12. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 47344/3326823. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^b.((^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)(^x.(^z.z))) 6. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 47345/3327093. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 47346/3327318. ------ 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. ------ 47347/3327369. ------ 1. ==[ start ]==> ((^a.(b a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((a (^y.y))(a (^z.z)))) 3. ==[ eta ]==> (b ((a (^y.y))(a (^z.z)))) 4. ==[ alpha ]==> (b ((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 47348/3327651. ------ 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. ------ 47349/3327714. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 47350/3327813. ------ 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. ------ 47351/3327822. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 47352/3327849. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(a a))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(a a))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(a a))) REDUCED to normal form. ------ 47353/3327876. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 47354/3327917. ------ 1. ==[ start ]==> (^a.(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 47355/3327918. ------ 1. ==[ start ]==> (a (^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (a (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 47356/3327933. ------ 1. ==[ start ]==> ((a (^a.a))((b a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))((b a)(^y.y))) REDUCED to normal form. ------ 47357/3327960. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 47358/3327987. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> ((a a)(((^y.y)(a a))(^z.a))) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a))(^y.a))) 5. ==[ beta ]==> ((a a)((a a)(^y.a))) 6. ==[ alpha ]==> ((a a)((a a)(^x.a))) REDUCED to normal form. ------ 47359/3327996. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 47360/3328014. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(^z.(z z)))) REDUCED to normal form. ------ 47361/3328023. ------ 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. ------ 47362/3328077. ------ 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. ------ 47363/3328095. ------ 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. ------ 47364/3328104. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))(a b))) 3. ==[ beta ]==> (((a (^x.x)) a)((a b)(a b))) REDUCED to normal form. ------ 47365/3328122. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^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. ------ 47366/3328131. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 47367/3328158. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 47368/3328257. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(a a)) c)) 3. ==[ beta ]==> ((^y.a)(((^z.z)(a a)) c)) 4. ==[ alpha ]==> ((^x.a)(((^y.y)(a a)) c)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 47369/3328293. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x)) b) b) REDUCED to normal form. ------ 47370/3328347. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 47371/3328374. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.b)(^y1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.b)(^y1.b))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 47372/3328401. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 47373/3328437. ------ 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. ------ 47374/3328464. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(a (b a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (b a))) REDUCED to normal form. ------ 47375/3328491. ------ 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. ------ 47376/3328518. ------ 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. ------ 47377/3328527. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(a a)) c)) 3. ==[ beta ]==> ((^y.(y y))((^z.(a a)) c)) 4. ==[ alpha ]==> ((^x.(x x))((^y.(a a)) c)) 5. ==[ beta ]==> (((^y.(a a)) c)((^y.(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. ------ 47378/3328671. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(c (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(c (^z.(a a)))) REDUCED to normal form. ------ 47379/3328698. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 47380/3328743. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 47381/3328833. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.a)(a (a a)))) 3. ==[ beta ]==> ((b b)((^y.a)(a (a a)))) 4. ==[ alpha ]==> ((b b)((^x.a)(a (a a)))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 47382/3328878. ------ 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. ------ 47383/3328905. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^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. ------ 47384/3328968. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.x)((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. ------ 47385/3329013. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(a a)) b)) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a)) b)) 5. ==[ beta ]==> ((^y.y)(((^z.z)(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. ------ 47386/3329022. ------ 1. ==[ start ]==> (((a a)(^b.(^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 a)) REDUCED to normal form. ------ 47387/3329040. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (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. ------ 47388/3329049. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.b)(^b.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. ------ 47389/3329076. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 47390/3329103. ------ 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.(^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. ------ 47391/3329193. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(b ((^y.y)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(b (a a))) REDUCED to normal form. ------ 47392/3329220. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(a ((a a)(^z.z)))) 3. ==[ beta ]==> ((a ((^y.y) a))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(a ((a a)(^y.y)))) 5. ==[ beta ]==> ((a a)(a ((a a)(^y.y)))) 6. ==[ alpha ]==> ((a a)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 47393/3329247. ------ 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. ------ 47394/3329274. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a b)(a (^z.z)))) 3. ==[ beta ]==> (((^y.y)(a a))((a b)(a (^z.z)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a b)(a (^y.y)))) 5. ==[ beta ]==> ((a a)((a b)(a (^y.y)))) 6. ==[ alpha ]==> ((a a)((a b)(a (^x.x)))) REDUCED to normal form. ------ 47395/3329301. ------ 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. ------ 47396/3329427. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(b (^z.(a a)))) 3. ==[ beta ]==> (((^y.y) b)(b (^z.(a a)))) 4. ==[ alpha ]==> (((^x.x) b)(b (^y.(a a)))) 5. ==[ beta ]==> (b (b (^y.(a a)))) 6. ==[ alpha ]==> (b (b (^x.(a a)))) REDUCED to normal form. ------ 47397/3329472. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(a a))(^z.z))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))(^y.y))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.y))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.x))) REDUCED to normal form. ------ 47398/3329499. ------ 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)(^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. ------ 47399/3329508. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.b)(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 47400/3329553. ------ 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))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(^x1.(x1 x1)))) 8. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.(z z)))) 9. ==[ beta ]==> ((a a)((^y.y)(^z.(z z)))) 10. ==[ alpha ]==> ((a a)((^x.x)(^y.(y y)))) 11. ==[ beta ]==> ((a a)(^y.(y y))) 12. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 47401/3329562. ------ 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. ------ 47402/3329589. ------ 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)(^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. ------ 47403/3329616. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a)((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 47404/3329634. ------ 1. ==[ start ]==> ((a (^a.b))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.b))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 47405/3329805. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 47406/3329904. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(a a)) a)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(a a)) a)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(a a)) a)) IRREDUCIBLE: cycle. ------ 47407/3330075. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 47408/3330102. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a (^y.(a a)))) REDUCED to normal form. ------ 47409/3330129. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.b)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.b)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.b)(a a))) 5. ==[ beta ]==> ((^y.a)((^z.b)(a a))) 6. ==[ alpha ]==> ((^x.a)((^y.b)(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 47410/3330174. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (b (((^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. ------ 47411/3330183. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 47412/3330201. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 47413/3330372. ------ 1. ==[ start ]==> (((^a.b) b)((^b.(^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. ------ 47414/3330498. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.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) 9. ==[ beta ]==> b REDUCED to normal form. ------ 47415/3330642. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(b (^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(b (^y.a))) REDUCED to normal form. ------ 47416/3330669. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(a (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(a (^z.b))) REDUCED to normal form. ------ 47417/3330714. ------ 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))(^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. ------ 47418/3330723. ------ 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 (^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. ------ 47419/3330750. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(x1 x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(z z))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(y y))((^z.(z z))((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(y y))((^z.z) a))) 7. ==[ beta ]==> (((^y.(y y))((^z.z) a))((^y.(y y))((^z.z) a))) 8. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(z z))((^x1.x1) a))) 9. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(z z))((^x1.x1) a))) 10. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(z z))((^x1.x1) a))) 11. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))((^x1.x1) a))) 12. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))((^z.z) a))) 13. ==[ beta ]==> ((a a)((^y.(y y))((^z.z) a))) 14. ==[ alpha ]==> ((a a)((^x.(x x))((^y.y) a))) 15. ==[ beta ]==> ((a a)(((^y.y) a)((^y.y) a))) 16. ==[ alpha ]==> ((a a)(((^x.x) a)((^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. ------ 47420/3330777. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.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. ------ 47421/3330795. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (^a.a))(^b.(^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. ------ 47422/3330804. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 47423/3330831. ------ 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)(^x.x))((a a) a)) REDUCED to normal form. ------ 47424/3330975. ------ 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. ------ 47425/3331002. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(a ((a a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(a ((a a) a))) 3. ==[ beta ]==> ((((a a) a) a)(a ((a a) a))) REDUCED to normal form. ------ 47426/3331029. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((^z.z)(a a))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y)(a a))) 5. ==[ beta ]==> (((a b)(a (^x.x)))(a a)) REDUCED to normal form. ------ 47427/3331056. ------ 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. ------ 47428/3331083. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(a ((^z.z) a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(a ((^y.y) a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 47429/3331254. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 47430/3331263. ------ 1. ==[ start ]==> (((a b) c)((^a.(^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. ------ 47431/3331290. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)((^x.x)((^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. ------ 47432/3331317. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 47433/3331335. ------ 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)) REDUCED to normal form. ------ 47434/3331371. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 47435/3331398. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 47436/3331497. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.a) c)) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 47437/3331506. ------ 1. ==[ start ]==> (((a b)(^b.a))(c (^b.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(c (^y.a))) REDUCED to normal form. ------ 47438/3331533. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 47439/3331560. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 47440/3331758. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 47441/3331785. ------ 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. ------ 47442/3331812. ------ 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. ------ 47443/3331839. ------ 1. ==[ start ]==> ((a (b a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (b a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 47444/3331929. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b ((a (^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 47445/3332010. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a (^z.z)) b)) 3. ==[ beta ]==> (b ((a (^z.z)) b)) 4. ==[ alpha ]==> (b ((a (^x.x)) b)) REDUCED to normal form. ------ 47446/3332073. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(c (^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(c (^y.y))) REDUCED to normal form. ------ 47447/3332118. ------ 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. ------ 47448/3332145. ------ 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))(^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. ------ 47449/3332181. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.(a a)))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.y))) REDUCED to normal form. ------ 47450/3332199. ------ 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 b)(a b))((a (^y.y)) a)) 4. ==[ alpha ]==> (((a b)(a b))((a (^x.x)) a)) REDUCED to normal form. ------ 47451/3332208. ------ 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. ------ 47452/3332262. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 47453/3332280. ------ 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. ------ 47454/3332289. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 47455/3332316. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.z)(a a))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.z)(a a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(a a))) 5. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 47456/3332343. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^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. ------ 47457/3332385. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a)))) a) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1)))) a) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 47458/3332387. ------ 1. ==[ start ]==> (^a.(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (^x.(x (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 47459/3332388. ------ 1. ==[ start ]==> (a (a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (a (a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 47460/3332391. ------ 1. ==[ start ]==> ((^a.a)(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 47461/3336855. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^a.a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.y1)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 47462/3336858. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a)))) a) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 47463/3336864. ------ 1. ==[ start ]==> ((^a.a)(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.x)(a (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 47464/3336867. ------ 1. ==[ start ]==> ((a a)(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 47465/3336918. ------ 1. ==[ start ]==> ((^a.b)((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 47466/3337137. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^b.(b a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(y a))) REDUCED to normal form. ------ 47467/3337809. ------ 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)(^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. ------ 47468/3337911. ------ 1. ==[ start ]==> (((a (a a)) b)(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 47469/3338163. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^b.(^c.(^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. ------ 47470/3338622. ------ 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.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^z.(a a))) REDUCED to normal form. ------ 47471/3338754. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))(^z.(^x1.x1))) b) 4. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z))) b) 5. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z))) b) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1))) b) 7. ==[ beta ]==> ((^y.y) b) 8. ==[ alpha ]==> ((^x.x) b) 9. ==[ beta ]==> b REDUCED to normal form. ------ 47472/3338847. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.((^x1.x1)(z z)))) IRREDUCIBLE: cycle. ------ 47473/3339243. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(^b.(a b))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(a x))) 3. ==[ eta ]==> (((a (a a))(a (a a))) a) REDUCED to normal form. ------ 47474/3339348. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.(z z))(^x1.(x1 x1)))((^z.(z z))(^x1.(x1 x1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.(y y))(^z.(z z)))((^x1.(x1 x1))(^y1.(y1 y1))))) 5. ==[ beta ]==> (((^y.(y y))(^z.(z z)))((^x1.(x1 x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))(^x1.(x1 x1)))) 7. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(z z))(^x1.(x1 x1)))) 8. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 47475/3339441. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^a.(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(x1 b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(x1 b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(y1 b))) 5. ==[ beta ]==> ((^y.y)(^y1.(y1 b))) 6. ==[ alpha ]==> ((^x.x)(^y.(y b))) 7. ==[ beta ]==> (^y.(y b)) 8. ==[ alpha ]==> (^x.(x b)) REDUCED to normal form. ------ 47476/3339603. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^c.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.((a a) a))) 3. ==[ beta ]==> ((^y.y)(^z.((a a) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a) a))) 5. ==[ beta ]==> (^y.((a a) a)) 6. ==[ alpha ]==> (^x.((a a) a)) REDUCED to normal form. ------ 47477/3339945. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^b.(^c.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) 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. ------ 47478/3340233. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^c.(^b.(^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. ------ 47479/3340620. ------ 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. ------ 47480/3340728. ------ 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 x1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 47481/3340779. ------ 1. ==[ start ]==> ((^a.(b a))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(c (^y.(^z.z)))) 3. ==[ eta ]==> (b (c (^y.(^z.z)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 47482/3341061. ------ 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. ------ 47483/3341124. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^c.(^a.(^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. ------ 47484/3341142. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^a.c)) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.c)) 3. ==[ beta ]==> (((a b)(a b))(^y.c)) 4. ==[ alpha ]==> (((a b)(a b))(^x.c)) REDUCED to normal form. ------ 47485/3341223. ------ 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. ------ 47486/3341232. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^b.b)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 47487/3341259. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^c.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 47488/3341328. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(a a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(a a)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 47489/3341331. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^a.a)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 47490/3341343. ------ 1. ==[ start ]==> ((a a)(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a a)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 47491/3341361. ------ 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. ------ 47492/3341388. ------ 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. ------ 47493/3341397. ------ 1. ==[ start ]==> ((a b)((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 47494/3341415. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 47495/3341442. ------ 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. ------ 47496/3341451. ------ 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. ------ 47497/3341469. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 47498/3341496. ------ 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. ------ 47499/3341523. ------ 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. ------ 47500/3341550. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.(a a)))) REDUCED to normal form. ------ 47501/3341613. ------ 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. ------ 47502/3341631. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((b a) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 47503/3341946. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y)(a a))(a (^z.z)))) 5. ==[ beta ]==> ((((^y.y)(a a))(a (^z.z)))(((^y.y)(a a))(a (^z.z)))) 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. ------ 47504/3341973. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 47505/3342027. ------ 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 ]==> (((^y.y)(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 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. ------ 47506/3342054. ------ 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. ------ 47507/3342081. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 47508/3342135. ------ 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)(^y.y)))) 4. ==[ alpha ]==> (((a a)(a a))((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 47509/3342207. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 47510/3342234. ------ 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. ------ 47511/3342252. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((a a) a)(^y.(y y)))) 3. ==[ beta ]==> ((b b)(((a a) a)(^y.(y y)))) 4. ==[ alpha ]==> ((b b)(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 47512/3342288. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 47513/3342387. ------ 1. ==[ start ]==> (((a (a a)) b)((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 47514/3342414. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((a a)(^z.z)) a)) 3. ==[ beta ]==> (((^y.y) a)(((a a)(^z.z)) a)) 4. ==[ alpha ]==> (((^x.x) a)(((a a)(^y.y)) a)) 5. ==[ beta ]==> (a (((a a)(^y.y)) a)) 6. ==[ alpha ]==> (a (((a a)(^x.x)) a)) REDUCED to normal form. ------ 47515/3342441. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a)) b)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a) b)) REDUCED to normal form. ------ 47516/3342468. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a b) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a b) c)) REDUCED to normal form. ------ 47517/3342585. ------ 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)(^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. ------ 47518/3342612. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.(^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. ------ 47519/3342756. ------ 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)(^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. ------ 47520/3342810. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z) a)((a a) a))) 5. ==[ beta ]==> (a (((^z.z) a)((a a) a))) 6. ==[ alpha ]==> (a (((^x.x) a)((a a) a))) 7. ==[ beta ]==> (a (a ((a a) a))) REDUCED to normal form. ------ 47521/3342927. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a b)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 47522/3342954. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((a a) a)(^z.a))) 3. ==[ beta ]==> ((a (^y.(y y)))(((a a) a)(^z.a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((a a) a)(^y.a))) REDUCED to normal form. ------ 47523/3342981. ------ 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))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (a a))(^x.a))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (((a (a a))(^x.a))(^z.(z z))) 6. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(y y))) REDUCED to normal form. ------ 47524/3343008. ------ 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.(^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. ------ 47525/3343071. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))(a b))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 47526/3343098. ------ 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))(^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))(^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. ------ 47527/3343125. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(a a))(^z.z))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(a a))(^y.y))) 5. ==[ beta ]==> ((a (a (a a)))(a a)) REDUCED to normal form. ------ 47528/3343152. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.b)(^a.(^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. ------ 47529/3343206. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 47530/3343233. ------ 1. ==[ start ]==> ((a (a b))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a b))((^y.(^z.z))(^y.(^z.z)))) 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. ------ 47531/3343323. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a ((^z.z)(a a)))) IRREDUCIBLE: cycle. ------ 47532/3343386. ------ 1. ==[ start ]==> ((((a a) a) b)((^c.a) c)) 2. ==[ alpha ]==> ((((a a) a) b)((^x.a) c)) 3. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 47533/3343404. ------ 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 (((^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. ------ 47534/3343431. ------ 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. ------ 47535/3343458. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)((^x1.x1)(^y1.y1)))) 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. ------ 47536/3343512. ------ 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)(a b))) REDUCED to normal form. ------ 47537/3343548. ------ 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 REDUCED to normal form. ------ 47538/3343575. ------ 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. ------ 47539/3343602. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a)(^a.a))(^b.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. ------ 47540/3343638. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(x x))(a (a a)))) 3. ==[ beta ]==> (((a a)(a b))((a (a a))(a (a a)))) REDUCED to normal form. ------ 47541/3343665. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) a) REDUCED to normal form. ------ 47542/3343692. ------ 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.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. ------ 47543/3343719. ------ 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. ------ 47544/3343746. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.b)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.b)(^x1.x1))) 5. ==[ beta ]==> (((^y.y) a)((^z.b)(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)((^y.b)(^z.z))) 7. ==[ beta ]==> (a ((^y.b)(^z.z))) 8. ==[ alpha ]==> (a ((^x.b)(^y.y))) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 47545/3343791. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> (b (((^y.y)(^z.z)) c)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) c)) 5. ==[ beta ]==> (b ((^y.y) c)) 6. ==[ alpha ]==> (b ((^x.x) c)) 7. ==[ beta ]==> (b c) REDUCED to normal form. ------ 47546/3343800. ------ 1. ==[ start ]==> (((a b)(a a))((^b.(^a.a))(^b.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. ------ 47547/3343827. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> ((a (a a))((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 47548/3343863. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(c ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(c ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(c ((^y.y)(^z.z)))) 5. ==[ beta ]==> (c ((^y.y)(^z.z))) 6. ==[ alpha ]==> (c ((^x.x)(^y.y))) 7. ==[ beta ]==> (c (^y.y)) 8. ==[ alpha ]==> (c (^x.x)) REDUCED to normal form. ------ 47549/3343917. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(a (a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a (a b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a (a b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(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. ------ 47550/3343998. ------ 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) 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. ------ 47551/3344052. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a a)((a (^y.y))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((a (^x.x))((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a)((a (^x.x))(^z.z))) 8. ==[ alpha ]==> ((a a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 47552/3344079. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a a)((a a) a))) 3. ==[ beta ]==> ((^y.y)((a a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((a a)((a a) a))) 5. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 47553/3344142. ------ 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.(^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. ------ 47554/3344169. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a (a a))(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (a a))(^z.a))) 5. ==[ beta ]==> ((^y.(y y))((a (a a))(^z.a))) 6. ==[ alpha ]==> ((^x.(x x))((a (a a))(^y.a))) 7. ==[ beta ]==> (((a (a a))(^y.a))((a (a a))(^y.a))) 8. ==[ alpha ]==> (((a (a a))(^x.a))((a (a a))(^y.a))) REDUCED to normal form. ------ 47555/3344196. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(a (^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(a (^y.(y y)))) REDUCED to normal form. ------ 47556/3344223. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 47557/3344313. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.(^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. ------ 47558/3344340. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(y y))(^z.a))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(x x))(^y.a))) 5. ==[ beta ]==> ((a ((a a) a))((^y.a)(^y.a))) 6. ==[ alpha ]==> ((a ((a a) a))((^x.a)(^y.a))) 7. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 47559/3344367. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.a)(^x1.(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. ------ 47560/3344394. ------ 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.(^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. ------ 47561/3344439. ------ 1. ==[ start ]==> (((^a.b) c)((^c.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. ------ 47562/3344538. ------ 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 (^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. ------ 47563/3344673. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(c d)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(c d)) 3. ==[ beta ]==> (b (c d)) REDUCED to normal form. ------ 47564/3344682. ------ 1. ==[ start ]==> (((a b) c)((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b) c)((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 47565/3344709. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a a)(^b.(^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. ------ 47566/3344736. ------ 1. ==[ start ]==> ((((a a)(^a.a)) 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)((^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. ------ 47567/3344790. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a) a) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z) a) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a c)) REDUCED to normal form. ------ 47568/3344835. ------ 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. ------ 47569/3344871. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.(^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. ------ 47570/3344898. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(y y)) b)) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(b b)) REDUCED to normal form. ------ 47571/3344916. ------ 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. ------ 47572/3344925. ------ 1. ==[ start ]==> (((a b)(^b.a))((^b.a) c)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a) c)) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 47573/3345015. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(y y))(a a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((a a)(a a))) REDUCED to normal form. ------ 47574/3345042. ------ 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) REDUCED to normal form. ------ 47575/3345069. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (a b))((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 47576/3345096. ------ 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. ------ 47577/3345123. ------ 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)) 11. ==[ beta ]==> ((^y.y)(^y.y)) 12. ==[ alpha ]==> ((^x.x)(^y.y)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 47578/3345150. ------ 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. ------ 47579/3345177. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 47580/3345204. ------ 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 x1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.(z z))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(y y))) REDUCED to normal form. ------ 47581/3345258. ------ 1. ==[ start ]==> ((a (b a))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(c (^x.(^y.y)))) REDUCED to normal form. ------ 47582/3345348. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(c b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(c b)) 3. ==[ beta ]==> (((^y.b)(^y.b))(c b)) 4. ==[ alpha ]==> (((^x.b)(^y.b))(c b)) 5. ==[ beta ]==> (b (c b)) REDUCED to normal form. ------ 47583/3345429. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(c (a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(c (a a))) 3. ==[ beta ]==> (b (c (a a))) REDUCED to normal form. ------ 47584/3345492. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^b.a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.a) a)) 3. ==[ beta ]==> ((((a a)(^x.x)) b) a) REDUCED to normal form. ------ 47585/3345537. ------ 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. ------ 47586/3345600. ------ 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. ------ 47587/3345618. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(a c)) 2. ==[ alpha ]==> (((^x.(x x))(a b))(a c)) 3. ==[ beta ]==> (((a b)(a b))(a c)) REDUCED to normal form. ------ 47588/3345627. ------ 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. ------ 47589/3345681. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.(^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. ------ 47590/3345699. ------ 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. ------ 47591/3345708. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.a) b)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y) b)) 3. ==[ beta ]==> (((a b)(^x.(x x))) b) REDUCED to normal form. ------ 47592/3345735. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a a)(^z.z))) 3. ==[ beta ]==> (((a a)(^y.a))((a a)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.y))) REDUCED to normal form. ------ 47593/3345762. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a) a)) REDUCED to normal form. ------ 47594/3345804. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a)))) b) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1)))) b) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 47595/3345807. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(a a)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 47596/3345828. ------ 1. ==[ start ]==> ((^a.(^a.a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 47597/3350283. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^a.(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(^z1.z1))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 47598/3350286. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a)))) b) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 47599/3350310. ------ 1. ==[ start ]==> ((^a.(^a.a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 47600/3350313. ------ 1. ==[ start ]==> ((a (^a.a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 47601/3350328. ------ 1. ==[ start ]==> ((^a.(a a))((b a)(^a.a))) 2. ==[ alpha ]==> ((^x.(x x))((b a)(^y.y))) 3. ==[ beta ]==> (((b a)(^y.y))((b a)(^y.y))) 4. ==[ alpha ]==> (((b a)(^x.x))((b a)(^y.y))) REDUCED to normal form. ------ 47602/3350355. ------ 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 REDUCED to normal form. ------ 47603/3350391. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 47604/3350436. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^z.(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 47605/3350553. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^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. ------ 47606/3350625. ------ 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) REDUCED to normal form. ------ 47607/3350796. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 47608/3351246. ------ 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.(^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. ------ 47609/3351678. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.b) c)) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.b) c)) 3. ==[ beta ]==> ((((^y.b) c)((^y.b) c))((^y.b) c)) 4. ==[ alpha ]==> ((((^x.b) c)((^y.b) c))((^z.b) c)) 5. ==[ beta ]==> ((b ((^y.b) c))((^z.b) c)) 6. ==[ alpha ]==> ((b ((^x.b) c))((^y.b) c)) 7. ==[ beta ]==> ((b b)((^y.b) c)) 8. ==[ alpha ]==> ((b b)((^x.b) c)) 9. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 47610/3352011. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a)((a a) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 47611/3352284. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(^x1.(a a)))) IRREDUCIBLE: cycle. ------ 47612/3352578. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1))((^y1.y1) a))((^z.(^x1.x1))((^y1.y1) a)))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z))((^x1.x1) a))((^y1.(^z1.z1))((^x2.x2) a)))) 5. ==[ beta ]==> (^x.((^z.z)((^y1.(^z1.z1))((^x2.x2) a)))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1))((^y1.y1) a)))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))((^y1.y1) a))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))((^x1.x1) a))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 47613/3352878. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.x1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.y1))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.y1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 7. ==[ beta ]==> (^y.(^z.y)) 8. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 47614/3353049. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^c.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.((a a) a))) REDUCED to normal form. ------ 47615/3353400. ------ 1. ==[ start ]==> (((^a.b) c)(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.b) c)(^y.((y y) y))) 3. ==[ beta ]==> (b (^y.((y y) y))) 4. ==[ alpha ]==> (b (^x.((x x) x))) REDUCED to normal form. ------ 47616/3353832. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^a.((^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. ------ 47617/3354216. ------ 1. ==[ start ]==> ((^a.(b a))((^b.a) b)) 2. ==[ alpha ]==> ((^x.(b x))((^y.a) b)) 3. ==[ eta ]==> (b ((^y.a) b)) 4. ==[ alpha ]==> (b ((^x.a) b)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 47618/3354453. ------ 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)) REDUCED to normal form. ------ 47619/3354525. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^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. ------ 47620/3354579. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(a (^z.z)))) 3. ==[ beta ]==> (((a b)(a b))(^y.(a (^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(a (^y.y)))) REDUCED to normal form. ------ 47621/3354588. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^a.c)) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.c)) REDUCED to normal form. ------ 47622/3354642. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 47623/3354669. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^c.(a a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(a a))) REDUCED to normal form. ------ 47624/3354723. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^a.b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.b)) REDUCED to normal form. ------ 47625/3354765. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(a (^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(a (^y1.y1))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 47626/3354768. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^a.(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 47627/3354798. ------ 1. ==[ start ]==> ((a (^a.a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 47628/3354816. ------ 1. ==[ start ]==> ((a (a a))((b a)(^a.a))) 2. ==[ alpha ]==> ((a (a a))((b a)(^x.x))) REDUCED to normal form. ------ 47629/3354843. ------ 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. ------ 47630/3354879. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 47631/3354897. ------ 1. ==[ start ]==> (((a a)(a a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a a))((a b)(^x.(x x)))) REDUCED to normal form. ------ 47632/3354924. ------ 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. ------ 47633/3354960. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 47634/3354987. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z))(a b))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(a b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(a b))) 5. ==[ beta ]==> ((a (^x.x))((a b)(a b))) REDUCED to normal form. ------ 47635/3355014. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 47636/3355041. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^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. ------ 47637/3355086. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((b a) a)) 2. ==[ alpha ]==> (((a (^x.x))(a a))((b a) a)) REDUCED to normal form. ------ 47638/3355113. ------ 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)) REDUCED to normal form. ------ 47639/3355122. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.(^a.a))(^a.(^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. ------ 47640/3355149. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.(a a))(^b.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. ------ 47641/3355230. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 47642/3355284. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 47643/3355374. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x)) 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))) REDUCED to normal form. ------ 47644/3355455. ------ 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. ------ 47645/3355482. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.x)((^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. ------ 47646/3355509. ------ 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. ------ 47647/3355536. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z) a)(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a (a b))) REDUCED to normal form. ------ 47648/3355563. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a (^z.z))(a a))) REDUCED to normal form. ------ 47649/3355581. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(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. ------ 47650/3355590. ------ 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. ------ 47651/3355626. ------ 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))) REDUCED to normal form. ------ 47652/3355653. ------ 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))(^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. ------ 47653/3355680. ------ 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. ------ 47654/3355707. ------ 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. ------ 47655/3355734. ------ 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.(^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 (^x.x))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 47656/3355743. ------ 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)(^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. ------ 47657/3355770. ------ 1. ==[ start ]==> (((^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) 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. ------ 47658/3355824. ------ 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.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. ------ 47659/3355905. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.z))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 47660/3356139. ------ 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 a)) REDUCED to normal form. ------ 47661/3356166. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.b) c)) 2. ==[ alpha ]==> ((a ((a a) a))((^x.b) c)) 3. ==[ beta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 47662/3356292. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (^z.z))(a b))) 3. ==[ beta ]==> (((^y.y) b)((a (^z.z))(a b))) 4. ==[ alpha ]==> (((^x.x) b)((a (^y.y))(a b))) 5. ==[ beta ]==> (b ((a (^y.y))(a b))) 6. ==[ alpha ]==> (b ((a (^x.x))(a b))) REDUCED to normal form. ------ 47663/3356319. ------ 1. ==[ start ]==> ((((a a) a) a)((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)((a a)((^x.x)(a a)))) 3. ==[ beta ]==> ((((a a) a) a)((a a)(a a))) REDUCED to normal form. ------ 47664/3356364. ------ 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 a))(a a))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a a))) 5. ==[ beta ]==> ((^y.(a a))(a a)) 6. ==[ alpha ]==> ((^x.(a a))(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 47665/3356499. ------ 1. ==[ start ]==> ((a (^a.b))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.a)((a a) a))) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 47666/3356517. ------ 1. ==[ start ]==> (((a a)((a a) a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)((a a) a))((a (^x.x))(^y.b))) REDUCED to normal form. ------ 47667/3356544. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a a)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a a)(^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.(a a)))) REDUCED to normal form. ------ 47668/3356571. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y)(a a)) a)) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y)(a a)) a)) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(a a)) a)) 5. ==[ beta ]==> ((a (a (a a)))((a a) a)) REDUCED to normal form. ------ 47669/3356598. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((a b) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((a b) b)) 3. ==[ beta ]==> (((a (a a)) a)((a b) b)) REDUCED to normal form. ------ 47670/3356688. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 47671/3356769. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)(^x1.(a a)))) IRREDUCIBLE: cycle. ------ 47672/3356832. ------ 1. ==[ start ]==> ((((a a) a) b)(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 47673/3356859. ------ 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. ------ 47674/3356886. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (a a))(a (a a)))) REDUCED to normal form. ------ 47675/3356940. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 47676/3356958. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(b (^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(b (^y.b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(b (^y.b))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(b (^x.b))) REDUCED to normal form. ------ 47677/3356967. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a a)(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a a)(a b))) REDUCED to normal form. ------ 47678/3357039. ------ 1. ==[ start ]==> (((^a.b)(a a))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (b ((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> (b ((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 47679/3357066. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 47680/3357084. ------ 1. ==[ start ]==> (((a a)(a b))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 47681/3357111. ------ 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.(^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. ------ 47682/3357165. ------ 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. ------ 47683/3357192. ------ 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. ------ 47684/3357219. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((a a) a) b)) REDUCED to normal form. ------ 47685/3357246. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x)(^y.y)) c)) 3. ==[ beta ]==> (((a b)(a a))((^y.y) c)) 4. ==[ alpha ]==> (((a b)(a a))((^x.x) c)) 5. ==[ beta ]==> (((a b)(a a)) c) REDUCED to normal form. ------ 47686/3357282. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 47687/3357309. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.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. ------ 47688/3357363. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.b))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.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. ------ 47689/3357453. ------ 1. ==[ start ]==> (((a b) b)((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b) b)((a (a a))((^x.x) a))) 3. ==[ beta ]==> (((a b) b)((a (a a)) a)) REDUCED to normal form. ------ 47690/3357480. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)(a (a a)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a)(a (a a)))) 5. ==[ beta ]==> (((a a) a)(a (a (a a)))) REDUCED to normal form. ------ 47691/3357507. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 47692/3357525. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(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. ------ 47693/3357534. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a a)((a a) a))) REDUCED to normal form. ------ 47694/3357660. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.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. ------ 47695/3357732. ------ 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. ------ 47696/3357759. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (((a (^x.x))(a b))((^z.z) b)) 4. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y) b)) 5. ==[ beta ]==> (((a (^x.x))(a b)) b) REDUCED to normal form. ------ 47697/3357885. ------ 1. ==[ start ]==> (((^a.b) c)(a ((a a) a))) 2. ==[ alpha ]==> (((^x.b) c)(a ((a a) a))) 3. ==[ beta ]==> (b (a ((a a) a))) REDUCED to normal form. ------ 47698/3357894. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^c.a) a)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.a) a)) 3. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 47699/3357921. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.(^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. ------ 47700/3357984. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(c (^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(c (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(c (^y.(y y)))) 5. ==[ beta ]==> (c (^y.(y y))) 6. ==[ alpha ]==> (c (^x.(x x))) REDUCED to normal form. ------ 47701/3358119. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 47702/3358128. ------ 1. ==[ start ]==> (((a b) c)(c d)) REDUCED to normal form. ------ 47703/3358200. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 47704/3358227. ------ 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))(^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. ------ 47705/3358263. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(c ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(c ((^z.z) a))) 3. ==[ beta ]==> ((a (^y.b))(c ((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.b))(c ((^y.y) a))) 5. ==[ beta ]==> ((a (^x.b))(c a)) REDUCED to normal form. ------ 47706/3358281. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))(^z.(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. ------ 47707/3358317. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(a ((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(a ((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a ((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(a ((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 47708/3358344. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a (a a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a (a a))(a a))) REDUCED to normal form. ------ 47709/3358371. ------ 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. ------ 47710/3358398. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (^x1.x1))((^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. ------ 47711/3358425. ------ 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)))) REDUCED to normal form. ------ 47712/3358461. ------ 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. ------ 47713/3358488. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a (^x.x))(a a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 47714/3358515. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 47715/3358542. ------ 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. ------ 47716/3358569. ------ 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 (a a)) a)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (a a)) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (a a)) a)) 5. ==[ beta ]==> (((^y.y)(^z.z))((a (a a)) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a)) a)) 7. ==[ beta ]==> ((^y.y)((a (a a)) a)) 8. ==[ alpha ]==> ((^x.x)((a (a a)) a)) 9. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 47717/3358596. ------ 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. ------ 47718/3358623. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a (^a.a)) c)) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a (^y.y)) c)) 3. ==[ beta ]==> (((a b) a)((a (^y.y)) c)) 4. ==[ alpha ]==> (((a b) a)((a (^x.x)) c)) REDUCED to normal form. ------ 47719/3358677. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(y y)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(a a)) REDUCED to normal form. ------ 47720/3358704. ------ 1. ==[ start ]==> ((a (b a))((^b.a) b)) 2. ==[ alpha ]==> ((a (b a))((^x.a) b)) 3. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 47721/3358794. ------ 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) REDUCED to normal form. ------ 47722/3358875. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^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. ------ 47723/3358938. ------ 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. ------ 47724/3358983. ------ 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. ------ 47725/3359010. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^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. ------ 47726/3359046. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(b b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(b b)) 3. ==[ beta ]==> ((a (^y.(a a)))(b b)) 4. ==[ alpha ]==> ((a (^x.(a a)))(b b)) REDUCED to normal form. ------ 47727/3359064. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a b)(a b))((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (((a b)(a b))(a (^y.y))) 6. ==[ alpha ]==> (((a b)(a b))(a (^x.x))) REDUCED to normal form. ------ 47728/3359073. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(a c)) 2. ==[ alpha ]==> (((a (a a))(^x.b))(a c)) REDUCED to normal form. ------ 47729/3359127. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (a (^z.z)))) REDUCED to normal form. ------ 47730/3359145. ------ 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. ------ 47731/3359154. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a a)(a a))) REDUCED to normal form. ------ 47732/3359181. ------ 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)) REDUCED to normal form. ------ 47733/3359208. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(a b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a b)) REDUCED to normal form. ------ 47734/3359253. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(a (^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.x1))) REDUCED to normal form. ------ 47735/3359270. ------ 1. ==[ start ]==> (^a.((a a)(b a))) 2. ==[ alpha ]==> (^x.((x x)(b x))) REDUCED to normal form. ------ 47736/3359271. ------ 1. ==[ start ]==> (a ((a a)(b a))) REDUCED to normal form. ------ 47737/3363738. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^b.a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.a)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 47738/3363759. ------ 1. ==[ start ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 47739/3363765. ------ 1. ==[ start ]==> ((^a.a)((a a)(b a))) 2. ==[ alpha ]==> ((^x.x)((a a)(b a))) 3. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 47740/3363786. ------ 1. ==[ start ]==> (((^a.a) a)(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (a (^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (a (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 47741/3363855. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(a a))(^y1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 47742/3364017. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (^x.((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 47743/3364056. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^b.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 47744/3364335. ------ 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. ------ 47745/3364359. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((a a)(^y.y))(a a))) 3. ==[ beta ]==> ((((a a)(^y.y))(a a))((((a a)(^y.y))(a a))(((a a)(^y.y))(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))((((a a)(^y.y))(a a))(((a a)(^z.z))(a a)))) REDUCED to normal form. ------ 47746/3364839. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.((a a)(^z.z)))) 5. ==[ beta ]==> (a (^y.((a a)(^z.z)))) 6. ==[ alpha ]==> (a (^x.((a a)(^y.y)))) REDUCED to normal form. ------ 47747/3365091. ------ 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. ------ 47748/3365142. ------ 1. ==[ start ]==> ((^a.((a a) a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((a b)(a (^y.y)))) 3. ==[ beta ]==> ((((a b)(a (^y.y)))((a b)(a (^y.y))))((a b)(a (^y.y)))) 4. ==[ alpha ]==> ((((a b)(a (^x.x)))((a b)(a (^y.y))))((a b)(a (^z.z)))) REDUCED to normal form. ------ 47749/3365475. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 47750/3365973. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.(z z)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.(z z)))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.(y y)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 47751/3366042. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a)(^a.a))(^b.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. ------ 47752/3366864. ------ 1. ==[ start ]==> (((^a.b) c)(^b.(^c.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. ------ 47753/3366873. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.((y y) y))) REDUCED to normal form. ------ 47754/3366924. ------ 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. ------ 47755/3367161. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^y.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 47756/3367296. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^b.(^b.(^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. ------ 47757/3367656. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(y (y y)))) REDUCED to normal form. ------ 47758/3367680. ------ 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. ------ 47759/3367917. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^b.(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.a))) REDUCED to normal form. ------ 47760/3367989. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(^b.c)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^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. ------ 47761/3368043. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^c.(^a.(^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. ------ 47762/3368052. ------ 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. ------ 47763/3368106. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 47764/3368160. ------ 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)))) REDUCED to normal form. ------ 47765/3368187. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(a a))) REDUCED to normal form. ------ 47766/3368229. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.a) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.y1) a)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 47767/3368232. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^b.a)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.a)) REDUCED to normal form. ------ 47768/3368250. ------ 1. ==[ start ]==> (((a a)(b a))(^a.a)) 2. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 47769/3368262. ------ 1. ==[ start ]==> ((a a)((a a)(b a))) REDUCED to normal form. ------ 47770/3368280. ------ 1. ==[ start ]==> (((^a.a) a)(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) a)(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. ------ 47771/3368298. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((b a)(^a.a))) 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. ------ 47772/3368325. ------ 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. ------ 47773/3368352. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a 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. ------ 47774/3368361. ------ 1. ==[ start ]==> (((^a.a) b)((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> (b ((^y.(a a))((^z.z) a))) 4. ==[ alpha ]==> (b ((^x.(a a))((^y.y) a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 47775/3368388. ------ 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. ------ 47776/3368406. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^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. ------ 47777/3368415. ------ 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. ------ 47778/3368442. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 47779/3368460. ------ 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. ------ 47780/3368469. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(a b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a b)(a b))) REDUCED to normal form. ------ 47781/3368487. ------ 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)(((^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. ------ 47782/3368496. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 47783/3368514. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 47784/3368550. ------ 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. ------ 47785/3368595. ------ 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. ------ 47786/3368631. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a (^x.x)) b)(a a)) REDUCED to normal form. ------ 47787/3368658. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.b)(^z.(z z)))) 3. ==[ beta ]==> ((a a)((^y.b)(^z.(z z)))) 4. ==[ alpha ]==> ((a a)((^x.b)(^y.(y y)))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 47788/3368685. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 47789/3368712. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 47790/3368739. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.b))) 5. ==[ beta ]==> ((a (^x.x))((^z.b)(^z.b))) 6. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.b))) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 47791/3368802. ------ 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. ------ 47792/3368829. ------ 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. ------ 47793/3368856. ------ 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. ------ 47794/3368892. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(a a)) c)) 3. ==[ beta ]==> ((^y.y)((^x1.(a a)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) c)) 5. ==[ beta ]==> ((^y.(a a)) c) 6. ==[ alpha ]==> ((^x.(a a)) c) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 47795/3369063. ------ 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. ------ 47796/3369171. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.b)((^z.z) a))) 3. ==[ beta ]==> ((b b)((^y.b)((^z.z) a))) 4. ==[ alpha ]==> ((b b)((^x.b)((^y.y) a))) 5. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 47797/3369216. ------ 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.(^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. ------ 47798/3369297. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.(a a)))) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.(a a)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(a a)))) 7. ==[ beta ]==> ((a (^y.y))(^z.(a a))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 47799/3369306. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(^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. ------ 47800/3369333. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) 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)))) 7. ==[ beta ]==> (a ((a a)(^y.y))) 8. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 47801/3369351. ------ 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) REDUCED to normal form. ------ 47802/3369360. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.(^a.a))(^a.a))) 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. ------ 47803/3369378. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z)(a a)) b)) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a)) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a)) b)) 5. ==[ beta ]==> (((^y.y)(a a)) b) 6. ==[ alpha ]==> (((^x.x)(a a)) b) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 47804/3369387. ------ 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))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 47805/3369414. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.b)(^b.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. ------ 47806/3369468. ------ 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.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 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. ------ 47807/3369558. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b ((^z.z)(a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))(b ((^z.z)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(b ((^y.y)(a a)))) 5. ==[ beta ]==> ((a 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. ------ 47808/3369585. ------ 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. ------ 47809/3369612. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(a a))(a a))) 5. ==[ beta ]==> ((a a)(((^y.y)(a a))(a a))) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a))(a a))) 7. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 47810/3369639. ------ 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. ------ 47811/3369675. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^c.a) d)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a) d)) 3. ==[ beta ]==> ((^y.y)((^y1.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. ------ 47812/3369765. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(c (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(c (^z.b))) 3. ==[ beta ]==> (((^y.y) b)(c (^z.b))) 4. ==[ alpha ]==> (((^x.x) b)(c (^y.b))) 5. ==[ beta ]==> (b (c (^y.b))) 6. ==[ alpha ]==> (b (c (^x.b))) REDUCED to normal form. ------ 47813/3369792. ------ 1. ==[ start ]==> ((((a a) a) a)(b (^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)(b (^x.(a a)))) REDUCED to normal form. ------ 47814/3369837. ------ 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 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. ------ 47815/3369846. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(a a))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 47816/3369873. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.b)(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 47817/3369891. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((a a) a)(^z.a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((a a) a)(^z.a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a) a)(^z.a))) 5. ==[ beta ]==> ((a ((^y.y) a))(((a a) a)(^z.a))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((a a) a)(^y.a))) 7. ==[ beta ]==> ((a a)(((a a) a)(^y.a))) 8. ==[ alpha ]==> ((a a)(((a a) a)(^x.a))) REDUCED to normal form. ------ 47818/3369900. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 47819/3369927. ------ 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.(^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. ------ 47820/3369954. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 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. ------ 47821/3369972. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((a (^x.b))(a (^z.a))) 4. ==[ alpha ]==> ((a (^x.b))(a (^y.a))) REDUCED to normal form. ------ 47822/3370143. ------ 1. ==[ start ]==> (((^a.b) a)((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 47823/3370323. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^c.a) c)) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 47824/3370413. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(c (^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(c (^x1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(c (^x1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(c (^z.a))) REDUCED to normal form. ------ 47825/3370440. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(b (^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(b (^y.b))) REDUCED to normal form. ------ 47826/3370467. ------ 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 REDUCED to normal form. ------ 47827/3370494. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^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. ------ 47828/3370512. ------ 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) a)(^y.(^z.z)))) 4. ==[ alpha ]==> (b (((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 47829/3370521. ------ 1. ==[ start ]==> (((a b)(^a.a))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 47830/3370539. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a)(^a.a))(^b.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. ------ 47831/3370710. ------ 1. ==[ start ]==> (((^a.b) b)((^c.a)(^a.(^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. ------ 47832/3370917. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 47833/3370980. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(c (^y.(^z.z)))) REDUCED to normal form. ------ 47834/3371007. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(b (^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(b (^z.a))) REDUCED to normal form. ------ 47835/3371052. ------ 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 ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((a a) a)(^y1.y1))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a) a)(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a) a)(^x1.x1))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)(^x1.x1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(^z.z))) 9. ==[ beta ]==> ((^y.y)(((a a) a)(^z.z))) 10. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.y))) 11. ==[ beta ]==> (((a a) a)(^y.y)) 12. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 47836/3371061. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^c.a)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a)(a a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 47837/3371088. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> (((^y.(^z.z))(a (^x1.x1)))((^y.(^z.z))(a (^x1.x1)))) 8. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (^z1.z1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 11. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 12. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 47838/3371115. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> ((((a a) a)(^x.a))(a ((^z.z) a))) 6. ==[ alpha ]==> ((((a a) a)(^x.a))(a ((^y.y) a))) 7. ==[ beta ]==> ((((a a) a)(^x.a))(a a)) REDUCED to normal form. ------ 47839/3371133. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> (b (a (^y.(y y)))) 6. ==[ alpha ]==> (b (a (^x.(x x)))) REDUCED to normal form. ------ 47840/3371142. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 47841/3371169. ------ 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)(^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. ------ 47842/3371340. ------ 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) 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. ------ 47843/3371358. ------ 1. ==[ start ]==> (((^a.b) c)((^a.a)(^c.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. ------ 47844/3371367. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(a ((a a) a))) REDUCED to normal form. ------ 47845/3371394. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))(a a))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))(a a))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)(a a))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)(a a))) 7. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 47846/3371421. ------ 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. ------ 47847/3371592. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 47848/3371601. ------ 1. ==[ start ]==> (((a b) c)((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b) c)((^x.a)((^y.y) a))) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 47849/3371628. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(^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. ------ 47850/3371655. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(^z.z))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 47851/3371673. ------ 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)(^x.x))((^z.z) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 47852/3371700. ------ 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)) b)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) b)) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 47853/3371709. ------ 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))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 47854/3371736. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((a (^y.b))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 47855/3371790. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.a)(^b.(^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. ------ 47856/3371835. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 47857/3371898. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b (^z.(z z)))) REDUCED to normal form. ------ 47858/3371988. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(c c)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(c c)) 3. ==[ beta ]==> ((a (a b))(c c)) REDUCED to normal form. ------ 47859/3372096. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(c (a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 47860/3372123. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(b ((^z.z) a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(b ((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(b ((^y.y) a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(b a)) REDUCED to normal form. ------ 47861/3372150. ------ 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. ------ 47862/3372177. ------ 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. ------ 47863/3372267. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> (b (((^z.z) a)(^x1.x1))) 6. ==[ alpha ]==> (b (((^x.x) a)(^y.y))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 47864/3372348. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((^z.z) a) a)) 3. ==[ beta ]==> (b (((^z.z) a) a)) 4. ==[ alpha ]==> (b (((^x.x) a) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 47865/3372411. ------ 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)(^x.x)) b)(^z.a)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.a)) REDUCED to normal form. ------ 47866/3372456. ------ 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. ------ 47867/3372519. ------ 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))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 47868/3372537. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a b))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 47869/3372546. ------ 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. ------ 47870/3372600. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 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. ------ 47871/3372618. ------ 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. ------ 47872/3372627. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(b (^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(b (^y.y))) REDUCED to normal form. ------ 47873/3372654. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 47874/3372681. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 47875/3372726. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.a) a)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1) a)) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 47876/3372744. ------ 1. ==[ start ]==> (((a a)(b a))(a a)) REDUCED to normal form. ------ 47877/3372783. ------ 1. ==[ start ]==> ((^a.(a a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.(^z.(^x1.(^y1.y1))))(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.(^y2.y2))))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 47878/3373575. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.((a a)(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 47879/3377220. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^a.(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(y1 y1))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 47880/3377241. ------ 1. ==[ start ]==> (((a a)(b a)) b) REDUCED to normal form. ------ 47881/3377265. ------ 1. ==[ start ]==> ((^a.(^a.a))((a a)(b a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a a)(b a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 47882/3377283. ------ 1. ==[ start ]==> ((^a.(a a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x x))(a (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(a (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 47883/3377286. ------ 1. ==[ start ]==> ((a (a a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 47884/3377391. ------ 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. ------ 47885/3377547. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^c.(^d.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 47886/3377556. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^b.(b a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(y a))) REDUCED to normal form. ------ 47887/3378075. ------ 1. ==[ start ]==> ((^a.(^b.(^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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 47888/3378078. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 47889/3378582. ------ 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. ------ 47890/3379041. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((a (a (a a)))(^y.((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a (a a)))(^x.(a a))) REDUCED to normal form. ------ 47891/3379146. ------ 1. ==[ start ]==> ((^a.(a b))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.(x1 x1))) b) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z))) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 47892/3379662. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(^x1.(a x1))) 3. ==[ eta ]==> ((((^x.x)(^y.y))((^z.z) a)) a) 4. ==[ beta ]==> (((^y.y)((^z.z) a)) a) 5. ==[ alpha ]==> (((^x.x)((^y.y) a)) a) 6. ==[ beta ]==> (((^y.y) a) a) 7. ==[ alpha ]==> (((^x.x) a) a) 8. ==[ beta ]==> (a a) REDUCED to normal form. ------ 47893/3379740. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.(^a.a))(^b.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. ------ 47894/3380202. ------ 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)(a a))(^y.((a a) a))) 4. ==[ alpha ]==> (((a a)(a a))(^x.((a a) a))) REDUCED to normal form. ------ 47895/3380364. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.a))) REDUCED to normal form. ------ 47896/3380931. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 47897/3381039. ------ 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))) REDUCED to normal form. ------ 47898/3381147. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(^z.(z z)))) REDUCED to normal form. ------ 47899/3381408. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^c.c)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 47900/3381543. ------ 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. ------ 47901/3381597. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^c.b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 47902/3381615. ------ 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. ------ 47903/3381651. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^b.b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.z)) 3. ==[ beta ]==> (((a a)(^y.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 47904/3381720. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(a (a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(a (a a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 47905/3381723. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^a.(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(x1 x1))) REDUCED to normal form. ------ 47906/3381741. ------ 1. ==[ start ]==> (((a a)(b a))(^a.(^a.a))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(^y.y))) REDUCED to normal form. ------ 47907/3381771. ------ 1. ==[ start ]==> ((a (^a.a))((a a)(b a))) 2. ==[ alpha ]==> ((a (^x.x))((a a)(b a))) REDUCED to normal form. ------ 47908/3381789. ------ 1. ==[ start ]==> ((a (a a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a a))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 47909/3381807. ------ 1. ==[ start ]==> (((a a) a)((b a)(^a.a))) 2. ==[ alpha ]==> (((a a) a)((b a)(^x.x))) REDUCED to normal form. ------ 47910/3381834. ------ 1. ==[ start ]==> (((a a)(^a.a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 47911/3381861. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (b (((^y.y)(a a))(^z.a))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.a))) 5. ==[ beta ]==> (b ((a a)(^y.a))) 6. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 47912/3381870. ------ 1. ==[ start ]==> (((a a)(a a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(a a))((^y.y) a))) 3. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 47913/3381888. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 47914/3381897. ------ 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. ------ 47915/3381915. ------ 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. ------ 47916/3381969. ------ 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. ------ 47917/3381996. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a (^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.(a a)))) REDUCED to normal form. ------ 47918/3382032. ------ 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. ------ 47919/3382059. ------ 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. ------ 47920/3382131. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(a a)) c)) 3. ==[ beta ]==> (((a (^x.x)) b)((a a) c)) REDUCED to normal form. ------ 47921/3382275. ------ 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) 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. ------ 47922/3382365. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> ((^y.(y y))(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> ((^x.(x x))(((a a)(^y.y))(a a))) 5. ==[ beta ]==> ((((a a)(^y.y))(a a))(((a a)(^y.y))(a a))) 6. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 47923/3382392. ------ 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 (^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. ------ 47924/3382446. ------ 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. ------ 47925/3382473. ------ 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. ------ 47926/3382500. ------ 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. ------ 47927/3382554. ------ 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 (^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. ------ 47928/3382581. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)((a a)(^z.z)))) REDUCED to normal form. ------ 47929/3382653. ------ 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. ------ 47930/3382671. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a b)(^b.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. ------ 47931/3382680. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.b)((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(a a)) b) REDUCED to normal form. ------ 47932/3382806. ------ 1. ==[ start ]==> (((a (a a)) b)((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 47933/3382860. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 47934/3382887. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z)(a a)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a a) b)) REDUCED to normal form. ------ 47935/3382914. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a b) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a b) c)) 3. ==[ beta ]==> ((a (^y.a))((a b) c)) 4. ==[ alpha ]==> ((a (^x.a))((a b) c)) REDUCED to normal form. ------ 47936/3383031. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.a)(^z.b))) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) a) REDUCED to normal form. ------ 47937/3383058. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))(^y1.(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. ------ 47938/3383175. ------ 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.y1) a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y) a))) 5. ==[ beta ]==> (((a a) a)((^y.y) a)) 6. ==[ alpha ]==> (((a a) a)((^x.x) a)) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 47939/3383229. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (a ((a (a a))((^z.z)(^x1.x1)))) 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. ------ 47940/3383310. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a) a)((a a)((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a) a)((a a)((^x.x)(a a)))) 5. ==[ beta ]==> (((a a) a)((a a)(a a))) REDUCED to normal form. ------ 47941/3383346. ------ 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 a))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^x1.x1))) REDUCED to normal form. ------ 47942/3383373. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a b)(^a.(^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. ------ 47943/3383400. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((a a) a)(^y.a))) REDUCED to normal form. ------ 47944/3383427. ------ 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))(^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. ------ 47945/3383454. ------ 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)))) REDUCED to normal form. ------ 47946/3383490. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.a)((a a) a))) 3. ==[ beta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 47947/3383517. ------ 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.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. ------ 47948/3383544. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.y)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a (a a)))((^y.y)(a a))) 6. ==[ alpha ]==> ((a (a (a a)))((^x.x)(a a))) 7. ==[ beta ]==> ((a (a (a a)))(a a)) REDUCED to normal form. ------ 47949/3383571. ------ 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))) 5. ==[ beta ]==> (((a (a a)) a)(a a)) REDUCED to normal form. ------ 47950/3383598. ------ 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)(^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. ------ 47951/3383652. ------ 1. ==[ start ]==> ((a (a b))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 47952/3383742. ------ 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. ------ 47953/3383805. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.b) b)) 2. ==[ alpha ]==> ((((a a) a) b)((^x.b) b)) 3. ==[ beta ]==> ((((a a) a) b) b) REDUCED to normal form. ------ 47954/3383823. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((a a) a)(a (^z.z)))) 3. ==[ beta ]==> (b (((a a) a)(a (^z.z)))) 4. ==[ alpha ]==> (b (((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 47955/3383832. ------ 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. ------ 47956/3383850. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^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)((^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. ------ 47957/3383877. ------ 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. ------ 47958/3383931. ------ 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)))((a (^y.y))((a a) a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.x))((a a) a))) REDUCED to normal form. ------ 47959/3383994. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a b)(^z.z))) REDUCED to normal form. ------ 47960/3384021. ------ 1. ==[ start ]==> (((a b)(^a.a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 47961/3384057. ------ 1. ==[ start ]==> (((a a)(a b))((^b.(^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. ------ 47962/3384084. ------ 1. ==[ start ]==> (((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 a)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 47963/3384111. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 47964/3384138. ------ 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. ------ 47965/3384165. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.x1)(a b))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.x1)(a b))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)(a b))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(a b))) 6. ==[ alpha ]==> (((^x.x) a)((^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. ------ 47966/3384192. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.b)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x))) b) REDUCED to normal form. ------ 47967/3384210. ------ 1. ==[ start ]==> (((^a.b) b)(((a a) a) b)) 2. ==[ alpha ]==> (((^x.b) b)(((a a) a) b)) 3. ==[ beta ]==> (b (((a a) a) b)) REDUCED to normal form. ------ 47968/3384219. ------ 1. ==[ start ]==> (((a b)(a a))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 47969/3384246. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.(^a.a))(^b.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. ------ 47970/3384336. ------ 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. ------ 47971/3384417. ------ 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 (^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. ------ 47972/3384426. ------ 1. ==[ start ]==> (((a b) b)((^b.(^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. ------ 47973/3384471. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)(a (a a)))) 5. ==[ beta ]==> ((a a)(((^y.y) a)(a (a a)))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)(a (a a)))) 7. ==[ beta ]==> ((a a)(a (a (a a)))) REDUCED to normal form. ------ 47974/3384498. ------ 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)(^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. ------ 47975/3384561. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a) a)(^z.z))) REDUCED to normal form. ------ 47976/3384588. ------ 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))(^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. ------ 47977/3384615. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a (a a))(^y.a))) REDUCED to normal form. ------ 47978/3384642. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 47979/3384669. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 47980/3384705. ------ 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)(a a))((^y.y)((a a) a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)((a a) a))) 5. ==[ beta ]==> (((a a)(a a))((a a) a)) REDUCED to normal form. ------ 47981/3384732. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 47982/3384759. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(^z.z))(^x1.(^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. ------ 47983/3384786. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(z 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. ------ 47984/3384813. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((a (a a))((^y.a)(^z.(z z)))) 6. ==[ alpha ]==> ((a (a a))((^x.a)(^y.(y y)))) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 47985/3384840. ------ 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.(^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. ------ 47986/3384867. ------ 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 (^x.x)))(^z.a)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.a)) REDUCED to normal form. ------ 47987/3384957. ------ 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.y1) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)((^y1.y1) 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. ------ 47988/3385101. ------ 1. ==[ start ]==> (((a b) c)(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a b) c)(((^x.x) a)(^y.a))) 3. ==[ beta ]==> (((a b) c)(a (^y.a))) 4. ==[ alpha ]==> (((a b) c)(a (^x.a))) REDUCED to normal form. ------ 47989/3385128. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a (^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)))) REDUCED to normal form. ------ 47990/3385155. ------ 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. ------ 47991/3385209. ------ 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. ------ 47992/3385236. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a) a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z) a) c)) 3. ==[ beta ]==> ((a (^y.b))(((^z.z) a) c)) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y) a) c)) 5. ==[ beta ]==> ((a (^x.b))(a c)) REDUCED to normal form. ------ 47993/3385317. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(^z.z)) 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. ------ 47994/3385335. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a (a a))(a a))) 3. ==[ beta ]==> (b ((a (a a))(a a))) REDUCED to normal form. ------ 47995/3385344. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 47996/3385371. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 47997/3385434. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 47998/3385461. ------ 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))(a a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(z z))(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(y y))(a a))) 5. ==[ beta ]==> (((a (^x.x))(a a))((a a)(a a))) REDUCED to normal form. ------ 47999/3385488. ------ 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) REDUCED to normal form. ------ 48000/3385515. ------ 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. ------ 48001/3385542. ------ 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. ------ 48002/3385569. ------ 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. ------ 48003/3385596. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b) a)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 48004/3385623. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(^x1.x1))(^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. ------ 48005/3385650. ------ 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)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.(z z))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(y y))) REDUCED to normal form. ------ 48006/3385911. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a a) c)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a a) c)) REDUCED to normal form. ------ 48007/3385956. ------ 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. ------ 48008/3385983. ------ 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. ------ 48009/3386019. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.(a a)))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 48010/3386037. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(b b)) 2. ==[ alpha ]==> (((^x.(x x))(a b))(b b)) 3. ==[ beta ]==> (((a b)(a b))(b b)) REDUCED to normal form. ------ 48011/3386046. ------ 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. ------ 48012/3386100. ------ 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. ------ 48013/3386118. ------ 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. ------ 48014/3386127. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 48015/3386154. ------ 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)) 5. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 48016/3386181. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)(^x1.x1))) REDUCED to normal form. ------ 48017/3386226. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(a (a a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (a a))) REDUCED to normal form. ------ 48018/3386244. ------ 1. ==[ start ]==> (((a a)(b a))(a (^a.a))) 2. ==[ alpha ]==> (((a a)(b a))(a (^x.x))) REDUCED to normal form. ------ 48019/3390729. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^b.(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(^z1.z1))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 48020/3390750. ------ 1. ==[ start ]==> (((a a)(b a)) c) REDUCED to normal form. ------ 48021/3390813. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^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. ------ 48022/3390828. ------ 1. ==[ start ]==> ((^a.b)((b a)(^a.a))) 2. ==[ alpha ]==> ((^x.b)((b a)(^y.y))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 48023/3390909. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a b)(^z.(z z)))) 3. ==[ beta ]==> (((a b)(^z.(z z)))(^y.y)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 48024/3391026. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.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. ------ 48025/3391098. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((b a) a)) 2. ==[ alpha ]==> ((^x.((^y.y) x))((b a) a)) 3. ==[ eta ]==> ((^y.y)((b a) a)) 4. ==[ alpha ]==> ((^x.x)((b a) a)) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 48026/3391269. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 48027/3391362. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^a.(b a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.(b y))) 3. ==[ eta ]==> (((^x.(x x)) a) b) 4. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 48028/3391593. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 48029/3391719. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((a a) a)(^x1.(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. ------ 48030/3391866. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.((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))) REDUCED to normal form. ------ 48031/3392151. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.(a a)) b)) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(a a)) b)) 3. ==[ beta ]==> ((((^y.(a a)) b)((^y.(a a)) b))((^y.(a a)) b)) 4. ==[ alpha ]==> ((((^x.(a a)) b)((^y.(a a)) b))((^z.(a a)) b)) 5. ==[ beta ]==> (((a a)((^y.(a a)) b))((^z.(a a)) b)) 6. ==[ alpha ]==> (((a a)((^x.(a a)) b))((^y.(a a)) b)) 7. ==[ beta ]==> (((a a)(a a))((^y.(a a)) b)) 8. ==[ alpha ]==> (((a a)(a a))((^x.(a a)) b)) 9. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 48032/3392484. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 48033/3392982. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^c.(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(a b))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(a b))) 5. ==[ beta ]==> ((^y.a)(^z.(a b))) 6. ==[ alpha ]==> ((^x.a)(^y.(a b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 48034/3393051. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (^y.(((^z.a)(a (^x1.x1)))((^z.a)(a (^x1.x1))))) 4. ==[ alpha ]==> (^x.(((^y.a)(a (^z.z)))((^x1.a)(a (^y1.y1))))) 5. ==[ beta ]==> (^x.(a ((^x1.a)(a (^y1.y1))))) 6. ==[ alpha ]==> (^x.(a ((^y.a)(a (^z.z))))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 48035/3393567. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.(^y1.b))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.(^y1.b))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.b))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(^z1.b))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.b))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.b))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.b))) 9. ==[ beta ]==> ((^y.y)(^z.(^x1.b))) 10. ==[ alpha ]==> ((^x.x)(^y.(^z.b))) 11. ==[ beta ]==> (^y.(^z.b)) 12. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 48036/3393873. ------ 1. ==[ start ]==> (((^a.b) c)(^d.((^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 (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 48037/3393933. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((((^z.(^x1.x1)) b)((^z.(^x1.x1)) b))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.y)) b)((^z.(^x1.x1)) b))(^y1.y1)) 5. ==[ beta ]==> (((^y.y)((^z.(^x1.x1)) b))(^y1.y1)) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) b))(^x1.x1)) 7. ==[ beta ]==> (((^y.(^z.z)) b)(^x1.x1)) 8. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.z)) 9. ==[ beta ]==> ((^y.y)(^z.z)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 48038/3394188. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^y.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 48039/3394332. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 48040/3394689. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((^x.(b x))((^y.(y y)) a)) 3. ==[ eta ]==> (b ((^y.(y y)) a)) 4. ==[ alpha ]==> (b ((^x.(x x)) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 48041/3394782. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (b (^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 48042/3394863. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^b.((^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 (^x.a)) REDUCED to normal form. ------ 48043/3395133. ------ 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. ------ 48044/3395142. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(y (^z.z)))) REDUCED to normal form. ------ 48045/3395169. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^c.(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(a a))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(a a))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(a a))) REDUCED to normal form. ------ 48046/3395238. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.z1))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 48047/3395241. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^b.(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 48048/3395259. ------ 1. ==[ start ]==> (((a a)(b a))(^b.a)) 2. ==[ alpha ]==> (((a a)(b a))(^x.a)) REDUCED to normal form. ------ 48049/3395307. ------ 1. ==[ start ]==> (((^a.a) a)((a a)(b a))) 2. ==[ alpha ]==> (((^x.x) a)((a a)(b a))) 3. ==[ beta ]==> (a ((a a)(b a))) REDUCED to normal form. ------ 48050/3395325. ------ 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. ------ 48051/3395343. ------ 1. ==[ start ]==> ((a b)((b a)(^a.a))) 2. ==[ alpha ]==> ((a b)((b a)(^x.x))) REDUCED to normal form. ------ 48052/3395397. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))(^y.a))) 3. ==[ beta ]==> (((a a)(a a))((a a)(^y.a))) 4. ==[ alpha ]==> (((a a)(a a))((a a)(^x.a))) REDUCED to normal form. ------ 48053/3395424. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a b)(^y.(y y)))) REDUCED to normal form. ------ 48054/3395433. ------ 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. ------ 48055/3395487. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 48056/3395514. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 48057/3395541. ------ 1. ==[ start ]==> ((a (^b.a))((^b.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. ------ 48058/3395613. ------ 1. ==[ start ]==> ((a ((^a.a) a))((b a) a)) 2. ==[ alpha ]==> ((a ((^x.x) a))((b a) a)) 3. ==[ beta ]==> ((a a)((b a) a)) REDUCED to normal form. ------ 48059/3395703. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.b)(^z.(z z)))) 5. ==[ beta ]==> (a ((^y.b)(^z.(z z)))) 6. ==[ alpha ]==> (a ((^x.b)(^y.(y y)))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 48060/3395784. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))(^z.b))) 3. ==[ beta ]==> ((a (^x.(x x)))((^z.b)(^z.b))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.b)(^z.b))) 5. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 48061/3395874. ------ 1. ==[ start ]==> (((^a.(a a)) a)(a (b a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(a (b a))) 3. ==[ beta ]==> ((a a)(a (b a))) REDUCED to normal form. ------ 48062/3395955. ------ 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. ------ 48063/3395982. ------ 1. ==[ start ]==> (((a (a a)) a)(((a a) a)(a (a a)))) REDUCED to normal form. ------ 48064/3396009. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((^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. ------ 48065/3396036. ------ 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. ------ 48066/3396063. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a)(a b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)(a b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(a b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (a b))) REDUCED to normal form. ------ 48067/3396090. ------ 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. ------ 48068/3396108. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 48069/3396153. ------ 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))(^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))) REDUCED to normal form. ------ 48070/3396180. ------ 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. ------ 48071/3396207. ------ 1. ==[ start ]==> (((a (a a))(a a))((a b)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a a))((a b)(^x.a))) REDUCED to normal form. ------ 48072/3396234. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> ((a (^y.y))(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 48073/3396243. ------ 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. ------ 48074/3396270. ------ 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)(^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. ------ 48075/3396324. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)(a b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)(a b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(a b))) 5. ==[ beta ]==> ((^y.y)((^y1.a)(a b))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(a b))) 7. ==[ beta ]==> ((^y.a)(a b)) 8. ==[ alpha ]==> ((^x.a)(a b)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 48076/3396378. ------ 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 a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((^z.z)((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((^y.y)((a a)(^z.z)))) 7. ==[ beta ]==> ((^y.y)((a a)(^z.z))) 8. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 48077/3396459. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.b)(^b.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. ------ 48078/3396666. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.(a a)) b)) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(a a)) b)) 3. ==[ beta ]==> ((a ((a a) a))(a a)) REDUCED to normal form. ------ 48079/3396792. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z) a)((a a) a))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)((a a) a))) 5. ==[ beta ]==> (b (((^y.y) a)((a a) a))) 6. ==[ alpha ]==> (b (((^x.x) a)((a a) a))) 7. ==[ beta ]==> (b (a ((a a) a))) REDUCED to normal form. ------ 48080/3396819. ------ 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. ------ 48081/3396837. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(b (^y.(a a)))) 3. ==[ beta ]==> (((a a) a)(b (^y.(a a)))) 4. ==[ alpha ]==> (((a a) a)(b (^x.(a a)))) REDUCED to normal form. ------ 48082/3396918. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.b)(a (^x1.x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.b)(a (^x1.x1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)(a (^z.z)))) 7. ==[ beta ]==> ((a a)((^y.b)(a (^z.z)))) 8. ==[ alpha ]==> ((a a)((^x.b)(a (^y.y)))) 9. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 48083/3396999. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 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. ------ 48084/3397044. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a (^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(^x1.b))) REDUCED to normal form. ------ 48085/3397071. ------ 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. ------ 48086/3397098. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((^y.y)(a a)) a)) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y)(a a)) a)) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(a a)) a)) 5. ==[ beta ]==> (((a (a a)) a)((a a) a)) REDUCED to normal form. ------ 48087/3397125. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a b) b)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a b) b)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a b) b)) 5. ==[ beta ]==> ((a (^y.y))((a b) b)) 6. ==[ alpha ]==> ((a (^x.x))((a b) b)) REDUCED to normal form. ------ 48088/3397188. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 48089/3397269. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.(^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. ------ 48090/3397332. ------ 1. ==[ start ]==> ((((a a) a) b)((a b)(a a))) REDUCED to normal form. ------ 48091/3397359. ------ 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. ------ 48092/3397386. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.b))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.y)((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.b))((^z.z) a)) 6. ==[ alpha ]==> (((a a)(^x.b))((^y.y) a)) 7. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 48093/3397440. ------ 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)(^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. ------ 48094/3397467. ------ 1. ==[ start ]==> (((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) a))) REDUCED to normal form. ------ 48095/3397494. ------ 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 REDUCED to normal form. ------ 48096/3397539. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 48097/3397566. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 48098/3397584. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a)(^a.a))(^b.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. ------ 48099/3397611. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 48100/3397638. ------ 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.(^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. ------ 48101/3397692. ------ 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. ------ 48102/3397719. ------ 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. ------ 48103/3397746. ------ 1. ==[ start ]==> (((a b)(a a))(((a a) a) b)) REDUCED to normal form. ------ 48104/3397782. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.(^a.a))(^b.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. ------ 48105/3397809. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(x1 x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(z z))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) 7. ==[ beta ]==> ((^y.(y y))(^y.(y y))) 8. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) IRREDUCIBLE: cycle. ------ 48106/3397863. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(^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. ------ 48107/3397953. ------ 1. ==[ start ]==> (((a b) b)(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b) b)(((^x.x)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a b) b)((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> (((a b) b)((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (((a b) b)(a (^y.y))) 6. ==[ alpha ]==> (((a b) b)(a (^x.x))) REDUCED to normal form. ------ 48108/3397980. ------ 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))) 5. ==[ beta ]==> (((a a) a)((a (a a)) a)) REDUCED to normal form. ------ 48109/3398007. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a (a (a a)))) REDUCED to normal form. ------ 48110/3398025. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(c (^b.(^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. ------ 48111/3398034. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((a (^z.z))(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 48112/3398079. ------ 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 ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(a (^x1.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. ------ 48113/3398160. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (b ((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> (b (((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> (b (((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> (b (a ((^y.y) a))) 8. ==[ alpha ]==> (b (a ((^x.x) a))) 9. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 48114/3398259. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((a a) a) a)) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((a a) a) a)) REDUCED to normal form. ------ 48115/3398286. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y)(^z.z)) b)) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(^y.y)) b)) 5. ==[ beta ]==> ((a ((a a) a))((^y.y) b)) 6. ==[ alpha ]==> ((a ((a a) a))((^x.x) b)) 7. ==[ beta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 48116/3398385. ------ 1. ==[ start ]==> (((^a.b) c)(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(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. ------ 48117/3398448. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 48118/3398619. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 48119/3398628. ------ 1. ==[ start ]==> (((a b) c)(d c)) REDUCED to normal form. ------ 48120/3398655. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(c d)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(c d)) 3. ==[ beta ]==> (((a a) b)(c d)) REDUCED to normal form. ------ 48121/3398700. ------ 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)(^x.x))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 48122/3398727. ------ 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))(^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. ------ 48123/3398781. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.a)(^z.a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.a)(^z.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. ------ 48124/3398817. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^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. ------ 48125/3398844. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a (^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 48126/3398871. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (a a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (a a))(a a))) REDUCED to normal form. ------ 48127/3398898. ------ 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. ------ 48128/3398925. ------ 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))(^y.y))((a (^z.z)) a)) REDUCED to normal form. ------ 48129/3398988. ------ 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. ------ 48130/3399015. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a b))(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a b))(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a b))(a (^x.(^y.y)))) REDUCED to normal form. ------ 48131/3399042. ------ 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. ------ 48132/3399069. ------ 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. ------ 48133/3399096. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a (a a)) a)) REDUCED to normal form. ------ 48134/3399123. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 48135/3399204. ------ 1. ==[ start ]==> ((a (b a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((a (b a))((^x.(x x)) a)) 3. ==[ beta ]==> ((a (b a))(a a)) REDUCED to normal form. ------ 48136/3399294. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(a (^z.(z z)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(a (^z.(z z)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(a (^z.(z z)))) 5. ==[ beta ]==> (b (a (^z.(z z)))) 6. ==[ alpha ]==> (b (a (^x.(x x)))) REDUCED to normal form. ------ 48137/3399375. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^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. ------ 48138/3399438. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(b (a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(b (a (^y.y)))) REDUCED to normal form. ------ 48139/3399483. ------ 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. ------ 48140/3399510. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^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. ------ 48141/3399546. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(c a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(c a)) 3. ==[ beta ]==> ((a (^y.(a a)))(c a)) 4. ==[ alpha ]==> ((a (^x.(a a)))(c a)) REDUCED to normal form. ------ 48142/3399564. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(^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))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 48143/3399573. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(b b)) 2. ==[ alpha ]==> (((a (a a))(^x.b))(b b)) REDUCED to normal form. ------ 48144/3399627. ------ 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. ------ 48145/3399645. ------ 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. ------ 48146/3399654. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(a (a (^y.y)))) REDUCED to normal form. ------ 48147/3399681. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a a)(a a))) 3. ==[ beta ]==> (((a a)(^y.a))((a a)(a a))) 4. ==[ alpha ]==> (((a a)(^x.a))((a a)(a a))) REDUCED to normal form. ------ 48148/3399708. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(b a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(b a)) REDUCED to normal form. ------ 48149/3399753. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 48150/3399771. ------ 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. ------ 48151/3399797. ------ 1. ==[ start ]==> (^a.((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (^x.((x (^y.y))((x x)(^z.z)))) REDUCED to normal form. ------ 48152/3399798. ------ 1. ==[ start ]==> (a ((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (a ((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 48153/3400395. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^a.(b a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.(b y))) 3. ==[ eta ]==> ((^x.(x (x x))) b) 4. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 48154/3403716. ------ 1. ==[ start ]==> ((^a.(b a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(y (y y)))) 3. ==[ eta ]==> (b (^y.(y (y y)))) 4. ==[ alpha ]==> (b (^x.(x (x x)))) REDUCED to normal form. ------ 48155/3404313. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a))) a) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 48156/3404319. ------ 1. ==[ start ]==> ((^a.a)((a (^a.a))((a a)(^a.a)))) 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. ------ 48157/3404346. ------ 1. ==[ start ]==> ((^a.(a a))((a a)(b a))) 2. ==[ alpha ]==> ((^x.(x x))((a a)(b a))) 3. ==[ beta ]==> (((a a)(b a))((a a)(b a))) REDUCED to normal form. ------ 48158/3404367. ------ 1. ==[ start ]==> (((a a) a)(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 48159/3404409. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((a a)(^a.a))(^a.(^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. ------ 48160/3404571. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (^y.(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> (^x.(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> (^x.(a (^z.(a a)))) 6. ==[ alpha ]==> (^x.(a (^y.(a a)))) REDUCED to normal form. ------ 48161/3404913. ------ 1. ==[ start ]==> ((^a.(a (a a)))(a (b a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(a (b a))) 3. ==[ beta ]==> ((a (b a))((a (b a))(a (b a)))) REDUCED to normal form. ------ 48162/3404916. ------ 1. ==[ start ]==> ((a (a (a a)))(^a.(b a))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.(b x))) 3. ==[ eta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 48163/3405420. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 48164/3405672. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.((y y)(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.((y y)(^z.z)))) 6. ==[ alpha ]==> ((a a)(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 48165/3405696. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> (((((^y.y)(a a))(a a))(((^y.y)(a a))(a a)))(((^y.y)(a a))(a a))) 4. ==[ alpha ]==> (((((^x.x)(a a))(a a))(((^y.y)(a a))(a a)))(((^z.z)(a a))(a a))) 5. ==[ beta ]==> ((((a a)(a a))(((^y.y)(a a))(a a)))(((^z.z)(a a))(a a))) 6. ==[ alpha ]==> ((((a a)(a a))(((^x.x)(a a))(a a)))(((^y.y)(a a))(a a))) 7. ==[ beta ]==> ((((a a)(a a))((a a)(a a)))(((^y.y)(a a))(a a))) 8. ==[ alpha ]==> ((((a a)(a a))((a a)(a a)))(((^x.x)(a a))(a a))) 9. ==[ beta ]==> ((((a a)(a a))((a a)(a a)))((a a)(a a))) REDUCED to normal form. ------ 48166/3405906. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 48167/3406029. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (a a))(^b.(^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. ------ 48168/3406554. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 48169/3406596. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((a a) a)(^a.(^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. ------ 48170/3407121. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.b))) REDUCED to normal form. ------ 48171/3407454. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(^y.((y y) y))) 3. ==[ beta ]==> (((a a)(a a))(^y.((y y) y))) 4. ==[ alpha ]==> (((a a)(a a))(^x.((x x) x))) REDUCED to normal form. ------ 48172/3407478. ------ 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 ]==> (((((^z.z)(^x1.x1))(a a))(((^z.z)(^x1.x1))(a a)))(^y.y)) 4. ==[ alpha ]==> (((((^x.x)(^y.y))(a a))(((^z.z)(^x1.x1))(a a)))(^y1.y1)) 5. ==[ beta ]==> ((((^y.y)(a a))(((^z.z)(^x1.x1))(a a)))(^y1.y1)) 6. ==[ alpha ]==> ((((^x.x)(a a))(((^y.y)(^z.z))(a a)))(^x1.x1)) 7. ==[ beta ]==> (((a a)(((^y.y)(^z.z))(a a)))(^x1.x1)) 8. ==[ alpha ]==> (((a a)(((^x.x)(^y.y))(a a)))(^z.z)) 9. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.z)) 10. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.y)) 11. ==[ beta ]==> (((a a)(a a))(^y.y)) 12. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 48173/3407877. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 48174/3408234. ------ 1. ==[ start ]==> ((^a.(b a))(a (a (a a)))) 2. ==[ alpha ]==> ((^x.(b x))(a (a (a a)))) 3. ==[ eta ]==> (b (a (a (a a)))) REDUCED to normal form. ------ 48175/3408237. ------ 1. ==[ start ]==> ((a (b a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((a (b a))(^x.(x (x x)))) REDUCED to normal form. ------ 48176/3408408. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^c.(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(^x1.a))) 3. ==[ beta ]==> (b (^z.(^x1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 48177/3408579. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^a.(^b.a))) 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. ------ 48178/3408678. ------ 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. ------ 48179/3408687. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 48180/3408741. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 48181/3408783. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a a) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a a) a)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 48182/3408804. ------ 1. ==[ start ]==> (((a a)(b a))(^a.(a a))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(x x))) REDUCED to normal form. ------ 48183/3408831. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(^a.a)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 48184/3408843. ------ 1. ==[ start ]==> ((a a)((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a a)((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 48185/3408870. ------ 1. ==[ start ]==> ((a (a a))((a a)(b a))) REDUCED to normal form. ------ 48186/3408888. ------ 1. ==[ start ]==> (((a a) a)(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) a)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 48187/3408906. ------ 1. ==[ start ]==> (((^a.a)(a a))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a a))((b a)(^y.y))) 3. ==[ beta ]==> ((a a)((b a)(^y.y))) 4. ==[ alpha ]==> ((a a)((b a)(^x.x))) REDUCED to normal form. ------ 48188/3408933. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 48189/3408942. ------ 1. ==[ start ]==> (((^a.a) b)((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 48190/3408969. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 48191/3408987. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 48192/3408996. ------ 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. ------ 48193/3409014. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 48194/3409050. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 48195/3409068. ------ 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. ------ 48196/3409077. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((a b)(a b))) REDUCED to normal form. ------ 48197/3409095. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> ((a (^x.a))(a (^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.a))(a (^y.(a a)))) REDUCED to normal form. ------ 48198/3409131. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(^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. ------ 48199/3409176. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((b a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((b a) a)) 3. ==[ beta ]==> ((^y.a)((b a) a)) 4. ==[ alpha ]==> ((^x.a)((b a) a)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 48200/3409203. ------ 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) REDUCED to normal form. ------ 48201/3409212. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 48202/3409239. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((a a)((^y.(a a))(^z.a))) 4. ==[ alpha ]==> ((a a)((^x.(a a))(^y.a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 48203/3409266. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 48204/3409320. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 48205/3409410. ------ 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. ------ 48206/3409437. ------ 1. ==[ start ]==> ((a (a (a a)))(a (b a))) REDUCED to normal form. ------ 48207/3409473. ------ 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 ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 48208/3409680. ------ 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. ------ 48209/3409752. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> ((b b)((^y.(a a))(a (^z.z)))) 4. ==[ alpha ]==> ((b b)((^x.(a a))(a (^y.y)))) 5. ==[ beta ]==> ((b b)(a a)) REDUCED to normal form. ------ 48210/3409797. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((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. ------ 48211/3409824. ------ 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.(^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. ------ 48212/3409878. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) a)(^y1.b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a)(^y1.b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.b))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.b))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.b))) 7. ==[ beta ]==> (((^y.y) a)(^z.b)) 8. ==[ alpha ]==> (((^x.x) a)(^y.b)) 9. ==[ beta ]==> (a (^y.b)) 10. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 48213/3409887. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.a)(a b))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.a)(a b))) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 48214/3409914. ------ 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.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. ------ 48215/3409941. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 48216/3409959. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((a a)(^z.z)) 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. ------ 48217/3409995. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 48218/3410013. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a b) c)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a b) c)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a b) c)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a b) c)) REDUCED to normal form. ------ 48219/3410022. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) b) REDUCED to normal form. ------ 48220/3410166. ------ 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. ------ 48221/3410193. ------ 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. ------ 48222/3410220. ------ 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. ------ 48223/3410256. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b) c)) 3. ==[ beta ]==> ((^y.y)((^y1.b) c)) 4. ==[ alpha ]==> ((^x.x)((^y.b) c)) 5. ==[ beta ]==> ((^y.b) c) 6. ==[ alpha ]==> ((^x.b) c) 7. ==[ beta ]==> b REDUCED to normal form. ------ 48224/3410427. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 48225/3410454. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(a a))(a a))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(a a))(a a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(a a))(a a))) 5. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 48226/3410472. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a b)(^a.(^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. ------ 48227/3410481. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.a)) b) REDUCED to normal form. ------ 48228/3410535. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 48229/3410553. ------ 1. ==[ start ]==> ((a (^a.b))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 48230/3410724. ------ 1. ==[ start ]==> (((^a.b) a)((^c.a)(^b.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. ------ 48231/3410904. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.b) b)) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 48232/3410931. ------ 1. ==[ start ]==> (((^a.a)(a b))((^c.a) c)) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 48233/3411048. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(b (^x1.b))) 3. ==[ beta ]==> (((^y.y)(^z.a))(b (^x1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(b (^z.b))) 5. ==[ beta ]==> ((^y.a)(b (^z.b))) 6. ==[ alpha ]==> ((^x.a)(b (^y.b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 48234/3411075. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (^z.(a a)))) REDUCED to normal form. ------ 48235/3411093. ------ 1. ==[ start ]==> (((^a.b)(a a))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a a))((a b)(^y.y))) 3. ==[ beta ]==> (b ((a b)(^y.y))) 4. ==[ alpha ]==> (b ((a b)(^x.x))) REDUCED to normal form. ------ 48236/3411102. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.b)(a a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.b)(a a))) 3. ==[ beta ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 48237/3411120. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 48238/3411291. ------ 1. ==[ start ]==> (((^a.b) b)((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.b)(^z.z))) 3. ==[ beta ]==> (b ((^y.b)(^z.z))) 4. ==[ alpha ]==> (b ((^x.b)(^y.y))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 48239/3411336. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> ((^y.(a a))(((^z.z)(^x1.x1)) c)) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y)(^z.z)) c)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 48240/3411498. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 48241/3411588. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(c (^z.(^x1.x1)))) REDUCED to normal form. ------ 48242/3411642. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (^z.b))) REDUCED to normal form. ------ 48243/3411696. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.(^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. ------ 48244/3411714. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (a a))(^b.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. ------ 48245/3411723. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 48246/3411750. ------ 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. ------ 48247/3411939. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(^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. ------ 48248/3411948. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(b (^z.z))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(b (^y.y))) REDUCED to normal form. ------ 48249/3411975. ------ 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. ------ 48250/3412002. ------ 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)(^x.x)))((^z.z)(a a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(a a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 48251/3412038. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(x1 x1)) c)) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1)) 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. ------ 48252/3412173. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 48253/3412182. ------ 1. ==[ start ]==> (((a b) c)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.(x x))(a (^y.y)))) 3. ==[ beta ]==> (((a b) c)((a (^y.y))(a (^y.y)))) 4. ==[ alpha ]==> (((a b) c)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 48254/3412209. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.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. ------ 48255/3412236. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 48256/3412254. ------ 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)))) REDUCED to normal form. ------ 48257/3412281. ------ 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)(((^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. ------ 48258/3412290. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.(^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. ------ 48259/3412317. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.b))((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.b))(^z.z)) 8. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 48260/3412371. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.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. ------ 48261/3412398. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 48262/3412416. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.(^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. ------ 48263/3412515. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a a)(a (a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a a)(a (a a)))) REDUCED to normal form. ------ 48264/3412731. ------ 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. ------ 48265/3412758. ------ 1. ==[ start ]==> ((a (b a))(a (a (a a)))) REDUCED to normal form. ------ 48266/3412929. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a a)(^z.a))) 3. ==[ beta ]==> (b ((a a)(^z.a))) 4. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 48267/3412992. ------ 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)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 48268/3413037. ------ 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. ------ 48269/3413064. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^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. ------ 48270/3413100. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(a (^z.a))) 3. ==[ beta ]==> ((a (^y.(a a)))(a (^z.a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.a))) REDUCED to normal form. ------ 48271/3413118. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a (^y.y))(^z.z))) 3. ==[ beta ]==> (((a b)(a b))((a (^y.y))(^z.z))) 4. ==[ alpha ]==> (((a b)(a b))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 48272/3413127. ------ 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. ------ 48273/3413181. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^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)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 48274/3413199. ------ 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. ------ 48275/3413208. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 48276/3413235. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(b (^z.z))) 3. ==[ beta ]==> (((a a)(^y.a))(b (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.a))(b (^y.y))) REDUCED to normal form. ------ 48277/3413262. ------ 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)))) REDUCED to normal form. ------ 48278/3413307. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a a) a)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a) a)) REDUCED to normal form. ------ 48279/3413325. ------ 1. ==[ start ]==> (((a a)(b a))(a (a a))) REDUCED to normal form. ------ 48280/3413352. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(a a)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(a a)) REDUCED to normal form. ------ 48281/3413418. ------ 1. ==[ start ]==> ((^a.b)(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.b)(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 48282/3413688. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^b.(b a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.(z a))) 3. ==[ eta ]==> ((^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. ------ 48283/3417279. ------ 1. ==[ start ]==> ((^a.(b a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(^z.(z z)))) 3. ==[ eta ]==> (b (^y.(^z.(z z)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 48284/3417828. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^a.b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.b)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 48285/3417876. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a))) b) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y))) b) REDUCED to normal form. ------ 48286/3417900. ------ 1. ==[ start ]==> ((^a.(^a.a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 48287/3417945. ------ 1. ==[ start ]==> ((^a.b)(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.b)(a (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 48288/3417948. ------ 1. ==[ start ]==> ((a b)(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a b)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 48289/3418026. ------ 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 ]==> (((^z.(a a))((^x1.x1) a))(^y.y)) 4. ==[ alpha ]==> (((^x.(a a))((^y.y) a))(^z.z)) 5. ==[ beta ]==> ((a a)(^z.z)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 48290/3418215. ------ 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. ------ 48291/3418218. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^b.(b a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.(y a))) 3. ==[ beta ]==> ((a a)(^y.(y a))) 4. ==[ alpha ]==> ((a a)(^x.(x a))) REDUCED to normal form. ------ 48292/3418497. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^a.(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(b z))) 3. ==[ eta ]==> (((^x.x)(^y.(y y))) b) 4. ==[ beta ]==> ((^y.(y y)) b) 5. ==[ alpha ]==> ((^x.(x x)) b) 6. ==[ beta ]==> (b b) REDUCED to normal form. ------ 48293/3418710. ------ 1. ==[ start ]==> ((^a.(^b.(^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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 48294/3418836. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.b)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 48295/3418992. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 48296/3419244. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(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. ------ 48297/3419703. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a)) a)(^y.((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.((^y.y)(a a)))) 5. ==[ beta ]==> (((a (a a)) a)(^x.(a a))) REDUCED to normal form. ------ 48298/3419781. ------ 1. ==[ start ]==> ((^a.(a b))((^c.a)(^b.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. ------ 48299/3420324. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^b.(a b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(a y))) 3. ==[ eta ]==> ((((a a) a)(a (^x.x))) a) REDUCED to normal form. ------ 48300/3420864. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^b.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.((a a) a))) REDUCED to normal form. ------ 48301/3421026. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(^b.(^c.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. ------ 48302/3421467. ------ 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 (^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. ------ 48303/3421593. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^a.(^b.(^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. ------ 48304/3421701. ------ 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. ------ 48305/3421806. ------ 1. ==[ start ]==> ((^a.(b a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.y)(^z.(z z)))) 3. ==[ eta ]==> (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. ------ 48306/3421809. ------ 1. ==[ start ]==> ((a (b a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((a (b a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 48307/3421899. ------ 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 (^x.a)) REDUCED to normal form. ------ 48308/3422088. ------ 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. ------ 48309/3422151. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^b.c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.c)) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.c)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.c)) REDUCED to normal form. ------ 48310/3422259. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^c.b)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.b)) REDUCED to normal form. ------ 48311/3422313. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^b.b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 48312/3422355. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(a b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(a b)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 48313/3422358. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^a.b)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.b)) REDUCED to normal form. ------ 48314/3422376. ------ 1. ==[ start ]==> (((a a)(b a))(^b.(^a.a))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(^y.y))) REDUCED to normal form. ------ 48315/3422403. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 48316/3422433. ------ 1. ==[ start ]==> ((a (^a.a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 48317/3422460. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a a)(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((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. ------ 48318/3422478. ------ 1. ==[ start ]==> ((a b)(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a b)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 48319/3422496. ------ 1. ==[ start ]==> (((a a)(^a.a))((b a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((b a)(^y.y))) REDUCED to normal form. ------ 48320/3422523. ------ 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. ------ 48321/3422550. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 48322/3422559. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 48323/3422577. ------ 1. ==[ start ]==> (((a a) b)((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a) b)((a b)(^x.(x x)))) REDUCED to normal form. ------ 48324/3422604. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 48325/3422658. ------ 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. ------ 48326/3422694. ------ 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. ------ 48327/3422712. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 48328/3422721. ------ 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 (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 48329/3422748. ------ 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. ------ 48330/3422793. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x)) b)(((a a)(^y.y)) b)) REDUCED to normal form. ------ 48331/3422937. ------ 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) 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. ------ 48332/3422964. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 48333/3423027. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(a (b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a (b a))) 3. ==[ beta ]==> ((^y.(y y))(a (b a))) 4. ==[ alpha ]==> ((^x.(x x))(a (b a))) 5. ==[ beta ]==> ((a (b a))(a (b a))) REDUCED to normal form. ------ 48334/3423054. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 48335/3423090. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(a a)) c)) 3. ==[ beta ]==> ((a b)((^y.(a a)) c)) 4. ==[ alpha ]==> ((a b)((^x.(a a)) c)) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 48336/3423108. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a b)((^z.z) a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a b)((^z.z) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a b)((^z.z) a))) 5. ==[ beta ]==> ((^y.y)((a b)((^z.z) 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. ------ 48337/3423135. ------ 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. ------ 48338/3423162. ------ 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)(^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. ------ 48339/3423216. ------ 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)(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. ------ 48340/3423243. ------ 1. ==[ start ]==> ((a (^b.(^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. ------ 48341/3423261. ------ 1. ==[ start ]==> (((a a)(a (a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(b (^x.(^y.y)))) REDUCED to normal form. ------ 48342/3423333. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a)(a a))(^a.(^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. ------ 48343/3423342. ------ 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 a)) REDUCED to normal form. ------ 48344/3423369. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 48345/3423468. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x) a)(^y.b))) 3. ==[ beta ]==> (((a (a a)) b)(a (^y.b))) 4. ==[ alpha ]==> (((a (a a)) b)(a (^x.b))) REDUCED to normal form. ------ 48346/3423495. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y) a)((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((a (^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. ------ 48347/3423522. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 48348/3423549. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 48349/3423576. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z)(a a)) b)) 3. ==[ beta ]==> ((a (^y.a))(((^z.z)(a a)) b)) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y)(a a)) b)) 5. ==[ beta ]==> ((a (^x.a))((a a) b)) REDUCED to normal form. ------ 48350/3423603. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a b) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a b) c)) REDUCED to normal form. ------ 48351/3423666. ------ 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)(^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. ------ 48352/3423720. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.a)(^x1.b))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(^z.b))) 5. ==[ beta ]==> ((a a)((^y.a)(^z.b))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.b))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 48353/3423747. ------ 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. ------ 48354/3423837. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a b)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(a (^y.y)))) 5. ==[ beta ]==> ((a b)(a (^y.y))) 6. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 48355/3423891. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z)(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (a (((^z.z)(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))(a (a a)))) 7. ==[ beta ]==> (a ((^y.y)(a (a a)))) 8. ==[ alpha ]==> (a ((^x.x)(a (a a)))) 9. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 48356/3423972. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a (^y.y))(a b))) 3. ==[ beta ]==> (((a a) a)((a (^y.y))(a b))) 4. ==[ alpha ]==> (((a a) a)((a (^x.x))(a b))) REDUCED to normal form. ------ 48357/3423999. ------ 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)(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)((^y.y)(a a))) 6. ==[ alpha ]==> ((a a)((^x.x)(a a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 48358/3424035. ------ 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 a))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(a a))(^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. ------ 48359/3424062. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 48360/3424089. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a) a)(^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. ------ 48361/3424116. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.(z z))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 48362/3424152. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(x x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)((a a) a))(((^y.y)(^z.z))((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a)((a a) a))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)((a a) a))((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a)((a a) a))((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a)((a a) a))((^y.y)(^z.z))) 8. ==[ alpha ]==> (((a a)((a a) a))((^x.x)(^y.y))) 9. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 10. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 48363/3424179. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.a)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.a)((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)((a a) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 48364/3424206. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(^z.z))(a b))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))(a b))) 5. ==[ beta ]==> ((a (a (a a)))(^y.y)) 6. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 48365/3424233. ------ 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)) 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. ------ 48366/3424260. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(a a))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(a a))(^x1.x1))) 5. ==[ beta ]==> ((a (^y.y))((^z.(a a))(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.z))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 48367/3424287. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a a)) b) REDUCED to normal form. ------ 48368/3424305. ------ 1. ==[ start ]==> (((^a.b) a)(((a a) a) c)) 2. ==[ alpha ]==> (((^x.b) a)(((a a) a) c)) 3. ==[ beta ]==> (b (((a a) a) c)) REDUCED to normal form. ------ 48369/3424314. ------ 1. ==[ start ]==> ((a (a b))((^c.a)(^b.a))) 2. ==[ alpha ]==> ((a (a b))((^x.a)(^y.a))) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 48370/3424467. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.(a a)) a)) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(a a)) a)) 3. ==[ beta ]==> ((((a a) a) b)(a a)) REDUCED to normal form. ------ 48371/3424485. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a b)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a b)(a a))) 3. ==[ beta ]==> (b ((a b)(a a))) REDUCED to normal form. ------ 48372/3424494. ------ 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. ------ 48373/3424512. ------ 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. ------ 48374/3424521. ------ 1. ==[ start ]==> (((a a)(^a.b))((^c.a) c)) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.a) c)) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 48375/3424539. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) a)) 7. ==[ beta ]==> ((^y.y)((^z.z) a)) 8. ==[ alpha ]==> ((^x.x)((^y.y) a)) 9. ==[ beta ]==> ((^y.y) a) 10. ==[ alpha ]==> ((^x.x) a) 11. ==[ beta ]==> a REDUCED to normal form. ------ 48376/3424593. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(a ((^x.x)(^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. ------ 48377/3424683. ------ 1. ==[ start ]==> (((a b)(^a.a))((a b)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.x))((a b)(^y.y))) REDUCED to normal form. ------ 48378/3424719. ------ 1. ==[ start ]==> (((a a)(a b))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.a)(a (^y.y)))) 3. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 48379/3424746. ------ 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))((^x1.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. ------ 48380/3424773. ------ 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 x1))(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(x1 x1))(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(z z))(a (a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(z z))(a (a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(a (a a)))) 7. ==[ beta ]==> ((a (^x.x))((a (a a))(a (a a)))) REDUCED to normal form. ------ 48381/3424800. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a))) a) REDUCED to normal form. ------ 48382/3424827. ------ 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))((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. ------ 48383/3424854. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.y)(a b))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a b)) REDUCED to normal form. ------ 48384/3424872. ------ 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. ------ 48385/3424881. ------ 1. ==[ start ]==> (((a b)(a a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.b)(^y.y))) 3. ==[ beta ]==> (((a b)(a a)) b) REDUCED to normal form. ------ 48386/3424998. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(c ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(c ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c ((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(c ((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(c ((^y.y)(^z.z)))) 7. ==[ beta ]==> (c ((^y.y)(^z.z))) 8. ==[ alpha ]==> (c ((^x.x)(^y.y))) 9. ==[ beta ]==> (c (^y.y)) 10. ==[ alpha ]==> (c (^x.x)) REDUCED to normal form. ------ 48387/3425079. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((a a) a)(a a))) 3. ==[ beta ]==> (b (((a a) a)(a a))) REDUCED to normal form. ------ 48388/3425088. ------ 1. ==[ start ]==> (((a b) b)((^c.a) b)) 2. ==[ alpha ]==> (((a b) b)((^x.a) b)) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 48389/3425115. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z)) c)) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y)) c)) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 48390/3425133. ------ 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))) 7. ==[ beta ]==> ((a a)((a (a a)) a)) REDUCED to normal form. ------ 48391/3425160. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (a a)))) 5. ==[ beta ]==> (((^y.y) a)(a (a a))) 6. ==[ alpha ]==> (((^x.x) a)(a (a a))) 7. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 48392/3425214. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a a)((a a) a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a a)((a a) a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a a)((a a) a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a a)((a a) a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a)((a a) a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a a)((a a) a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a a)((a a) a))) 9. ==[ beta ]==> ((^y.y)((a a)((a a) a))) 10. ==[ alpha ]==> ((^x.x)((a a)((a a) a))) 11. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 48393/3425250. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((a a) a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a) a)(^z.z))) 5. ==[ beta ]==> ((^y.(y y))(((a a) a)(^z.z))) 6. ==[ alpha ]==> ((^x.(x x))(((a a) a)(^y.y))) 7. ==[ beta ]==> ((((a a) a)(^y.y))(((a a) a)(^y.y))) 8. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a) a)(^y.y))) REDUCED to normal form. ------ 48394/3425277. ------ 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))(^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. ------ 48395/3425304. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (a a))(^z.a))) REDUCED to normal form. ------ 48396/3425331. ------ 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)(^x.x))(a (^z.(z z)))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 48397/3425367. ------ 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)(^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. ------ 48398/3425394. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a b))((a a) a)) REDUCED to normal form. ------ 48399/3425448. ------ 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.(^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. ------ 48400/3425475. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a (a 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. ------ 48401/3425502. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.a)(^y.(y y)))) 5. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 48402/3425529. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(^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. ------ 48403/3425619. ------ 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. ------ 48404/3425763. ------ 1. ==[ start ]==> (((a b) c)((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 48405/3425790. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a) a)(^b.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. ------ 48406/3425817. ------ 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. ------ 48407/3425871. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((^x1.x1) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z) a)) 5. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 48408/3425898. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (a a)) b)) 3. ==[ beta ]==> ((a (^y.b))((a (a a)) b)) 4. ==[ alpha ]==> ((a (^x.b))((a (a a)) b)) REDUCED to normal form. ------ 48409/3425997. ------ 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 (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. ------ 48410/3426006. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 48411/3426033. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 48412/3426060. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.a) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.a) c)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 48413/3426096. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(b (^y.(y y)))) REDUCED to normal form. ------ 48414/3426123. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a 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. ------ 48415/3426150. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 48416/3426177. ------ 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. ------ 48417/3426204. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((^z1.z1) a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1) a))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 9. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 10. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 48418/3426231. ------ 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. ------ 48419/3426258. ------ 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))) 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. ------ 48420/3426285. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 48421/3426312. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(^z.z))(^x1.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. ------ 48422/3426339. ------ 1. ==[ start ]==> ((a (b a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (b a))((^x.x)(^y.(y y)))) 3. ==[ beta ]==> ((a (b a))(^y.(y y))) 4. ==[ alpha ]==> ((a (b a))(^x.(x x))) REDUCED to normal form. ------ 48423/3426429. ------ 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))) 7. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 48424/3426510. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(b c)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(b c)) 3. ==[ beta ]==> (b (b c)) REDUCED to normal form. ------ 48425/3426573. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a (^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a (^y.y)) b)) REDUCED to normal form. ------ 48426/3426618. ------ 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. ------ 48427/3426645. ------ 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)) REDUCED to normal form. ------ 48428/3426681. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.z) c)) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.z) c)) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y) c)) 5. ==[ beta ]==> ((a (^x.(a a))) c) REDUCED to normal form. ------ 48429/3426699. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(c a)) 2. ==[ alpha ]==> (((^x.(x x))(a b))(c a)) 3. ==[ beta ]==> (((a b)(a b))(c a)) REDUCED to normal form. ------ 48430/3426708. ------ 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. ------ 48431/3426762. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 48432/3426780. ------ 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. ------ 48433/3426789. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a a) b)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a a) b)) REDUCED to normal form. ------ 48434/3426816. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z)) a)) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 48435/3426843. ------ 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))(^y.(^z.z))) b) REDUCED to normal form. ------ 48436/3426888. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(a b)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a b)) REDUCED to normal form. ------ 48437/3426906. ------ 1. ==[ start ]==> (((a a)(b a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.x)(^y.y))) 3. ==[ beta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 48438/3426933. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 48439/3430869. ------ 1. ==[ start ]==> ((^a.(b a))(^c.d)) 2. ==[ alpha ]==> ((^x.(b x))(^y.d)) 3. ==[ eta ]==> (b (^y.d)) 4. ==[ alpha ]==> (b (^x.d)) REDUCED to normal form. ------ 48440/3431418. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^b.(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(a a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 48441/3431556. ------ 1. ==[ start ]==> (((^a.a)(a a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a a)(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 48442/3431625. ------ 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 ]==> ((((^z.z)(a a))(^x1.a))(^y.y)) 4. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.z)) 5. ==[ beta ]==> (((a a)(^y.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 48443/3431742. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(z z))(a b))) 3. ==[ beta ]==> (^y.((^z.(z z))(a b))) 4. ==[ alpha ]==> (^x.((^y.(y y))(a b))) 5. ==[ beta ]==> (^x.((a b)(a b))) REDUCED to normal form. ------ 48444/3431826. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^b.(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(z a))) 3. ==[ beta ]==> ((^y.a)(^z.(z a))) 4. ==[ alpha ]==> ((^x.a)(^y.(y a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 48445/3431985. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 48446/3432309. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(c (^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(c (^x1.(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 48447/3432435. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a b)(^b.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. ------ 48448/3432609. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a)(^z.z)))) 5. ==[ beta ]==> (^y.((a a)(^z.z))) 6. ==[ alpha ]==> (^x.((a a)(^y.y))) REDUCED to normal form. ------ 48449/3433077. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(a a))) REDUCED to normal form. ------ 48450/3433200. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 48451/3433380. ------ 1. ==[ start ]==> ((^a.(a b))(((a a) a) c)) 2. ==[ alpha ]==> ((^x.(x b))(((a a) a) c)) 3. ==[ beta ]==> ((((a a) a) c) b) REDUCED to normal form. ------ 48452/3433536. ------ 1. ==[ start ]==> ((((a a) a) b)(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.((^y.y)(x x)))) 3. ==[ beta ]==> ((((a a) a) b)(^x.(x x))) REDUCED to normal form. ------ 48453/3433743. ------ 1. ==[ start ]==> (((^a.b)(a a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(^z.(y y)))) 3. ==[ beta ]==> (b (^y.(^z.(y y)))) 4. ==[ alpha ]==> (b (^x.(^y.(x x)))) REDUCED to normal form. ------ 48454/3433767. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.b)(a a))) 3. ==[ beta ]==> (^y.(((^z.b)(a a))((^z.b)(a a)))) 4. ==[ alpha ]==> (^x.(((^y.b)(a a))((^z.b)(a a)))) 5. ==[ beta ]==> (^x.(b ((^z.b)(a a)))) 6. ==[ alpha ]==> (^x.(b ((^y.b)(a a)))) 7. ==[ beta ]==> (^x.(b b)) REDUCED to normal form. ------ 48455/3433974. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((a a) a) b)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((a a) a) b)) 3. ==[ beta ]==> ((^y.y)((((a a) a) b)(((a a) a) b))) 4. ==[ alpha ]==> ((^x.x)((((a a) a) b)(((a a) a) b))) 5. ==[ beta ]==> ((((a a) a) b)(((a a) a) b)) REDUCED to normal form. ------ 48456/3434292. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^c.((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.((a a) a))) REDUCED to normal form. ------ 48457/3434463. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^c.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.a))) REDUCED to normal form. ------ 48458/3434931. ------ 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)(^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 ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 48459/3435066. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^b.(^b.(^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. ------ 48460/3435075. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 48461/3435408. ------ 1. ==[ start ]==> ((a (b a))(^c.d)) 2. ==[ alpha ]==> ((a (b a))(^x.d)) REDUCED to normal form. ------ 48462/3435687. ------ 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. ------ 48463/3435750. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 48464/3435768. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^a.(^b.a))) 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. ------ 48465/3435831. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^a.c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.c)) REDUCED to normal form. ------ 48466/3435885. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(y (^z.z)))) REDUCED to normal form. ------ 48467/3435954. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.y1)(a a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 48468/3435957. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^b.(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(a a))) REDUCED to normal form. ------ 48469/3435975. ------ 1. ==[ start ]==> (((a a)(b a))(^c.a)) 2. ==[ alpha ]==> (((a a)(b a))(^x.a)) REDUCED to normal form. ------ 48470/3436002. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(^b.a)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.a)) REDUCED to normal form. ------ 48471/3436050. ------ 1. ==[ start ]==> (((^a.a) a)((a (^a.a))((a a)(^a.a)))) 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. ------ 48472/3436077. ------ 1. ==[ start ]==> (((a a) a)((a a)(b a))) REDUCED to normal form. ------ 48473/3436095. ------ 1. ==[ start ]==> (((^a.a)(a a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a a))(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. ------ 48474/3436140. ------ 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. ------ 48475/3436167. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> ((a (a (^x.x)))((a a)(^z.a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a a)(^y.a))) REDUCED to normal form. ------ 48476/3436176. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 48477/3436203. ------ 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. ------ 48478/3436257. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 48479/3436284. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(y y))(a b))) 3. ==[ beta ]==> ((a (^x.a))((a b)(a b))) REDUCED to normal form. ------ 48480/3436302. ------ 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. ------ 48481/3436365. ------ 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. ------ 48482/3436446. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(a a))(^b.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. ------ 48483/3436473. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^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. ------ 48484/3436527. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 48485/3436617. ------ 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. ------ 48486/3436698. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> ((a b)(((^y.y)(a a))(a (^z.z)))) 4. ==[ alpha ]==> ((a b)(((^x.x)(a a))(a (^y.y)))) 5. ==[ beta ]==> ((a b)((a a)(a (^y.y)))) 6. ==[ alpha ]==> ((a b)((a a)(a (^x.x)))) REDUCED to normal form. ------ 48487/3436725. ------ 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. ------ 48488/3436752. ------ 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. ------ 48489/3436779. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 8. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 48490/3436806. ------ 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. ------ 48491/3436833. ------ 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. ------ 48492/3436851. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(c (^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(c (^z.(a a)))) REDUCED to normal form. ------ 48493/3436923. ------ 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. ------ 48494/3436950. ------ 1. ==[ start ]==> (((a (a a))(a a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(((^x.x)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a a))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 48495/3436977. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a b)(^b.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. ------ 48496/3436986. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 48497/3437067. ------ 1. ==[ start ]==> (((^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) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))((a a) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))((a a) a))) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))((a a) a))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))((a a) a))) 7. ==[ beta ]==> ((^y.(y y))((a a) a)) 8. ==[ alpha ]==> ((^x.(x x))((a a) a)) 9. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 48498/3437121. ------ 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.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. ------ 48499/3437148. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.z)((a a)(^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. ------ 48500/3437202. ------ 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))(^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. ------ 48501/3437535. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)((a (a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)((a (a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((a (a a))((^y.y)(^z.z)))) 6. ==[ alpha ]==> (b ((a (a a))((^x.x)(^y.y)))) 7. ==[ beta ]==> (b ((a (a a))(^y.y))) 8. ==[ alpha ]==> (b ((a (a a))(^x.x))) REDUCED to normal form. ------ 48502/3437562. ------ 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. ------ 48503/3437607. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(b (^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(b (^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 48504/3437616. ------ 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.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a)(a a))) REDUCED to normal form. ------ 48505/3437661. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(a a))(a a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(a a))(a a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(a a))(a a))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(a a))(a a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a))(a a))) 7. ==[ beta ]==> ((a a)((^y.(a a))(a a))) 8. ==[ alpha ]==> ((a a)((^x.(a a))(a a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 48506/3437742. ------ 1. ==[ start ]==> ((a (^a.b))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 48507/3437760. ------ 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. ------ 48508/3437814. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((a (^y.y))(^z.b))) 3. ==[ beta ]==> ((a (a (a a)))((a (^y.y))(^z.b))) 4. ==[ alpha ]==> ((a (a (a a)))((a (^x.x))(^y.b))) REDUCED to normal form. ------ 48509/3437841. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((a a)(^y.(a a)))) 3. ==[ beta ]==> (((a (a a)) a)((a a)(^y.(a a)))) 4. ==[ alpha ]==> (((a (a a)) a)((a a)(^x.(a a)))) REDUCED to normal form. ------ 48510/3437868. ------ 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)(a a)) a)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1)(a a)) a)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(a a)) a)) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a)) a)) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a)) a)) 7. ==[ beta ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 48511/3437895. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a b) b)) REDUCED to normal form. ------ 48512/3437922. ------ 1. ==[ start ]==> ((a (a b))(((a a) a) c)) REDUCED to normal form. ------ 48513/3437931. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^c.a)(^b.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. ------ 48514/3438012. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a)(^x1.a))) IRREDUCIBLE: cycle. ------ 48515/3438075. ------ 1. ==[ start ]==> ((((a a) a) b)(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(a ((^x.x)(a a)))) 3. ==[ beta ]==> ((((a a) a) b)(a (a a))) REDUCED to normal form. ------ 48516/3438102. ------ 1. ==[ start ]==> (((a b) a)((a b)(a a))) REDUCED to normal form. ------ 48517/3438129. ------ 1. ==[ start ]==> (((a a)(^a.b))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 48518/3438183. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (a a))(a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (a a))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 48519/3438210. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (a a))(^x.(x x)))(a (^z.z))) 6. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 48520/3438237. ------ 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 REDUCED to normal form. ------ 48521/3438264. ------ 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. ------ 48522/3438282. ------ 1. ==[ start ]==> (((^a.b)(a a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(a (^y.(a a)))) 3. ==[ beta ]==> (b (a (^y.(a a)))) 4. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 48523/3438309. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.b)(a a))) 3. ==[ beta ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 48524/3438327. ------ 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. ------ 48525/3438354. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((^y.y)(^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))) 5. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.a)) 6. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.a)) REDUCED to normal form. ------ 48526/3438381. ------ 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))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (a a))(^z.(z z)))) 5. ==[ beta ]==> ((a (^y.y))((a (a a))(^z.(z z)))) 6. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 48527/3438408. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(a (^x.(^y.y)))) REDUCED to normal form. ------ 48528/3438462. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a a)(^y.b))) REDUCED to normal form. ------ 48529/3438489. ------ 1. ==[ start ]==> (((a b)(a a))((a b) a)) REDUCED to normal form. ------ 48530/3438516. ------ 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. ------ 48531/3438525. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^c.a)(^a.(^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. ------ 48532/3438552. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.(^a.a))(^b.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. ------ 48533/3438606. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.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. ------ 48534/3438696. ------ 1. ==[ start ]==> (((a b) b)(((a a) a)(a a))) REDUCED to normal form. ------ 48535/3438723. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(a (^y.y)))) 7. ==[ beta ]==> (((a a) a)(a (^y.y))) 8. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 48536/3438750. ------ 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) a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((a (a a)) a)) REDUCED to normal form. ------ 48537/3438777. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a (a (a a)))) REDUCED to normal form. ------ 48538/3438822. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(b (^x1.a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(b (^x1.a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b (^y1.a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b (^y1.a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b (^x1.a))) 7. ==[ beta ]==> (((^y.y)(^z.z))(b (^x1.a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.a))) 9. ==[ beta ]==> ((^y.y)(b (^z.a))) 10. ==[ alpha ]==> ((^x.x)(b (^y.a))) 11. ==[ beta ]==> (b (^y.a)) 12. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 48539/3438831. ------ 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. ------ 48540/3438903. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.(^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. ------ 48541/3438975. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 48542/3439002. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a a)(^y.a))) REDUCED to normal form. ------ 48543/3439029. ------ 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. ------ 48544/3439056. ------ 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. ------ 48545/3439128. ------ 1. ==[ start ]==> (((^a.b) c)(c (a (a a)))) 2. ==[ alpha ]==> (((^x.b) c)(c (a (a a)))) 3. ==[ beta ]==> (b (c (a (a a)))) REDUCED to normal form. ------ 48546/3439362. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 48547/3439443. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1))(a (a a)))) 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. ------ 48548/3439470. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)((^y1.y1)(^z1.z1)))) 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. ------ 48549/3439524. ------ 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))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 8. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 48550/3439560. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(c ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(c ((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(c ((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c ((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(^z.z))(c ((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.(^y.y))(c ((^z.z) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 48551/3439587. ------ 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. ------ 48552/3439605. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^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. ------ 48553/3439614. ------ 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)(^x.a))(a (^z.z))) 4. ==[ alpha ]==> (((a b)(^x.a))(a (^y.y))) REDUCED to normal form. ------ 48554/3439641. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a (a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (a a))(a a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (a a))(a a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))(a a))) REDUCED to normal form. ------ 48555/3439668. ------ 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. ------ 48556/3439758. ------ 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. ------ 48557/3439785. ------ 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. ------ 48558/3439812. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))(^y1.a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(^y1.a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.a))) 7. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.a))) 8. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.a))) 9. ==[ beta ]==> ((a (^y.y))(^z.a)) 10. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 48559/3439839. ------ 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. ------ 48560/3439866. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a (a a)) a)) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a (a a)) a)) 3. ==[ beta ]==> (((a b) a)((a (a a)) a)) REDUCED to normal form. ------ 48561/3439893. ------ 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 (^x.x)))(a b)) REDUCED to normal form. ------ 48562/3440037. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(b (^z.a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(b (^z.a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(b (^z.a))) 5. ==[ beta ]==> (b (b (^z.a))) 6. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 48563/3440118. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(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. ------ 48564/3440181. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(c (a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(c (a a))) REDUCED to normal form. ------ 48565/3440226. ------ 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. ------ 48566/3440289. ------ 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. ------ 48567/3440307. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(a (^y.a))) 3. ==[ beta ]==> (((a b)(a b))(a (^y.a))) 4. ==[ alpha ]==> (((a b)(a b))(a (^x.a))) REDUCED to normal form. ------ 48568/3440316. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(c a)) 2. ==[ alpha ]==> (((a (a a))(^x.b))(c a)) REDUCED to normal form. ------ 48569/3440370. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(a c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a c)) REDUCED to normal form. ------ 48570/3440388. ------ 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. ------ 48571/3440397. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(b (a a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(b (a a))) REDUCED to normal form. ------ 48572/3440424. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(a (a (^z.z)))) 3. ==[ beta ]==> (((a a)(^y.a))(a (a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.a))(a (a (^y.y)))) REDUCED to normal form. ------ 48573/3440451. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)(a a))) REDUCED to normal form. ------ 48574/3440496. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.a)(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(a a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 48575/3440514. ------ 1. ==[ start ]==> (((a a)(b a))((a a) a)) REDUCED to normal form. ------ 48576/3440541. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.z) a)) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 48577/3440567. ------ 1. ==[ start ]==> (^a.(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (^x.(((^y.y) x)((^z.z)(x x)))) 3. ==[ beta ]==> (^x.(x ((^z.z)(x x)))) 4. ==[ alpha ]==> (^x.(x ((^y.y)(x x)))) 5. ==[ beta ]==> (^x.(x (x x))) REDUCED to normal form. ------ 48578/3440568. ------ 1. ==[ start ]==> (a (((^a.a) a)((^a.a)(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. ------ 48579/3440625. ------ 1. ==[ start ]==> ((^a.b)(^c.(b a))) 2. ==[ alpha ]==> ((^x.b)(^y.(b a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 48580/3441948. ------ 1. ==[ start ]==> ((^a.((a a) a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.((y y)(^z.z)))) 3. ==[ beta ]==> (((^y.((y y)(^z.z)))(^y.((y y)(^z.z))))(^y.((y y)(^z.z)))) 4. ==[ alpha ]==> (((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.((y1 y1)(^z1.z1)))) 5. ==[ beta ]==> ((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.((y1 y1)(^z1.z1)))) 6. ==[ alpha ]==> ((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.((z1 z1)(^x2.x2)))) 7. ==[ beta ]==> (((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.((z1 z1)(^x2.x2)))) 8. ==[ alpha ]==> (((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.((x2 x2)(^y2.y2)))) 9. ==[ beta ]==> ((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.((x2 x2)(^y2.y2)))) 10. ==[ alpha ]==> ((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.((y2 y2)(^z2.z2)))) 11. ==[ beta ]==> (((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.((y2 y2)(^z2.z2)))) 12. ==[ alpha ]==> (((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.((z2 z2)(^x3.x3)))) 13. ==[ beta ]==> ((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.((z2 z2)(^x3.x3)))) 14. ==[ alpha ]==> ((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.((x3 x3)(^y3.y3)))) 15. ==[ beta ]==> (((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.((x3 x3)(^y3.y3)))) 16. ==[ alpha ]==> (((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.((y3 y3)(^z3.z3)))) 17. ==[ beta ]==> ((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.((y3 y3)(^z3.z3)))) 18. ==[ alpha ]==> ((((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.((z3 z3)(^x4.x4)))) 19. ==[ beta ]==> (((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.((z3 z3)(^x4.x4)))) 20. ==[ alpha ]==> (((((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.((x4 x4)(^y4.y4)))) 21. ==[ beta ]==> ((((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.((x4 x4)(^y4.y4)))) 22. ==[ alpha ]==> ((((((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.((y4 y4)(^z4.z4)))) 23. ==[ beta ]==> (((((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.((y4 y4)(^z4.z4)))) 24. ==[ alpha ]==> (((((((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.((z4 z4)(^x5.x5)))) 25. ==[ beta ]==> ((((((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.((z4 z4)(^x5.x5)))) 26. ==[ alpha ]==> ((((((((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.((x5 x5)(^y5.y5)))) 27. ==[ beta ]==> (((((((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.((x5 x5)(^y5.y5)))) 28. ==[ alpha ]==> (((((((((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5))(^y5.((y5 y5)(^z5.z5)))) 29. ==[ beta ]==> ((((((((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5))(^y5.((y5 y5)(^z5.z5)))) 30. ==[ alpha ]==> ((((((((((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5))(^y5.y5))(^z5.((z5 z5)(^x6.x6)))) 31. ==[ beta ]==> (((((((((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5))(^y5.y5))(^z5.((z5 z5)(^x6.x6)))) 32. ==[ alpha ]==> (((((((((((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5))(^y5.y5))(^z5.z5))(^x6.((x6 x6)(^y6.y6)))) 33. ==[ beta ]==> ((((((((((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5))(^y5.y5))(^z5.z5))(^x6.((x6 x6)(^y6.y6)))) 34. ==[ alpha ]==> ((((((((((((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5))(^y5.y5))(^z5.z5))(^x6.x6))(^y6.((y6 y6)(^z6.z6)))) 35. ==[ beta ]==> (((((((((((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5))(^y5.y5))(^z5.z5))(^x6.x6))(^y6.((y6 y6)(^z6.z6)))) UNREDUCED: maximal number of reductions reached. ------ 48581/3443730. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.((z z) z))) 3. ==[ beta ]==> (((^z.((z z) z))(^z.((z z) z)))(^y.y)) 4. ==[ alpha ]==> (((^x.((x x) x))(^y.((y y) y)))(^z.z)) 5. ==[ beta ]==> ((((^y.((y y) y))(^y.((y y) y)))(^y.((y y) y)))(^z.z)) 6. ==[ alpha ]==> ((((^x.((x x) x))(^y.((y y) y)))(^z.((z z) z)))(^x1.x1)) 7. ==[ beta ]==> (((((^y.((y y) y))(^y.((y y) y)))(^y.((y y) y)))(^z.((z z) z)))(^x1.x1)) 8. ==[ alpha ]==> (((((^x.((x x) x))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1)))(^y1.y1)) 9. ==[ beta ]==> ((((((^y.((y y) y))(^y.((y y) y)))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1)))(^y1.y1)) 10. ==[ alpha ]==> ((((((^x.((x x) x))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1)))(^y1.((y1 y1) y1)))(^z1.z1)) 11. ==[ 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)) 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)) 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)) 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)) 15. ==[ 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)) 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)) 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)) 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)) 19. ==[ 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)) 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)) 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)) 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)) 23. ==[ 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)) 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)) 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)) 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)) 27. ==[ 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)) 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)) 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)) 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)) 31. ==[ 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)) 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)) 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)) 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)) 35. ==[ 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)) UNREDUCED: maximal number of reductions reached. ------ 48582/3445110. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a))) a) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a))) a) 3. ==[ beta ]==> ((a ((^y.y)(a a))) a) 4. ==[ alpha ]==> ((a ((^x.x)(a a))) a) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 48583/3445116. ------ 1. ==[ start ]==> ((^a.a)(((^a.a) a)((^a.a)(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. ------ 48584/3445143. ------ 1. ==[ start ]==> ((^a.(a a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((a (^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a (^y.y))((a a)(^z.z)))((a (^y.y))((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a (^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 48585/3445170. ------ 1. ==[ start ]==> ((^a.b)((a a)(b a))) 2. ==[ alpha ]==> ((^x.b)((a a)(b a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 48586/3445173. ------ 1. ==[ start ]==> ((a b)(^c.(b a))) 2. ==[ alpha ]==> ((a b)(^x.(b a))) REDUCED to normal form. ------ 48587/3445191. ------ 1. ==[ start ]==> (((a a)(^a.a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 48588/3445206. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((b a)(^x1.x1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 48589/3445368. ------ 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. ------ 48590/3445452. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^c.(^d.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.a))) 3. ==[ beta ]==> ((^y.a)(^z.(^x1.a))) 4. ==[ alpha ]==> ((^x.a)(^y.(^z.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 48591/3445710. ------ 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. ------ 48592/3446244. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 48593/3446493. ------ 1. ==[ start ]==> ((^a.((a a) a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^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)))) 4. ==[ alpha ]==> (((a ((a a)(^x.x)))(a ((a a)(^y.y))))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 48594/3446496. ------ 1. ==[ start ]==> ((a ((a a) a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 48595/3446826. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 48596/3447162. ------ 1. ==[ start ]==> ((((a a) a) b)(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.(a a)))) REDUCED to normal form. ------ 48597/3447378. ------ 1. ==[ start ]==> (((a b)(^a.a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.(y y)))) REDUCED to normal form. ------ 48598/3447393. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a b)(^z.z))) 3. ==[ beta ]==> (^y.(((a b)(^z.z))((a b)(^z.z)))) 4. ==[ alpha ]==> (^x.(((a b)(^y.y))((a b)(^z.z)))) REDUCED to normal form. ------ 48599/3447567. ------ 1. ==[ start ]==> (((^a.b) b)(^b.(a b))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(a y))) 3. ==[ eta ]==> (((^x.b) b) a) 4. ==[ beta ]==> (b a) REDUCED to normal form. ------ 48600/3447945. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(^x1.b))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.b))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.b))) 7. ==[ beta ]==> ((^y.(^z.b))(^y.(^z.b))) 8. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.b))) 9. ==[ beta ]==> (^y.b) 10. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 48601/3448275. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(a ((a a) a))) 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. ------ 48602/3448278. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.((y y) y))) REDUCED to normal form. ------ 48603/3448566. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^b.((^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)))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.x1))) REDUCED to normal form. ------ 48604/3448701. ------ 1. ==[ start ]==> (((a b)(^b.a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 48605/3449031. ------ 1. ==[ start ]==> ((^a.(b a))(b ((^a.a) a))) 2. ==[ alpha ]==> ((^x.(b x))(b ((^y.y) a))) 3. ==[ eta ]==> (b (b ((^y.y) a))) 4. ==[ alpha ]==> (b (b ((^x.x) a))) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 48606/3449313. ------ 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. ------ 48607/3449394. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^b.c)) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.c)) 3. ==[ beta ]==> (((a b)(a b))(^y.c)) 4. ==[ alpha ]==> (((a b)(a b))(^x.c)) REDUCED to normal form. ------ 48608/3449403. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.y))) REDUCED to normal form. ------ 48609/3449457. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 48610/3449511. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^b.(^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)))) REDUCED to normal form. ------ 48611/3449580. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a a)(^y1.y1))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 48612/3449601. ------ 1. ==[ start ]==> (((a a)(b a))(^a.b)) 2. ==[ alpha ]==> (((a a)(b a))(^x.b)) REDUCED to normal form. ------ 48613/3449628. ------ 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. ------ 48614/3449655. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^a.a)) 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. ------ 48615/3449667. ------ 1. ==[ start ]==> ((a a)(((^a.a) a)((^a.a)(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. ------ 48616/3449694. ------ 1. ==[ start ]==> ((a (a a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 48617/3449721. ------ 1. ==[ start ]==> ((a b)((a a)(b a))) REDUCED to normal form. ------ 48618/3449739. ------ 1. ==[ start ]==> (((a a)(^a.a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 48619/3449757. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((b a)(^z.z))) REDUCED to normal form. ------ 48620/3449811. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 48621/3449820. ------ 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. ------ 48622/3449838. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((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. ------ 48623/3449847. ------ 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. ------ 48624/3449865. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 48625/3449901. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 48626/3449919. ------ 1. ==[ start ]==> ((a (^b.a))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.a))((a (a a))(^y.b))) REDUCED to normal form. ------ 48627/3449955. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 48628/3450027. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((b a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 48629/3450090. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 48630/3450117. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.b)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 48631/3450261. ------ 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. ------ 48632/3450351. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(a a)) c)) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(a a)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a)) c)) 5. ==[ beta ]==> ((^y.y)((^z.(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. ------ 48633/3450504. ------ 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 (^x.x))(a a))) REDUCED to normal form. ------ 48634/3450531. ------ 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. ------ 48635/3450576. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 48636/3450621. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a b)(^b.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. ------ 48637/3450648. ------ 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.(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. ------ 48638/3450711. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(x x))((a a) a))) 3. ==[ beta ]==> (((a (a a)) b)(((a a) a)((a a) a))) REDUCED to normal form. ------ 48639/3450738. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.a)(a b))) 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))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 48640/3450756. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(a a)))) 7. ==[ beta ]==> ((a (^y.y))(^z.(a a))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 48641/3450765. ------ 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.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. ------ 48642/3450792. ------ 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 a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a a)(^z.z))) REDUCED to normal form. ------ 48643/3450819. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 48644/3450837. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z)(a a)) b)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z)(a a)) b)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(a a)) b)) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a) b)) REDUCED to normal form. ------ 48645/3450846. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 48646/3450873. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.b)(^b.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. ------ 48647/3451017. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))(b ((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))(b ((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)(b ((^y.y)(a a)))) 6. ==[ alpha ]==> ((a a)(b ((^x.x)(a a)))) 7. ==[ beta ]==> ((a a)(b (a a))) REDUCED to normal form. ------ 48648/3451044. ------ 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. ------ 48649/3451080. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a)) b)) 3. ==[ beta ]==> ((^y.y)((^y1.(a a)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) b)) 5. ==[ beta ]==> ((^y.(a a)) b) 6. ==[ alpha ]==> ((^x.(a a)) b) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 48650/3451134. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.a) d)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.a) d)) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.a) d)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a) d)) 5. ==[ beta ]==> (a ((^z.a) d)) 6. ==[ alpha ]==> (a ((^x.a) d)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 48651/3451251. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (^x1.(a a)))) REDUCED to normal form. ------ 48652/3451296. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z)(a a))(^x1.x1))) 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))) 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. ------ 48653/3451305. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(a a))(a a))) 3. ==[ beta ]==> (((a (a a))(^x.a))(a a)) REDUCED to normal form. ------ 48654/3451332. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^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. ------ 48655/3451377. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^x.b))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.b))(^z.(z z))) 6. ==[ alpha ]==> ((a (^x.b))(^y.(y y))) REDUCED to normal form. ------ 48656/3451548. ------ 1. ==[ start ]==> (((^a.b) a)((^a.b)(^a.(^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. ------ 48657/3451566. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((a a) a) c)) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((a a) a) c)) 3. ==[ beta ]==> ((^y.b)(((a a) a) c)) 4. ==[ alpha ]==> ((^x.b)(((a a) a) c)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 48658/3451710. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.x)(^y.(a a)))) 3. ==[ beta ]==> ((((a a) a) b)(^y.(a a))) 4. ==[ alpha ]==> ((((a a) a) b)(^x.(a a))) REDUCED to normal form. ------ 48659/3451728. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(a a)) a)) 3. ==[ beta ]==> (b ((^z.(a a)) a)) 4. ==[ alpha ]==> (b ((^x.(a a)) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 48660/3451755. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.b) b)) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.b) b)) 3. ==[ beta ]==> ((a b)((^y.b) b)) 4. ==[ alpha ]==> ((a b)((^x.b) b)) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 48661/3451872. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(c (^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(c (^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(c (^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(c (^z.a))) 5. ==[ beta ]==> ((^y.a)(c (^z.a))) 6. ==[ alpha ]==> ((^x.a)(c (^y.a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 48662/3451899. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(b (^z.b))) REDUCED to normal form. ------ 48663/3451926. ------ 1. ==[ start ]==> (((a b)(^a.a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(a (^y.(a a)))) REDUCED to normal form. ------ 48664/3451944. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a b)(^y.y))) REDUCED to normal form. ------ 48665/3452115. ------ 1. ==[ start ]==> (((^a.b) b)((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.b) b)((^y.y)(a b))) 3. ==[ beta ]==> (b ((^y.y)(a b))) 4. ==[ alpha ]==> (b ((^x.x)(a b))) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 48666/3452160. ------ 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 a) REDUCED to normal form. ------ 48667/3452187. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1)(^y1.y1)) c)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1)) c)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z)) c)) 5. ==[ beta ]==> (((^y.y)(^z.z)) c) 6. ==[ alpha ]==> (((^x.x)(^y.y)) c) 7. ==[ beta ]==> ((^y.y) c) 8. ==[ alpha ]==> ((^x.x) c) 9. ==[ beta ]==> c REDUCED to normal form. ------ 48668/3452322. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 48669/3452376. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z)) c)) 5. ==[ beta ]==> ((a a)((^y.(^z.z)) 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. ------ 48670/3452466. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b (^z.a))) REDUCED to normal form. ------ 48671/3452493. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(a (^x1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(a (^x1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a (^z.b))) 5. ==[ beta ]==> ((^y.(y y))(a (^z.b))) 6. ==[ alpha ]==> ((^x.(x x))(a (^y.b))) 7. ==[ beta ]==> ((a (^y.b))(a (^y.b))) 8. ==[ alpha ]==> ((a (^x.b))(a (^y.b))) REDUCED to normal form. ------ 48672/3452520. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^c.a)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.a)(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 48673/3452538. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a)(^a.a))(^a.(^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. ------ 48674/3452547. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 48675/3452574. ------ 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))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.x))(((^z.z) a)((^z.z) a))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> (((a a)(^x.x))(a ((^z.z) a))) 8. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y) a))) 9. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 48676/3452763. ------ 1. ==[ start ]==> (((^a.b) c)((^b.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. ------ 48677/3452772. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(c (a (a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(c (a (a a)))) REDUCED to normal form. ------ 48678/3452799. ------ 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. ------ 48679/3452826. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(a ((a a) a))) REDUCED to normal form. ------ 48680/3452862. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.(^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. ------ 48681/3452997. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 48682/3453006. ------ 1. ==[ start ]==> (((a b) c)((^b.(^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. ------ 48683/3453033. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (((a a) b)((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> (((a a) b)((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> (((a a) b)((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> (((a a) b)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 48684/3453060. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 48685/3453078. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 48686/3453105. ------ 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.(^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. ------ 48687/3453114. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 48688/3453141. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.(^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. ------ 48689/3453159. ------ 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 a)) b)) REDUCED to normal form. ------ 48690/3453195. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.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. ------ 48691/3453222. ------ 1. ==[ start ]==> ((((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 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. ------ 48692/3453249. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 48693/3453339. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((a (^y.y)) a)) REDUCED to normal form. ------ 48694/3453366. ------ 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. ------ 48695/3453582. ------ 1. ==[ start ]==> ((a (b a))(b ((^a.a) a))) 2. ==[ alpha ]==> ((a (b a))(b ((^x.x) a))) 3. ==[ beta ]==> ((a (b a))(b a)) REDUCED to normal form. ------ 48696/3453672. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> (b ((^z.(^x1.x1)) c)) 6. ==[ alpha ]==> (b ((^x.(^y.y)) c)) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 48697/3453753. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(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. ------ 48698/3453816. ------ 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)(^x.x)) b) a) REDUCED to normal form. ------ 48699/3453861. ------ 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. ------ 48700/3453888. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^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. ------ 48701/3453924. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(b (^a.(^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. ------ 48702/3453942. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.a) c)) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.y) c)) 3. ==[ beta ]==> (((a b)(a b))((^y.y) c)) 4. ==[ alpha ]==> (((a b)(a b))((^x.x) c)) 5. ==[ beta ]==> (((a b)(a b)) c) REDUCED to normal form. ------ 48703/3453951. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(a (^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(a (^y.a))) REDUCED to normal form. ------ 48704/3454005. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 48705/3454023. ------ 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. ------ 48706/3454032. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 48707/3454059. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 48708/3454086. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(b (^x1.x1))) REDUCED to normal form. ------ 48709/3454131. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a)(^x1.x1))) REDUCED to normal form. ------ 48710/3454149. ------ 1. ==[ start ]==> (((a a)(b a))(a b)) REDUCED to normal form. ------ 48711/3454176. ------ 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. ------ 48712/3454203. ------ 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. ------ 48713/3455592. ------ 1. ==[ start ]==> ((^a.((a a) a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^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)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x2.(^y2.(^z2.z2)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 48714/3457374. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.(^x1.a))) 3. ==[ beta ]==> (((^z.(^x1.a))(^z.(^x1.a)))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.a))(^z.(^x1.a)))(^y1.y1)) 5. ==[ beta ]==> ((^y.a)(^y1.y1)) 6. ==[ alpha ]==> ((^x.a)(^y.y)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 48715/3458754. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a))) b) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a))) b) 3. ==[ beta ]==> ((a ((^y.y)(a a))) b) 4. ==[ alpha ]==> ((a ((^x.x)(a a))) b) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 48716/3458778. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 48717/3459093. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ eta ]==> ((^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. ------ 48718/3459402. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^a.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(b x1))) 3. ==[ eta ]==> (((^x.(^y.y))(^z.a)) b) 4. ==[ beta ]==> ((^y.y) b) 5. ==[ alpha ]==> ((^x.x) b) 6. ==[ beta ]==> b REDUCED to normal form. ------ 48719/3459588. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)(a b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 48720/3459714. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^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. ------ 48721/3460149. ------ 1. ==[ start ]==> ((a ((a a) a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 48722/3460608. ------ 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.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^y.y))(^z.((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.((^z.z)(a a)))) 7. ==[ beta ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 48723/3460659. ------ 1. ==[ start ]==> ((^a.(a b))((^a.b)(^a.(^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. ------ 48724/3460833. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 48725/3461022. ------ 1. ==[ start ]==> (((^a.b)(a a))(^c.(a b))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(a b))) 3. ==[ beta ]==> (b (^y.(a b))) 4. ==[ alpha ]==> (b (^x.(a b))) REDUCED to normal form. ------ 48726/3461220. ------ 1. ==[ start ]==> (((^a.b) b)(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(^z.b))) 3. ==[ beta ]==> (b (^y.(^z.b))) 4. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 48727/3461229. ------ 1. ==[ start ]==> (((a b)(a a))(^b.(a b))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(a x))) 3. ==[ eta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 48728/3461253. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(((^z.b)(^x1.x1))((^z.b)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.b)(^z.z))((^x1.b)(^y1.y1)))) 5. ==[ beta ]==> (((^y.b)(^z.z))((^x1.b)(^y1.y1))) 6. ==[ alpha ]==> (((^x.b)(^y.y))((^z.b)(^x1.x1))) 7. ==[ beta ]==> (b ((^z.b)(^x1.x1))) 8. ==[ alpha ]==> (b ((^x.b)(^y.y))) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 48729/3461427. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 48730/3461769. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(^y.((a a) a))) 3. ==[ beta ]==> ((a ((a a) a))(^y.((a a) a))) 4. ==[ alpha ]==> ((a ((a a) a))(^x.((a a) a))) REDUCED to normal form. ------ 48731/3461931. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.a))) REDUCED to normal form. ------ 48732/3462219. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 48733/3462498. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^a.(^b.(^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. ------ 48734/3462606. ------ 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)))) REDUCED to normal form. ------ 48735/3462684. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z))(^x1.a))) 3. ==[ eta ]==> (b ((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 48736/3462993. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.(^y.y))((a a)(^z.z)))(^y1.y1)) 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. ------ 48737/3463047. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(a (^z.z)))) 3. ==[ beta ]==> (((a b)(a b))(^y.(a (^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(a (^y.y)))) REDUCED to normal form. ------ 48738/3463056. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^b.c)) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.c)) REDUCED to normal form. ------ 48739/3463110. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 48740/3463128. ------ 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. ------ 48741/3463164. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^c.b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.b)) 3. ==[ beta ]==> (((a a)(^y.a))(^z.b)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.b)) REDUCED to normal form. ------ 48742/3463233. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(b a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(b a)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 48743/3463254. ------ 1. ==[ start ]==> (((a a)(b a))(^b.(a a))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(a a))) REDUCED to normal form. ------ 48744/3463281. ------ 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. ------ 48745/3463308. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^a.(^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. ------ 48746/3463338. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a) a)((^a.a)(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. ------ 48747/3463365. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((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. ------ 48748/3463392. ------ 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. ------ 48749/3463428. ------ 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. ------ 48750/3463455. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 48751/3463482. ------ 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. ------ 48752/3463509. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a b)(^y.(y y)))) REDUCED to normal form. ------ 48753/3463536. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 48754/3463599. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(y y))(a b))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((a b)(a b))) REDUCED to normal form. ------ 48755/3463617. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(a a))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(a a))) 7. ==[ beta ]==> (a (^y.(a a))) 8. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 48756/3463626. ------ 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 (^x.x))(a a)) a) REDUCED to normal form. ------ 48757/3463653. ------ 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)))) 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. ------ 48758/3463698. ------ 1. ==[ start ]==> (((a (^a.a)) b)((b a) a)) 2. ==[ alpha ]==> (((a (^x.x)) b)((b a) a)) REDUCED to normal form. ------ 48759/3463725. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a) a)(((a a)(^y.y)) b)) 3. ==[ beta ]==> ((a a)(((a a)(^y.y)) b)) 4. ==[ alpha ]==> ((a a)(((a a)(^x.x)) b)) REDUCED to normal form. ------ 48760/3463752. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(a a)) c)) 3. ==[ beta ]==> (((a a)(^x.a))((a a) c)) REDUCED to normal form. ------ 48761/3463842. ------ 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) 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. ------ 48762/3463869. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.b)(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.b)(^x1.b))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 48763/3463896. ------ 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. ------ 48764/3463932. ------ 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. ------ 48765/3463959. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(a (b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 48766/3463995. ------ 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)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 48767/3464013. ------ 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 ]==> (((^y.y)(^y.y))(((^z.z)(a a))(a (^x1.x1)))) 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. ------ 48768/3464022. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.(a a)) c)) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(a a)) c)) 3. ==[ beta ]==> (((a (a a)) a)(a a)) REDUCED to normal form. ------ 48769/3464040. ------ 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. ------ 48770/3464067. ------ 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. ------ 48771/3464121. ------ 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. ------ 48772/3464148. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(a b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a (a b))) REDUCED to normal form. ------ 48773/3464193. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(b (^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. ------ 48774/3464238. ------ 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 b)(((a a)(^y.y))(^z.z))) 4. ==[ alpha ]==> ((b b)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 48775/3464274. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 48776/3464373. ------ 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. ------ 48777/3464400. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(^z.b))) 5. ==[ beta ]==> (a (((^y.y) a)(^z.b))) 6. ==[ alpha ]==> (a (((^x.x) a)(^y.b))) 7. ==[ beta ]==> (a (a (^y.b))) 8. ==[ alpha ]==> (a (a (^x.b))) REDUCED to normal form. ------ 48778/3464427. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(^x1.(a a)))) REDUCED to normal form. ------ 48779/3464481. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((a a)(^z.z)) a)) 3. ==[ beta ]==> ((a (^y.a))(((a a)(^z.z)) a)) 4. ==[ alpha ]==> ((a (^x.a))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 48780/3464508. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z)(a a)) b)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a a) b)) REDUCED to normal form. ------ 48781/3464535. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a b) c)) 3. ==[ beta ]==> (((^y.y)(^z.z))((a b) c)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a b) c)) 5. ==[ beta ]==> ((^y.y)((a b) c)) 6. ==[ alpha ]==> ((^x.x)((a b) c)) 7. ==[ beta ]==> ((a b) c) REDUCED to normal form. ------ 48782/3464598. ------ 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.(^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. ------ 48783/3464652. ------ 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. ------ 48784/3464679. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.(^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. ------ 48785/3464742. ------ 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 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. ------ 48786/3464796. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((a a) a)((^z.z) a))) 5. ==[ beta ]==> (a (((a a) a)((^z.z) a))) 6. ==[ alpha ]==> (a (((a a) a)((^x.x) a))) 7. ==[ beta ]==> (a (((a a) a) a)) REDUCED to normal form. ------ 48787/3464877. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)((a a) a))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a)((a a) a))) 5. ==[ beta ]==> (((a a) a)(a ((a a) a))) REDUCED to normal form. ------ 48788/3464904. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))(a b))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(a b))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a b))) 5. ==[ beta ]==> ((a (^y.y))(a b)) 6. ==[ alpha ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 48789/3464967. ------ 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. ------ 48790/3464994. ------ 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)(^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. ------ 48791/3465021. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a) a)(^y.a))) REDUCED to normal form. ------ 48792/3465057. ------ 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. ------ 48793/3465084. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(((^x1.x1)(^y1.y1))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)((^y1.y1)(^z1.z1)))) 8. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)((^x1.x1)(^y1.y1)))) 9. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)(^y1.y1))) 10. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.x1))) 11. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 12. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 48794/3465111. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.a)((a a) a))) 3. ==[ beta ]==> ((a (a (a a)))((^y.a)((a a) a))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.a)((a a) a))) 5. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 48795/3465138. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.(^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. ------ 48796/3465165. ------ 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 (^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. ------ 48797/3465192. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(a a))(^y.y))) 3. ==[ beta ]==> ((((a a) a)(a a))(a a)) REDUCED to normal form. ------ 48798/3465210. ------ 1. ==[ start ]==> (((^a.b) a)((a b) b)) 2. ==[ alpha ]==> (((^x.b) a)((a b) b)) 3. ==[ beta ]==> (b ((a b) b)) REDUCED to normal form. ------ 48799/3465219. ------ 1. ==[ start ]==> ((a (a b))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a b)) b) REDUCED to normal form. ------ 48800/3465390. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 48801/3465399. ------ 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. ------ 48802/3465417. ------ 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. ------ 48803/3465426. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.b) b)) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.b) b)) 3. ==[ beta ]==> (((a a)(^x.b)) b) REDUCED to normal form. ------ 48804/3465444. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((a a) a)(a (^z.z)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a (^y.y)))) 5. ==[ beta ]==> (((a a) a)(a (^y.y))) 6. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 48805/3465498. ------ 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. ------ 48806/3465579. ------ 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 b))) REDUCED to normal form. ------ 48807/3465624. ------ 1. ==[ start ]==> (((a a)(a b))((^a.b)(a a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.b)(a a))) 3. ==[ beta ]==> (((a a)(a b)) b) REDUCED to normal form. ------ 48808/3465678. ------ 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))((^z1.z1) a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 48809/3465705. ------ 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. ------ 48810/3465732. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (a ((^y.a)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (a ((^x.a)((^y.y)(^z.z)))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 48811/3465759. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 48812/3465777. ------ 1. ==[ start ]==> (((^a.b) b)((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.b) b)((a a)(^y.b))) 3. ==[ beta ]==> (b ((a a)(^y.b))) 4. ==[ alpha ]==> (b ((a a)(^x.b))) REDUCED to normal form. ------ 48813/3465786. ------ 1. ==[ start ]==> (((a b)(a a))((^a.a)(a b))) 2. ==[ alpha ]==> (((a b)(a a))((^x.x)(a b))) 3. ==[ beta ]==> (((a b)(a a))(a b)) REDUCED to normal form. ------ 48814/3465813. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.b)(^z.z))) 3. ==[ beta ]==> ((a (a a))((^y.b)(^z.z))) 4. ==[ alpha ]==> ((a (a a))((^x.b)(^y.y))) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 48815/3465984. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 48816/3465993. ------ 1. ==[ start ]==> (((a b) b)((^a.b) a)) 2. ==[ alpha ]==> (((a b) b)((^x.b) a)) 3. ==[ beta ]==> (((a b) b) b) REDUCED to normal form. ------ 48817/3466038. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^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)((^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. ------ 48818/3466047. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.(^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. ------ 48819/3466065. ------ 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) 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. ------ 48820/3466119. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.y1))((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 9. ==[ beta ]==> ((^y.y)((a (^z.z))((^x1.x1)(^y1.y1)))) 10. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z)(^x1.x1)))) 11. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.x1))) 12. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 13. ==[ beta ]==> ((a (^x.x))(^z.z)) 14. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 48821/3466182. ------ 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. ------ 48822/3466209. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 48823/3466236. ------ 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. ------ 48824/3466272. ------ 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)(a a))((^y.a)(a (a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(a (a a)))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 48825/3466299. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 48826/3466326. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.y)((a a) a))) 3. ==[ beta ]==> ((a ((a a) a))((^y.y)((a a) a))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.x)((a a) a))) 5. ==[ beta ]==> ((a ((a a) a))((a a) a)) REDUCED to normal form. ------ 48827/3466380. ------ 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.(^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. ------ 48828/3466407. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(y y))(^z.a))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(x x))(^y.a))) 5. ==[ beta ]==> ((((a a) a) a)((^y.a)(^y.a))) 6. ==[ alpha ]==> ((((a a) a) a)((^x.a)(^y.a))) 7. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 48829/3466425. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a) a) d)) 2. ==[ alpha ]==> (((^x.b) c)(((^y.y) a) d)) 3. ==[ beta ]==> (b (((^y.y) a) d)) 4. ==[ alpha ]==> (b (((^x.x) a) d)) 5. ==[ beta ]==> (b (a d)) REDUCED to normal form. ------ 48830/3466434. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.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. ------ 48831/3466461. ------ 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.(^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. ------ 48832/3466524. ------ 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.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. ------ 48833/3466668. ------ 1. ==[ start ]==> (((a b) c)(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b) c)(((^x.x)(^y.y))(^z.z))) 3. ==[ beta ]==> (((a b) c)((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a b) c)((^x.x)(^y.y))) 5. ==[ beta ]==> (((a b) c)(^y.y)) 6. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 48834/3466695. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) b)((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) b)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 48835/3466722. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a (^z.a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(a (^y.a))) REDUCED to normal form. ------ 48836/3466776. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 48837/3466803. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> ((a (^y.b))(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z)) a)) 5. ==[ beta ]==> ((a (^x.b))((^z.z) a)) 6. ==[ alpha ]==> ((a (^x.b))((^y.y) a)) 7. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 48838/3466857. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((^a.a) a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1) a) c)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) a) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a) c)) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a) c)) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a) c)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 48839/3466902. ------ 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 (b (a (a a)))) REDUCED to normal form. ------ 48840/3466938. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 48841/3466965. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(z z)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(b b)) REDUCED to normal form. ------ 48842/3467028. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(b (^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(b (^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(b (^y.(y y)))) REDUCED to normal form. ------ 48843/3467055. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(a (^y.(^z.z)))) 3. ==[ beta ]==> ((a (a b))(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a b))(a (^x.(^y.y)))) REDUCED to normal form. ------ 48844/3467082. ------ 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. ------ 48845/3467109. ------ 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 REDUCED to normal form. ------ 48846/3467136. ------ 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. ------ 48847/3467163. ------ 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. ------ 48848/3467190. ------ 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))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((^z.z)(^z.z))) 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. ------ 48849/3467217. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a)) a) REDUCED to normal form. ------ 48850/3467244. ------ 1. ==[ start ]==> ((a (b a))((^a.(^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. ------ 48851/3467334. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (b ((a (^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> (b ((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 48852/3467415. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(c b)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(c b)) 3. ==[ beta ]==> (b (c b)) REDUCED to normal form. ------ 48853/3467478. ------ 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)(^x.x)) b)(a a)) REDUCED to normal form. ------ 48854/3467523. ------ 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. ------ 48855/3467550. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^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. ------ 48856/3467586. ------ 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)) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 48857/3467604. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a a)(a (^y.y)))) 3. ==[ beta ]==> (((a b)(a b))((a a)(a (^y.y)))) 4. ==[ alpha ]==> (((a b)(a b))((a a)(a (^x.x)))) REDUCED to normal form. ------ 48858/3467613. ------ 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. ------ 48859/3467667. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 48860/3467685. ------ 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. ------ 48861/3467694. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (^y.y)) a)) REDUCED to normal form. ------ 48862/3467721. ------ 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. ------ 48863/3467748. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^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. ------ 48864/3467793. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(b a)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b a)) REDUCED to normal form. ------ 48865/3467811. ------ 1. ==[ start ]==> (((a a)(b a))((^a.a)(a a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.x)(a a))) 3. ==[ beta ]==> (((a a)(b a))(a a)) REDUCED to normal form. ------ 48866/3467838. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.z)(^x1.x1))) 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. ------ 48867/3467865. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(a (^z.z))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(a (^z.z))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(a (^y.y))) 5. ==[ beta ]==> ((a (a a))(a (^y.y))) 6. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 48868/3467976. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 48869/3470163. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (^y.((^z.(^x1.(z z)))(^z.(^x1.(z z))))) 4. ==[ alpha ]==> (^x.((^y.(^z.(y y)))(^x1.(^y1.(x1 x1))))) 5. ==[ beta ]==> (^x.(^z.((^x1.(^y1.(x1 x1)))(^x1.(^y1.(x1 x1)))))) 6. ==[ alpha ]==> (^x.(^y.((^z.(^x1.(z z)))(^y1.(^z1.(y1 y1)))))) 7. ==[ beta ]==> (^x.(^y.(^x1.((^y1.(^z1.(y1 y1)))(^y1.(^z1.(y1 y1))))))) 8. ==[ alpha ]==> (^x.(^y.(^z.((^x1.(^y1.(x1 x1)))(^z1.(^x2.(z1 z1))))))) 9. ==[ beta ]==> (^x.(^y.(^z.(^y1.((^z1.(^x2.(z1 z1)))(^z1.(^x2.(z1 z1)))))))) 10. ==[ alpha ]==> (^x.(^y.(^z.(^x1.((^y1.(^z1.(y1 y1)))(^x2.(^y2.(x2 x2)))))))) 11. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^z1.((^x2.(^y2.(x2 x2)))(^x2.(^y2.(x2 x2))))))))) 12. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.((^z1.(^x2.(z1 z1)))(^y2.(^z2.(y2 y2))))))))) 13. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^x2.((^y2.(^z2.(y2 y2)))(^y2.(^z2.(y2 y2)))))))))) 14. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.((^x2.(^y2.(x2 x2)))(^z2.(^x3.(z2 z2)))))))))) 15. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^y2.((^z2.(^x3.(z2 z2)))(^z2.(^x3.(z2 z2))))))))))) 16. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.((^y2.(^z2.(y2 y2)))(^x3.(^y3.(x3 x3))))))))))) 17. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^z2.((^x3.(^y3.(x3 x3)))(^x3.(^y3.(x3 x3)))))))))))) 18. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.((^z2.(^x3.(z2 z2)))(^y3.(^z3.(y3 y3)))))))))))) 19. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^x3.((^y3.(^z3.(y3 y3)))(^y3.(^z3.(y3 y3))))))))))))) 20. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.((^x3.(^y3.(x3 x3)))(^z3.(^x4.(z3 z3))))))))))))) 21. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^y3.((^z3.(^x4.(z3 z3)))(^z3.(^x4.(z3 z3)))))))))))))) 22. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.((^y3.(^z3.(y3 y3)))(^x4.(^y4.(x4 x4)))))))))))))) 23. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^z3.((^x4.(^y4.(x4 x4)))(^x4.(^y4.(x4 x4))))))))))))))) 24. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.((^z3.(^x4.(z3 z3)))(^y4.(^z4.(y4 y4))))))))))))))) 25. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^x4.((^y4.(^z4.(y4 y4)))(^y4.(^z4.(y4 y4)))))))))))))))) 26. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.((^x4.(^y4.(x4 x4)))(^z4.(^x5.(z4 z4)))))))))))))))) 27. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^y4.((^z4.(^x5.(z4 z4)))(^z4.(^x5.(z4 z4))))))))))))))))) 28. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^x4.((^y4.(^z4.(y4 y4)))(^x5.(^y5.(x5 x5))))))))))))))))) 29. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^x4.(^z4.((^x5.(^y5.(x5 x5)))(^x5.(^y5.(x5 x5)))))))))))))))))) 30. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^x4.(^y4.((^z4.(^x5.(z4 z4)))(^y5.(^z5.(y5 y5)))))))))))))))))) 31. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^x4.(^y4.(^x5.((^y5.(^z5.(y5 y5)))(^y5.(^z5.(y5 y5))))))))))))))))))) 32. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^x4.(^y4.(^z4.((^x5.(^y5.(x5 x5)))(^z5.(^x6.(z5 z5))))))))))))))))))) 33. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^x4.(^y4.(^z4.(^y5.((^z5.(^x6.(z5 z5)))(^z5.(^x6.(z5 z5)))))))))))))))))))) 34. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^x4.(^y4.(^z4.(^x5.((^y5.(^z5.(y5 y5)))(^x6.(^y6.(x6 x6)))))))))))))))))))) 35. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^x4.(^y4.(^z4.(^x5.(^z5.((^x6.(^y6.(x6 x6)))(^x6.(^y6.(x6 x6))))))))))))))))))))) UNREDUCED: maximal number of reductions reached. ------ 48870/3472350. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 48871/3472539. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 48872/3472542. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 48873/3472584. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((a a)(^a.a))(^a.(^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. ------ 48874/3472701. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.(^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. ------ 48875/3472812. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^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)) REDUCED to normal form. ------ 48876/3473394. ------ 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)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 48877/3474159. ------ 1. ==[ start ]==> ((^a.(^a.b))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 48878/3474339. ------ 1. ==[ start ]==> ((^a.(a b))((a b) b)) 2. ==[ alpha ]==> ((^x.(x b))((a b) b)) 3. ==[ beta ]==> (((a b) b) b) REDUCED to normal form. ------ 48879/3474513. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (b (^z.(^x1.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 48880/3474522. ------ 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. ------ 48881/3474711. ------ 1. ==[ start ]==> (((a b)(^a.a))(^c.(a b))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(a b))) REDUCED to normal form. ------ 48882/3474726. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(a (^z.(a a)))) 3. ==[ beta ]==> (^y.((a (^z.(a a)))(a (^z.(a a))))) 4. ==[ alpha ]==> (^x.((a (^y.(a a)))(a (^z.(a a))))) REDUCED to normal form. ------ 48883/3474729. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.(y y)))) REDUCED to normal form. ------ 48884/3474909. ------ 1. ==[ start ]==> (((a b)(a a))(^c.(^a.b))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(^y.b))) REDUCED to normal form. ------ 48885/3474933. ------ 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. ------ 48886/3475107. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 48887/3475116. ------ 1. ==[ start ]==> (((a b) b)(^a.(a b))) 2. ==[ alpha ]==> (((a b) b)(^x.(x b))) REDUCED to normal form. ------ 48888/3475782. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 48889/3476061. ------ 1. ==[ start ]==> ((((^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)))) 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. ------ 48890/3476286. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 48891/3476364. ------ 1. ==[ start ]==> ((^a.(b a))((a (^a.a)) c)) 2. ==[ alpha ]==> ((^x.(b x))((a (^y.y)) c)) 3. ==[ eta ]==> (b ((a (^y.y)) c)) 4. ==[ alpha ]==> (b ((a (^x.x)) c)) REDUCED to normal form. ------ 48892/3476673. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^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. ------ 48893/3476736. ------ 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. ------ 48894/3476808. ------ 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. ------ 48895/3476817. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^a.c)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.c)) REDUCED to normal form. ------ 48896/3476871. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(x1 (^y1.y1)))) REDUCED to normal form. ------ 48897/3476913. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(a (^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 48898/3476916. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 48899/3476934. ------ 1. ==[ start ]==> (((a a)(b a))(^c.(^a.a))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(^y.y))) REDUCED to normal form. ------ 48900/3476988. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^b.a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.a)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.a)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.a)) 5. ==[ beta ]==> ((a (a a))(^y.a)) 6. ==[ alpha ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 48901/3477036. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> (a (((^y.y) a)((^z.z)(a a)))) 4. ==[ alpha ]==> (a (((^x.x) a)((^y.y)(a a)))) 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. ------ 48902/3477063. ------ 1. ==[ start ]==> (((a a) a)((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 48903/3477090. ------ 1. ==[ start ]==> (((a a)(^a.a))((a a)(b a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a a)(b a))) REDUCED to normal form. ------ 48904/3477108. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 48905/3477126. ------ 1. ==[ start ]==> (((a a)(a a))((b a)(^a.a))) 2. ==[ alpha ]==> (((a a)(a a))((b a)(^x.x))) REDUCED to normal form. ------ 48906/3477153. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 48907/3477189. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^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. ------ 48908/3477216. ------ 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. ------ 48909/3477270. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(^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. ------ 48910/3477288. ------ 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. ------ 48911/3477315. ------ 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 (^x.x))(a a))(a (^z.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(a (^y.(a a)))) REDUCED to normal form. ------ 48912/3477351. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 48913/3477378. ------ 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. ------ 48914/3477459. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.(a a))(^b.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. ------ 48915/3477684. ------ 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. ------ 48916/3477711. ------ 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. ------ 48917/3477738. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a b)((^y.y) a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((a b) a)) REDUCED to normal form. ------ 48918/3477765. ------ 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. ------ 48919/3477792. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.x1))) 9. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 10. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 48920/3477819. ------ 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. ------ 48921/3477936. ------ 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))) REDUCED to normal form. ------ 48922/3477963. ------ 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 (^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. ------ 48923/3477972. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 48924/3477999. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^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. ------ 48925/3478053. ------ 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)(^x2.x2)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 48926/3478107. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(a b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(a b))) 5. ==[ beta ]==> ((^y.y)((^z.a)(a b))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(a b))) 7. ==[ beta ]==> ((^y.a)(a b)) 8. ==[ alpha ]==> ((^x.a)(a b)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 48927/3478134. ------ 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.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. ------ 48928/3478521. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(^z.z))(a (a a)))) 5. ==[ beta ]==> (b (((^y.y)(^z.z))(a (a a)))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))(a (a a)))) 7. ==[ beta ]==> (b ((^y.y)(a (a a)))) 8. ==[ alpha ]==> (b ((^x.x)(a (a a)))) 9. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 48929/3478548. ------ 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. ------ 48930/3478602. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(a b))) REDUCED to normal form. ------ 48931/3478629. ------ 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.z)(a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a (^x.(x x)))((a a)(a a))) REDUCED to normal form. ------ 48932/3478728. ------ 1. ==[ start ]==> ((a (^a.b))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 48933/3478746. ------ 1. ==[ start ]==> (((a a)((a a) a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(((^x.x)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.x)(^y.(y y)))) 5. ==[ beta ]==> (((a a)((a a) a))(^y.(y y))) 6. ==[ alpha ]==> (((a a)((a a) a))(^x.(x x))) REDUCED to normal form. ------ 48934/3478773. ------ 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.(^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. ------ 48935/3478827. ------ 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))) REDUCED to normal form. ------ 48936/3478854. ------ 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.(a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a a)(^z.(a a)))) 5. ==[ beta ]==> ((a (^y.y))((a a)(^z.(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(a a)))) REDUCED to normal form. ------ 48937/3478881. ------ 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. ------ 48938/3478908. ------ 1. ==[ start ]==> ((a (a b))((a b) b)) REDUCED to normal form. ------ 48939/3478917. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.b)(^a.(^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. ------ 48940/3478998. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))(^x1.(^y1.y1)))) IRREDUCIBLE: cycle. ------ 48941/3479061. ------ 1. ==[ start ]==> ((((a a) a) b)(b (a b))) REDUCED to normal form. ------ 48942/3479079. ------ 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 ((^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. ------ 48943/3479088. ------ 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. ------ 48944/3479115. ------ 1. ==[ start ]==> (((a a)(^a.b))((a b)(a a))) 2. ==[ alpha ]==> (((a a)(^x.b))((a b)(a a))) REDUCED to normal form. ------ 48945/3479169. ------ 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))((^z1.z1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)((^y1.y1) a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((^x1.x1) a))) 7. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1) a)) 8. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) a)) 9. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 48946/3479196. ------ 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. ------ 48947/3479223. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.a)(((^z.z) a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)(((^y.y) a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 48948/3479250. ------ 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. ------ 48949/3479268. ------ 1. ==[ start ]==> (((^a.b)(a a))(b (^a.b))) 2. ==[ alpha ]==> (((^x.b)(a a))(b (^y.b))) 3. ==[ beta ]==> (b (b (^y.b))) 4. ==[ alpha ]==> (b (b (^x.b))) REDUCED to normal form. ------ 48950/3479277. ------ 1. ==[ start ]==> (((a b)(^a.a))((a a)(a b))) 2. ==[ alpha ]==> (((a b)(^x.x))((a a)(a b))) REDUCED to normal form. ------ 48951/3479295. ------ 1. ==[ start ]==> ((a (^b.(a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.(a a)))) REDUCED to normal form. ------ 48952/3479313. ------ 1. ==[ start ]==> (((a a)(a b))((a b)(^a.a))) 2. ==[ alpha ]==> (((a a)(a b))((a b)(^x.x))) REDUCED to normal form. ------ 48953/3479340. ------ 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. ------ 48954/3479367. ------ 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)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.a))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.a))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.a))) 9. ==[ beta ]==> ((a (^x.x))(^z.a)) 10. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 48955/3479394. ------ 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. ------ 48956/3479421. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1) a)(^y1.(^z1.z1)))) 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)))) 9. ==[ beta ]==> (a (a (^y.(^z.z)))) 10. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 48957/3479475. ------ 1. ==[ start ]==> (((a b)(a a))((a a)(^a.b))) 2. ==[ alpha ]==> (((a b)(a a))((a a)(^x.b))) REDUCED to normal form. ------ 48958/3479502. ------ 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. ------ 48959/3479511. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> ((^y.(a a))((^z.b)(^x1.x1))) 4. ==[ alpha ]==> ((^x.(a a))((^y.b)(^z.z))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 48960/3479538. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^c.a)(^a.(^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. ------ 48961/3479592. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(z1 z1)))) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.(z1 z1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(z z)))) 7. ==[ beta ]==> ((^y.(y y))(^z.(z z))) 8. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) 9. ==[ beta ]==> ((^y.(y y))(^y.(y y))) 10. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) IRREDUCIBLE: cycle. ------ 48962/3479673. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 48963/3479682. ------ 1. ==[ start ]==> (((a b) b)(a (a b))) REDUCED to normal form. ------ 48964/3479709. ------ 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. ------ 48965/3479736. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^x.(a a)))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.(a a)))(a (^y.y))) REDUCED to normal form. ------ 48966/3479763. ------ 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) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((a (a a)) a)) REDUCED to normal form. ------ 48967/3479817. ------ 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)(^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. ------ 48968/3479844. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a a)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a)((a a) a))) 5. ==[ beta ]==> ((^y.(y y))((a a)((a a) a))) 6. ==[ alpha ]==> ((^x.(x x))((a a)((a a) a))) 7. ==[ beta ]==> (((a a)((a a) a))((a a)((a a) a))) REDUCED to normal form. ------ 48969/3479889. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^c.a)(a a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.a)(a a))) 3. ==[ beta ]==> (b ((^z.a)(a a))) 4. ==[ alpha ]==> (b ((^x.a)(a a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 48970/3479961. ------ 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.(z z)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) 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. ------ 48971/3479988. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 48972/3480042. ------ 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. ------ 48973/3480069. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z)) b)) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y)) b)) 7. ==[ beta ]==> ((a (a a))((^y.y) b)) 8. ==[ alpha ]==> ((a (a a))((^x.x) b)) 9. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 48974/3480114. ------ 1. ==[ start ]==> (((^a.b) c)(d ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) c)(d ((^y.y) a))) 3. ==[ beta ]==> (b (d ((^y.y) a))) 4. ==[ alpha ]==> (b (d ((^x.x) a))) 5. ==[ beta ]==> (b (d a)) REDUCED to normal form. ------ 48975/3480348. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 48976/3480429. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 48977/3480456. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 48978/3480510. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 48979/3480591. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.x1))(^y1.(y1 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. ------ 48980/3480600. ------ 1. ==[ start ]==> (((a b)(^b.a))(b (a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(b (a (a a)))) REDUCED to normal form. ------ 48981/3480627. ------ 1. ==[ start ]==> ((((^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)))) 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. ------ 48982/3480654. ------ 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))) REDUCED to normal form. ------ 48983/3480690. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.a) c)) 3. ==[ beta ]==> (((a a)((a a)(^x.x))) a) REDUCED to normal form. ------ 48984/3480771. ------ 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. ------ 48985/3480798. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1) a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 9. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 10. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 11. ==[ beta ]==> (a (^y.(^z.z))) 12. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 48986/3480825. ------ 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. ------ 48987/3480852. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a a)(^y.(y y)))) 3. ==[ beta ]==> (((a b) a)((a a)(^y.(y y)))) 4. ==[ alpha ]==> (((a b) a)((a a)(^x.(x x)))) REDUCED to normal form. ------ 48988/3480879. ------ 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. ------ 48989/3480906. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((^y.y) a) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(a b)) REDUCED to normal form. ------ 48990/3480933. ------ 1. ==[ start ]==> ((a (b a))((a (^a.a)) c)) 2. ==[ alpha ]==> ((a (b a))((a (^x.x)) c)) REDUCED to normal form. ------ 48991/3481023. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(c (^z.(^x1.x1)))) 5. ==[ beta ]==> (b (c (^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 48992/3481104. ------ 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) REDUCED to normal form. ------ 48993/3481212. ------ 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. ------ 48994/3481239. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^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. ------ 48995/3481275. ------ 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))) REDUCED to normal form. ------ 48996/3481293. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(b (^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a b))(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))(b (^x.(^y.y)))) REDUCED to normal form. ------ 48997/3481302. ------ 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. ------ 48998/3481356. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(b b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(b b)) REDUCED to normal form. ------ 48999/3481374. ------ 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. ------ 49000/3481383. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(a c)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(a c)) REDUCED to normal form. ------ 49001/3481410. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(b (a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(b (a a))) 3. ==[ beta ]==> (((a a)(^y.a))(b (a a))) 4. ==[ alpha ]==> (((a a)(^x.a))(b (a a))) REDUCED to normal form. ------ 49002/3481437. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (a (^x1.x1)))) REDUCED to normal form. ------ 49003/3481482. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 49004/3481500. ------ 1. ==[ start ]==> (((a a)(b a))((a a)(^a.a))) 2. ==[ alpha ]==> (((a a)(b a))((a a)(^x.x))) REDUCED to normal form. ------ 49005/3481527. ------ 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. ------ 49006/3481554. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.z) a)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.z) a)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.y) a)) 5. ==[ beta ]==> ((a (a a))((^y.y) a)) 6. ==[ alpha ]==> ((a (a a))((^x.x) a)) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 49007/3481580. ------ 1. ==[ start ]==> (^a.((a (a a))(a b))) 2. ==[ alpha ]==> (^x.((x (x x))(x b))) REDUCED to normal form. ------ 49008/3481581. ------ 1. ==[ start ]==> (a ((a (a a))(a b))) REDUCED to normal form. ------ 49009/3486048. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^b.b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.y1)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 49010/3486150. ------ 1. ==[ start ]==> (((a (a a))(a b)) a) REDUCED to normal form. ------ 49011/3486156. ------ 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. ------ 49012/3486183. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^z.z)(a a)))(((^y.y) a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((^z.z) a)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a ((^y.y)(a a)))(((^z.z) a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) a)((^z.z)(a a)))) 7. ==[ beta ]==> ((a (a a))(((^y.y) a)((^z.z)(a a)))) 8. ==[ alpha ]==> ((a (a a))(((^x.x) 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. ------ 49013/3486210. ------ 1. ==[ start ]==> ((^a.b)((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((a (^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 49014/3486258. ------ 1. ==[ start ]==> (((^a.a) b)(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) 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. ------ 49015/3486408. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (^y.(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (^x.(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> (^x.((^z.z)(^x1.a))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.a))) 7. ==[ beta ]==> (^x.(^z.a)) 8. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 49016/3486528. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^b.(b a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(y a))) REDUCED to normal form. ------ 49017/3487311. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 49018/3487533. ------ 1. ==[ start ]==> ((^a.((a a) a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(b ((^y.y)(a a)))) 3. ==[ beta ]==> (((b ((^y.y)(a a)))(b ((^y.y)(a a))))(b ((^y.y)(a a)))) 4. ==[ alpha ]==> (((b ((^x.x)(a a)))(b ((^y.y)(a a))))(b ((^z.z)(a a)))) 5. ==[ beta ]==> (((b (a a))(b ((^y.y)(a a))))(b ((^z.z)(a a)))) 6. ==[ alpha ]==> (((b (a a))(b ((^x.x)(a a))))(b ((^y.y)(a a)))) 7. ==[ beta ]==> (((b (a a))(b (a a)))(b ((^y.y)(a a)))) 8. ==[ alpha ]==> (((b (a a))(b (a a)))(b ((^x.x)(a a)))) 9. ==[ beta ]==> (((b (a a))(b (a a)))(b (a a))) REDUCED to normal form. ------ 49019/3487797. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 49020/3487866. ------ 1. ==[ start ]==> ((^a.(^a.b))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.b))(((a a) a)(^z.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 49021/3488229. ------ 1. ==[ start ]==> (((a b) a)(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a b) a)(^x.(^y.(a a)))) REDUCED to normal form. ------ 49022/3488823. ------ 1. ==[ start ]==> (((a b) b)(^b.(^a.b))) 2. ==[ alpha ]==> (((a b) b)(^x.(^y.x))) REDUCED to normal form. ------ 49023/3489012. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^a.(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.b))) REDUCED to normal form. ------ 49024/3489315. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((b ((^z.z)(^x1.x1)))(b ((^z.z)(^x1.x1))))(^y.y)) 4. ==[ alpha ]==> (((b ((^x.x)(^y.y)))(b ((^z.z)(^x1.x1))))(^y1.y1)) 5. ==[ beta ]==> (((b (^y.y))(b ((^z.z)(^x1.x1))))(^y1.y1)) 6. ==[ alpha ]==> (((b (^x.x))(b ((^y.y)(^z.z))))(^x1.x1)) 7. ==[ beta ]==> (((b (^x.x))(b (^z.z)))(^x1.x1)) 8. ==[ alpha ]==> (((b (^x.x))(b (^y.y)))(^z.z)) REDUCED to normal form. ------ 49025/3489498. ------ 1. ==[ start ]==> (((a b) c)(^a.(^c.a))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.x))) REDUCED to normal form. ------ 49026/3489633. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^b.((^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))(^y.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 49027/3489768. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 49028/3489885. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^c.(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)))) REDUCED to normal form. ------ 49029/3490071. ------ 1. ==[ start ]==> ((^a.(b a))(c (a (^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(c (a (^y.y)))) 3. ==[ eta ]==> (b (c (a (^y.y)))) 4. ==[ alpha ]==> (b (c (a (^x.x)))) REDUCED to normal form. ------ 49030/3490308. ------ 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)(^x.x)) b)(^y.a)) REDUCED to normal form. ------ 49031/3490515. ------ 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. ------ 49032/3490524. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 49033/3490578. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 49034/3490620. ------ 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. ------ 49035/3490623. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^b.b)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 49036/3490668. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(^a.b)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.b)) REDUCED to normal form. ------ 49037/3490695. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.(z z))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.(z z))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(y y))) 5. ==[ beta ]==> ((a (a a))(^y.(y y))) 6. ==[ alpha ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 49038/3490722. ------ 1. ==[ start ]==> (((a (a a))(a b))(^a.a)) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 49039/3490734. ------ 1. ==[ start ]==> ((a a)((a (a a))(a b))) REDUCED to normal form. ------ 49040/3490761. ------ 1. ==[ start ]==> ((a (a a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a a))(((^x.x) a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a a))(a ((^y.y)(a a)))) 4. ==[ alpha ]==> ((a (a a))(a ((^x.x)(a a)))) 5. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 49041/3490788. ------ 1. ==[ start ]==> ((a b)((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a b)((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 49042/3490833. ------ 1. ==[ start ]==> (((^a.a) b)(a (^a.(^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. ------ 49043/3490878. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 49044/3490887. ------ 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. ------ 49045/3490905. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^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. ------ 49046/3490914. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 49047/3490932. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a b)(^z.(z z)))) 3. ==[ beta ]==> ((a (^y.y))((a b)(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.x))((a b)(^y.(y y)))) REDUCED to normal form. ------ 49048/3490941. ------ 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. ------ 49049/3490959. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a 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. ------ 49050/3490986. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^x.a))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.a))) 5. ==[ beta ]==> ((a (^x.a))(^z.a)) 6. ==[ alpha ]==> ((a (^x.a))(^y.a)) REDUCED to normal form. ------ 49051/3491022. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 49052/3491067. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (^a.a))(^c.(^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 REDUCED to normal form. ------ 49053/3491103. ------ 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. ------ 49054/3491148. ------ 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. ------ 49055/3491157. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.(^a.a))(^a.(^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. ------ 49056/3491184. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.(a a))(^b.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. ------ 49057/3491211. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 49058/3491319. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.(a a)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 49059/3491445. ------ 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. ------ 49060/3491571. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x) a)(a b))) 3. ==[ beta ]==> (((a a)(a (a a)))(a (a b))) REDUCED to normal form. ------ 49061/3491598. ------ 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 (^y.y))(a a))) REDUCED to normal form. ------ 49062/3491625. ------ 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. ------ 49063/3491688. ------ 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.(^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. ------ 49064/3491715. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a b)(^b.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. ------ 49065/3491769. ------ 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.(^x2.x2)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 11. ==[ beta ]==> (^y.(^z.z)) 12. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 49066/3491778. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 49067/3491805. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(z z))((a a) a))) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z))((a a) a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(y y))((a a) a))) 5. ==[ beta ]==> (a ((^y.(y y))((a a) a))) 6. ==[ alpha ]==> (a ((^x.(x x))((a a) a))) 7. ==[ beta ]==> (a (((a a) a)((a a) a))) REDUCED to normal form. ------ 49068/3491823. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.b))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.b))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.b))) 7. ==[ beta ]==> (((^y.y) a)(^z.b)) 8. ==[ alpha ]==> (((^x.x) a)(^y.b)) 9. ==[ beta ]==> (a (^y.b)) 10. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 49069/3491832. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.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. ------ 49070/3491850. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a (^z.z))(^x1.(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. ------ 49071/3491859. ------ 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.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. ------ 49072/3491886. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^x.a))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.a))((a a)(^y.y))) REDUCED to normal form. ------ 49073/3491904. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((a a)(^z.z)) a)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((a a)(^z.z)) a)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 49074/3491940. ------ 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.(^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. ------ 49075/3492111. ------ 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. ------ 49076/3492147. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 49077/3492201. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.b) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.b) c)) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.b) c)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.b) c)) 5. ==[ beta ]==> (a ((^z.b) c)) 6. ==[ alpha ]==> (a ((^x.b) c)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 49078/3492318. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(c (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(c (^x1.b))) REDUCED to normal form. ------ 49079/3492345. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(b (^z.(a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))(b (^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(b (^y.(a a)))) REDUCED to normal form. ------ 49080/3492372. ------ 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. ------ 49081/3492399. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(a a))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(a a))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 49082/3492426. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.x)) b) REDUCED to normal form. ------ 49083/3492444. ------ 1. ==[ start ]==> ((a (^a.b))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.b))(((a a) a)(^y.a))) REDUCED to normal form. ------ 49084/3492615. ------ 1. ==[ start ]==> (((^a.b) a)((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(a a))(^z.z))) 3. ==[ beta ]==> (b ((^y.(a a))(^z.z))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.y))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 49085/3492633. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a b) b)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a b) b)) 3. ==[ beta ]==> ((^y.b)((a b) b)) 4. ==[ alpha ]==> ((^x.b)((a b) b)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 49086/3492777. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(^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. ------ 49087/3492804. ------ 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. ------ 49088/3492822. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.(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. ------ 49089/3492849. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.b) b)) 3. ==[ beta ]==> ((^y.y)((^z.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. ------ 49090/3492993. ------ 1. ==[ start ]==> (((a b)(^a.a))(b (^a.b))) 2. ==[ alpha ]==> (((a b)(^x.x))(b (^y.b))) REDUCED to normal form. ------ 49091/3493182. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(^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. ------ 49092/3493227. ------ 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. ------ 49093/3493254. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((a a) a) b)) 3. ==[ beta ]==> ((^y.y)(((a a) a) b)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) b)) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 49094/3493398. ------ 1. ==[ start ]==> (((a b) b)((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a b) b)((^x.x)(^y.b))) 3. ==[ beta ]==> (((a b) b)(^y.b)) 4. ==[ alpha ]==> (((a b) b)(^x.b)) REDUCED to normal form. ------ 49095/3493470. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.(^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. ------ 49096/3493533. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(c (^z.(^x1.x1)))) REDUCED to normal form. ------ 49097/3493560. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(b (^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(b (^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b (^z.a))) 5. ==[ beta ]==> ((^y.(y y))(b (^z.a))) 6. ==[ alpha ]==> ((^x.(x x))(b (^y.a))) 7. ==[ beta ]==> ((b (^y.a))(b (^y.a))) 8. ==[ alpha ]==> ((b (^x.a))(b (^y.a))) REDUCED to normal form. ------ 49098/3493587. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(a (^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(a (^y.b))) REDUCED to normal form. ------ 49099/3493605. ------ 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 (((a a) a)(^z.z))) 4. ==[ alpha ]==> (b (((a a) a)(^x.x))) REDUCED to normal form. ------ 49100/3493614. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^c.a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)(a a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 49101/3493641. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 49102/3493830. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(a a))(^b.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. ------ 49103/3493893. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(b ((^y.y)(^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. ------ 49104/3493929. ------ 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)((^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. ------ 49105/3494073. ------ 1. ==[ start ]==> (((a b) c)(a (^c.a))) 2. ==[ alpha ]==> (((a b) c)(a (^x.a))) REDUCED to normal form. ------ 49106/3494100. ------ 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)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 49107/3494127. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 49108/3494145. ------ 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)(^x.x))(a (^z.a))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.a))) REDUCED to normal form. ------ 49109/3494172. ------ 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 (^x1.x1))(^y1.(y1 y1)))) 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. ------ 49110/3494181. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 49111/3494208. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.b))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a (^x.b))(^z.z)) 8. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 49112/3494226. ------ 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 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. ------ 49113/3494262. ------ 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))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 49114/3494289. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.a)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x))) a) REDUCED to normal form. ------ 49115/3494316. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 49116/3494343. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 49117/3494406. ------ 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. ------ 49118/3494433. ------ 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. ------ 49119/3494460. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a a)(a (a a)))) 3. ==[ beta ]==> ((a (a b))((a a)(a (a a)))) REDUCED to normal form. ------ 49120/3494649. ------ 1. ==[ start ]==> ((a (b a))(c (a (^a.a)))) 2. ==[ alpha ]==> ((a (b a))(c (a (^x.x)))) REDUCED to normal form. ------ 49121/3494739. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.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)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 49122/3494820. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.y))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 49123/3494883. ------ 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)(^x.x)) b)((^z.z) a)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.y) a)) 5. ==[ beta ]==> ((((a a)(^x.x)) b) a) REDUCED to normal form. ------ 49124/3494928. ------ 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. ------ 49125/3494991. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(c (^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(c (^z.z))) 3. ==[ beta ]==> ((a (^y.(a a)))(c (^z.z))) 4. ==[ alpha ]==> ((a (^x.(a a)))(c (^y.y))) REDUCED to normal form. ------ 49126/3495009. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z)) b)) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y)) b)) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 49127/3495018. ------ 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. ------ 49128/3495072. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.(^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. ------ 49129/3495090. ------ 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. ------ 49130/3495099. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(a (^z.z))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 49131/3495126. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 49132/3495153. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 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. ------ 49133/3495198. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.a) b)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1) b)) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 49134/3495216. ------ 1. ==[ start ]==> (((a a)(b a))(b a)) REDUCED to normal form. ------ 49135/3495243. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(a b)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(a b)) REDUCED to normal form. ------ 49136/3495270. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(a (a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(a (a a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(a (a a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(a (a a))) 5. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 49137/3495297. ------ 1. ==[ start ]==> (((a (a a))(a b))(a a)) REDUCED to normal form. ------ 49138/3497586. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^c.(a b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(a b))) 3. ==[ beta ]==> (^y.((^z.(a b))(^z.(a b)))) 4. ==[ alpha ]==> (^x.((^y.(a b))(^z.(a b)))) 5. ==[ beta ]==> (^x.(a b)) REDUCED to normal form. ------ 49139/3497793. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^b.(a b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.(a z))) 3. ==[ eta ]==> ((^x.((^y.y)(x x))) a) 4. ==[ beta ]==> ((^y.y)(a a)) 5. ==[ alpha ]==> ((^x.x)(a a)) 6. ==[ beta ]==> (a a) REDUCED to normal form. ------ 49140/3499875. ------ 1. ==[ start ]==> (((a (a a))(a b)) b) REDUCED to normal form. ------ 49141/3499899. ------ 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. ------ 49142/3499944. ------ 1. ==[ start ]==> ((^a.b)(c (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(c (^y.(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 49143/3499980. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 49144/3500001. ------ 1. ==[ start ]==> (((a a)(a a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 49145/3500214. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.a)((^x1.x1)(a a)))) 3. ==[ eta ]==> ((^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. ------ 49146/3500262. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^c.(^d.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.a))) REDUCED to normal form. ------ 49147/3500484. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((^y.a)(^z.(a a)))(((^y.a)(^z.(a a)))((^y.a)(^z.(a a))))) 4. ==[ alpha ]==> (((^x.a)(^y.(a a)))(((^z.a)(^x1.(a a)))((^y1.a)(^z1.(a a))))) 5. ==[ beta ]==> (a (((^z.a)(^x1.(a a)))((^y1.a)(^z1.(a a))))) 6. ==[ alpha ]==> (a (((^x.a)(^y.(a a)))((^z.a)(^x1.(a a))))) 7. ==[ beta ]==> (a (a ((^z.a)(^x1.(a a))))) 8. ==[ alpha ]==> (a (a ((^x.a)(^y.(a a))))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 49148/3500709. ------ 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. ------ 49149/3501045. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 49150/3501267. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(^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. ------ 49151/3501306. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((y1 y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^y1.((y1 y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y)(^z.z)))) 5. ==[ beta ]==> (^y.((y y)(^z.z))) 6. ==[ alpha ]==> (^x.((x x)(^y.y))) REDUCED to normal form. ------ 49152/3501756. ------ 1. ==[ start ]==> ((((a a) a)(a a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(^x.((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a)(a a))(^x.(a a))) REDUCED to normal form. ------ 49153/3501780. ------ 1. ==[ start ]==> ((^a.(a b))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((^y.(a a))(^z.z)) b) 4. ==[ alpha ]==> (((^x.(a a))(^y.y)) b) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 49154/3501981. ------ 1. ==[ start ]==> (((^a.a)(a b))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> ((a b)(^y.((^z.z)(y y)))) 4. ==[ alpha ]==> ((a b)(^x.((^y.y)(x x)))) 5. ==[ beta ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 49155/3502167. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a a)(a b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a a)(a b))) 3. ==[ beta ]==> (^y.(((a a)(a b))((a a)(a b)))) 4. ==[ alpha ]==> (^x.(((a a)(a b))((a a)(a b)))) REDUCED to normal form. ------ 49156/3502170. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^c.(a b))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(a b))) REDUCED to normal form. ------ 49157/3502188. ------ 1. ==[ start ]==> (((a a)(a b))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(^y.(x x)))) REDUCED to normal form. ------ 49158/3502374. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.z)(a b))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a b))((^z.z)(a b)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a b))((^z.z)(a b)))) 5. ==[ beta ]==> (((^y.y)(a b))((^z.z)(a b))) 6. ==[ alpha ]==> (((^x.x)(a b))((^y.y)(a b))) 7. ==[ beta ]==> ((a b)((^y.y)(a b))) 8. ==[ alpha ]==> ((a b)((^x.x)(a b))) 9. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 49159/3502377. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^b.(a b))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(a y))) 3. ==[ eta ]==> ((a ((^x.x)(a a))) a) 4. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 49160/3502917. ------ 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. ------ 49161/3503049. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(^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. ------ 49162/3503088. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^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. ------ 49163/3503223. ------ 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 (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 49164/3503367. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^c.(^b.(^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. ------ 49165/3503646. ------ 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. ------ 49166/3503754. ------ 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. ------ 49167/3503805. ------ 1. ==[ start ]==> ((^a.(b a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.a)(^z.(^x1.x1)))) 3. ==[ eta ]==> (b ((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 49168/3504042. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^c.(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.a))) REDUCED to normal form. ------ 49169/3504258. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 49170/3504354. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a a)(a a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 49171/3504375. ------ 1. ==[ start ]==> (((a a)(b a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 49172/3504402. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 49173/3504429. ------ 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. ------ 49174/3504456. ------ 1. ==[ start ]==> (((a (a a))(a b))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(^y.y))) REDUCED to normal form. ------ 49175/3504486. ------ 1. ==[ start ]==> ((a (^a.a))((a (a a))(a b))) 2. ==[ alpha ]==> ((a (^x.x))((a (a a))(a b))) REDUCED to normal form. ------ 49176/3504513. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(a a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)(a a))) 7. ==[ beta ]==> (a ((^y.y)(a a))) 8. ==[ alpha ]==> (a ((^x.x)(a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 49177/3504531. ------ 1. ==[ start ]==> ((a b)(c (^c.(^a.a)))) 2. ==[ alpha ]==> ((a b)(c (^x.(^y.y)))) REDUCED to normal form. ------ 49178/3504540. ------ 1. ==[ start ]==> (((^a.a)(a a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a a)((a (^y.y))((a a)(^z.z)))) 4. ==[ alpha ]==> ((a a)((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 49179/3504567. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(b a))) REDUCED to normal form. ------ 49180/3504585. ------ 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. ------ 49181/3504603. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 49182/3504630. ------ 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. ------ 49183/3504657. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (((a (^x.x)) a)((a a)(^z.a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a a)(^y.a))) REDUCED to normal form. ------ 49184/3504684. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)(^z.(z z)))) REDUCED to normal form. ------ 49185/3504711. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 49186/3504747. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 49187/3504765. ------ 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. ------ 49188/3504774. ------ 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 (^x.x))(a a))((a b)(a b))) REDUCED to normal form. ------ 49189/3504801. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a a)((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a a)((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 49190/3504873. ------ 1. ==[ start ]==> ((((^a.a) a) a)((b a) a)) 2. ==[ alpha ]==> ((((^x.x) a) a)((b a) a)) 3. ==[ beta ]==> ((a a)((b a) a)) REDUCED to normal form. ------ 49191/3504900. ------ 1. ==[ start ]==> (((a a)(^b.a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.a))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 49192/3505017. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(^y1.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. ------ 49193/3505044. ------ 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. ------ 49194/3505071. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.a)(^y.(a a)))) 3. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 49195/3505107. ------ 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. ------ 49196/3505161. ------ 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 ]==> (((^y.y)(^y.y))(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))(a a))) 5. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(a a))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a a))) 7. ==[ beta ]==> (((a a)(^y.y))(a a)) 8. ==[ alpha ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 49197/3505188. ------ 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. ------ 49198/3505197. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(a a)) c)) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 49199/3505215. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 49200/3505269. ------ 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)(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. ------ 49201/3505296. ------ 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. ------ 49202/3505368. ------ 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. ------ 49203/3505521. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) b)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a)) b)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a (a a)) b)(^y.(^z.z))) 6. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.y))) REDUCED to normal form. ------ 49204/3505575. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.b))) REDUCED to normal form. ------ 49205/3505602. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (^z.z))(^x1.(a a)))) REDUCED to normal form. ------ 49206/3505629. ------ 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. ------ 49207/3505656. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 49208/3505683. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1)(a a)) b)) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a)) b)) 5. ==[ beta ]==> ((^y.y)(((^z.z)(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. ------ 49209/3505719. ------ 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)(^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. ------ 49210/3505773. ------ 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.(^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)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 49211/3505827. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a)(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(^z.b))) 5. ==[ beta ]==> ((a a)((^y.a)(^z.b))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.b))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 49212/3505854. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((a ((a a) a))(^y.y)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 49213/3505890. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a ((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(a ((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(a ((a a)(^y.y)))) 5. ==[ beta ]==> (a ((a a)(^y.y))) 6. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 49214/3505944. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a b)(a (^z.z)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a b)(a (^z.z)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a b)(a (^z.z)))) 5. ==[ beta ]==> (a ((a b)(a (^z.z)))) 6. ==[ alpha ]==> (a ((a b)(a (^x.x)))) REDUCED to normal form. ------ 49215/3505980. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^c.a) d)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.a) d)) 3. ==[ beta ]==> (((^y.y) b)((^z.a) d)) 4. ==[ alpha ]==> (((^x.x) b)((^y.a) d)) 5. ==[ beta ]==> (b ((^y.a) d)) 6. ==[ alpha ]==> (b ((^x.a) d)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 49216/3506025. ------ 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. ------ 49217/3506052. ------ 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)((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. ------ 49218/3506106. ------ 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) a)((^y.y) a))((a a)((^z.z)(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 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. ------ 49219/3506142. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))(^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. ------ 49220/3506169. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 49221/3506232. ------ 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.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 49222/3506259. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a (a a)))(((^y.y)(^z.z))((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (a (a a)))((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((a (a (a a)))((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> ((a (a (a a)))((^y.y)(^z.z))) 10. ==[ alpha ]==> ((a (a (a a)))((^x.x)(^y.y))) 11. ==[ beta ]==> ((a (a (a a)))(^y.y)) 12. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 49223/3506286. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.a)((a a) a))) 3. ==[ beta ]==> (((a (a a)) a)((^y.a)((a a) a))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.a)((a a) a))) 5. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 49224/3506313. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.(^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. ------ 49225/3506340. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.y)(a a))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)(a a))) 5. ==[ beta ]==> ((((a a) a)(a a))(a a)) REDUCED to normal form. ------ 49226/3506358. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.b) 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. ------ 49227/3506367. ------ 1. ==[ start ]==> ((a (a b))((^b.(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. ------ 49228/3506538. ------ 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. ------ 49229/3506565. ------ 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. ------ 49230/3506574. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(a a)) a)) 3. ==[ beta ]==> (((a a)(^x.b))(a a)) REDUCED to normal form. ------ 49231/3506592. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a b)(a a))) 3. ==[ beta ]==> ((^y.y)((a b)(a a))) 4. ==[ alpha ]==> ((^x.x)((a b)(a a))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 49232/3506628. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^c.a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a) c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a) c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a) c)) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 49233/3506646. ------ 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) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)((^z.z) a))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)((^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. ------ 49234/3506727. ------ 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 ((a (^y.y))((a a) a))) 4. ==[ alpha ]==> (b ((a (^x.x))((a a) a))) REDUCED to normal form. ------ 49235/3506754. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a a)(a b))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a a)(a b))) REDUCED to normal form. ------ 49236/3506772. ------ 1. ==[ start ]==> (((a a)(a b))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))(a (^x.(a a)))) REDUCED to normal form. ------ 49237/3506799. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.b)(a a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) b) REDUCED to normal form. ------ 49238/3506853. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 49239/3506880. ------ 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 x1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(x1 x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(z z))(a (a a)))) 5. ==[ beta ]==> (((^y.y) a)((^z.(z z))(a (a a)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(a (a a)))) 7. ==[ beta ]==> (a ((^y.(y y))(a (a a)))) 8. ==[ alpha ]==> (a ((^x.(x x))(a (a a)))) 9. ==[ beta ]==> (a ((a (a a))(a (a a)))) REDUCED to normal form. ------ 49240/3506907. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x))) a) REDUCED to normal form. ------ 49241/3506925. ------ 1. ==[ start ]==> (((^a.b) b)((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b) b)((a (^y.y))(^z.a))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.a))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.a))) REDUCED to normal form. ------ 49242/3506934. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(^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. ------ 49243/3506961. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.y)(a b))) 3. ==[ beta ]==> ((a (a a))((^y.y)(a b))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(a b))) 5. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 49244/3507132. ------ 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. ------ 49245/3507168. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.b) a)) 3. ==[ beta ]==> (((a a) a)((^y.b) a)) 4. ==[ alpha ]==> (((a a) a)((^x.b) a)) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 49246/3507186. ------ 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. ------ 49247/3507195. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^c.a) b)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a) b)) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 49248/3507213. ------ 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 (^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. ------ 49249/3507222. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 49250/3507267. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((^x1.x1) a)(a (a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1) a)(a (a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a)(a (a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1) a)(a (a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)(a (a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(a (a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(a (a a)))) 9. ==[ beta ]==> ((^y.y)(((^z.z) a)(a (a a)))) 10. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (a a)))) 11. ==[ beta ]==> (((^y.y) a)(a (a a))) 12. ==[ alpha ]==> (((^x.x) a)(a (a a))) 13. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 49251/3507357. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a) a)(^z.z))) REDUCED to normal form. ------ 49252/3507384. ------ 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)(^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. ------ 49253/3507420. ------ 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))((^z.z) a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> (((a a)(a a))(((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> (((a a)(a a))(a ((^y.y) a))) 8. ==[ alpha ]==> (((a a)(a a))(a ((^x.x) a))) 9. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 49254/3507447. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.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. ------ 49255/3507474. ------ 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)(^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. ------ 49256/3507501. ------ 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. ------ 49257/3507555. ------ 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))(^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. ------ 49258/3507573. ------ 1. ==[ start ]==> (((^a.b) c)((a (a a)) c)) 2. ==[ alpha ]==> (((^x.b) c)((a (a a)) c)) 3. ==[ beta ]==> (b ((a (a a)) c)) REDUCED to normal form. ------ 49259/3507582. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(a a))(^b.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. ------ 49260/3507609. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 49261/3507636. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(^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. ------ 49262/3507672. ------ 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))) 4. ==[ alpha ]==> ((^x.x)(a ((a a) a))) 5. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 49263/3507807. ------ 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)))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 49264/3507843. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a) b)(((^y.y)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(^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. ------ 49265/3507870. ------ 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. ------ 49266/3507924. ------ 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. ------ 49267/3507951. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a a)(^b.(^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. ------ 49268/3508005. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (a a)) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (a a)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a)) b)) 5. ==[ beta ]==> ((^y.(^z.z))((a (a a)) b)) 6. ==[ alpha ]==> ((^x.(^y.y))((a (a a)) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 49269/3508050. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 49270/3508113. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1)) 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. ------ 49271/3508203. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 49272/3508230. ------ 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. ------ 49273/3508257. ------ 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))(a a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))(a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))(a a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(a a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(a a))) 7. ==[ beta ]==> ((^y.y)((^z.(z z))(a a))) 8. ==[ alpha ]==> ((^x.x)((^y.(y y))(a a))) 9. ==[ beta ]==> ((^y.(y y))(a a)) 10. ==[ alpha ]==> ((^x.(x x))(a a)) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 49274/3508284. ------ 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. ------ 49275/3508311. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 49276/3508338. ------ 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. ------ 49277/3508365. ------ 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))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((^z.z)(^z.z))) 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. ------ 49278/3508392. ------ 1. ==[ start ]==> ((a (b a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 49279/3508482. ------ 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. ------ 49280/3508626. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a a)(^y.a))) REDUCED to normal form. ------ 49281/3508671. ------ 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. ------ 49282/3508698. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(b (a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(b (a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(b (a (^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 49283/3508734. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.a) a)) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.a) a)) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.a) a)) 5. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 49284/3508752. ------ 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))) REDUCED to normal form. ------ 49285/3508761. ------ 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. ------ 49286/3508815. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 49287/3508833. ------ 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. ------ 49288/3508842. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 49289/3508869. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a (^z.z)) a)) 3. ==[ beta ]==> (((a a)(^y.a))((a (^z.z)) a)) 4. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y)) a)) REDUCED to normal form. ------ 49290/3508896. ------ 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. ------ 49291/3508941. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a a)(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a)(a a))) REDUCED to normal form. ------ 49292/3508959. ------ 1. ==[ start ]==> (((a a)(b a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 49293/3508986. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.z)(a a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a a)) REDUCED to normal form. ------ 49294/3509013. ------ 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. ------ 49295/3509040. ------ 1. ==[ start ]==> (((a (a a))(a b))(a (^a.a))) 2. ==[ alpha ]==> (((a (a a))(a b))(a (^x.x))) REDUCED to normal form. ------ 49296/3513627. ------ 1. ==[ start ]==> (((a (a a))(a b)) c) REDUCED to normal form. ------ 49297/3513753. ------ 1. ==[ start ]==> (((^a.a) b)(^c.(b a))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(b a))) 3. ==[ beta ]==> (b (^y.(b a))) 4. ==[ alpha ]==> (b (^x.(b a))) REDUCED to normal form. ------ 49298/3513786. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((b a)(^z.z))) 3. ==[ beta ]==> (((b a)(^z.z))(^y.y)) 4. ==[ alpha ]==> (((b a)(^x.x))(^y.y)) REDUCED to normal form. ------ 49299/3513903. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (^x.((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 49300/3513975. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z) a)(^x1.(a a)))) 3. ==[ eta ]==> ((^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. ------ 49301/3514146. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 49302/3514320. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(b y))) 3. ==[ eta ]==> ((((^x.x) a) b) b) 4. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 49303/3514563. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.((a a)(^z.z)))) 3. ==[ beta ]==> ((b b)(^y.((a a)(^z.z)))) 4. ==[ alpha ]==> ((b b)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 49304/3514596. ------ 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)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 49305/3514824. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 49306/3515067. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 49307/3515292. ------ 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))(^y.(a a))) REDUCED to normal form. ------ 49308/3515361. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 49309/3515541. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y)(a a)) a)) 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. ------ 49310/3515742. ------ 1. ==[ start ]==> (((^a.a)(a b))(^b.(^b.(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. ------ 49311/3515751. ------ 1. ==[ start ]==> (((a a)(^a.b))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (((a a)(^x.b))(^y.(y y))) REDUCED to normal form. ------ 49312/3515928. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(b (^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(b (^z.b))) 3. ==[ beta ]==> (^y.((b (^z.b))(b (^z.b)))) 4. ==[ alpha ]==> (^x.((b (^y.b))(b (^z.b)))) REDUCED to normal form. ------ 49313/3516135. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a a)(^z.b))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.b))((a a)(^z.b)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.b))((a a)(^z.b)))) 5. ==[ beta ]==> (((a a)(^y.b))((a a)(^z.b))) 6. ==[ alpha ]==> (((a a)(^x.b))((a a)(^y.b))) REDUCED to normal form. ------ 49314/3516147. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^b.(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(a z))) 3. ==[ eta ]==> (((^x.x)(^y.(a a))) a) 4. ==[ beta ]==> ((^y.(a a)) a) 5. ==[ alpha ]==> ((^x.(a a)) a) 6. ==[ beta ]==> (a a) REDUCED to normal form. ------ 49315/3516345. ------ 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))) REDUCED to normal form. ------ 49316/3516507. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^c.((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.((a a) a))) REDUCED to normal form. ------ 49317/3516525. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(^x1.b))) 3. ==[ beta ]==> (b (^z.(^x1.b))) 4. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 49318/3516849. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^b.(^c.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. ------ 49319/3516993. ------ 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)(^x.(^z.z))) 4. ==[ alpha ]==> (((a b) c)(^x.(^y.y))) REDUCED to normal form. ------ 49320/3517146. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^x.(^z.z))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 49321/3517290. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^z.(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 49322/3517566. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y) a) b)) 3. ==[ eta ]==> (b (((^y.y) a) b)) 4. ==[ alpha ]==> (b (((^x.x) a) b)) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 49323/3517740. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 49324/3517911. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((^x.x) a)(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.z)) 5. ==[ beta ]==> ((a (^y.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 49325/3518046. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^a.c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.c)) 3. ==[ beta ]==> (((a a)(^y.a))(^z.c)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.c)) REDUCED to normal form. ------ 49326/3518115. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(b (^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(b (^y1.y1))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 49327/3518136. ------ 1. ==[ start ]==> (((a a)(b a))(^b.b)) 2. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 49328/3518217. ------ 1. ==[ start ]==> (((a (a a))(a b))(^b.a)) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.a)) REDUCED to normal form. ------ 49329/3518265. ------ 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. ------ 49330/3518292. ------ 1. ==[ start ]==> (((a a) a)(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a) a)(((^x.x) a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a) a)(a ((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a) a)(a ((^x.x)(a a)))) 5. ==[ beta ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 49331/3518319. ------ 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)))) REDUCED to normal form. ------ 49332/3518346. ------ 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. ------ 49333/3518382. ------ 1. ==[ start ]==> ((a (a (^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((b a)(^y.y))) REDUCED to normal form. ------ 49334/3518445. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 49335/3518472. ------ 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. ------ 49336/3518499. ------ 1. ==[ start ]==> ((a (^b.a))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 49337/3518544. ------ 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. ------ 49338/3518571. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(^z.(a a)))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.(a a)))) 5. ==[ beta ]==> ((a a)(a (^y.(a a)))) 6. ==[ alpha ]==> ((a a)(a (^x.(a a)))) REDUCED to normal form. ------ 49339/3518580. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.a)((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.a)((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 49340/3518607. ------ 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 a)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((a a)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 49341/3518742. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 49342/3518850. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.(y y))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.a)(^z.(a a)))) 5. ==[ beta ]==> (((^y.a)(^z.(a a)))((^y.a)(^z.(a a)))) 6. ==[ alpha ]==> (((^x.a)(^y.(a a)))((^z.a)(^x1.(a a)))) 7. ==[ beta ]==> (a ((^z.a)(^x1.(a a)))) 8. ==[ alpha ]==> (a ((^x.a)(^y.(a a)))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 49343/3518877. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(^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. ------ 49344/3518913. ------ 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. ------ 49345/3518940. ------ 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. ------ 49346/3518967. ------ 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. ------ 49347/3518994. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a b)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((a b) a)) REDUCED to normal form. ------ 49348/3519021. ------ 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. ------ 49349/3519048. ------ 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. ------ 49350/3519156. ------ 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 b)((a a)((a a)(^y.y)))) 4. ==[ alpha ]==> ((b b)((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 49351/3519192. ------ 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 (^y.y))(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 49352/3519201. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 49353/3519228. ------ 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 (^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. ------ 49354/3519336. ------ 1. ==[ start ]==> (((^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) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))((a a) a))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))((a a) a))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))((a a) a))) 7. ==[ beta ]==> ((^y.(y y))((a a) a)) 8. ==[ alpha ]==> ((^x.(x x))((a a) a)) 9. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 49355/3519363. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^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. ------ 49356/3519417. ------ 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 a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)((a a)(^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. ------ 49357/3519489. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a b) c)) 2. ==[ alpha ]==> (((a a)((^x.x)(^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. ------ 49358/3519660. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.a)(^c.(^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. ------ 49359/3519750. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((a a) a)((^z.z) a))) 3. ==[ beta ]==> (((^y.y) b)(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> (((^x.x) b)(((a a) a)((^y.y) a))) 5. ==[ beta ]==> (b (((a a) a)((^y.y) a))) 6. ==[ alpha ]==> (b (((a a) a)((^x.x) a))) 7. ==[ beta ]==> (b (((a a) a) a)) REDUCED to normal form. ------ 49360/3519777. ------ 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)((^y.y)(a (a a)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.x)(a (a a)))) 5. ==[ beta ]==> ((((a a) a) a)(a (a a))) REDUCED to normal form. ------ 49361/3519831. ------ 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)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a ((a a) a))) REDUCED to normal form. ------ 49362/3519858. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a (^z.z))(a b))) 3. ==[ beta ]==> ((a (^y.(y y)))((a (^z.z))(a b))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))(a b))) REDUCED to normal form. ------ 49363/3519876. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(b (^z.(a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(b (^z.(a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b (^z.(a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))(b (^z.(a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(b (^y.(a a)))) 7. ==[ beta ]==> ((a a)(b (^y.(a a)))) 8. ==[ alpha ]==> ((a a)(b (^x.(a a)))) REDUCED to normal form. ------ 49364/3519885. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.a))((a a)(a a))) REDUCED to normal form. ------ 49365/3519957. ------ 1. ==[ start ]==> ((a (^a.b))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 49366/3519975. ------ 1. ==[ start ]==> (((a a)((a a) a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a a)((a a) a))(((a a) a)(^x.a))) REDUCED to normal form. ------ 49367/3520002. ------ 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))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)(^y1.(y1 y1)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.(x1 x1)))) 7. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(x1 x1))) 8. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(z z))) REDUCED to normal form. ------ 49368/3520029. ------ 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. ------ 49369/3520083. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a (^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.z))(^x1.b))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.z))(^x1.b))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 49370/3520110. ------ 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. ------ 49371/3520137. ------ 1. ==[ start ]==> ((a (a b))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((a (a b))(((^x.x)(a a)) a)) 3. ==[ beta ]==> ((a (a b))((a a) a)) REDUCED to normal form. ------ 49372/3520146. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.b)((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> ((^x.b)((^y.(a a))(^z.z))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 49373/3520227. ------ 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))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(^y1.(y1 y1)))) IRREDUCIBLE: cycle. ------ 49374/3520290. ------ 1. ==[ start ]==> ((((a a) a) b)(c ((a a) a))) REDUCED to normal form. ------ 49375/3520308. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(^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. ------ 49376/3520317. ------ 1. ==[ start ]==> (((a b) a)(b (a b))) REDUCED to normal form. ------ 49377/3520335. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.a)(^b.(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. ------ 49378/3520344. ------ 1. ==[ start ]==> (((a a)(^a.b))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(a ((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(^x.b))(a (a a))) REDUCED to normal form. ------ 49379/3520398. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a) a)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a) a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)(a (^z.z)))) REDUCED to normal form. ------ 49380/3520425. ------ 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) a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y)((^z.z) a))) 5. ==[ beta ]==> (((a (a a))(^x.(x x)))((^z.z) a)) 6. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y) a)) 7. ==[ beta ]==> (((a (a a))(^x.(x x))) a) REDUCED to normal form. ------ 49381/3520452. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a (a a))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a (a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a (a a))(a (a a)))) 5. ==[ beta ]==> ((^y.a)((a (a a))(a (a a)))) 6. ==[ alpha ]==> ((^x.a)((a (a a))(a (a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 49382/3520479. ------ 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)(^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. ------ 49383/3520497. ------ 1. ==[ start ]==> (((^a.b)(a a))(c (^c.a))) 2. ==[ alpha ]==> (((^x.b)(a a))(c (^y.a))) 3. ==[ beta ]==> (b (c (^y.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 49384/3520506. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 49385/3520524. ------ 1. ==[ start ]==> ((a (^b.(a a)))(b (^a.b))) 2. ==[ alpha ]==> ((a (^x.(a a)))(b (^y.b))) REDUCED to normal form. ------ 49386/3520569. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a b)(^y.y))) REDUCED to normal form. ------ 49387/3520596. ------ 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)(^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. ------ 49388/3520623. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(^y.y))(^z.a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)(^z.a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)(^y.a))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^y.a)) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.a)) REDUCED to normal form. ------ 49389/3520650. ------ 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. ------ 49390/3520677. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 49391/3520704. ------ 1. ==[ start ]==> (((a b)(a a))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b)(a a))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 49392/3520731. ------ 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. ------ 49393/3520740. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)(a b))) 3. ==[ beta ]==> ((^y.(a a))((^z.z)(a b))) 4. ==[ alpha ]==> ((^x.(a a))((^y.y)(a b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 49394/3520767. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.z))) 5. ==[ beta ]==> ((^y.b)(^z.z)) 6. ==[ alpha ]==> ((^x.b)(^y.y)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 49395/3520821. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.(^a.a))(^b.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. ------ 49396/3520902. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 49397/3520911. ------ 1. ==[ start ]==> (((a b) b)(b ((a a) a))) REDUCED to normal form. ------ 49398/3520938. ------ 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. ------ 49399/3520965. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((a a) a)(a a))) REDUCED to normal form. ------ 49400/3520992. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.b))(a (^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.b))(a (^z.z))) REDUCED to normal form. ------ 49401/3521046. ------ 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. ------ 49402/3521073. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(y y))((a (^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))((a (^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a (^y.y))((^z.z)(^x1.x1)))((a (^y.y))((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 9. ==[ beta ]==> (((a (^x.x))(^z.z))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 10. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 11. ==[ beta ]==> (((a (^x.x))(^y.y))((a (^z.z))(^y1.y1))) 12. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 49403/3521100. ------ 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. ------ 49404/3521118. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(a (^a.b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(a (^z.b))) 3. ==[ beta ]==> (b (a (^z.b))) 4. ==[ alpha ]==> (b (a (^x.b))) REDUCED to normal form. ------ 49405/3521190. ------ 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))) 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. ------ 49406/3521217. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(a (^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x))(a b))(a (^y.(y y)))) REDUCED to normal form. ------ 49407/3521244. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a) a))((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a) a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 49408/3521298. ------ 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. ------ 49409/3521325. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y)(^z.z)) b)) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(^y.y)) b)) 5. ==[ beta ]==> ((((a a) a) a)((^y.y) b)) 6. ==[ alpha ]==> ((((a a) a) a)((^x.x) b)) 7. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 49410/3521352. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (a a)) c)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (a a)) c)) REDUCED to normal form. ------ 49411/3521442. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.a))) 5. ==[ beta ]==> ((^y.y)(^z.a)) 6. ==[ alpha ]==> ((^x.x)(^y.a)) 7. ==[ beta ]==> (^y.a) 8. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 49412/3521577. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 49413/3521586. ------ 1. ==[ start ]==> (((a b) c)((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((a a)((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a b) c)((a a)(^y.y))) 4. ==[ alpha ]==> (((a b) c)((a a)(^x.x))) REDUCED to normal form. ------ 49414/3521658. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^x.x))((a (^z.z))(a (^z.z)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 49415/3521685. ------ 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)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((^y.a)((^z.z) a)) 6. ==[ alpha ]==> ((^x.a)((^y.y) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 49416/3521694. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(c d)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(c d)) REDUCED to normal form. ------ 49417/3521739. ------ 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)(^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. ------ 49418/3521820. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.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. ------ 49419/3521829. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 49420/3521856. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(b (a (a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(b (a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (a (a a)))) REDUCED to normal form. ------ 49421/3521883. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a (^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (^z.z))) REDUCED to normal form. ------ 49422/3521919. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(y y)) b)) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(b b)) REDUCED to normal form. ------ 49423/3521946. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.a) c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.a) c)) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.a) c)) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a) c)) 5. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 49424/3522027. ------ 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. ------ 49425/3522054. ------ 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. ------ 49426/3522081. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a (^y.y))(^z.a))) 3. ==[ beta ]==> (((a b) a)((a (^y.y))(^z.a))) 4. ==[ alpha ]==> (((a b) a)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 49427/3522108. ------ 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. ------ 49428/3522135. ------ 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. ------ 49429/3522162. ------ 1. ==[ start ]==> ((a (b a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((a (b a))(((^x.x) a) b)) 3. ==[ beta ]==> ((a (b a))(a b)) REDUCED to normal form. ------ 49430/3522333. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(a (^z.(z z)))) 3. ==[ beta ]==> (b (a (^z.(z z)))) 4. ==[ alpha ]==> (b (a (^x.(x x)))) REDUCED to normal form. ------ 49431/3522396. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(b c)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(b c)) REDUCED to normal form. ------ 49432/3522441. ------ 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. ------ 49433/3522468. ------ 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))(^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. ------ 49434/3522504. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(a ((^z.z) a))) 3. ==[ beta ]==> ((a (^y.(a a)))(a ((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(a ((^y.y) a))) 5. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 49435/3522522. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(c (^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(c (^y.y))) 3. ==[ beta ]==> (((a b)(a b))(c (^y.y))) 4. ==[ alpha ]==> (((a b)(a b))(c (^x.x))) REDUCED to normal form. ------ 49436/3522531. ------ 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. ------ 49437/3522585. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(c a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(c a)) REDUCED to normal form. ------ 49438/3522603. ------ 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. ------ 49439/3522612. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(b b)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(b b)) REDUCED to normal form. ------ 49440/3522639. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(a c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(a c)) 3. ==[ beta ]==> (((a a)(^y.a))(a c)) 4. ==[ alpha ]==> (((a a)(^x.a))(a c)) REDUCED to normal form. ------ 49441/3522666. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(b (a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(b (a a))) REDUCED to normal form. ------ 49442/3522711. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(b (^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b (^x1.x1))) REDUCED to normal form. ------ 49443/3522729. ------ 1. ==[ start ]==> (((a a)(b a))((^a.a) b)) 2. ==[ alpha ]==> (((a a)(b a))((^x.x) b)) 3. ==[ beta ]==> (((a a)(b a)) b) REDUCED to normal form. ------ 49444/3522756. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 49445/3522783. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a a) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a a) a)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a a) a)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a a) a)) 5. ==[ beta ]==> ((a (a a))((a a) a)) REDUCED to normal form. ------ 49446/3522810. ------ 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. ------ 49447/3522836. ------ 1. ==[ start ]==> (^a.(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (^x.(((^y.y)(^z.z))((x x) x))) 3. ==[ beta ]==> (^x.((^z.z)((x x) x))) 4. ==[ alpha ]==> (^x.((^y.y)((x x) x))) 5. ==[ beta ]==> (^x.((x x) x)) REDUCED to normal form. ------ 49448/3522837. ------ 1. ==[ start ]==> (a (((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (a (((^x.x)(^y.y))((a a) a))) 3. ==[ beta ]==> (a ((^y.y)((a a) a))) 4. ==[ alpha ]==> (a ((^x.x)((a a) a))) 5. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 49449/3527433. ------ 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. ------ 49450/3527439. ------ 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. ------ 49451/3527466. ------ 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. ------ 49452/3527493. ------ 1. ==[ start ]==> ((^a.b)(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.b)(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 49453/3527568. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 49454/3527691. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a) a)(^b.(^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. ------ 49455/3527838. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^b.(b a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.(y a))) 3. ==[ beta ]==> ((a a)(^y.(y a))) 4. ==[ alpha ]==> ((a a)(^x.(x a))) REDUCED to normal form. ------ 49456/3528621. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 49457/3529149. ------ 1. ==[ start ]==> ((^a.(^a.b))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 49458/3529323. ------ 1. ==[ start ]==> (((^a.b) a)(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 49459/3529539. ------ 1. ==[ start ]==> (((a a)(^a.b))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.(a a)))) REDUCED to normal form. ------ 49460/3529737. ------ 1. ==[ start ]==> (((a a)(a b))(^c.(a b))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(a b))) REDUCED to normal form. ------ 49461/3529935. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.b))) 3. ==[ beta ]==> ((^y.(a a))(^z.(^x1.b))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(^z.b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 49462/3530133. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.(^z.y))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.y))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.x))) REDUCED to normal form. ------ 49463/3530322. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.b))) REDUCED to normal form. ------ 49464/3530781. ------ 1. ==[ start ]==> (((a b) c)(^d.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 49465/3530808. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^a.(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.(^z.y))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.y))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.x))) REDUCED to normal form. ------ 49466/3531078. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 49467/3531699. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(^x1.a))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.a))) REDUCED to normal form. ------ 49468/3531780. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 49469/3531834. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(a (^z.z)))) REDUCED to normal form. ------ 49470/3531903. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(^z1.z1)) a)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 49471/3531924. ------ 1. ==[ start ]==> (((a a)(b a))(^c.(a a))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(a a))) REDUCED to normal form. ------ 49472/3531978. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^a.b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.b)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.b)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.b)) 5. ==[ beta ]==> ((a (a a))(^y.b)) 6. ==[ alpha ]==> ((a (a a))(^x.b)) REDUCED to normal form. ------ 49473/3532005. ------ 1. ==[ start ]==> (((a (a a))(a b))(^a.(a a))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(x x))) REDUCED to normal form. ------ 49474/3532032. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((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. ------ 49475/3532044. ------ 1. ==[ start ]==> ((a a)(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))((a a) a))) 3. ==[ beta ]==> ((a a)((^y.y)((a a) a))) 4. ==[ alpha ]==> ((a a)((^x.x)((a a) a))) 5. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 49476/3532071. ------ 1. ==[ start ]==> ((a (a a))((a (a a))(a b))) REDUCED to normal form. ------ 49477/3532098. ------ 1. ==[ start ]==> ((a b)(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a b)(((^x.x) 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. ------ 49478/3532152. ------ 1. ==[ start ]==> (((a a)(a a))((a a)(b a))) REDUCED to normal form. ------ 49479/3532170. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 49480/3532188. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b a)(^x1.x1))) 3. ==[ beta ]==> ((^y.(^z.z))((b a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))((b a)(^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 49481/3532215. ------ 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.(^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. ------ 49482/3532242. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> ((a (^x.x))((a a)(^z.a))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 49483/3532251. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 49484/3532269. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 49485/3532278. ------ 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. ------ 49486/3532296. ------ 1. ==[ start ]==> ((a (^b.a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 49487/3532332. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.(^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. ------ 49488/3532377. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.a)(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.a)(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 49489/3532413. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 49490/3532440. ------ 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. ------ 49491/3532458. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((b a) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y) 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. ------ 49492/3532485. ------ 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) REDUCED to normal form. ------ 49493/3532521. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.(a a))(^b.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. ------ 49494/3532629. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(y y))(^z.b))) 3. ==[ beta ]==> ((a a)((^y.(y y))(^z.b))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(^y.b))) 5. ==[ beta ]==> ((a a)((^y.b)(^y.b))) 6. ==[ alpha ]==> ((a a)((^x.b)(^y.b))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 49495/3532782. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(a a)) c)) 3. ==[ beta ]==> ((^y.y)((^x1.(a a)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) c)) 5. ==[ beta ]==> ((^y.(a a)) c) 6. ==[ alpha ]==> ((^x.(a a)) c) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 49496/3532881. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a (a a))((a a) a))) REDUCED to normal form. ------ 49497/3532908. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z) a)(a b))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z) a)(a b))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) a)(a b))) 5. ==[ beta ]==> (((a (^x.x)) a)(a (a b))) REDUCED to normal form. ------ 49498/3532935. ------ 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. ------ 49499/3532953. ------ 1. ==[ start ]==> (((^a.(a a)) b)(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 49500/3532962. ------ 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. ------ 49501/3532998. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 49502/3533025. ------ 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.(^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. ------ 49503/3533079. ------ 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.(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. ------ 49504/3533088. ------ 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. ------ 49505/3533115. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (a ((^y.(^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 49506/3533142. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 49507/3533160. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^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. ------ 49508/3533169. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.a)(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 49509/3533196. ------ 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.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. ------ 49510/3533223. ------ 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. ------ 49511/3533511. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(a a)) b)) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(a a)) b)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(a a)) b)) 5. ==[ beta ]==> (a ((^z.(a a)) b)) 6. ==[ alpha ]==> (a ((^x.(a a)) b)) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 49512/3533682. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(b (^y.(a a)))) REDUCED to normal form. ------ 49513/3533736. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(a a))(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form. ------ 49514/3533754. ------ 1. ==[ start ]==> ((a (^a.b))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 49515/3533925. ------ 1. ==[ start ]==> (((^a.b) a)((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 49516/3533943. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(a a)) a)) 3. ==[ beta ]==> ((^y.b)(((^z.z)(a a)) a)) 4. ==[ alpha ]==> ((^x.b)(((^y.y)(a a)) a)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 49517/3534087. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.a)(^y.a))) 3. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 49518/3534114. ------ 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. ------ 49519/3534141. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.(a a))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(a a))) REDUCED to normal form. ------ 49520/3534159. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(a a)) a)) 3. ==[ beta ]==> ((^y.y)((^z.(a a)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) a)) 5. ==[ beta ]==> ((^y.(a a)) a) 6. ==[ alpha ]==> ((^x.(a a)) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 49521/3534303. ------ 1. ==[ start ]==> (((a b)(^a.a))(c (^c.a))) 2. ==[ alpha ]==> (((a b)(^x.x))(c (^y.a))) REDUCED to normal form. ------ 49522/3534339. ------ 1. ==[ start ]==> (((a a)(a b))((a a)(a b))) REDUCED to normal form. ------ 49523/3534492. ------ 1. ==[ start ]==> (((^a.b) b)((^b.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. ------ 49524/3534537. ------ 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 a) REDUCED to normal form. ------ 49525/3534564. ------ 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. ------ 49526/3534618. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(^y1.y1)) c)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(^y1.y1)) c)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1)) c)) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1)) c)) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z)) c)) 7. ==[ beta ]==> (((^y.y)(^z.z)) c) 8. ==[ alpha ]==> (((^x.x)(^y.y)) c) 9. ==[ beta ]==> ((^y.y) c) 10. ==[ alpha ]==> ((^x.x) c) 11. ==[ beta ]==> c REDUCED to normal form. ------ 49527/3534708. ------ 1. ==[ start ]==> (((a b) b)((^a.(^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. ------ 49528/3534735. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.y)(^z.b))) 3. ==[ beta ]==> (((a a) a)((^y.y)(^z.b))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(^y.b))) 5. ==[ beta ]==> (((a a) a)(^y.b)) 6. ==[ alpha ]==> (((a a) a)(^x.b)) REDUCED to normal form. ------ 49529/3534753. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.b) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.b) a)) 3. ==[ beta ]==> (((^y.y)(a a))((^z.b) a)) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.b) a)) 5. ==[ beta ]==> ((a a)((^y.b) a)) 6. ==[ alpha ]==> ((a a)((^x.b) a)) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 49530/3534780. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^c.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 49531/3534897. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(b (^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(b (^y.a))) REDUCED to normal form. ------ 49532/3534924. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.b))) REDUCED to normal form. ------ 49533/3535140. ------ 1. ==[ start ]==> (((^a.b) c)((^b.(^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. ------ 49534/3535383. ------ 1. ==[ start ]==> (((a b) c)(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(b (^x.(^y.y)))) REDUCED to normal form. ------ 49535/3535410. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(a (^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(a (^y.a))) 3. ==[ beta ]==> (((a a) b)(a (^y.a))) 4. ==[ alpha ]==> (((a a) b)(a (^x.a))) REDUCED to normal form. ------ 49536/3535437. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 49537/3535455. ------ 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. ------ 49538/3535482. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (((^y.y) a)(^z.a)) 6. ==[ alpha ]==> (((^x.x) a)(^y.a)) 7. ==[ beta ]==> (a (^y.a)) 8. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 49539/3535491. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.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. ------ 49540/3535518. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(^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. ------ 49541/3535536. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a a)(^b.(^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. ------ 49542/3535572. ------ 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))(^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. ------ 49543/3535599. ------ 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))(^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. ------ 49544/3535617. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 49545/3535626. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 49546/3535653. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))(^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. ------ 49547/3535680. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 49548/3535716. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a (a a))(a a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a (a a))(a a))) REDUCED to normal form. ------ 49549/3535743. ------ 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. ------ 49550/3535770. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 49551/3535797. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a a)(a (a a)))) REDUCED to normal form. ------ 49552/3535878. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(c c)) 2. ==[ alpha ]==> (((a b)((^x.x) a))(c c)) 3. ==[ beta ]==> (((a b) a)(c c)) REDUCED to normal form. ------ 49553/3536049. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(z z)) a)) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(z z)) a)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(z z)) a)) 5. ==[ beta ]==> (b ((^z.(z z)) a)) 6. ==[ alpha ]==> (b ((^x.(x x)) a)) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 49554/3536193. ------ 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)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 49555/3536238. ------ 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. ------ 49556/3536265. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a (^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y)((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. ------ 49557/3536301. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((a (^y.(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. ------ 49558/3536319. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(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)) 5. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 49559/3536328. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(c (^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(c (^y.y))) REDUCED to normal form. ------ 49560/3536382. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 49561/3536400. ------ 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. ------ 49562/3536409. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 49563/3536436. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^x.a))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.a))(a (^y.y))) REDUCED to normal form. ------ 49564/3536463. ------ 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))(^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. ------ 49565/3536508. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 49566/3536526. ------ 1. ==[ start ]==> (((a a)(b a))((a a)(a a))) REDUCED to normal form. ------ 49567/3536553. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(b a)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(b a)) REDUCED to normal form. ------ 49568/3536580. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(a b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(a b)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(a b)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(a b)) 5. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 49569/3536607. ------ 1. ==[ start ]==> (((a (a a))(a b))(a (a a))) REDUCED to normal form. ------ 49570/3536634. ------ 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. ------ 49571/3536781. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^z.(^x1.(^y1.(^z1.z1))))(^y.y)) 4. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.y1)) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 49572/3538536. ------ 1. ==[ start ]==> ((^a.(a b))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x b))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.((^z.z)(a a))) b) 4. ==[ alpha ]==> ((^x.((^y.y)(a a))) b) 5. ==[ beta ]==> ((^y.y)(a a)) 6. ==[ alpha ]==> ((^x.x)(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 49573/3541110. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(y1 (^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 49574/3541239. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a)) b) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a)) b) 3. ==[ beta ]==> (((^y.y)((a a) a)) b) 4. ==[ alpha ]==> (((^x.x)((a a) a)) b) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 49575/3541263. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 49576/3541344. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 49577/3541389. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^z.(^x1.(^y1.y1))))(^y.y)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 49578/3541392. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 49579/3541578. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(z z))(a b))) 3. ==[ eta ]==> ((^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. ------ 49580/3541848. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(y y))(^z.b))) 3. ==[ beta ]==> (((^y.(y y))(^z.b))(((^y.(y y))(^z.b))((^y.(y y))(^z.b)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.(z z))(^x1.b))((^y1.(y1 y1))(^z1.b)))) 5. ==[ beta ]==> (((^y.b)(^y.b))(((^z.(z z))(^x1.b))((^y1.(y1 y1))(^z1.b)))) 6. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.(z z))(^x1.b))((^y1.(y1 y1))(^z1.b)))) 7. ==[ beta ]==> (b (((^z.(z z))(^x1.b))((^y1.(y1 y1))(^z1.b)))) 8. ==[ alpha ]==> (b (((^x.(x x))(^y.b))((^z.(z z))(^x1.b)))) 9. ==[ beta ]==> (b (((^y.b)(^y.b))((^z.(z z))(^x1.b)))) 10. ==[ alpha ]==> (b (((^x.b)(^y.b))((^z.(z z))(^x1.b)))) 11. ==[ beta ]==> (b (b ((^z.(z z))(^x1.b)))) 12. ==[ alpha ]==> (b (b ((^x.(x x))(^y.b)))) 13. ==[ beta ]==> (b (b ((^y.b)(^y.b)))) 14. ==[ alpha ]==> (b (b ((^x.b)(^y.b)))) 15. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 49581/3541941. ------ 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 ]==> (((^y.y)(^y.y)) b) 5. ==[ alpha ]==> (((^x.x)(^y.y)) b) 6. ==[ beta ]==> ((^y.y) b) 7. ==[ alpha ]==> ((^x.x) b) 8. ==[ beta ]==> b REDUCED to normal form. ------ 49582/3542073. ------ 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)(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 49583/3542631. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.a)(^z.b))) 3. ==[ beta ]==> ((((^y.a)(^z.b))((^y.a)(^z.b)))((^y.a)(^z.b))) 4. ==[ alpha ]==> ((((^x.a)(^y.b))((^z.a)(^x1.b)))((^y1.a)(^z1.b))) 5. ==[ beta ]==> ((a ((^z.a)(^x1.b)))((^y1.a)(^z1.b))) 6. ==[ alpha ]==> ((a ((^x.a)(^y.b)))((^z.a)(^x1.b))) 7. ==[ beta ]==> ((a a)((^z.a)(^x1.b))) 8. ==[ alpha ]==> ((a a)((^x.a)(^y.b))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 49584/3543138. ------ 1. ==[ start ]==> (((^a.b) a)(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(^z.(a a)))) 3. ==[ beta ]==> (b (^y.(^z.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 49585/3543144. ------ 1. ==[ start ]==> ((^a.(a b))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.y)((^z.z)(a a)))) 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. ------ 49586/3543147. ------ 1. ==[ start ]==> ((a (a b))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a b))(^x.((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a b))(^x.(a a))) REDUCED to normal form. ------ 49587/3543372. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(z z)))) 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. ------ 49588/3543531. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (^z.z))((a a) a))) 3. ==[ beta ]==> (^y.(((a (^z.z))((a a) a))((a (^z.z))((a a) a)))) 4. ==[ alpha ]==> (^x.(((a (^y.y))((a a) a))((a (^z.z))((a a) a)))) REDUCED to normal form. ------ 49589/3543579. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(^z.(y y)))) REDUCED to normal form. ------ 49590/3543738. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(^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. ------ 49591/3543966. ------ 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))) REDUCED to normal form. ------ 49592/3544128. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^c.((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.((a a) a))) 3. ==[ beta ]==> (b (^z.((a a) a))) 4. ==[ alpha ]==> (b (^x.((a a) a))) REDUCED to normal form. ------ 49593/3544308. ------ 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. ------ 49594/3544413. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((^z.a)(^x1.(x1 x1)))((^z.a)(^x1.(x1 x1))))(^y.y)) 4. ==[ alpha ]==> ((((^x.a)(^y.(y y)))((^z.a)(^x1.(x1 x1))))(^y1.y1)) 5. ==[ beta ]==> ((a ((^z.a)(^x1.(x1 x1))))(^y1.y1)) 6. ==[ alpha ]==> ((a ((^x.a)(^y.(y y))))(^z.z)) 7. ==[ beta ]==> ((a a)(^z.z)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 49595/3545037. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(^a.(^b.(^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. ------ 49596/3545145. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(a (a a)))) REDUCED to normal form. ------ 49597/3545169. ------ 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))) 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. ------ 49598/3545262. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(z (z z)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(z (z z)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(z (z z)))) 5. ==[ beta ]==> (b (^z.(z (z z)))) 6. ==[ alpha ]==> (b (^x.(x (x x)))) REDUCED to normal form. ------ 49599/3545343. ------ 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 (^x.a)) REDUCED to normal form. ------ 49600/3545514. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^c.c)) 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. ------ 49601/3545532. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.((^z.z) y))) 3. ==[ eta ]==> (((^x.(x x))(a b))(^z.z)) 4. ==[ alpha ]==> (((^x.(x x))(a b))(^y.y)) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 49602/3545595. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^b.c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.c)) REDUCED to normal form. ------ 49603/3545649. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^c.(^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)))) REDUCED to normal form. ------ 49604/3545718. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(a (a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(a (a (^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 49605/3545721. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(x1 (^y1.y1)))) REDUCED to normal form. ------ 49606/3545766. ------ 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. ------ 49607/3545793. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.(a a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.(a a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(a a))) 5. ==[ beta ]==> ((a (a a))(^y.(a a))) 6. ==[ alpha ]==> ((a (a a))(^x.(a a))) REDUCED to normal form. ------ 49608/3545820. ------ 1. ==[ start ]==> (((a (a a))(a b))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(^y.y))) REDUCED to normal form. ------ 49609/3545847. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((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. ------ 49610/3545877. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> ((a (^x.x))((^z.z)((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)((a a) a))) 5. ==[ beta ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 49611/3545904. ------ 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. ------ 49612/3545931. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a a)(((^y.y) a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a a)(((^x.x) 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. ------ 49613/3545958. ------ 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. ------ 49614/3546003. ------ 1. ==[ start ]==> ((a (a (^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 49615/3546021. ------ 1. ==[ start ]==> (((a a) b)((b a)(^a.a))) 2. ==[ alpha ]==> (((a a) b)((b a)(^x.x))) REDUCED to normal form. ------ 49616/3546048. ------ 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. ------ 49617/3546075. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 49618/3546102. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b)(^z.(z z)))) REDUCED to normal form. ------ 49619/3546156. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 49620/3546165. ------ 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 (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 49621/3546192. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))(a b))) 3. ==[ beta ]==> ((a a)((^y.(y y))(a b))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(a b))) 5. ==[ beta ]==> ((a a)((a b)(a b))) REDUCED to normal form. ------ 49622/3546237. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 49623/3546291. ------ 1. ==[ start ]==> (((a a)(^b.a))((b a) a)) 2. ==[ alpha ]==> (((a a)(^x.a))((b a) a)) REDUCED to normal form. ------ 49624/3546318. ------ 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)) REDUCED to normal form. ------ 49625/3546381. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 49626/3546435. ------ 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. ------ 49627/3546462. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(x x))(^y.b))) 3. ==[ beta ]==> ((a (a (a a)))((^y.b)(^y.b))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.b)(^y.b))) 5. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 49628/3546498. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 49629/3546552. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(a (b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(a (b a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(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. ------ 49630/3546579. ------ 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. ------ 49631/3546606. ------ 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. ------ 49632/3546615. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(a a)) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 49633/3546660. ------ 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. ------ 49634/3546687. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^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. ------ 49635/3546786. ------ 1. ==[ start ]==> (((a (a a))(a a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 49636/3546912. ------ 1. ==[ start ]==> (((a (a a)) b)(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 49637/3546939. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a (((^y.y)(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (a ((^y.y)(^z.(^x1.x1)))) 8. ==[ alpha ]==> (a ((^x.x)(^y.(^z.z)))) 9. ==[ beta ]==> (a (^y.(^z.z))) 10. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 49638/3546966. ------ 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. ------ 49639/3546993. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a (^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a (^z.b))) REDUCED to normal form. ------ 49640/3547020. ------ 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)))) REDUCED to normal form. ------ 49641/3547074. ------ 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) REDUCED to normal form. ------ 49642/3547110. ------ 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)(^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. ------ 49643/3547137. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.b)(^b.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. ------ 49644/3547191. ------ 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. ------ 49645/3547245. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.a)(^y.b))) 3. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 49646/3547281. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b ((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)(b ((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y)(a a)))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 49647/3547335. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z)(a a))(a a))) 5. ==[ beta ]==> (a (((^z.z)(a a))(a a))) 6. ==[ alpha ]==> (a (((^x.x)(a a))(a a))) 7. ==[ beta ]==> (a ((a a)(a a))) REDUCED to normal form. ------ 49648/3547371. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.b) c)) 3. ==[ beta ]==> (((^y.y) b)((^z.b) c)) 4. ==[ alpha ]==> (((^x.x) b)((^y.b) c)) 5. ==[ beta ]==> (b ((^y.b) c)) 6. ==[ alpha ]==> (b ((^x.b) c)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 49649/3547416. ------ 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. ------ 49650/3547443. ------ 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. ------ 49651/3547497. ------ 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)((^y.y) a))((a (^z.z))(a b))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.z))(a b))) 5. ==[ beta ]==> ((a ((^y.y) a))((a (^z.z))(a b))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))(a b))) 7. ==[ beta ]==> ((a a)((a (^y.y))(a b))) 8. ==[ alpha ]==> ((a a)((a (^x.x))(a b))) REDUCED to normal form. ------ 49652/3547560. ------ 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. ------ 49653/3547596. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.b)(a (^y.y)))) 3. ==[ beta ]==> (((a a)((a a) a)) b) REDUCED to normal form. ------ 49654/3547650. ------ 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. ------ 49655/3547677. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (a a)) a)(((^y.y)(^z.z))((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a (a a)) a)((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (((a (a a)) a)((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> (((a (a a)) a)((^y.y)(^z.z))) 10. ==[ alpha ]==> (((a (a a)) a)((^x.x)(^y.y))) 11. ==[ beta ]==> (((a (a a)) a)(^y.y)) 12. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 49656/3547704. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.a)((a a) a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)((a a) a))) 5. ==[ beta ]==> ((a (^y.y))((^z.a)((a a) a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)((a a) a))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 49657/3547731. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))(a b))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 49658/3547749. ------ 1. ==[ start ]==> (((^a.b) a)((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)((a a)(^y.(a a)))) 3. ==[ beta ]==> (b ((a a)(^y.(a a)))) 4. ==[ alpha ]==> (b ((a a)(^x.(a a)))) REDUCED to normal form. ------ 49659/3547758. ------ 1. ==[ start ]==> ((a (a b))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a b))((^x.x)((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a b))((^y.y)(a a))) 4. ==[ alpha ]==> ((a (a b))((^x.x)(a a))) 5. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 49660/3547929. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(c ((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(c ((a a) a))) 3. ==[ beta ]==> (b (c ((a a) a))) REDUCED to normal form. ------ 49661/3547956. ------ 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. ------ 49662/3547983. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(a ((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)(a ((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y)(a a)))) 5. ==[ beta ]==> (a ((^y.y)(a a))) 6. ==[ alpha ]==> (a ((^x.x)(a a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 49663/3548019. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.b) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.b) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b) b)) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 49664/3548037. ------ 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. ------ 49665/3548118. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (((^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. ------ 49666/3548145. ------ 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. ------ 49667/3548163. ------ 1. ==[ start ]==> (((a a)(a b))(b (^a.b))) 2. ==[ alpha ]==> (((a a)(a b))(b (^x.b))) REDUCED to normal form. ------ 49668/3548190. ------ 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. ------ 49669/3548217. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.b)(a a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.b)(a a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.b)(a a))) 5. ==[ beta ]==> ((a (^y.y))((^z.b)(a a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.b)(a a))) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 49670/3548271. ------ 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))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> (a ((^y.(^z.z))((^x1.x1) a))) 8. ==[ alpha ]==> (a ((^x.(^y.y))((^z.z) a))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 49671/3548298. ------ 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. ------ 49672/3548316. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 49673/3548325. ------ 1. ==[ start ]==> (((a b)(a a))((^b.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. ------ 49674/3548352. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 49675/3548523. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 49676/3548577. ------ 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. ------ 49677/3548586. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.b) a)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.b) a)) 3. ==[ beta ]==> (((a a)(^x.(a a))) b) REDUCED to normal form. ------ 49678/3548604. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((a a) a)(a a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a a))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 49679/3548613. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^c.a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 49680/3548658. ------ 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) a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a (a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (a a))((^y1.y1) a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (a a))((^y1.y1) a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (a a))((^x1.x1) a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))((^x1.x1) a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))((^z.z) a))) 9. ==[ beta ]==> ((^y.y)((a (a a))((^z.z) a))) 10. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y) a))) 11. ==[ beta ]==> ((a (a a))((^y.y) a)) 12. ==[ alpha ]==> ((a (a a))((^x.x) a)) 13. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 49681/3548739. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a a)((a a) a))) 3. ==[ beta ]==> (b ((a a)((a a) a))) REDUCED to normal form. ------ 49682/3548775. ------ 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. ------ 49683/3548811. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 49684/3548838. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a b))(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(a b))(a ((^z.z) a))) 6. ==[ alpha ]==> (((a (^x.x))(a b))(a ((^y.y) a))) 7. ==[ beta ]==> (((a (^x.x))(a b))(a a)) REDUCED to normal form. ------ 49685/3548865. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.a)(a (a a)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.a)(a (a a)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.a)(a (a a)))) 5. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 49686/3548892. ------ 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. ------ 49687/3548919. ------ 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. ------ 49688/3548964. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b) c)(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (b (((^y.y)(^z.z)) b)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) b)) 5. ==[ beta ]==> (b ((^y.y) b)) 6. ==[ alpha ]==> (b ((^x.x) b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 49689/3548973. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.(^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. ------ 49690/3549000. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))(^z.a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.a))) 5. ==[ beta ]==> (((a a)(a a))((^y.a)(^y.a))) 6. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.a))) 7. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 49691/3549027. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 49692/3549063. ------ 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)(b ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((^y.y)(^z.z))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 49693/3549198. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> (b ((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> (b ((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 49694/3549261. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(^z.z))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 49695/3549315. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a) a)(^b.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. ------ 49696/3549342. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.b))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.b))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 49697/3549396. ------ 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)(^z1.z1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1)) a)) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1)) a)) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1)) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 49698/3549423. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a (a a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a (a a)) b)) REDUCED to normal form. ------ 49699/3549450. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 49700/3549594. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(c (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(c (^y.a))) 3. ==[ beta ]==> ((a (a b))(c (^y.a))) 4. ==[ alpha ]==> ((a (a b))(c (^x.a))) REDUCED to normal form. ------ 49701/3549621. ------ 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. ------ 49702/3549648. ------ 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 (^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. ------ 49703/3549675. ------ 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. ------ 49704/3549702. ------ 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) REDUCED to normal form. ------ 49705/3549729. ------ 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. ------ 49706/3549756. ------ 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. ------ 49707/3549783. ------ 1. ==[ start ]==> ((a (b a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((a (b a))((^x.(x x))(^y.y))) 3. ==[ beta ]==> ((a (b a))((^y.y)(^y.y))) 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. ------ 49708/3549873. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(a (a (a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(a (a (a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(a (a (a a)))) 5. ==[ beta ]==> (b (a (a (a a)))) REDUCED to normal form. ------ 49709/3549954. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((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. ------ 49710/3550017. ------ 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)))) REDUCED to normal form. ------ 49711/3550125. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a a) c)) 3. ==[ beta ]==> ((a (^y.(a a)))((a a) c)) 4. ==[ alpha ]==> ((a (^x.(a a)))((a a) c)) REDUCED to normal form. ------ 49712/3550143. ------ 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 b)(a b))(a ((^y.y) a))) 4. ==[ alpha ]==> (((a b)(a b))(a ((^x.x) a))) 5. ==[ beta ]==> (((a b)(a b))(a a)) REDUCED to normal form. ------ 49713/3550152. ------ 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. ------ 49714/3550206. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.a) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z) c)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) c) REDUCED to normal form. ------ 49715/3550224. ------ 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. ------ 49716/3550233. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 49717/3550260. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.a))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 49718/3550287. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.x1)) a)) REDUCED to normal form. ------ 49719/3550332. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(a (a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (a (^x1.x1)))) REDUCED to normal form. ------ 49720/3550350. ------ 1. ==[ start ]==> (((a a)(b a))(b (^a.a))) 2. ==[ alpha ]==> (((a a)(b a))(b (^x.x))) REDUCED to normal form. ------ 49721/3550377. ------ 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. ------ 49722/3550404. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.z)(a a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.z)(a a))) 4. ==[ alpha ]==> ((a ((^x.x)(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. ------ 49723/3550431. ------ 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. ------ 49724/3550458. ------ 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. ------ 49725/3552369. ------ 1. ==[ start ]==> ((^a.(a b))(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(^z.(a a)))) 3. ==[ beta ]==> ((^y.(^z.(a a))) b) 4. ==[ alpha ]==> ((^x.(^y.(a a))) b) 5. ==[ beta ]==> (^y.(a a)) 6. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 49726/3554943. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 49727/3555243. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 49728/3555348. ------ 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. ------ 49729/3555420. ------ 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. ------ 49730/3555513. ------ 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))) REDUCED to normal form. ------ 49731/3555591. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(a a))(^b.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. ------ 49732/3555792. ------ 1. ==[ start ]==> (((a (a a)) a)(^a.(b a))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.(b x))) 3. ==[ eta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 49733/3556806. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(a a))(a a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 49734/3556986. ------ 1. ==[ start ]==> ((^a.(a b))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))((a a)(^y.(a a)))) 3. ==[ beta ]==> (((a a)(^y.(a a))) b) 4. ==[ alpha ]==> (((a a)(^x.(a a))) b) REDUCED to normal form. ------ 49735/3556989. ------ 1. ==[ start ]==> ((a (a b))(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((a (a b))(^x.(^y.(a a)))) REDUCED to normal form. ------ 49736/3556998. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.b)(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.b)(^y.((^z.z)(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 49737/3557214. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(a a)))) 5. ==[ beta ]==> (^y.(^z.(a a))) 6. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 49738/3557373. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(c (^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(c (^z.a))) 3. ==[ beta ]==> (^y.((c (^z.a))(c (^z.a)))) 4. ==[ alpha ]==> (^x.((c (^y.a))(c (^z.a)))) REDUCED to normal form. ------ 49739/3557619. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.(a x1))) 3. ==[ eta ]==> (((^x.(^y.y))(^z.b)) a) 4. ==[ beta ]==> ((^y.y) a) 5. ==[ alpha ]==> ((^x.x) a) 6. ==[ beta ]==> a REDUCED to normal form. ------ 49740/3557808. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.(^x1.z))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.z))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.y))) 5. ==[ beta ]==> ((a a)(^y.(^z.y))) 6. ==[ alpha ]==> ((a a)(^x.(^y.x))) REDUCED to normal form. ------ 49741/3557817. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^a.(a b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(y b))) REDUCED to normal form. ------ 49742/3557979. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^c.((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.((a a) a))) REDUCED to normal form. ------ 49743/3558465. ------ 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)(^x.(^z.z))) 6. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 49744/3559011. ------ 1. ==[ start ]==> ((^a.(b a))((a (a a)) a)) 2. ==[ alpha ]==> ((^x.(b x))((a (a a)) a)) 3. ==[ eta ]==> (b ((a (a a)) a)) REDUCED to normal form. ------ 49745/3559104. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (b (^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 49746/3559293. ------ 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. ------ 49747/3559374. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(^z.a))) 3. ==[ beta ]==> (((a b)(a b))(^y.(^z.a))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(^y.a))) REDUCED to normal form. ------ 49748/3559383. ------ 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. ------ 49749/3559437. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 49750/3559455. ------ 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. ------ 49751/3559560. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 49752/3559563. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 49753/3559608. ------ 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. ------ 49754/3559662. ------ 1. ==[ start ]==> (((a (a a))(a b))(^c.a)) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.a)) REDUCED to normal form. ------ 49755/3559689. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((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. ------ 49756/3559737. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> (a (((^y.y)(^z.z))((a a) a))) 4. ==[ alpha ]==> (a (((^x.x)(^y.y))((a a) a))) 5. ==[ beta ]==> (a ((^y.y)((a a) a))) 6. ==[ alpha ]==> (a ((^x.x)((a a) a))) 7. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 49757/3559764. ------ 1. ==[ start ]==> (((a a) a)((a (a a))(a b))) REDUCED to normal form. ------ 49758/3559791. ------ 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))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))(a (a a))) REDUCED to normal form. ------ 49759/3559818. ------ 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)))) REDUCED to normal form. ------ 49760/3559845. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 49761/3559863. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 49762/3559944. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 49763/3559971. ------ 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. ------ 49764/3559989. ------ 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)))) REDUCED to normal form. ------ 49765/3560043. ------ 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. ------ 49766/3560052. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))(a b))) 3. ==[ beta ]==> ((^y.a)((^z.(z z))(a b))) 4. ==[ alpha ]==> ((^x.a)((^y.(y y))(a b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 49767/3560079. ------ 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.z1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.a)((^z1.z1)(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. ------ 49768/3560133. ------ 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. ------ 49769/3560214. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 49770/3560322. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> ((^y.(y y))((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(^z.b))) 5. ==[ beta ]==> (((^y.(y y))(^z.b))((^y.(y y))(^z.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. ------ 49771/3560349. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((^y.a)(^z.(a a))) 6. ==[ alpha ]==> ((^x.a)(^y.(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 49772/3560385. ------ 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. ------ 49773/3560412. ------ 1. ==[ start ]==> (((a (a a)) a)(a (b a))) REDUCED to normal form. ------ 49774/3560439. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 49775/3560466. ------ 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. ------ 49776/3560493. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a b)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a b)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a b) a)) REDUCED to normal form. ------ 49777/3560520. ------ 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. ------ 49778/3560628. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> ((b b)((a (^y.y))((^z.z)(a a)))) 4. ==[ alpha ]==> ((b b)((a (^x.x))((^y.y)(a a)))) 5. ==[ beta ]==> ((b b)((a (^x.x))(a a))) REDUCED to normal form. ------ 49779/3560754. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^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. ------ 49780/3560808. ------ 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)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 49781/3560835. ------ 1. ==[ start ]==> (((^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) 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. ------ 49782/3560889. ------ 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.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. ------ 49783/3560961. ------ 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)(^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. ------ 49784/3560988. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a b) c)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a b) c)) REDUCED to normal form. ------ 49785/3561132. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(^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. ------ 49786/3561222. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a b)(a (^z.z)))) 3. ==[ beta ]==> (((^y.y) b)((a b)(a (^z.z)))) 4. ==[ alpha ]==> (((^x.x) b)((a b)(a (^y.y)))) 5. ==[ beta ]==> (b ((a b)(a (^y.y)))) 6. ==[ alpha ]==> (b ((a b)(a (^x.x)))) REDUCED to normal form. ------ 49787/3561249. ------ 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. ------ 49788/3561303. ------ 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. ------ 49789/3561330. ------ 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)((a a) a))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)((a a) a))) 5. ==[ beta ]==> ((a (^x.(x x)))(a ((a a) a))) REDUCED to normal form. ------ 49790/3561357. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a (^y.y))(a b))) REDUCED to normal form. ------ 49791/3561384. ------ 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.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. ------ 49792/3561429. ------ 1. ==[ start ]==> ((a (^a.b))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(a a))(a a))) 3. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 49793/3561447. ------ 1. ==[ start ]==> (((a a)((a a) a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 49794/3561474. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((a a) a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((a a) a)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a) a)(^z.a))) REDUCED to normal form. ------ 49795/3561501. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a (a (a a)))((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> ((a (a (a a)))((^x.x)(^y.(y y)))) 7. ==[ beta ]==> ((a (a (a a)))(^y.(y y))) 8. ==[ alpha ]==> ((a (a (a a)))(^x.(x x))) REDUCED to normal form. ------ 49796/3561528. ------ 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. ------ 49797/3561582. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a a))((a (^x.x))(^y.b))) REDUCED to normal form. ------ 49798/3561609. ------ 1. ==[ start ]==> ((a (a b))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (a b))((a a)(^x.(a a)))) REDUCED to normal form. ------ 49799/3561618. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.b)((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.b)((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 49800/3561780. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.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. ------ 49801/3561789. ------ 1. ==[ start ]==> (((a b) a)(c ((a a) a))) REDUCED to normal form. ------ 49802/3561807. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(^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. ------ 49803/3561816. ------ 1. ==[ start ]==> (((a a)(^a.b))(b (a b))) 2. ==[ alpha ]==> (((a a)(^x.b))(b (a b))) REDUCED to normal form. ------ 49804/3561834. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(a a)))) 5. ==[ beta ]==> ((^y.y)(^z.(a a))) 6. ==[ alpha ]==> ((^x.x)(^y.(a a))) 7. ==[ beta ]==> (^y.(a a)) 8. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 49805/3561870. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a b)(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a b)(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(a a))) REDUCED to normal form. ------ 49806/3561897. ------ 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. ------ 49807/3561924. ------ 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))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 49808/3561951. ------ 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. ------ 49809/3561978. ------ 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)(^x.x))(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. ------ 49810/3561996. ------ 1. ==[ start ]==> ((a (^b.(a a)))(c (^c.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(c (^y.a))) REDUCED to normal form. ------ 49811/3562068. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a b)(^x1.x1))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a b)(^x1.x1))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a b)(^z.z))) 5. ==[ beta ]==> ((a (^y.y))((a b)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((a b)(^y.y))) REDUCED to normal form. ------ 49812/3562095. ------ 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. ------ 49813/3562122. ------ 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)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))(^x1.a))) 7. ==[ beta ]==> (a (((^y.y)(^z.z))(^x1.a))) 8. ==[ alpha ]==> (a (((^x.x)(^y.y))(^z.a))) 9. ==[ beta ]==> (a ((^y.y)(^z.a))) 10. ==[ alpha ]==> (a ((^x.x)(^y.a))) 11. ==[ beta ]==> (a (^y.a)) 12. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 49814/3562149. ------ 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. ------ 49815/3562176. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x) 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. ------ 49816/3562212. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 49817/3562239. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.x1)(a b))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a b))) 5. ==[ beta ]==> ((^y.y)(a b)) 6. ==[ alpha ]==> ((^x.x)(a b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 49818/3562293. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^c.a)(^a.(^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. ------ 49819/3562374. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 49820/3562383. ------ 1. ==[ start ]==> (((a b) b)(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(c ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a b) b)(c (^y.y))) 4. ==[ alpha ]==> (((a b) b)(c (^x.x))) REDUCED to normal form. ------ 49821/3562410. ------ 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. ------ 49822/3562428. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.z)(^x1.b))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(^z.b))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.b))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.b))) 7. ==[ beta ]==> ((a a)(^y.b)) 8. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 49823/3562437. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(a (a b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(a (a b))) REDUCED to normal form. ------ 49824/3562464. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((a a) a)(a a))) REDUCED to normal form. ------ 49825/3562518. ------ 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. ------ 49826/3562545. ------ 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 (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) a)(a (a a)))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z) a)(a (a a)))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)(a (a a)))) 7. ==[ beta ]==> ((((^y.y) a)(a (a a)))(((^y.y) a)(a (a a)))) 8. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y) a)(a (a a)))) 9. ==[ beta ]==> ((a (a (a a)))(((^y.y) a)(a (a a)))) 10. ==[ alpha ]==> ((a (a (a a)))(((^x.x) a)(a (a a)))) 11. ==[ beta ]==> ((a (a (a a)))(a (a (a a)))) REDUCED to normal form. ------ 49827/3562572. ------ 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 (^y.y))(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 49828/3562590. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(b (^c.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(b (^z.a))) 3. ==[ beta ]==> (b (b (^z.a))) 4. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 49829/3562599. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)((a a) a))) REDUCED to normal form. ------ 49830/3562662. ------ 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.(^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. ------ 49831/3562689. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (a a))(^y.a))) REDUCED to normal form. ------ 49832/3562716. ------ 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.(z z)))) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x) 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. ------ 49833/3562743. ------ 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. ------ 49834/3562797. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((a a) a) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((a a) a) a)) 3. ==[ beta ]==> ((((a a) a) a)(((a a) a) a)) REDUCED to normal form. ------ 49835/3562824. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (((a b)(a (^x.x)))((^z.z) b)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y) b)) 5. ==[ beta ]==> (((a b)(a (^x.x))) b) REDUCED to normal form. ------ 49836/3562914. ------ 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.(^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. ------ 49837/3563049. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 49838/3563058. ------ 1. ==[ start ]==> (((a b) c)((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b) c)((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 49839/3563085. ------ 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)))) 5. ==[ beta ]==> (((a a) b)((a a)(^y.y))) 6. ==[ alpha ]==> (((a a) b)((a a)(^x.x))) REDUCED to normal form. ------ 49840/3563130. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a a))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 49841/3563157. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(a (^y1.y1)))) 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. ------ 49842/3563193. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(c d)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(c d)) 3. ==[ beta ]==> ((a (^y.b))(c d)) 4. ==[ alpha ]==> ((a (^x.b))(c d)) REDUCED to normal form. ------ 49843/3563211. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) 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. ------ 49844/3563292. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(a a))(^a.(^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. ------ 49845/3563355. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(b (a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b (a (a a)))) REDUCED to normal form. ------ 49846/3563391. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(^z.z)) 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. ------ 49847/3563418. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(z z)) b)) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(z z)) b)) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(y y)) b)) 5. ==[ beta ]==> (((a (^x.x))(a a))(b b)) REDUCED to normal form. ------ 49848/3563445. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.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. ------ 49849/3563526. ------ 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. ------ 49850/3563553. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b) a)(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a b) a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> (((a b) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 49851/3563580. ------ 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. ------ 49852/3563607. ------ 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. ------ 49853/3563634. ------ 1. ==[ start ]==> ((a (b a))((a (a a)) a)) REDUCED to normal form. ------ 49854/3563724. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> (b ((^z.z)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(y y)))) 7. ==[ beta ]==> (b (^y.(y y))) 8. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 49855/3563805. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(b (^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(b (^z.a))) 3. ==[ beta ]==> (b (b (^z.a))) 4. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 49856/3563868. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(c b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(c b)) REDUCED to normal form. ------ 49857/3563913. ------ 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. ------ 49858/3563940. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^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. ------ 49859/3563976. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(b (a (^z.z)))) 3. ==[ beta ]==> ((a (^y.(a a)))(b (a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(b (a (^y.y)))) REDUCED to normal form. ------ 49860/3563994. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a b)(a b))((^y.y)(^z.a))) 4. ==[ alpha ]==> (((a b)(a b))((^x.x)(^y.a))) 5. ==[ beta ]==> (((a b)(a b))(^y.a)) 6. ==[ alpha ]==> (((a b)(a b))(^x.a)) REDUCED to normal form. ------ 49861/3564003. ------ 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. ------ 49862/3564057. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)(a (^z.z)))) REDUCED to normal form. ------ 49863/3564075. ------ 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. ------ 49864/3564084. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(c a)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(c a)) REDUCED to normal form. ------ 49865/3564111. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(b b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(b b)) 3. ==[ beta ]==> (((a a)(^y.a))(b b)) 4. ==[ alpha ]==> (((a a)(^x.a))(b b)) REDUCED to normal form. ------ 49866/3564183. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 49867/3564201. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 49868/3564228. ------ 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)(^y.y))) b) REDUCED to normal form. ------ 49869/3564255. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a a)(^z.z))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a a)(^z.z))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a a)(^y.y))) 5. ==[ beta ]==> ((a (a a))((a a)(^y.y))) 6. ==[ alpha ]==> ((a (a a))((a a)(^x.x))) REDUCED to normal form. ------ 49870/3564282. ------ 1. ==[ start ]==> (((a (a a))(a b))((a a) a)) REDUCED to normal form. ------ 49871/3564309. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.z) a)) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.z) a)) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y) a)) 5. ==[ beta ]==> (((a a) a)((^y.y) a)) 6. ==[ alpha ]==> (((a a) a)((^x.x) a)) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 49872/3564335. ------ 1. ==[ start ]==> (^a.(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (^x.(((x x) x)((^y.y)(^z.z)))) 3. ==[ beta ]==> (^x.(((x x) x)(^z.z))) 4. ==[ alpha ]==> (^x.(((x x) x)(^y.y))) REDUCED to normal form. ------ 49873/3564336. ------ 1. ==[ start ]==> (a (((a a) a)((^a.a)(^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. ------ 49874/3568959. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a))) a) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y))) a) 3. ==[ beta ]==> ((((a a) a)(^y.y)) a) 4. ==[ alpha ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 49875/3568965. ------ 1. ==[ start ]==> ((^a.a)(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 49876/3568992. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((a a) a))(((^y.y)(^z.z))((a a) a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((^z.z)(^x1.x1))((a a) a))) 5. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z)(^x1.x1))((a a) a))) 6. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(^z.z))((a a) a))) 7. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))((a a) a))) 8. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))((a a) a))) 9. ==[ beta ]==> (((a a) a)((^y.y)((a a) a))) 10. ==[ alpha ]==> (((a a) a)((^x.x)((a a) a))) 11. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 49877/3569019. ------ 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. ------ 49878/3569100. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a a)(b a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a a)(b a))) 3. ==[ beta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 49879/3569121. ------ 1. ==[ start ]==> (((a a) b)(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) b)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 49880/3569217. ------ 1. ==[ start ]==> ((^a.(^b.a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a b)(^z.(z z)))) 3. ==[ beta ]==> (^y.((a b)(^z.(z z)))) 4. ==[ alpha ]==> (^x.((a b)(^y.(y y)))) REDUCED to normal form. ------ 49881/3569391. ------ 1. ==[ start ]==> (((a a)(^b.a))(^b.(b a))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(y a))) REDUCED to normal form. ------ 49882/3569910. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((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. ------ 49883/3570174. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.((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))) REDUCED to normal form. ------ 49884/3570675. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 49885/3570867. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((^y.b)(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.b)(^y.(^z.(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 49886/3571488. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.(^y1.b))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.b))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.b))) 5. ==[ beta ]==> (^y.(^z.b)) 6. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 49887/3571686. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.y))) REDUCED to normal form. ------ 49888/3571875. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.(^x1.b))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.b))) REDUCED to normal form. ------ 49889/3572496. ------ 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)(^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. ------ 49890/3572640. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 49891/3572973. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^c.d)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.d)) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.d)) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.d)) 5. ==[ beta ]==> (b (^z.d)) 6. ==[ alpha ]==> (b (^x.d)) REDUCED to normal form. ------ 49892/3573162. ------ 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. ------ 49893/3573243. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^c.c)) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.y)) 3. ==[ beta ]==> (((a b)(a b))(^y.y)) 4. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 49894/3573252. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.a))) REDUCED to normal form. ------ 49895/3573324. ------ 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. ------ 49896/3573333. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.y))) REDUCED to normal form. ------ 49897/3573387. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(a (^y1.y1)))) REDUCED to normal form. ------ 49898/3573429. ------ 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. ------ 49899/3573450. ------ 1. ==[ start ]==> (((a a)(b a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(x (^y.y)))) REDUCED to normal form. ------ 49900/3573531. ------ 1. ==[ start ]==> (((a (a a))(a b))(^a.b)) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.b)) REDUCED to normal form. ------ 49901/3573558. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.(z z))) 3. ==[ beta ]==> (((^y.y)((a a) a))(^z.(z z))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(y y))) 5. ==[ beta ]==> (((a a) a)(^y.(y y))) 6. ==[ alpha ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 49902/3573585. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^a.a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^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. ------ 49903/3573597. ------ 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. ------ 49904/3573624. ------ 1. ==[ start ]==> ((a (a a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (a a))(((^x.x)(^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))) 5. ==[ beta ]==> ((a (a a))((a a) a)) REDUCED to normal form. ------ 49905/3573651. ------ 1. ==[ start ]==> ((a b)((a (a a))(a b))) REDUCED to normal form. ------ 49906/3573696. ------ 1. ==[ start ]==> (((^a.a) b)(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)(c (^y.(^z.z)))) 3. ==[ beta ]==> (b (c (^y.(^z.z)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 49907/3573705. ------ 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. ------ 49908/3573732. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a a)(b a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a a)(b a))) REDUCED to normal form. ------ 49909/3573750. ------ 1. ==[ start ]==> (((a a) b)(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) b)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 49910/3573768. ------ 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)((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. ------ 49911/3573795. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 49912/3573822. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 49913/3573831. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 49914/3573849. ------ 1. ==[ start ]==> ((a (^b.a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((a b)(^y.(y y)))) REDUCED to normal form. ------ 49915/3573885. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 49916/3573930. ------ 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. ------ 49917/3573957. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.(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. ------ 49918/3573966. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 49919/3573993. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(^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. ------ 49920/3574020. ------ 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. ------ 49921/3574038. ------ 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)((b a) a)) 4. ==[ alpha ]==> ((^x.x)((b a) a)) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 49922/3574182. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 49923/3574263. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 49924/3574434. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (a a)))((^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. ------ 49925/3574461. ------ 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. ------ 49926/3574488. ------ 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. ------ 49927/3574506. ------ 1. ==[ start ]==> (((^a.(a a)) b)(c (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(c (^y.(a a)))) 3. ==[ beta ]==> ((b b)(c (^y.(a a)))) 4. ==[ alpha ]==> ((b b)(c (^x.(a a)))) REDUCED to normal form. ------ 49928/3574515. ------ 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 (^x.x))(a a))) REDUCED to normal form. ------ 49929/3574542. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^y.y))((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 49930/3574578. ------ 1. ==[ start ]==> (((^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))) 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. ------ 49931/3574632. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^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. ------ 49932/3574641. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.b)((^y.y) a))) 3. ==[ beta ]==> (((a (a a)) b) b) REDUCED to normal form. ------ 49933/3574686. ------ 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.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 11. ==[ beta ]==> (^y.(^z.z)) 12. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 49934/3574695. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 49935/3574722. ------ 1. ==[ start ]==> (((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) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 49936/3574749. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.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. ------ 49937/3574767. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(^x1.(a a)))) REDUCED to normal form. ------ 49938/3574776. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 49939/3574803. ------ 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 a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((^z.z)((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((^y.y)((a a)(^z.z)))) 7. ==[ beta ]==> ((^y.y)((a a)(^z.z))) 8. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 49940/3575064. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> (a ((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> (a ((^x.(^y.y)) a)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 49941/3575235. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(c (^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(c (^y.b))) REDUCED to normal form. ------ 49942/3575262. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^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. ------ 49943/3575307. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> ((a (^x.b))((a a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.b))((a a)(^y.y))) REDUCED to normal form. ------ 49944/3575478. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(^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. ------ 49945/3575496. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a a)(^z.(a a)))) 3. ==[ beta ]==> ((^y.b)((a a)(^z.(a a)))) 4. ==[ alpha ]==> ((^x.b)((a a)(^y.(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 49946/3575640. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(a a))(^b.(^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. ------ 49947/3575667. ------ 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. ------ 49948/3575694. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(^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. ------ 49949/3575766. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.b) b)) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.b) b)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.b) b)) 5. ==[ beta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 49950/3575892. ------ 1. ==[ start ]==> (((a a)(a b))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(a b))((a (^x.x))((a a) a))) REDUCED to normal form. ------ 49951/3575919. ------ 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. ------ 49952/3576045. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(y y))(a (a a)))) 3. ==[ beta ]==> (b ((^y.(y y))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(x x))(a (a a)))) 5. ==[ beta ]==> (b ((a (a a))(a (a a)))) REDUCED to normal form. ------ 49953/3576090. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((^y.(a a))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> ((^x.(a a))((a (^y.y))(^z.a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 49954/3576117. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a a)(^x1.b))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.b))) 5. ==[ beta ]==> ((a a)(^y.b)) 6. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 49955/3576171. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a) a) b)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a) a) b)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((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. ------ 49956/3576261. ------ 1. ==[ start ]==> (((a b) b)((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 49957/3576315. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)(^z.b))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.b)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.b)) REDUCED to normal form. ------ 49958/3576333. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.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) 7. ==[ beta ]==> b REDUCED to normal form. ------ 49959/3576387. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1)) c)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1)) c)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1)) c)) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1)) c)) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1)) c)) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) c)) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) c)) 11. ==[ beta ]==> ((^y.(^z.z)) c) 12. ==[ alpha ]==> ((^x.(^y.y)) c) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 49960/3576450. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(c (^y.(^z.z)))) REDUCED to normal form. ------ 49961/3576477. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b (^z.a))) REDUCED to normal form. ------ 49962/3576504. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(a (^z.b))) 3. ==[ beta ]==> (((a a)(^y.y))(a (^z.b))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.b))) REDUCED to normal form. ------ 49963/3576693. ------ 1. ==[ start ]==> (((^a.b) c)((^c.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. ------ 49964/3576936. ------ 1. ==[ start ]==> (((a b) c)(c (^a.(a a)))) 2. ==[ alpha ]==> (((a b) c)(c (^x.(x x)))) REDUCED to normal form. ------ 49965/3576963. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(b (^b.(^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. ------ 49966/3577008. ------ 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)(^x.x))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 49967/3577035. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 49968/3577044. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((a (^x1.x1))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 49969/3577071. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.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. ------ 49970/3577089. ------ 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))((a (^y.y))(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 49971/3577125. ------ 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)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 49972/3577152. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 49973/3577170. ------ 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)) b)) REDUCED to normal form. ------ 49974/3577179. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 49975/3577206. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 49976/3577233. ------ 1. ==[ start ]==> ((((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 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. ------ 49977/3577269. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(a (^z.z))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(a (^y.y))) REDUCED to normal form. ------ 49978/3577296. ------ 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. ------ 49979/3577323. ------ 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. ------ 49980/3577350. ------ 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. ------ 49981/3577377. ------ 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. ------ 49982/3577683. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) c)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 49983/3577746. ------ 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) REDUCED to normal form. ------ 49984/3577791. ------ 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. ------ 49985/3577818. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a 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. ------ 49986/3577854. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 49987/3577872. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a a) c)) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a a) c)) 3. ==[ beta ]==> (((a b)(a b))((a a) c)) REDUCED to normal form. ------ 49988/3577881. ------ 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. ------ 49989/3577935. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 49990/3577953. ------ 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. ------ 49991/3577962. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(a (^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(a (^y.a))) REDUCED to normal form. ------ 49992/3577989. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(^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))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 49993/3578016. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^x1.x1))) REDUCED to normal form. ------ 49994/3578061. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a a) b)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a) b)) REDUCED to normal form. ------ 49995/3578079. ------ 1. ==[ start ]==> (((a a)(b a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(a (a (^x.x)))) REDUCED to normal form. ------ 49996/3578106. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 49997/3578133. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(b a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(b a)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(b a)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(b a)) 5. ==[ beta ]==> ((a (a a))(b a)) REDUCED to normal form. ------ 49998/3578160. ------ 1. ==[ start ]==> (((a (a a))(a b))(a b)) REDUCED to normal form. ------ 49999/3578187. ------ 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. ------ 50000/3578214. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(a a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(a a)) 3. ==[ beta ]==> ((((a a) a)(^y.y))(a a)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form.